TSTP Solution File: ALG375-1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : ALG375-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n027.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 17:11:36 EDT 2022
% Result : Unsatisfiable 3.92s 4.11s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
cnf(clsarity_Complex__Ocomplex__Int_Onumber,axiom,
class_Int_Onumber(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Int_Onumber_0,plain,
( class_Int_Onumber(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Int_Onumber]) ).
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__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Int_Oring__char__0_0,plain,
( class_Int_Oring__char__0(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Int_Oring__char__0]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Oidom_0,plain,
( class_Ring__and__Field_Oidom(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oidom]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Oring_0,plain,
( class_Ring__and__Field_Oring(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ofield_0,plain,
( class_Ring__and__Field_Ofield(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ofield]) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__field,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__RealVector_Oreal__field_0,plain,
( class_RealVector_Oreal__field(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__field]) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add_0,plain,
( class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add]) ).
cnf(clsarity_Complex__Ocomplex__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_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_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__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add_0,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add]) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult_0,plain,
( class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult]) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector_0,plain,
( class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector]) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult_0,plain,
( class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult]) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra_0,plain,
( class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero_0,plain,
( class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors_0,plain,
( class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors]) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1_0,plain,
( class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1]) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add]) ).
cnf(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra_0,plain,
( class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors_0,plain,
( class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors]) ).
cnf(clsarity_RealDef__Oreal__Int_Onumber,axiom,
class_Int_Onumber(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Int_Onumber_0,plain,
( class_Int_Onumber(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber]) ).
cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Int_Onumber__ring_0,plain,
( class_Int_Onumber__ring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber__ring]) ).
cnf(clsarity_RealDef__Oreal__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Int_Oring__char__0_0,plain,
( class_Int_Oring__char__0(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Int_Oring__char__0]) ).
cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Orderings_Oorder_0,plain,
( class_Orderings_Oorder(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Oorder]) ).
cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Orderings_Olinorder_0,plain,
( class_Orderings_Olinorder(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Olinorder]) ).
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Orderings_Opreorder_0,plain,
( class_Orderings_Opreorder(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,plain,
( class_Ring__and__Field_Oidom(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
class_Ring__and__Field_Oring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oring_0,plain,
( class_Ring__and__Field_Oring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ofield,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Ofield_0,plain,
( class_Ring__and__Field_Ofield(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ofield]) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__field,axiom,
class_RealVector_Oreal__field(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__RealVector_Oreal__field_0,plain,
( class_RealVector_Oreal__field(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__field]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if,axiom,
class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if_0,plain,
( class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add_0,plain,
( class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add_0,plain,
( class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring,axiom,
class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Osemiring_0,plain,
( class_Ring__and__Field_Osemiring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osemiring]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult_0,plain,
( class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono,axiom,
class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono_0,plain,
( class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero,axiom,
class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero_0,plain,
( class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add_0,plain,
( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1_0,plain,
( class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom_0,plain,
( class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one_0,plain,
( class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add_0,plain,
( class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add]) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field,axiom,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__field_0,plain,
( class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__field]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring_0,plain,
( class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring,axiom,
class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring_0,plain,
( class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field_0,plain,
( class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring_0,plain,
( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add_0,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult_0,plain,
( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult]) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector_0,plain,
( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult_0,plain,
( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult]) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra_0,plain,
( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom_0,plain,
( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero_0,plain,
( class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors_0,plain,
( class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring,axiom,
class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring_0,plain,
( class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring]) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1_0,plain,
( class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs_0,plain,
( class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring,axiom,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring_0,plain,
( class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add_0,plain,
( class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add_0,plain,
( class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add_0,plain,
( class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add]) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra_0,plain,
( class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict_0,plain,
( class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors_0,plain,
( class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add_0,plain,
( class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs_0,plain,
( class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs_0,plain,
( class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict_0,plain,
( class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring_0,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict_0,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add]) ).
cnf(clsarity_Int__Oint__Int_Onumber,axiom,
class_Int_Onumber(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Int_Onumber_0,plain,
( class_Int_Onumber(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Int_Onumber]) ).
cnf(clsarity_Int__Oint__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Int_Onumber__ring_0,plain,
( class_Int_Onumber__ring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Int_Onumber__ring]) ).
cnf(clsarity_Int__Oint__Int_Oring__char__0,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Int_Oring__char__0_0,plain,
( class_Int_Oring__char__0(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Int_Oring__char__0]) ).
cnf(clsarity_Int__Oint__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Orderings_Oorder_0,plain,
( class_Orderings_Oorder(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Orderings_Oorder]) ).
cnf(clsarity_Int__Oint__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Orderings_Olinorder_0,plain,
( class_Orderings_Olinorder(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Orderings_Olinorder]) ).
cnf(clsarity_Int__Oint__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Orderings_Opreorder_0,plain,
( class_Orderings_Opreorder(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Orderings_Opreorder]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oidom_0,plain,
( class_Ring__and__Field_Oidom(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oidom]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oring,axiom,
class_Ring__and__Field_Oring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oring_0,plain,
( class_Ring__and__Field_Oring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oring]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oabs__if,axiom,
class_Ring__and__Field_Oabs__if(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oabs__if_0,plain,
( class_Ring__and__Field_Oabs__if(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oabs__if]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ogroup__add,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Ogroup__add_0,plain,
( class_OrderedGroup_Ogroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ogroup__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__add,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Omonoid__add_0,plain,
( class_OrderedGroup_Omonoid__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Omonoid__add]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Osemiring,axiom,
class_Ring__and__Field_Osemiring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Osemiring_0,plain,
( class_Ring__and__Field_Osemiring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Osemiring]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Omonoid__mult,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Omonoid__mult_0,plain,
( class_OrderedGroup_Omonoid__mult(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Omonoid__mult]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono,axiom,
class_Ring__and__Field_Omult__mono(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Omult__mono_0,plain,
( class_Ring__and__Field_Omult__mono(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Omult__mono]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Omult__zero,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Omult__zero_0,plain,
( class_Ring__and__Field_Omult__zero(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Omult__zero]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__group__add,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Oab__group__add_0,plain,
( class_OrderedGroup_Oab__group__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__group__add]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Omult__mono1,axiom,
class_Ring__and__Field_Omult__mono1(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Omult__mono1_0,plain,
( class_Ring__and__Field_Omult__mono1(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Omult__mono1]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__idom,axiom,
class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oordered__idom_0,plain,
( class_Ring__and__Field_Oordered__idom(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__idom]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one_0,plain,
( class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add_0,plain,
( class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring_0,plain,
( class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Olordered__ring,axiom,
class_Ring__and__Field_Olordered__ring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Olordered__ring_0,plain,
( class_Ring__and__Field_Olordered__ring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Olordered__ring]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring,axiom,
class_Ring__and__Field_Opordered__ring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Opordered__ring_0,plain,
( class_Ring__and__Field_Opordered__ring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Opordered__ring]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add_0,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult_0,plain,
( class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult_0,plain,
( class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oordered__semidom_0,plain,
( class_Ring__and__Field_Oordered__semidom(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__semidom]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors_0,plain,
( class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring,axiom,
class_Ring__and__Field_Oordered__semiring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring_0,plain,
( class_Ring__and__Field_Oordered__semiring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__semiring]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs_0,plain,
( class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring,axiom,
class_Ring__and__Field_Opordered__semiring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Opordered__semiring_0,plain,
( class_Ring__and__Field_Opordered__semiring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Opordered__semiring]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add_0,plain,
( class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add_0,plain,
( class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add_0,plain,
( class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict_0,plain,
( class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add_0,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors_0,plain,
( class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add_0,plain,
( class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs_0,plain,
( class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs_0,plain,
( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict_0,plain,
( class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring_0,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring]) ).
cnf(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict_0,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le]) ).
cnf(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
input ).
fof(clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint)
| $false ),
inference(orientation,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add]) ).
cnf(cls_CHAINED_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
input ).
fof(cls_CHAINED_0_0,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_CHAINED_0]) ).
cnf(cls_rel__simps_I49_J_0,axiom,
c_Int_OBit0(V_k) != c_Int_OBit1(V_l),
input ).
fof(cls_rel__simps_I49_J_0_0,plain,
! [V_k,V_l] :
( c_Int_OBit0(V_k) != c_Int_OBit1(V_l)
| $false ),
inference(orientation,[status(thm)],[cls_rel__simps_I49_J_0]) ).
cnf(cls_e2_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_e2_0_0,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_e2_0]) ).
cnf(cls_e_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_e_0_0,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_e_0]) ).
cnf(cls_rel__simps_I38_J_1,axiom,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
input ).
fof(cls_rel__simps_I38_J_1_0,plain,
( c_Int_OPls = c_Int_OBit0(c_Int_OPls)
| $false ),
inference(orientation,[status(thm)],[cls_rel__simps_I38_J_1]) ).
cnf(cls_rel__simps_I50_J_0,axiom,
c_Int_OBit1(V_k) != c_Int_OBit0(V_l),
input ).
fof(cls_rel__simps_I50_J_0_0,plain,
! [V_k,V_l] :
( c_Int_OBit1(V_k) != c_Int_OBit0(V_l)
| $false ),
inference(orientation,[status(thm)],[cls_rel__simps_I50_J_0]) ).
cnf(cls_Bit0__Pls_0,axiom,
c_Int_OBit0(c_Int_OPls) = c_Int_OPls,
input ).
fof(cls_Bit0__Pls_0_0,plain,
( c_Int_OBit0(c_Int_OPls) = c_Int_OPls
| $false ),
inference(orientation,[status(thm)],[cls_Bit0__Pls_0]) ).
cnf(cls_real__less__def_1,axiom,
~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal),
input ).
fof(cls_real__less__def_1_0,plain,
! [V_x] :
( ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__less__def_1]) ).
cnf(cls_rel__simps_I39_J_0,axiom,
c_Int_OPls != c_Int_OBit1(V_l),
input ).
fof(cls_rel__simps_I39_J_0_0,plain,
! [V_l] :
( c_Int_OPls != c_Int_OBit1(V_l)
| $false ),
inference(orientation,[status(thm)],[cls_rel__simps_I39_J_0]) ).
cnf(cls_real__minus__half__eq_0,axiom,
c_HOL_Ominus__class_Ominus(V_x,c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_real__minus__half__eq_0_0,plain,
! [V_x] :
( c_HOL_Ominus__class_Ominus(V_x,c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__minus__half__eq_0]) ).
cnf(cls_rel__simps_I46_J_0,axiom,
c_Int_OBit1(V_k) != c_Int_OPls,
input ).
fof(cls_rel__simps_I46_J_0_0,plain,
! [V_k] :
( c_Int_OBit1(V_k) != c_Int_OPls
| $false ),
inference(orientation,[status(thm)],[cls_rel__simps_I46_J_0]) ).
cnf(cls_minus__pi__half__less__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_minus__pi__half__less__zero_0_0,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_minus__pi__half__less__zero_0]) ).
cnf(cls_pi__half__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_pi__half__gt__zero_0_0,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__half__gt__zero_0]) ).
cnf(cls_real__average__minus__second_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_real__average__minus__second_0_0,plain,
! [V_a,V_b] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__average__minus__second_0]) ).
cnf(cls_real__average__minus__first_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_real__average__minus__first_0_0,plain,
! [V_a,V_b] :
( c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__average__minus__first_0]) ).
cnf(cls_pi__half__less__two_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_pi__half__less__two_0_0,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__half__less__two_0]) ).
cnf(cls_pi__half__neq__zero_0,axiom,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_pi__half__neq__zero_0_0,plain,
( c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__half__neq__zero_0]) ).
cnf(cls_real__sqrt__two__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__two__gt__zero_0_0,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__two__gt__zero_0]) ).
cnf(cls_cos__two__less__zero_0,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_cos__two__less__zero_0_0,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__two__less__zero_0]) ).
cnf(cls_eq__divide__2__times__iff_0,axiom,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_y,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),V_z,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_y,V_z,tc_RealDef_Oreal),
input ).
fof(cls_eq__divide__2__times__iff_0_0,plain,
! [V_y,V_z] :
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_y,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),V_z,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_y,V_z,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_eq__divide__2__times__iff_0]) ).
cnf(cls_pi__half__neq__two_0,axiom,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),
input ).
fof(cls_pi__half__neq__two_0_0,plain,
( c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__half__neq__two_0]) ).
cnf(cls_real__sum__of__halves_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = V_x,
input ).
fof(cls_real__sum__of__halves_0_0,plain,
! [V_x] :
( c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = V_x
| $false ),
inference(orientation,[status(thm)],[cls_real__sum__of__halves_0]) ).
cnf(cls_pi__less__4_0,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_pi__less__4_0_0,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__less__4_0]) ).
cnf(cls_cos__two__neq__zero_0,axiom,
c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_cos__two__neq__zero_0_0,plain,
( c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__two__neq__zero_0]) ).
cnf(cls_tan__60_0,axiom,
c_Transcendental_Otan(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),
input ).
fof(cls_tan__60_0_0,plain,
( c_Transcendental_Otan(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal))
| $false ),
inference(orientation,[status(thm)],[cls_tan__60_0]) ).
cnf(cls_sin__double_0,axiom,
c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),
input ).
fof(cls_sin__double_0_0,plain,
! [V_x] :
( c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__double_0]) ).
cnf(cls_abs__sum__triangle__ineq_0,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_abs__sum__triangle__ineq_0_0,plain,
! [V_l,V_m,V_x,V_y] :
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_abs__sum__triangle__ineq_0]) ).
cnf(cls_tan__minus_0,axiom,
c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(V_x),tc_RealDef_Oreal),
input ).
fof(cls_tan__minus_0_0,plain,
! [V_x] :
( c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_tan__minus_0]) ).
cnf(cls_sin__minus_0,axiom,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),
input ).
fof(cls_sin__minus_0_0,plain,
! [V_x] :
( c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__minus_0]) ).
cnf(cls_real__sqrt__minus_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__minus_0_0,plain,
! [V_x] :
( c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__minus_0]) ).
cnf(cls_cos__minus_0,axiom,
c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x),
input ).
fof(cls_cos__minus_0_0,plain,
! [V_x] :
( c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x)
| $false ),
inference(orientation,[status(thm)],[cls_cos__minus_0]) ).
cnf(cls_real__sqrt__divide_0,axiom,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__divide_0_0,plain,
! [V_x,V_y] :
( c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__divide_0]) ).
cnf(cls_real__divide__square__eq_0,axiom,
c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_r,V_a,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_r,V_r,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_a,V_r,tc_RealDef_Oreal),
input ).
fof(cls_real__divide__square__eq_0_0,plain,
! [V_a,V_r] :
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_r,V_a,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_r,V_r,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_a,V_r,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__divide__square__eq_0]) ).
cnf(cls_tan__periodic_0,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x),
input ).
fof(cls_tan__periodic_0_0,plain,
! [V_x] :
( c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x)
| $false ),
inference(orientation,[status(thm)],[cls_tan__periodic_0]) ).
cnf(cls_cos__periodic_0,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x),
input ).
fof(cls_cos__periodic_0_0,plain,
! [V_x] :
( c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x)
| $false ),
inference(orientation,[status(thm)],[cls_cos__periodic_0]) ).
cnf(cls_sin__periodic_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(V_x),
input ).
fof(cls_sin__periodic_0_0,plain,
! [V_x] :
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(V_x)
| $false ),
inference(orientation,[status(thm)],[cls_sin__periodic_0]) ).
cnf(cls_sin__zero_0,axiom,
c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_sin__zero_0_0,plain,
( c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__zero_0]) ).
cnf(cls_real__sqrt__zero_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__zero_0_0,plain,
( c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__zero_0]) ).
cnf(cls_pi__neq__zero_0,axiom,
c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_pi__neq__zero_0_0,plain,
( c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__neq__zero_0]) ).
cnf(cls_tan__zero_0,axiom,
c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_tan__zero_0_0,plain,
( c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_tan__zero_0]) ).
cnf(cls_m2pi__less__pi_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
input ).
fof(cls_m2pi__less__pi_0_0,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_m2pi__less__pi_0]) ).
cnf(cls_pi__half__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_pi__half__ge__zero_0_0,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__half__ge__zero_0]) ).
cnf(cls_cos__pi__half_0,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_cos__pi__half_0_0,plain,
( c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__pi__half_0]) ).
cnf(cls_pi__half__le__two_0,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_pi__half__le__two_0_0,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__half__le__two_0]) ).
cnf(cls_cos__two__le__zero_0,axiom,
c_lessequals(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_cos__two__le__zero_0_0,plain,
( c_lessequals(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__two__le__zero_0]) ).
cnf(cls_real__sqrt__two__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__two__ge__zero_0_0,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__two__ge__zero_0]) ).
cnf(cls_abs__minus__add__cancel_0,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_abs__minus__add__cancel_0_0,plain,
! [V_x,V_y] :
( c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_abs__minus__add__cancel_0]) ).
cnf(cls_complex__mod__minus__le__complex__mod_0,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),
input ).
fof(cls_complex__mod__minus__le__complex__mod_0_0,plain,
! [V_x] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_complex__mod__minus__le__complex__mod_0]) ).
cnf(cls_real__diff__def_0,axiom,
c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_real__diff__def_0_0,plain,
! [V_r,V_s] :
( c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__diff__def_0]) ).
cnf(cls_lemma__MVT_0,axiom,
c_HOL_Ominus__class_Ominus(hAPP(V_f,V_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_b,tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_lemma__MVT_0_0,plain,
! [V_a,V_b,V_f] :
( c_HOL_Ominus__class_Ominus(hAPP(V_f,V_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_b,tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_lemma__MVT_0]) ).
cnf(cls_real__add__eq__0__iff_1,axiom,
c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_real__add__eq__0__iff_1_0,plain,
! [V_x] :
( c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__add__eq__0__iff_1]) ).
cnf(cls_cos__sin__eq_0,axiom,
c_Transcendental_Ocos(V_x) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)),
input ).
fof(cls_cos__sin__eq_0_0,plain,
! [V_x] :
( c_Transcendental_Ocos(V_x) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal))
| $false ),
inference(orientation,[status(thm)],[cls_cos__sin__eq_0]) ).
cnf(cls_sin__cos__eq_0,axiom,
c_Transcendental_Osin(V_x) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)),
input ).
fof(cls_sin__cos__eq_0_0,plain,
! [V_x] :
( c_Transcendental_Osin(V_x) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal))
| $false ),
inference(orientation,[status(thm)],[cls_sin__cos__eq_0]) ).
cnf(cls_cos__3over2__pi_0,axiom,
c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_cos__3over2__pi_0_0,plain,
( c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__3over2__pi_0]) ).
cnf(cls_pi__ge__two_0,axiom,
c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
input ).
fof(cls_pi__ge__two_0_0,plain,
( c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__ge__two_0]) ).
cnf(cls_pi__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
input ).
fof(cls_pi__gt__zero_0_0,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__gt__zero_0]) ).
cnf(cls_not__real__square__gt__zero_1,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_not__real__square__gt__zero_1_0,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_not__real__square__gt__zero_1]) ).
cnf(cls_pi__not__less__zero_0,axiom,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_pi__not__less__zero_0_0,plain,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__not__less__zero_0]) ).
cnf(cls_tan__periodic__n_0,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_n,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x),
input ).
fof(cls_tan__periodic__n_0_0,plain,
! [V_n,V_x] :
( c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_n,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x)
| $false ),
inference(orientation,[status(thm)],[cls_tan__periodic__n_0]) ).
cnf(cls_le__real__sqrt__sumsq_0,axiom,
c_lessequals(V_x,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
input ).
fof(cls_le__real__sqrt__sumsq_0_0,plain,
! [V_x,V_y] :
( c_lessequals(V_x,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_le__real__sqrt__sumsq_0]) ).
cnf(cls_real__minus__mult__self__le_0,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_real__minus__mult__self__le_0_0,plain,
! [V_u,V_x] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__minus__mult__self__le_0]) ).
cnf(cls_real__sqrt__mult_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__mult_0_0,plain,
! [V_x,V_y] :
( c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__mult_0]) ).
cnf(cls_sin__pi_0,axiom,
c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_sin__pi_0_0,plain,
( c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__pi_0]) ).
cnf(cls_sin__periodic__pi_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),
input ).
fof(cls_sin__periodic__pi_0_0,plain,
! [V_x] :
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__periodic__pi_0]) ).
cnf(cls_sin__periodic__pi2_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal),
input ).
fof(cls_sin__periodic__pi2_0_0,plain,
! [V_x] :
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__periodic__pi2_0]) ).
cnf(cls_cos__add_0,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_cos__add_0_0,plain,
! [V_x,V_y] :
( c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__add_0]) ).
cnf(cls_real__mult__commute_0,axiom,
c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal),
input ).
fof(cls_real__mult__commute_0_0,plain,
! [V_w,V_z] :
( c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__mult__commute_0]) ).
cnf(cls_cos__periodic__pi_0,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),
input ).
fof(cls_cos__periodic__pi_0_0,plain,
! [V_x] :
( c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__periodic__pi_0]) ).
cnf(cls_real__mult__self__sum__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_real__mult__self__sum__ge__zero_0_0,plain,
! [V_x,V_y] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__mult__self__sum__ge__zero_0]) ).
cnf(cls_sin__add_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_sin__add_0_0,plain,
! [V_x,V_y] :
( c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__add_0]) ).
cnf(cls_cos__30_0,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_cos__30_0_0,plain,
( c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__30_0]) ).
cnf(cls_cos__45_0,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_cos__45_0_0,plain,
( c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__45_0]) ).
cnf(cls_real__mult__assoc_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_real__mult__assoc_0_0,plain,
! [V_z1,V_z2,V_z3] :
( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__mult__assoc_0]) ).
cnf(cls_real__add__mult__distrib_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_RealDef_Oreal),V_w,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_z1,V_w,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z2,V_w,tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_real__add__mult__distrib_0_0,plain,
! [V_w,V_z1,V_z2] :
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_RealDef_Oreal),V_w,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_z1,V_w,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z2,V_w,tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__add__mult__distrib_0]) ).
cnf(cls_real__sqrt__mult__self__sum__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__mult__self__sum__ge__zero_0_0,plain,
! [V_x,V_y] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__mult__self__sum__ge__zero_0]) ).
cnf(cls_tan__def_0,axiom,
c_Transcendental_Otan(V_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),
input ).
fof(cls_tan__def_0_0,plain,
! [V_x] :
( c_Transcendental_Otan(V_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_tan__def_0]) ).
cnf(cls_sin__diff2_0,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_sin__diff2_0_0,plain,
! [V_x,V_y] :
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__diff2_0]) ).
cnf(cls_tan__periodic__pi_0,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x),
input ).
fof(cls_tan__periodic__pi_0_0,plain,
! [V_x] :
( c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x)
| $false ),
inference(orientation,[status(thm)],[cls_tan__periodic__pi_0]) ).
cnf(cls_tan__pi_0,axiom,
c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_tan__pi_0_0,plain,
( c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_tan__pi_0]) ).
cnf(cls_real__sqrt__abs2_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__abs2_0_0,plain,
! [V_x] :
( c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__abs2_0]) ).
cnf(cls_cos__diff2_0,axiom,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_cos__diff2_0_0,plain,
! [V_x,V_y] :
( c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__diff2_0]) ).
cnf(cls_cos__diff_0,axiom,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_cos__diff_0_0,plain,
! [V_x,V_y] :
( c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_cos__diff_0]) ).
cnf(cls_pi__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
input ).
fof(cls_pi__ge__zero_0_0,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pi__ge__zero_0]) ).
cnf(cls_real__le__refl_0,axiom,
c_lessequals(V_w,V_w,tc_RealDef_Oreal),
input ).
fof(cls_real__le__refl_0_0,plain,
! [V_w] :
( c_lessequals(V_w,V_w,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__le__refl_0]) ).
cnf(cls_sin__60_0,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_sin__60_0_0,plain,
( c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__60_0]) ).
cnf(cls_sin__45_0,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_sin__45_0_0,plain,
( c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__45_0]) ).
cnf(cls_sin__two__pi_0,axiom,
c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_sin__two__pi_0_0,plain,
( c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__two__pi_0]) ).
cnf(cls_minus__sin__cos__eq_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
input ).
fof(cls_minus__sin__cos__eq_0_0,plain,
! [V_x] :
( c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal))
| $false ),
inference(orientation,[status(thm)],[cls_minus__sin__cos__eq_0]) ).
cnf(cls_sin__diff_0,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_sin__diff_0_0,plain,
! [V_x,V_y] :
( c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_sin__diff_0]) ).
cnf(cls_real__two__squares__add__zero__iff_2,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_real__two__squares__add__zero__iff_2_0,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__two__squares__add__zero__iff_2]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[cls_real__two__squares__add__zero__iff_2_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [V_y,V_x] :
( lhs_atom2(V_y,V_x)
<=> c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [V_x,V_y] :
( lhs_atom2(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__diff_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [V_x] :
( lhs_atom3(V_x)
<=> c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)) ),
inference(definition,[],]) ).
fof(to_be_clausified_2,plain,
! [V_x] :
( lhs_atom3(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_minus__sin__cos__eq_0_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__two__pi_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
( lhs_atom5
<=> c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_4,plain,
( lhs_atom5
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__45_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
( lhs_atom6
<=> c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
( lhs_atom6
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__60_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V_w] :
( lhs_atom7(V_w)
<=> c_lessequals(V_w,V_w,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [V_w] :
( lhs_atom7(V_w)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__le__refl_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
( lhs_atom8
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
( lhs_atom8
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__ge__zero_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V_y,V_x] :
( lhs_atom9(V_y,V_x)
<=> c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_8,plain,
! [V_x,V_y] :
( lhs_atom9(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__diff_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V_y,V_x] :
( lhs_atom10(V_y,V_x)
<=> c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_9,plain,
! [V_x,V_y] :
( lhs_atom10(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__diff2_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [V_x] :
( lhs_atom11(V_x)
<=> c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(V_x,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_10,plain,
! [V_x] :
( lhs_atom11(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__abs2_0_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
( lhs_atom12
<=> c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_11,plain,
( lhs_atom12
| $false ),
inference(fold_definition,[status(thm)],[cls_tan__pi_0_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [V_x] :
( lhs_atom13(V_x)
<=> c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
! [V_x] :
( lhs_atom13(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_tan__periodic__pi_0_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [V_y,V_x] :
( lhs_atom14(V_y,V_x)
<=> c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_y),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_y),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_13,plain,
! [V_x,V_y] :
( lhs_atom14(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__diff2_0_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [V_x] :
( lhs_atom15(V_x)
<=> c_Transcendental_Otan(V_x) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
! [V_x] :
( lhs_atom15(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_tan__def_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [V_y,V_x] :
( lhs_atom16(V_y,V_x)
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_15,plain,
! [V_x,V_y] :
( lhs_atom16(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__mult__self__sum__ge__zero_0_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [V_z2,V_z1,V_w] :
( lhs_atom17(V_z2,V_z1,V_w)
<=> c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(V_z1,V_z2,tc_RealDef_Oreal),V_w,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_z1,V_w,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_z2,V_w,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [V_w,V_z1,V_z2] :
( lhs_atom17(V_z2,V_z1,V_w)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__add__mult__distrib_0_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [V_z3,V_z2,V_z1] :
( lhs_atom18(V_z3,V_z2,V_z1)
<=> c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(V_z1,V_z2,tc_RealDef_Oreal),V_z3,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_z1,c_HOL_Otimes__class_Otimes(V_z2,V_z3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
! [V_z1,V_z2,V_z3] :
( lhs_atom18(V_z3,V_z2,V_z1)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__mult__assoc_0_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
( lhs_atom19
<=> c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_18,plain,
( lhs_atom19
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__45_0_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
( lhs_atom20
<=> c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_19,plain,
( lhs_atom20
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__30_0_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [V_y,V_x] :
( lhs_atom21(V_y,V_x)
<=> c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_20,plain,
! [V_x,V_y] :
( lhs_atom21(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__add_0_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [V_y,V_x] :
( lhs_atom22(V_y,V_x)
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_21,plain,
! [V_x,V_y] :
( lhs_atom22(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__mult__self__sum__ge__zero_0_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [V_x] :
( lhs_atom23(V_x)
<=> c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [V_x] :
( lhs_atom23(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__periodic__pi_0_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [V_z,V_w] :
( lhs_atom24(V_z,V_w)
<=> c_HOL_Otimes__class_Otimes(V_z,V_w,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(V_w,V_z,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [V_w,V_z] :
( lhs_atom24(V_z,V_w)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__mult__commute_0_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [V_y,V_x] :
( lhs_atom25(V_y,V_x)
<=> c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(V_x),c_Transcendental_Ocos(V_y),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(V_x),c_Transcendental_Osin(V_y),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [V_x,V_y] :
( lhs_atom25(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__add_0_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [V_x] :
( lhs_atom26(V_x)
<=> c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_25,plain,
! [V_x] :
( lhs_atom26(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__periodic__pi2_0_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [V_x] :
( lhs_atom27(V_x)
<=> c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_26,plain,
! [V_x] :
( lhs_atom27(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__periodic__pi_0_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
( lhs_atom28
<=> c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
( lhs_atom28
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__pi_0_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [V_y,V_x] :
( lhs_atom29(V_y,V_x)
<=> c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [V_x,V_y] :
( lhs_atom29(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__mult_0_0,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [V_x,V_u] :
( lhs_atom30(V_x,V_u)
<=> c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(V_u,V_u,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [V_u,V_x] :
( lhs_atom30(V_x,V_u)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__minus__mult__self__le_0_0,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
! [V_y,V_x] :
( lhs_atom31(V_y,V_x)
<=> c_lessequals(V_x,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(V_x,V_x,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_y,V_y,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
! [V_x,V_y] :
( lhs_atom31(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_le__real__sqrt__sumsq_0_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [V_x,V_n] :
( lhs_atom32(V_x,V_n)
<=> c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(V_n,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [V_n,V_x] :
( lhs_atom32(V_x,V_n)
| $false ),
inference(fold_definition,[status(thm)],[cls_tan__periodic__n_0_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
( lhs_atom33
<=> ~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
( lhs_atom33
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__not__less__zero_0_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
( lhs_atom34
<=> ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_33,plain,
( lhs_atom34
| $false ),
inference(fold_definition,[status(thm)],[cls_not__real__square__gt__zero_1_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
( lhs_atom35
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
( lhs_atom35
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__gt__zero_0_0,def_lhs_atom35]) ).
fof(def_lhs_atom36,axiom,
( lhs_atom36
<=> c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_35,plain,
( lhs_atom36
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__ge__two_0_0,def_lhs_atom36]) ).
fof(def_lhs_atom37,axiom,
( lhs_atom37
<=> c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_36,plain,
( lhs_atom37
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__3over2__pi_0_0,def_lhs_atom37]) ).
fof(def_lhs_atom38,axiom,
! [V_x] :
( lhs_atom38(V_x)
<=> c_Transcendental_Osin(V_x) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)) ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
! [V_x] :
( lhs_atom38(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__cos__eq_0_0,def_lhs_atom38]) ).
fof(def_lhs_atom39,axiom,
! [V_x] :
( lhs_atom39(V_x)
<=> c_Transcendental_Ocos(V_x) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [V_x] :
( lhs_atom39(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__sin__eq_0_0,def_lhs_atom39]) ).
fof(def_lhs_atom40,axiom,
! [V_x] :
( lhs_atom40(V_x)
<=> c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_39,plain,
! [V_x] :
( lhs_atom40(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__add__eq__0__iff_1_0,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
! [V_f,V_b,V_a] :
( lhs_atom41(V_f,V_b,V_a)
<=> c_HOL_Ominus__class_Ominus(hAPP(V_f,V_a),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(V_f,V_b),hAPP(V_f,V_a),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),tc_RealDef_Oreal),V_b,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_40,plain,
! [V_a,V_b,V_f] :
( lhs_atom41(V_f,V_b,V_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_lemma__MVT_0_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
! [V_s,V_r] :
( lhs_atom42(V_s,V_r)
<=> c_HOL_Ominus__class_Ominus(V_r,V_s,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(V_r,c_HOL_Ouminus__class_Ouminus(V_s,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_41,plain,
! [V_r,V_s] :
( lhs_atom42(V_s,V_r)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__diff__def_0_0,def_lhs_atom42]) ).
fof(def_lhs_atom43,axiom,
! [V_x] :
( lhs_atom43(V_x)
<=> c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_42,plain,
! [V_x] :
( lhs_atom43(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_complex__mod__minus__le__complex__mod_0_0,def_lhs_atom43]) ).
fof(def_lhs_atom44,axiom,
! [V_y,V_x] :
( lhs_atom44(V_y,V_x)
<=> c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_y,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_43,plain,
! [V_x,V_y] :
( lhs_atom44(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_abs__minus__add__cancel_0_0,def_lhs_atom44]) ).
fof(def_lhs_atom45,axiom,
( lhs_atom45
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_44,plain,
( lhs_atom45
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__two__ge__zero_0_0,def_lhs_atom45]) ).
fof(def_lhs_atom46,axiom,
( lhs_atom46
<=> c_lessequals(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_45,plain,
( lhs_atom46
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__two__le__zero_0_0,def_lhs_atom46]) ).
fof(def_lhs_atom47,axiom,
( lhs_atom47
<=> c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_46,plain,
( lhs_atom47
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__half__le__two_0_0,def_lhs_atom47]) ).
fof(def_lhs_atom48,axiom,
( lhs_atom48
<=> c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_47,plain,
( lhs_atom48
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__pi__half_0_0,def_lhs_atom48]) ).
fof(def_lhs_atom49,axiom,
( lhs_atom49
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_48,plain,
( lhs_atom49
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__half__ge__zero_0_0,def_lhs_atom49]) ).
fof(def_lhs_atom50,axiom,
( lhs_atom50
<=> c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_49,plain,
( lhs_atom50
| $false ),
inference(fold_definition,[status(thm)],[cls_m2pi__less__pi_0_0,def_lhs_atom50]) ).
fof(def_lhs_atom51,axiom,
( lhs_atom51
<=> c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_50,plain,
( lhs_atom51
| $false ),
inference(fold_definition,[status(thm)],[cls_tan__zero_0_0,def_lhs_atom51]) ).
fof(def_lhs_atom52,axiom,
( lhs_atom52
<=> c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_51,plain,
( lhs_atom52
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__neq__zero_0_0,def_lhs_atom52]) ).
fof(def_lhs_atom53,axiom,
( lhs_atom53
<=> c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_52,plain,
( lhs_atom53
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__zero_0_0,def_lhs_atom53]) ).
fof(def_lhs_atom54,axiom,
( lhs_atom54
<=> c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_53,plain,
( lhs_atom54
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__zero_0_0,def_lhs_atom54]) ).
fof(def_lhs_atom55,axiom,
! [V_x] :
( lhs_atom55(V_x)
<=> c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(V_x) ),
inference(definition,[],]) ).
fof(to_be_clausified_54,plain,
! [V_x] :
( lhs_atom55(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__periodic_0_0,def_lhs_atom55]) ).
fof(def_lhs_atom56,axiom,
! [V_x] :
( lhs_atom56(V_x)
<=> c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x) ),
inference(definition,[],]) ).
fof(to_be_clausified_55,plain,
! [V_x] :
( lhs_atom56(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__periodic_0_0,def_lhs_atom56]) ).
fof(def_lhs_atom57,axiom,
! [V_x] :
( lhs_atom57(V_x)
<=> c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(V_x) ),
inference(definition,[],]) ).
fof(to_be_clausified_56,plain,
! [V_x] :
( lhs_atom57(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_tan__periodic_0_0,def_lhs_atom57]) ).
fof(def_lhs_atom58,axiom,
! [V_r,V_a] :
( lhs_atom58(V_r,V_a)
<=> c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(V_r,V_a,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(V_r,V_r,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_a,V_r,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_57,plain,
! [V_a,V_r] :
( lhs_atom58(V_r,V_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__divide__square__eq_0_0,def_lhs_atom58]) ).
fof(def_lhs_atom59,axiom,
! [V_y,V_x] :
( lhs_atom59(V_y,V_x)
<=> c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(V_x,V_y,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(V_x),c_NthRoot_Osqrt(V_y),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_58,plain,
! [V_x,V_y] :
( lhs_atom59(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__divide_0_0,def_lhs_atom59]) ).
fof(def_lhs_atom60,axiom,
! [V_x] :
( lhs_atom60(V_x)
<=> c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_Transcendental_Ocos(V_x) ),
inference(definition,[],]) ).
fof(to_be_clausified_59,plain,
! [V_x] :
( lhs_atom60(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__minus_0_0,def_lhs_atom60]) ).
fof(def_lhs_atom61,axiom,
! [V_x] :
( lhs_atom61(V_x)
<=> c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_60,plain,
! [V_x] :
( lhs_atom61(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__minus_0_0,def_lhs_atom61]) ).
fof(def_lhs_atom62,axiom,
! [V_x] :
( lhs_atom62(V_x)
<=> c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_61,plain,
! [V_x] :
( lhs_atom62(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__minus_0_0,def_lhs_atom62]) ).
fof(def_lhs_atom63,axiom,
! [V_x] :
( lhs_atom63(V_x)
<=> c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_62,plain,
! [V_x] :
( lhs_atom63(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_tan__minus_0_0,def_lhs_atom63]) ).
fof(def_lhs_atom64,axiom,
! [V_y,V_x,V_m,V_l] :
( lhs_atom64(V_y,V_x,V_m,V_l)
<=> c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_x,c_HOL_Ouminus__class_Ouminus(V_l,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(V_y,c_HOL_Ouminus__class_Ouminus(V_m,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_63,plain,
! [V_l,V_m,V_x,V_y] :
( lhs_atom64(V_y,V_x,V_m,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_abs__sum__triangle__ineq_0_0,def_lhs_atom64]) ).
fof(def_lhs_atom65,axiom,
! [V_x] :
( lhs_atom65(V_x)
<=> c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),V_x,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Osin(V_x),tc_RealDef_Oreal),c_Transcendental_Ocos(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_64,plain,
! [V_x] :
( lhs_atom65(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_sin__double_0_0,def_lhs_atom65]) ).
fof(def_lhs_atom66,axiom,
( lhs_atom66
<=> c_Transcendental_Otan(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) ),
inference(definition,[],]) ).
fof(to_be_clausified_65,plain,
( lhs_atom66
| $false ),
inference(fold_definition,[status(thm)],[cls_tan__60_0_0,def_lhs_atom66]) ).
fof(def_lhs_atom67,axiom,
( lhs_atom67
<=> c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_66,plain,
( lhs_atom67
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__two__neq__zero_0_0,def_lhs_atom67]) ).
fof(def_lhs_atom68,axiom,
( lhs_atom68
<=> c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_67,plain,
( lhs_atom68
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__less__4_0_0,def_lhs_atom68]) ).
fof(def_lhs_atom69,axiom,
! [V_x] :
( lhs_atom69(V_x)
<=> c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = V_x ),
inference(definition,[],]) ).
fof(to_be_clausified_68,plain,
! [V_x] :
( lhs_atom69(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sum__of__halves_0_0,def_lhs_atom69]) ).
fof(def_lhs_atom70,axiom,
( lhs_atom70
<=> c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_69,plain,
( lhs_atom70
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__half__neq__two_0_0,def_lhs_atom70]) ).
fof(def_lhs_atom71,axiom,
! [V_z,V_y] :
( lhs_atom71(V_z,V_y)
<=> c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(V_y,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),V_z,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_y,V_z,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_70,plain,
! [V_y,V_z] :
( lhs_atom71(V_z,V_y)
| $false ),
inference(fold_definition,[status(thm)],[cls_eq__divide__2__times__iff_0_0,def_lhs_atom71]) ).
fof(def_lhs_atom72,axiom,
( lhs_atom72
<=> c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_71,plain,
( lhs_atom72
| $false ),
inference(fold_definition,[status(thm)],[cls_cos__two__less__zero_0_0,def_lhs_atom72]) ).
fof(def_lhs_atom73,axiom,
( lhs_atom73
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_72,plain,
( lhs_atom73
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__two__gt__zero_0_0,def_lhs_atom73]) ).
fof(def_lhs_atom74,axiom,
( lhs_atom74
<=> c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_73,plain,
( lhs_atom74
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__half__neq__zero_0_0,def_lhs_atom74]) ).
fof(def_lhs_atom75,axiom,
( lhs_atom75
<=> c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_74,plain,
( lhs_atom75
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__half__less__two_0_0,def_lhs_atom75]) ).
fof(def_lhs_atom76,axiom,
! [V_b,V_a] :
( lhs_atom76(V_b,V_a)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_a,V_b,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_75,plain,
! [V_a,V_b] :
( lhs_atom76(V_b,V_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__average__minus__first_0_0,def_lhs_atom76]) ).
fof(def_lhs_atom77,axiom,
! [V_b,V_a] :
( lhs_atom77(V_b,V_a)
<=> c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),V_a,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(V_b,V_a,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_76,plain,
! [V_a,V_b] :
( lhs_atom77(V_b,V_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__average__minus__second_0_0,def_lhs_atom77]) ).
fof(def_lhs_atom78,axiom,
( lhs_atom78
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_77,plain,
( lhs_atom78
| $false ),
inference(fold_definition,[status(thm)],[cls_pi__half__gt__zero_0_0,def_lhs_atom78]) ).
fof(def_lhs_atom79,axiom,
( lhs_atom79
<=> c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_78,plain,
( lhs_atom79
| $false ),
inference(fold_definition,[status(thm)],[cls_minus__pi__half__less__zero_0_0,def_lhs_atom79]) ).
fof(def_lhs_atom80,axiom,
! [V_k] :
( lhs_atom80(V_k)
<=> c_Int_OBit1(V_k) != c_Int_OPls ),
inference(definition,[],]) ).
fof(to_be_clausified_79,plain,
! [V_k] :
( lhs_atom80(V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_rel__simps_I46_J_0_0,def_lhs_atom80]) ).
fof(def_lhs_atom81,axiom,
! [V_x] :
( lhs_atom81(V_x)
<=> c_HOL_Ominus__class_Ominus(V_x,c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(V_x,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_80,plain,
! [V_x] :
( lhs_atom81(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__minus__half__eq_0_0,def_lhs_atom81]) ).
fof(def_lhs_atom82,axiom,
! [V_l] :
( lhs_atom82(V_l)
<=> c_Int_OPls != c_Int_OBit1(V_l) ),
inference(definition,[],]) ).
fof(to_be_clausified_81,plain,
! [V_l] :
( lhs_atom82(V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_rel__simps_I39_J_0_0,def_lhs_atom82]) ).
fof(def_lhs_atom83,axiom,
! [V_x] :
( lhs_atom83(V_x)
<=> ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_82,plain,
! [V_x] :
( lhs_atom83(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__less__def_1_0,def_lhs_atom83]) ).
fof(def_lhs_atom84,axiom,
( lhs_atom84
<=> c_Int_OBit0(c_Int_OPls) = c_Int_OPls ),
inference(definition,[],]) ).
fof(to_be_clausified_83,plain,
( lhs_atom84
| $false ),
inference(fold_definition,[status(thm)],[cls_Bit0__Pls_0_0,def_lhs_atom84]) ).
fof(def_lhs_atom85,axiom,
! [V_l,V_k] :
( lhs_atom85(V_l,V_k)
<=> c_Int_OBit1(V_k) != c_Int_OBit0(V_l) ),
inference(definition,[],]) ).
fof(to_be_clausified_84,plain,
! [V_k,V_l] :
( lhs_atom85(V_l,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_rel__simps_I50_J_0_0,def_lhs_atom85]) ).
fof(def_lhs_atom86,axiom,
( lhs_atom86
<=> c_Int_OPls = c_Int_OBit0(c_Int_OPls) ),
inference(definition,[],]) ).
fof(to_be_clausified_85,plain,
( lhs_atom86
| $false ),
inference(fold_definition,[status(thm)],[cls_rel__simps_I38_J_1_0,def_lhs_atom86]) ).
fof(def_lhs_atom87,axiom,
( lhs_atom87
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_86,plain,
( lhs_atom87
| $false ),
inference(fold_definition,[status(thm)],[cls_e_0_0,def_lhs_atom87]) ).
fof(def_lhs_atom88,axiom,
( lhs_atom88
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_87,plain,
( lhs_atom88
| $false ),
inference(fold_definition,[status(thm)],[cls_e2_0_0,def_lhs_atom88]) ).
fof(def_lhs_atom89,axiom,
! [V_l,V_k] :
( lhs_atom89(V_l,V_k)
<=> c_Int_OBit0(V_k) != c_Int_OBit1(V_l) ),
inference(definition,[],]) ).
fof(to_be_clausified_88,plain,
! [V_k,V_l] :
( lhs_atom89(V_l,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_rel__simps_I49_J_0_0,def_lhs_atom89]) ).
fof(def_lhs_atom90,axiom,
( lhs_atom90
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_89,plain,
( lhs_atom90
| $false ),
inference(fold_definition,[status(thm)],[cls_CHAINED_0_0,def_lhs_atom90]) ).
fof(def_lhs_atom91,axiom,
( lhs_atom91
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_90,plain,
( lhs_atom91
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,def_lhs_atom91]) ).
fof(def_lhs_atom92,axiom,
( lhs_atom92
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_91,plain,
( lhs_atom92
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,def_lhs_atom92]) ).
fof(def_lhs_atom93,axiom,
( lhs_atom93
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_92,plain,
( lhs_atom93
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__comm__semiring__strict_0,def_lhs_atom93]) ).
fof(def_lhs_atom94,axiom,
( lhs_atom94
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_93,plain,
( lhs_atom94
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Opordered__cancel__semiring_0,def_lhs_atom94]) ).
fof(def_lhs_atom95,axiom,
( lhs_atom95
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_94,plain,
( lhs_atom95
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__semiring__strict_0,def_lhs_atom95]) ).
fof(def_lhs_atom96,axiom,
( lhs_atom96
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_95,plain,
( lhs_atom96
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__semigroup__add_0,def_lhs_atom96]) ).
fof(def_lhs_atom97,axiom,
( lhs_atom97
<=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_96,plain,
( lhs_atom97
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add__abs_0,def_lhs_atom97]) ).
fof(def_lhs_atom98,axiom,
( lhs_atom98
<=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_97,plain,
( lhs_atom98
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add__abs_0,def_lhs_atom98]) ).
fof(def_lhs_atom99,axiom,
( lhs_atom99
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_98,plain,
( lhs_atom99
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__comm__monoid__add_0,def_lhs_atom99]) ).
fof(def_lhs_atom100,axiom,
( lhs_atom100
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_99,plain,
( lhs_atom100
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom100]) ).
fof(def_lhs_atom101,axiom,
( lhs_atom101
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_100,plain,
( lhs_atom101
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom101]) ).
fof(def_lhs_atom102,axiom,
( lhs_atom102
<=> class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_101,plain,
( lhs_atom102
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__ring__strict_0,def_lhs_atom102]) ).
fof(def_lhs_atom103,axiom,
( lhs_atom103
<=> class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_102,plain,
( lhs_atom103
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Opordered__ab__group__add_0,def_lhs_atom103]) ).
fof(def_lhs_atom104,axiom,
( lhs_atom104
<=> class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_103,plain,
( lhs_atom104
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Olordered__ab__group__add_0,def_lhs_atom104]) ).
fof(def_lhs_atom105,axiom,
( lhs_atom105
<=> class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_104,plain,
( lhs_atom105
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oordered__ab__group__add_0,def_lhs_atom105]) ).
fof(def_lhs_atom106,axiom,
( lhs_atom106
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_105,plain,
( lhs_atom106
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom106]) ).
fof(def_lhs_atom107,axiom,
( lhs_atom107
<=> class_Ring__and__Field_Opordered__semiring(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_106,plain,
( lhs_atom107
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Opordered__semiring_0,def_lhs_atom107]) ).
fof(def_lhs_atom108,axiom,
( lhs_atom108
<=> class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_107,plain,
( lhs_atom108
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Opordered__ring__abs_0,def_lhs_atom108]) ).
fof(def_lhs_atom109,axiom,
( lhs_atom109
<=> class_Ring__and__Field_Oordered__semiring(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_108,plain,
( lhs_atom109
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__semiring_0,def_lhs_atom109]) ).
fof(def_lhs_atom110,axiom,
( lhs_atom110
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_109,plain,
( lhs_atom110
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom110]) ).
fof(def_lhs_atom111,axiom,
( lhs_atom111
<=> class_Ring__and__Field_Oordered__semidom(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_110,plain,
( lhs_atom111
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__semidom_0,def_lhs_atom111]) ).
fof(def_lhs_atom112,axiom,
( lhs_atom112
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_111,plain,
( lhs_atom112
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom112]) ).
fof(def_lhs_atom113,axiom,
( lhs_atom113
<=> class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_112,plain,
( lhs_atom113
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom113]) ).
fof(def_lhs_atom114,axiom,
( lhs_atom114
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_113,plain,
( lhs_atom114
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom114]) ).
fof(def_lhs_atom115,axiom,
( lhs_atom115
<=> class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_114,plain,
( lhs_atom115
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom115]) ).
fof(def_lhs_atom116,axiom,
( lhs_atom116
<=> class_Ring__and__Field_Opordered__ring(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_115,plain,
( lhs_atom116
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Opordered__ring_0,def_lhs_atom116]) ).
fof(def_lhs_atom117,axiom,
( lhs_atom117
<=> class_Ring__and__Field_Olordered__ring(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_116,plain,
( lhs_atom117
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Olordered__ring_0,def_lhs_atom117]) ).
fof(def_lhs_atom118,axiom,
( lhs_atom118
<=> class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_117,plain,
( lhs_atom118
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom118]) ).
fof(def_lhs_atom119,axiom,
( lhs_atom119
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_118,plain,
( lhs_atom119
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom119]) ).
fof(def_lhs_atom120,axiom,
( lhs_atom120
<=> class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_119,plain,
( lhs_atom120
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom120]) ).
fof(def_lhs_atom121,axiom,
( lhs_atom121
<=> class_Ring__and__Field_Oordered__idom(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_120,plain,
( lhs_atom121
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oordered__idom_0,def_lhs_atom121]) ).
fof(def_lhs_atom122,axiom,
( lhs_atom122
<=> class_Ring__and__Field_Omult__mono1(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_121,plain,
( lhs_atom122
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Omult__mono1_0,def_lhs_atom122]) ).
fof(def_lhs_atom123,axiom,
( lhs_atom123
<=> class_OrderedGroup_Oab__group__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_122,plain,
( lhs_atom123
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Oab__group__add_0,def_lhs_atom123]) ).
fof(def_lhs_atom124,axiom,
( lhs_atom124
<=> class_Ring__and__Field_Omult__zero(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_123,plain,
( lhs_atom124
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Omult__zero_0,def_lhs_atom124]) ).
fof(def_lhs_atom125,axiom,
( lhs_atom125
<=> class_Ring__and__Field_Omult__mono(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_124,plain,
( lhs_atom125
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Omult__mono_0,def_lhs_atom125]) ).
fof(def_lhs_atom126,axiom,
( lhs_atom126
<=> class_OrderedGroup_Omonoid__mult(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_125,plain,
( lhs_atom126
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Omonoid__mult_0,def_lhs_atom126]) ).
fof(def_lhs_atom127,axiom,
( lhs_atom127
<=> class_Ring__and__Field_Osemiring(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_126,plain,
( lhs_atom127
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Osemiring_0,def_lhs_atom127]) ).
fof(def_lhs_atom128,axiom,
( lhs_atom128
<=> class_OrderedGroup_Omonoid__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_127,plain,
( lhs_atom128
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Omonoid__add_0,def_lhs_atom128]) ).
fof(def_lhs_atom129,axiom,
( lhs_atom129
<=> class_OrderedGroup_Ogroup__add(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_128,plain,
( lhs_atom129
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__OrderedGroup_Ogroup__add_0,def_lhs_atom129]) ).
fof(def_lhs_atom130,axiom,
( lhs_atom130
<=> class_Ring__and__Field_Oabs__if(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_129,plain,
( lhs_atom130
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oabs__if_0,def_lhs_atom130]) ).
fof(def_lhs_atom131,axiom,
( lhs_atom131
<=> class_Ring__and__Field_Oring(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_130,plain,
( lhs_atom131
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oring_0,def_lhs_atom131]) ).
fof(def_lhs_atom132,axiom,
( lhs_atom132
<=> class_Ring__and__Field_Oidom(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_131,plain,
( lhs_atom132
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Ring__and__Field_Oidom_0,def_lhs_atom132]) ).
fof(def_lhs_atom133,axiom,
( lhs_atom133
<=> class_Orderings_Opreorder(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_132,plain,
( lhs_atom133
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Orderings_Opreorder_0,def_lhs_atom133]) ).
fof(def_lhs_atom134,axiom,
( lhs_atom134
<=> class_Orderings_Olinorder(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_133,plain,
( lhs_atom134
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Orderings_Olinorder_0,def_lhs_atom134]) ).
fof(def_lhs_atom135,axiom,
( lhs_atom135
<=> class_Orderings_Oorder(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_134,plain,
( lhs_atom135
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Orderings_Oorder_0,def_lhs_atom135]) ).
fof(def_lhs_atom136,axiom,
( lhs_atom136
<=> class_Int_Oring__char__0(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_135,plain,
( lhs_atom136
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Int_Oring__char__0_0,def_lhs_atom136]) ).
fof(def_lhs_atom137,axiom,
( lhs_atom137
<=> class_Int_Onumber__ring(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_136,plain,
( lhs_atom137
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Int_Onumber__ring_0,def_lhs_atom137]) ).
fof(def_lhs_atom138,axiom,
( lhs_atom138
<=> class_Int_Onumber(tc_Int_Oint) ),
inference(definition,[],]) ).
fof(to_be_clausified_137,plain,
( lhs_atom138
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Int__Oint__Int_Onumber_0,def_lhs_atom138]) ).
fof(def_lhs_atom139,axiom,
( lhs_atom139
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_138,plain,
( lhs_atom139
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,def_lhs_atom139]) ).
fof(def_lhs_atom140,axiom,
( lhs_atom140
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_139,plain,
( lhs_atom140
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,def_lhs_atom140]) ).
fof(def_lhs_atom141,axiom,
( lhs_atom141
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_140,plain,
( lhs_atom141
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict_0,def_lhs_atom141]) ).
fof(def_lhs_atom142,axiom,
( lhs_atom142
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_141,plain,
( lhs_atom142
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring_0,def_lhs_atom142]) ).
fof(def_lhs_atom143,axiom,
( lhs_atom143
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_142,plain,
( lhs_atom143
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict_0,def_lhs_atom143]) ).
fof(def_lhs_atom144,axiom,
( lhs_atom144
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_143,plain,
( lhs_atom144
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add_0,def_lhs_atom144]) ).
fof(def_lhs_atom145,axiom,
( lhs_atom145
<=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_144,plain,
( lhs_atom145
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs_0,def_lhs_atom145]) ).
fof(def_lhs_atom146,axiom,
( lhs_atom146
<=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_145,plain,
( lhs_atom146
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs_0,def_lhs_atom146]) ).
fof(def_lhs_atom147,axiom,
( lhs_atom147
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_146,plain,
( lhs_atom147
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add_0,def_lhs_atom147]) ).
fof(def_lhs_atom148,axiom,
( lhs_atom148
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_147,plain,
( lhs_atom148
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom148]) ).
fof(def_lhs_atom149,axiom,
( lhs_atom149
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_148,plain,
( lhs_atom149
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom149]) ).
fof(def_lhs_atom150,axiom,
( lhs_atom150
<=> class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_149,plain,
( lhs_atom150
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict_0,def_lhs_atom150]) ).
fof(def_lhs_atom151,axiom,
( lhs_atom151
<=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_150,plain,
( lhs_atom151
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra_0,def_lhs_atom151]) ).
fof(def_lhs_atom152,axiom,
( lhs_atom152
<=> class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_151,plain,
( lhs_atom152
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add_0,def_lhs_atom152]) ).
fof(def_lhs_atom153,axiom,
( lhs_atom153
<=> class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_152,plain,
( lhs_atom153
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add_0,def_lhs_atom153]) ).
fof(def_lhs_atom154,axiom,
( lhs_atom154
<=> class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_153,plain,
( lhs_atom154
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add_0,def_lhs_atom154]) ).
fof(def_lhs_atom155,axiom,
( lhs_atom155
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_154,plain,
( lhs_atom155
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom155]) ).
fof(def_lhs_atom156,axiom,
( lhs_atom156
<=> class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_155,plain,
( lhs_atom156
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring_0,def_lhs_atom156]) ).
fof(def_lhs_atom157,axiom,
( lhs_atom157
<=> class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_156,plain,
( lhs_atom157
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs_0,def_lhs_atom157]) ).
fof(def_lhs_atom158,axiom,
( lhs_atom158
<=> class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_157,plain,
( lhs_atom158
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom158]) ).
fof(def_lhs_atom159,axiom,
( lhs_atom159
<=> class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_158,plain,
( lhs_atom159
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring_0,def_lhs_atom159]) ).
fof(def_lhs_atom160,axiom,
( lhs_atom160
<=> class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_159,plain,
( lhs_atom160
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom160]) ).
fof(def_lhs_atom161,axiom,
( lhs_atom161
<=> class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_160,plain,
( lhs_atom161
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Odivision__by__zero_0,def_lhs_atom161]) ).
fof(def_lhs_atom162,axiom,
( lhs_atom162
<=> class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_161,plain,
( lhs_atom162
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom_0,def_lhs_atom162]) ).
fof(def_lhs_atom163,axiom,
( lhs_atom163
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_162,plain,
( lhs_atom163
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom163]) ).
fof(def_lhs_atom164,axiom,
( lhs_atom164
<=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_163,plain,
( lhs_atom164
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra_0,def_lhs_atom164]) ).
fof(def_lhs_atom165,axiom,
( lhs_atom165
<=> class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_164,plain,
( lhs_atom165
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom165]) ).
fof(def_lhs_atom166,axiom,
( lhs_atom166
<=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_165,plain,
( lhs_atom166
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector_0,def_lhs_atom166]) ).
fof(def_lhs_atom167,axiom,
( lhs_atom167
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_166,plain,
( lhs_atom167
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom167]) ).
fof(def_lhs_atom168,axiom,
( lhs_atom168
<=> class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_167,plain,
( lhs_atom168
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom168]) ).
fof(def_lhs_atom169,axiom,
( lhs_atom169
<=> class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_168,plain,
( lhs_atom169
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring_0,def_lhs_atom169]) ).
fof(def_lhs_atom170,axiom,
( lhs_atom170
<=> class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_169,plain,
( lhs_atom170
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__field_0,def_lhs_atom170]) ).
fof(def_lhs_atom171,axiom,
( lhs_atom171
<=> class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_170,plain,
( lhs_atom171
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring_0,def_lhs_atom171]) ).
fof(def_lhs_atom172,axiom,
( lhs_atom172
<=> class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_171,plain,
( lhs_atom172
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom172]) ).
fof(def_lhs_atom173,axiom,
( lhs_atom173
<=> class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_172,plain,
( lhs_atom173
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__field_0,def_lhs_atom173]) ).
fof(def_lhs_atom174,axiom,
( lhs_atom174
<=> class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_173,plain,
( lhs_atom174
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom174]) ).
fof(def_lhs_atom175,axiom,
( lhs_atom175
<=> class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_174,plain,
( lhs_atom175
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom175]) ).
fof(def_lhs_atom176,axiom,
( lhs_atom176
<=> class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_175,plain,
( lhs_atom176
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom_0,def_lhs_atom176]) ).
fof(def_lhs_atom177,axiom,
( lhs_atom177
<=> class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_176,plain,
( lhs_atom177
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1_0,def_lhs_atom177]) ).
fof(def_lhs_atom178,axiom,
( lhs_atom178
<=> class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_177,plain,
( lhs_atom178
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add_0,def_lhs_atom178]) ).
fof(def_lhs_atom179,axiom,
( lhs_atom179
<=> class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_178,plain,
( lhs_atom179
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero_0,def_lhs_atom179]) ).
fof(def_lhs_atom180,axiom,
( lhs_atom180
<=> class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_179,plain,
( lhs_atom180
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono_0,def_lhs_atom180]) ).
fof(def_lhs_atom181,axiom,
( lhs_atom181
<=> class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_180,plain,
( lhs_atom181
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult_0,def_lhs_atom181]) ).
fof(def_lhs_atom182,axiom,
( lhs_atom182
<=> class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_181,plain,
( lhs_atom182
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osemiring_0,def_lhs_atom182]) ).
fof(def_lhs_atom183,axiom,
( lhs_atom183
<=> class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_182,plain,
( lhs_atom183
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add_0,def_lhs_atom183]) ).
fof(def_lhs_atom184,axiom,
( lhs_atom184
<=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_183,plain,
( lhs_atom184
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add_0,def_lhs_atom184]) ).
fof(def_lhs_atom185,axiom,
( lhs_atom185
<=> class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_184,plain,
( lhs_atom185
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if_0,def_lhs_atom185]) ).
fof(def_lhs_atom186,axiom,
( lhs_atom186
<=> class_RealVector_Oreal__field(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_185,plain,
( lhs_atom186
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__field_0,def_lhs_atom186]) ).
fof(def_lhs_atom187,axiom,
( lhs_atom187
<=> class_Ring__and__Field_Ofield(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_186,plain,
( lhs_atom187
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ofield_0,def_lhs_atom187]) ).
fof(def_lhs_atom188,axiom,
( lhs_atom188
<=> class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_187,plain,
( lhs_atom188
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring_0,def_lhs_atom188]) ).
fof(def_lhs_atom189,axiom,
( lhs_atom189
<=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_188,plain,
( lhs_atom189
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,def_lhs_atom189]) ).
fof(def_lhs_atom190,axiom,
( lhs_atom190
<=> class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_189,plain,
( lhs_atom190
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Opreorder_0,def_lhs_atom190]) ).
fof(def_lhs_atom191,axiom,
( lhs_atom191
<=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_190,plain,
( lhs_atom191
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Olinorder_0,def_lhs_atom191]) ).
fof(def_lhs_atom192,axiom,
( lhs_atom192
<=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_191,plain,
( lhs_atom192
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Oorder_0,def_lhs_atom192]) ).
fof(def_lhs_atom193,axiom,
( lhs_atom193
<=> class_Int_Oring__char__0(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_192,plain,
( lhs_atom193
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Int_Oring__char__0_0,def_lhs_atom193]) ).
fof(def_lhs_atom194,axiom,
( lhs_atom194
<=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_193,plain,
( lhs_atom194
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber__ring_0,def_lhs_atom194]) ).
fof(def_lhs_atom195,axiom,
( lhs_atom195
<=> class_Int_Onumber(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_194,plain,
( lhs_atom195
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber_0,def_lhs_atom195]) ).
fof(def_lhs_atom196,axiom,
( lhs_atom196
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_195,plain,
( lhs_atom196
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom196]) ).
fof(def_lhs_atom197,axiom,
( lhs_atom197
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_196,plain,
( lhs_atom197
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom197]) ).
fof(def_lhs_atom198,axiom,
( lhs_atom198
<=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_197,plain,
( lhs_atom198
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra_0,def_lhs_atom198]) ).
fof(def_lhs_atom199,axiom,
( lhs_atom199
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_198,plain,
( lhs_atom199
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom199]) ).
fof(def_lhs_atom200,axiom,
( lhs_atom200
<=> class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_199,plain,
( lhs_atom200
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom200]) ).
fof(def_lhs_atom201,axiom,
( lhs_atom201
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_200,plain,
( lhs_atom201
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom201]) ).
fof(def_lhs_atom202,axiom,
( lhs_atom202
<=> class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_201,plain,
( lhs_atom202
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Odivision__by__zero_0,def_lhs_atom202]) ).
fof(def_lhs_atom203,axiom,
( lhs_atom203
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_202,plain,
( lhs_atom203
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom203]) ).
fof(def_lhs_atom204,axiom,
( lhs_atom204
<=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_203,plain,
( lhs_atom204
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra_0,def_lhs_atom204]) ).
fof(def_lhs_atom205,axiom,
( lhs_atom205
<=> class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_204,plain,
( lhs_atom205
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom205]) ).
fof(def_lhs_atom206,axiom,
( lhs_atom206
<=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_205,plain,
( lhs_atom206
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector_0,def_lhs_atom206]) ).
fof(def_lhs_atom207,axiom,
( lhs_atom207
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_206,plain,
( lhs_atom207
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom207]) ).
fof(def_lhs_atom208,axiom,
( lhs_atom208
<=> class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_207,plain,
( lhs_atom208
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom208]) ).
fof(def_lhs_atom209,axiom,
( lhs_atom209
<=> class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_208,plain,
( lhs_atom209
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom209]) ).
fof(def_lhs_atom210,axiom,
( lhs_atom210
<=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_209,plain,
( lhs_atom210
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field_0,def_lhs_atom210]) ).
fof(def_lhs_atom211,axiom,
( lhs_atom211
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_210,plain,
( lhs_atom211
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom211]) ).
fof(def_lhs_atom212,axiom,
( lhs_atom212
<=> class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_211,plain,
( lhs_atom212
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom212]) ).
fof(def_lhs_atom213,axiom,
( lhs_atom213
<=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_212,plain,
( lhs_atom213
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add_0,def_lhs_atom213]) ).
fof(def_lhs_atom214,axiom,
( lhs_atom214
<=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_213,plain,
( lhs_atom214
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero_0,def_lhs_atom214]) ).
fof(def_lhs_atom215,axiom,
( lhs_atom215
<=> class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_214,plain,
( lhs_atom215
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult_0,def_lhs_atom215]) ).
fof(def_lhs_atom216,axiom,
( lhs_atom216
<=> class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_215,plain,
( lhs_atom216
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring_0,def_lhs_atom216]) ).
fof(def_lhs_atom217,axiom,
( lhs_atom217
<=> class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_216,plain,
( lhs_atom217
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add_0,def_lhs_atom217]) ).
fof(def_lhs_atom218,axiom,
( lhs_atom218
<=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_217,plain,
( lhs_atom218
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add_0,def_lhs_atom218]) ).
fof(def_lhs_atom219,axiom,
( lhs_atom219
<=> class_RealVector_Oreal__field(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_218,plain,
( lhs_atom219
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__field_0,def_lhs_atom219]) ).
fof(def_lhs_atom220,axiom,
( lhs_atom220
<=> class_Ring__and__Field_Ofield(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_219,plain,
( lhs_atom220
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ofield_0,def_lhs_atom220]) ).
fof(def_lhs_atom221,axiom,
( lhs_atom221
<=> class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_220,plain,
( lhs_atom221
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring_0,def_lhs_atom221]) ).
fof(def_lhs_atom222,axiom,
( lhs_atom222
<=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_221,plain,
( lhs_atom222
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oidom_0,def_lhs_atom222]) ).
fof(def_lhs_atom223,axiom,
( lhs_atom223
<=> class_Int_Oring__char__0(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_222,plain,
( lhs_atom223
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Int_Oring__char__0_0,def_lhs_atom223]) ).
fof(def_lhs_atom224,axiom,
( lhs_atom224
<=> class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_223,plain,
( lhs_atom224
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Int_Onumber__ring_0,def_lhs_atom224]) ).
fof(def_lhs_atom225,axiom,
( lhs_atom225
<=> class_Int_Onumber(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_224,plain,
( lhs_atom225
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Int_Onumber_0,def_lhs_atom225]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X1,X2,X15,X16] :
( lhs_atom64(X1,X2,X15,X16)
| ~ $true ),
file('<stdin>',to_be_clausified_63) ).
fof(c_0_1,axiom,
! [X10,X11,X12] :
( lhs_atom41(X10,X11,X12)
| ~ $true ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_2,axiom,
! [X6,X4,X5] :
( lhs_atom18(X6,X4,X5)
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_3,axiom,
! [X4,X5,X3] :
( lhs_atom17(X4,X5,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_4,axiom,
! [X16,X17] :
( lhs_atom89(X16,X17)
| ~ $true ),
file('<stdin>',to_be_clausified_88) ).
fof(c_0_5,axiom,
! [X16,X17] :
( lhs_atom85(X16,X17)
| ~ $true ),
file('<stdin>',to_be_clausified_84) ).
fof(c_0_6,axiom,
! [X11,X12] :
( lhs_atom77(X11,X12)
| ~ $true ),
file('<stdin>',to_be_clausified_76) ).
fof(c_0_7,axiom,
! [X11,X12] :
( lhs_atom76(X11,X12)
| ~ $true ),
file('<stdin>',to_be_clausified_75) ).
fof(c_0_8,axiom,
! [X7,X1] :
( lhs_atom71(X7,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_70) ).
fof(c_0_9,axiom,
! [X1,X2] :
( lhs_atom59(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_10,axiom,
! [X14,X12] :
( lhs_atom58(X14,X12)
| ~ $true ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_11,axiom,
! [X1,X2] :
( lhs_atom44(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_12,axiom,
! [X13,X14] :
( lhs_atom42(X13,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_13,axiom,
! [X2,X9] :
( lhs_atom32(X2,X9)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_14,axiom,
! [X1,X2] :
( lhs_atom31(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_15,axiom,
! [X2,X8] :
( lhs_atom30(X2,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_16,axiom,
! [X1,X2] :
( lhs_atom29(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_17,axiom,
! [X1,X2] :
( lhs_atom25(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_18,axiom,
! [X7,X3] :
( lhs_atom24(X7,X3)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_19,axiom,
! [X1,X2] :
( lhs_atom22(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_20,axiom,
! [X1,X2] :
( lhs_atom21(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_21,axiom,
! [X1,X2] :
( lhs_atom16(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_22,axiom,
! [X1,X2] :
( lhs_atom14(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_23,axiom,
! [X1,X2] :
( lhs_atom10(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_24,axiom,
! [X1,X2] :
( lhs_atom9(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_25,axiom,
! [X1,X2] :
( lhs_atom2(X1,X2)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_26,axiom,
! [X2] :
( lhs_atom83(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_82) ).
fof(c_0_27,axiom,
! [X16] :
( lhs_atom82(X16)
| ~ $true ),
file('<stdin>',to_be_clausified_81) ).
fof(c_0_28,axiom,
! [X2] :
( lhs_atom81(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_80) ).
fof(c_0_29,axiom,
! [X17] :
( lhs_atom80(X17)
| ~ $true ),
file('<stdin>',to_be_clausified_79) ).
fof(c_0_30,axiom,
! [X2] :
( lhs_atom69(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_68) ).
fof(c_0_31,axiom,
! [X2] :
( lhs_atom65(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_64) ).
fof(c_0_32,axiom,
! [X2] :
( lhs_atom63(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_62) ).
fof(c_0_33,axiom,
! [X2] :
( lhs_atom62(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_61) ).
fof(c_0_34,axiom,
! [X2] :
( lhs_atom61(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_35,axiom,
! [X2] :
( lhs_atom60(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_36,axiom,
! [X2] :
( lhs_atom57(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_37,axiom,
! [X2] :
( lhs_atom56(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_38,axiom,
! [X2] :
( lhs_atom55(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_39,axiom,
! [X2] :
( lhs_atom43(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_40,axiom,
! [X2] :
( lhs_atom40(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_41,axiom,
! [X2] :
( lhs_atom39(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_42,axiom,
! [X2] :
( lhs_atom38(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_43,axiom,
! [X2] :
( lhs_atom27(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_44,axiom,
! [X2] :
( lhs_atom26(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_45,axiom,
! [X2] :
( lhs_atom23(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_46,axiom,
! [X2] :
( lhs_atom15(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_47,axiom,
! [X2] :
( lhs_atom13(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_48,axiom,
! [X2] :
( lhs_atom11(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_49,axiom,
! [X3] :
( lhs_atom7(X3)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_50,axiom,
! [X2] :
( lhs_atom3(X2)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_51,axiom,
( lhs_atom225
| ~ $true ),
file('<stdin>',to_be_clausified_224) ).
fof(c_0_52,axiom,
( lhs_atom224
| ~ $true ),
file('<stdin>',to_be_clausified_223) ).
fof(c_0_53,axiom,
( lhs_atom223
| ~ $true ),
file('<stdin>',to_be_clausified_222) ).
fof(c_0_54,axiom,
( lhs_atom222
| ~ $true ),
file('<stdin>',to_be_clausified_221) ).
fof(c_0_55,axiom,
( lhs_atom221
| ~ $true ),
file('<stdin>',to_be_clausified_220) ).
fof(c_0_56,axiom,
( lhs_atom220
| ~ $true ),
file('<stdin>',to_be_clausified_219) ).
fof(c_0_57,axiom,
( lhs_atom219
| ~ $true ),
file('<stdin>',to_be_clausified_218) ).
fof(c_0_58,axiom,
( lhs_atom218
| ~ $true ),
file('<stdin>',to_be_clausified_217) ).
fof(c_0_59,axiom,
( lhs_atom217
| ~ $true ),
file('<stdin>',to_be_clausified_216) ).
fof(c_0_60,axiom,
( lhs_atom216
| ~ $true ),
file('<stdin>',to_be_clausified_215) ).
fof(c_0_61,axiom,
( lhs_atom215
| ~ $true ),
file('<stdin>',to_be_clausified_214) ).
fof(c_0_62,axiom,
( lhs_atom214
| ~ $true ),
file('<stdin>',to_be_clausified_213) ).
fof(c_0_63,axiom,
( lhs_atom213
| ~ $true ),
file('<stdin>',to_be_clausified_212) ).
fof(c_0_64,axiom,
( lhs_atom212
| ~ $true ),
file('<stdin>',to_be_clausified_211) ).
fof(c_0_65,axiom,
( lhs_atom211
| ~ $true ),
file('<stdin>',to_be_clausified_210) ).
fof(c_0_66,axiom,
( lhs_atom210
| ~ $true ),
file('<stdin>',to_be_clausified_209) ).
fof(c_0_67,axiom,
( lhs_atom209
| ~ $true ),
file('<stdin>',to_be_clausified_208) ).
fof(c_0_68,axiom,
( lhs_atom208
| ~ $true ),
file('<stdin>',to_be_clausified_207) ).
fof(c_0_69,axiom,
( lhs_atom207
| ~ $true ),
file('<stdin>',to_be_clausified_206) ).
fof(c_0_70,axiom,
( lhs_atom206
| ~ $true ),
file('<stdin>',to_be_clausified_205) ).
fof(c_0_71,axiom,
( lhs_atom205
| ~ $true ),
file('<stdin>',to_be_clausified_204) ).
fof(c_0_72,axiom,
( lhs_atom204
| ~ $true ),
file('<stdin>',to_be_clausified_203) ).
fof(c_0_73,axiom,
( lhs_atom203
| ~ $true ),
file('<stdin>',to_be_clausified_202) ).
fof(c_0_74,axiom,
( lhs_atom202
| ~ $true ),
file('<stdin>',to_be_clausified_201) ).
fof(c_0_75,axiom,
( lhs_atom201
| ~ $true ),
file('<stdin>',to_be_clausified_200) ).
fof(c_0_76,axiom,
( lhs_atom200
| ~ $true ),
file('<stdin>',to_be_clausified_199) ).
fof(c_0_77,axiom,
( lhs_atom199
| ~ $true ),
file('<stdin>',to_be_clausified_198) ).
fof(c_0_78,axiom,
( lhs_atom198
| ~ $true ),
file('<stdin>',to_be_clausified_197) ).
fof(c_0_79,axiom,
( lhs_atom197
| ~ $true ),
file('<stdin>',to_be_clausified_196) ).
fof(c_0_80,axiom,
( lhs_atom196
| ~ $true ),
file('<stdin>',to_be_clausified_195) ).
fof(c_0_81,axiom,
( lhs_atom195
| ~ $true ),
file('<stdin>',to_be_clausified_194) ).
fof(c_0_82,axiom,
( lhs_atom194
| ~ $true ),
file('<stdin>',to_be_clausified_193) ).
fof(c_0_83,axiom,
( lhs_atom193
| ~ $true ),
file('<stdin>',to_be_clausified_192) ).
fof(c_0_84,axiom,
( lhs_atom192
| ~ $true ),
file('<stdin>',to_be_clausified_191) ).
fof(c_0_85,axiom,
( lhs_atom191
| ~ $true ),
file('<stdin>',to_be_clausified_190) ).
fof(c_0_86,axiom,
( lhs_atom190
| ~ $true ),
file('<stdin>',to_be_clausified_189) ).
fof(c_0_87,axiom,
( lhs_atom189
| ~ $true ),
file('<stdin>',to_be_clausified_188) ).
fof(c_0_88,axiom,
( lhs_atom188
| ~ $true ),
file('<stdin>',to_be_clausified_187) ).
fof(c_0_89,axiom,
( lhs_atom187
| ~ $true ),
file('<stdin>',to_be_clausified_186) ).
fof(c_0_90,axiom,
( lhs_atom186
| ~ $true ),
file('<stdin>',to_be_clausified_185) ).
fof(c_0_91,axiom,
( lhs_atom185
| ~ $true ),
file('<stdin>',to_be_clausified_184) ).
fof(c_0_92,axiom,
( lhs_atom184
| ~ $true ),
file('<stdin>',to_be_clausified_183) ).
fof(c_0_93,axiom,
( lhs_atom183
| ~ $true ),
file('<stdin>',to_be_clausified_182) ).
fof(c_0_94,axiom,
( lhs_atom182
| ~ $true ),
file('<stdin>',to_be_clausified_181) ).
fof(c_0_95,axiom,
( lhs_atom181
| ~ $true ),
file('<stdin>',to_be_clausified_180) ).
fof(c_0_96,axiom,
( lhs_atom180
| ~ $true ),
file('<stdin>',to_be_clausified_179) ).
fof(c_0_97,axiom,
( lhs_atom179
| ~ $true ),
file('<stdin>',to_be_clausified_178) ).
fof(c_0_98,axiom,
( lhs_atom178
| ~ $true ),
file('<stdin>',to_be_clausified_177) ).
fof(c_0_99,axiom,
( lhs_atom177
| ~ $true ),
file('<stdin>',to_be_clausified_176) ).
fof(c_0_100,axiom,
( lhs_atom176
| ~ $true ),
file('<stdin>',to_be_clausified_175) ).
fof(c_0_101,axiom,
( lhs_atom175
| ~ $true ),
file('<stdin>',to_be_clausified_174) ).
fof(c_0_102,axiom,
( lhs_atom174
| ~ $true ),
file('<stdin>',to_be_clausified_173) ).
fof(c_0_103,axiom,
( lhs_atom173
| ~ $true ),
file('<stdin>',to_be_clausified_172) ).
fof(c_0_104,axiom,
( lhs_atom172
| ~ $true ),
file('<stdin>',to_be_clausified_171) ).
fof(c_0_105,axiom,
( lhs_atom171
| ~ $true ),
file('<stdin>',to_be_clausified_170) ).
fof(c_0_106,axiom,
( lhs_atom170
| ~ $true ),
file('<stdin>',to_be_clausified_169) ).
fof(c_0_107,axiom,
( lhs_atom169
| ~ $true ),
file('<stdin>',to_be_clausified_168) ).
fof(c_0_108,axiom,
( lhs_atom168
| ~ $true ),
file('<stdin>',to_be_clausified_167) ).
fof(c_0_109,axiom,
( lhs_atom167
| ~ $true ),
file('<stdin>',to_be_clausified_166) ).
fof(c_0_110,axiom,
( lhs_atom166
| ~ $true ),
file('<stdin>',to_be_clausified_165) ).
fof(c_0_111,axiom,
( lhs_atom165
| ~ $true ),
file('<stdin>',to_be_clausified_164) ).
fof(c_0_112,axiom,
( lhs_atom164
| ~ $true ),
file('<stdin>',to_be_clausified_163) ).
fof(c_0_113,axiom,
( lhs_atom163
| ~ $true ),
file('<stdin>',to_be_clausified_162) ).
fof(c_0_114,axiom,
( lhs_atom162
| ~ $true ),
file('<stdin>',to_be_clausified_161) ).
fof(c_0_115,axiom,
( lhs_atom161
| ~ $true ),
file('<stdin>',to_be_clausified_160) ).
fof(c_0_116,axiom,
( lhs_atom160
| ~ $true ),
file('<stdin>',to_be_clausified_159) ).
fof(c_0_117,axiom,
( lhs_atom159
| ~ $true ),
file('<stdin>',to_be_clausified_158) ).
fof(c_0_118,axiom,
( lhs_atom158
| ~ $true ),
file('<stdin>',to_be_clausified_157) ).
fof(c_0_119,axiom,
( lhs_atom157
| ~ $true ),
file('<stdin>',to_be_clausified_156) ).
fof(c_0_120,axiom,
( lhs_atom156
| ~ $true ),
file('<stdin>',to_be_clausified_155) ).
fof(c_0_121,axiom,
( lhs_atom155
| ~ $true ),
file('<stdin>',to_be_clausified_154) ).
fof(c_0_122,axiom,
( lhs_atom154
| ~ $true ),
file('<stdin>',to_be_clausified_153) ).
fof(c_0_123,axiom,
( lhs_atom153
| ~ $true ),
file('<stdin>',to_be_clausified_152) ).
fof(c_0_124,axiom,
( lhs_atom152
| ~ $true ),
file('<stdin>',to_be_clausified_151) ).
fof(c_0_125,axiom,
( lhs_atom151
| ~ $true ),
file('<stdin>',to_be_clausified_150) ).
fof(c_0_126,axiom,
( lhs_atom150
| ~ $true ),
file('<stdin>',to_be_clausified_149) ).
fof(c_0_127,axiom,
( lhs_atom149
| ~ $true ),
file('<stdin>',to_be_clausified_148) ).
fof(c_0_128,axiom,
( lhs_atom148
| ~ $true ),
file('<stdin>',to_be_clausified_147) ).
fof(c_0_129,axiom,
( lhs_atom147
| ~ $true ),
file('<stdin>',to_be_clausified_146) ).
fof(c_0_130,axiom,
( lhs_atom146
| ~ $true ),
file('<stdin>',to_be_clausified_145) ).
fof(c_0_131,axiom,
( lhs_atom145
| ~ $true ),
file('<stdin>',to_be_clausified_144) ).
fof(c_0_132,axiom,
( lhs_atom144
| ~ $true ),
file('<stdin>',to_be_clausified_143) ).
fof(c_0_133,axiom,
( lhs_atom143
| ~ $true ),
file('<stdin>',to_be_clausified_142) ).
fof(c_0_134,axiom,
( lhs_atom142
| ~ $true ),
file('<stdin>',to_be_clausified_141) ).
fof(c_0_135,axiom,
( lhs_atom141
| ~ $true ),
file('<stdin>',to_be_clausified_140) ).
fof(c_0_136,axiom,
( lhs_atom140
| ~ $true ),
file('<stdin>',to_be_clausified_139) ).
fof(c_0_137,axiom,
( lhs_atom139
| ~ $true ),
file('<stdin>',to_be_clausified_138) ).
fof(c_0_138,axiom,
( lhs_atom138
| ~ $true ),
file('<stdin>',to_be_clausified_137) ).
fof(c_0_139,axiom,
( lhs_atom137
| ~ $true ),
file('<stdin>',to_be_clausified_136) ).
fof(c_0_140,axiom,
( lhs_atom136
| ~ $true ),
file('<stdin>',to_be_clausified_135) ).
fof(c_0_141,axiom,
( lhs_atom135
| ~ $true ),
file('<stdin>',to_be_clausified_134) ).
fof(c_0_142,axiom,
( lhs_atom134
| ~ $true ),
file('<stdin>',to_be_clausified_133) ).
fof(c_0_143,axiom,
( lhs_atom133
| ~ $true ),
file('<stdin>',to_be_clausified_132) ).
fof(c_0_144,axiom,
( lhs_atom132
| ~ $true ),
file('<stdin>',to_be_clausified_131) ).
fof(c_0_145,axiom,
( lhs_atom131
| ~ $true ),
file('<stdin>',to_be_clausified_130) ).
fof(c_0_146,axiom,
( lhs_atom130
| ~ $true ),
file('<stdin>',to_be_clausified_129) ).
fof(c_0_147,axiom,
( lhs_atom129
| ~ $true ),
file('<stdin>',to_be_clausified_128) ).
fof(c_0_148,axiom,
( lhs_atom128
| ~ $true ),
file('<stdin>',to_be_clausified_127) ).
fof(c_0_149,axiom,
( lhs_atom127
| ~ $true ),
file('<stdin>',to_be_clausified_126) ).
fof(c_0_150,axiom,
( lhs_atom126
| ~ $true ),
file('<stdin>',to_be_clausified_125) ).
fof(c_0_151,axiom,
( lhs_atom125
| ~ $true ),
file('<stdin>',to_be_clausified_124) ).
fof(c_0_152,axiom,
( lhs_atom124
| ~ $true ),
file('<stdin>',to_be_clausified_123) ).
fof(c_0_153,axiom,
( lhs_atom123
| ~ $true ),
file('<stdin>',to_be_clausified_122) ).
fof(c_0_154,axiom,
( lhs_atom122
| ~ $true ),
file('<stdin>',to_be_clausified_121) ).
fof(c_0_155,axiom,
( lhs_atom121
| ~ $true ),
file('<stdin>',to_be_clausified_120) ).
fof(c_0_156,axiom,
( lhs_atom120
| ~ $true ),
file('<stdin>',to_be_clausified_119) ).
fof(c_0_157,axiom,
( lhs_atom119
| ~ $true ),
file('<stdin>',to_be_clausified_118) ).
fof(c_0_158,axiom,
( lhs_atom118
| ~ $true ),
file('<stdin>',to_be_clausified_117) ).
fof(c_0_159,axiom,
( lhs_atom117
| ~ $true ),
file('<stdin>',to_be_clausified_116) ).
fof(c_0_160,axiom,
( lhs_atom116
| ~ $true ),
file('<stdin>',to_be_clausified_115) ).
fof(c_0_161,axiom,
( lhs_atom115
| ~ $true ),
file('<stdin>',to_be_clausified_114) ).
fof(c_0_162,axiom,
( lhs_atom114
| ~ $true ),
file('<stdin>',to_be_clausified_113) ).
fof(c_0_163,axiom,
( lhs_atom113
| ~ $true ),
file('<stdin>',to_be_clausified_112) ).
fof(c_0_164,axiom,
( lhs_atom112
| ~ $true ),
file('<stdin>',to_be_clausified_111) ).
fof(c_0_165,axiom,
( lhs_atom111
| ~ $true ),
file('<stdin>',to_be_clausified_110) ).
fof(c_0_166,axiom,
( lhs_atom110
| ~ $true ),
file('<stdin>',to_be_clausified_109) ).
fof(c_0_167,axiom,
( lhs_atom109
| ~ $true ),
file('<stdin>',to_be_clausified_108) ).
fof(c_0_168,axiom,
( lhs_atom108
| ~ $true ),
file('<stdin>',to_be_clausified_107) ).
fof(c_0_169,axiom,
( lhs_atom107
| ~ $true ),
file('<stdin>',to_be_clausified_106) ).
fof(c_0_170,axiom,
( lhs_atom106
| ~ $true ),
file('<stdin>',to_be_clausified_105) ).
fof(c_0_171,axiom,
( lhs_atom105
| ~ $true ),
file('<stdin>',to_be_clausified_104) ).
fof(c_0_172,axiom,
( lhs_atom104
| ~ $true ),
file('<stdin>',to_be_clausified_103) ).
fof(c_0_173,axiom,
( lhs_atom103
| ~ $true ),
file('<stdin>',to_be_clausified_102) ).
fof(c_0_174,axiom,
( lhs_atom102
| ~ $true ),
file('<stdin>',to_be_clausified_101) ).
fof(c_0_175,axiom,
( lhs_atom101
| ~ $true ),
file('<stdin>',to_be_clausified_100) ).
fof(c_0_176,axiom,
( lhs_atom100
| ~ $true ),
file('<stdin>',to_be_clausified_99) ).
fof(c_0_177,axiom,
( lhs_atom99
| ~ $true ),
file('<stdin>',to_be_clausified_98) ).
fof(c_0_178,axiom,
( lhs_atom98
| ~ $true ),
file('<stdin>',to_be_clausified_97) ).
fof(c_0_179,axiom,
( lhs_atom97
| ~ $true ),
file('<stdin>',to_be_clausified_96) ).
fof(c_0_180,axiom,
( lhs_atom96
| ~ $true ),
file('<stdin>',to_be_clausified_95) ).
fof(c_0_181,axiom,
( lhs_atom95
| ~ $true ),
file('<stdin>',to_be_clausified_94) ).
fof(c_0_182,axiom,
( lhs_atom94
| ~ $true ),
file('<stdin>',to_be_clausified_93) ).
fof(c_0_183,axiom,
( lhs_atom93
| ~ $true ),
file('<stdin>',to_be_clausified_92) ).
fof(c_0_184,axiom,
( lhs_atom92
| ~ $true ),
file('<stdin>',to_be_clausified_91) ).
fof(c_0_185,axiom,
( lhs_atom91
| ~ $true ),
file('<stdin>',to_be_clausified_90) ).
fof(c_0_186,axiom,
( lhs_atom90
| ~ $true ),
file('<stdin>',to_be_clausified_89) ).
fof(c_0_187,axiom,
( lhs_atom88
| ~ $true ),
file('<stdin>',to_be_clausified_87) ).
fof(c_0_188,axiom,
( lhs_atom87
| ~ $true ),
file('<stdin>',to_be_clausified_86) ).
fof(c_0_189,axiom,
( lhs_atom86
| ~ $true ),
file('<stdin>',to_be_clausified_85) ).
fof(c_0_190,axiom,
( lhs_atom84
| ~ $true ),
file('<stdin>',to_be_clausified_83) ).
fof(c_0_191,axiom,
( lhs_atom79
| ~ $true ),
file('<stdin>',to_be_clausified_78) ).
fof(c_0_192,axiom,
( lhs_atom78
| ~ $true ),
file('<stdin>',to_be_clausified_77) ).
fof(c_0_193,axiom,
( lhs_atom75
| ~ $true ),
file('<stdin>',to_be_clausified_74) ).
fof(c_0_194,axiom,
( lhs_atom74
| ~ $true ),
file('<stdin>',to_be_clausified_73) ).
fof(c_0_195,axiom,
( lhs_atom73
| ~ $true ),
file('<stdin>',to_be_clausified_72) ).
fof(c_0_196,axiom,
( lhs_atom72
| ~ $true ),
file('<stdin>',to_be_clausified_71) ).
fof(c_0_197,axiom,
( lhs_atom70
| ~ $true ),
file('<stdin>',to_be_clausified_69) ).
fof(c_0_198,axiom,
( lhs_atom68
| ~ $true ),
file('<stdin>',to_be_clausified_67) ).
fof(c_0_199,axiom,
( lhs_atom67
| ~ $true ),
file('<stdin>',to_be_clausified_66) ).
fof(c_0_200,axiom,
( lhs_atom66
| ~ $true ),
file('<stdin>',to_be_clausified_65) ).
fof(c_0_201,axiom,
( lhs_atom54
| ~ $true ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_202,axiom,
( lhs_atom53
| ~ $true ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_203,axiom,
( lhs_atom52
| ~ $true ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_204,axiom,
( lhs_atom51
| ~ $true ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_205,axiom,
( lhs_atom50
| ~ $true ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_206,axiom,
( lhs_atom49
| ~ $true ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_207,axiom,
( lhs_atom48
| ~ $true ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_208,axiom,
( lhs_atom47
| ~ $true ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_209,axiom,
( lhs_atom46
| ~ $true ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_210,axiom,
( lhs_atom45
| ~ $true ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_211,axiom,
( lhs_atom37
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_212,axiom,
( lhs_atom36
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_213,axiom,
( lhs_atom35
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_214,axiom,
( lhs_atom34
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_215,axiom,
( lhs_atom33
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_216,axiom,
( lhs_atom28
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_217,axiom,
( lhs_atom20
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_218,axiom,
( lhs_atom19
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_219,axiom,
( lhs_atom12
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_220,axiom,
( lhs_atom8
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_221,axiom,
( lhs_atom6
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_222,axiom,
( lhs_atom5
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_223,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_224,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_225,plain,
! [X1,X2,X15,X16] : lhs_atom64(X1,X2,X15,X16),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_226,plain,
! [X10,X11,X12] : lhs_atom41(X10,X11,X12),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_227,plain,
! [X6,X4,X5] : lhs_atom18(X6,X4,X5),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_228,plain,
! [X4,X5,X3] : lhs_atom17(X4,X5,X3),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_229,plain,
! [X16,X17] : lhs_atom89(X16,X17),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_230,plain,
! [X16,X17] : lhs_atom85(X16,X17),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_231,plain,
! [X11,X12] : lhs_atom77(X11,X12),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_232,plain,
! [X11,X12] : lhs_atom76(X11,X12),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_233,plain,
! [X7,X1] : lhs_atom71(X7,X1),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_234,plain,
! [X1,X2] : lhs_atom59(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_235,plain,
! [X14,X12] : lhs_atom58(X14,X12),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_236,plain,
! [X1,X2] : lhs_atom44(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_237,plain,
! [X13,X14] : lhs_atom42(X13,X14),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_238,plain,
! [X2,X9] : lhs_atom32(X2,X9),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_239,plain,
! [X1,X2] : lhs_atom31(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_240,plain,
! [X2,X8] : lhs_atom30(X2,X8),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_241,plain,
! [X1,X2] : lhs_atom29(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_242,plain,
! [X1,X2] : lhs_atom25(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_243,plain,
! [X7,X3] : lhs_atom24(X7,X3),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_244,plain,
! [X1,X2] : lhs_atom22(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_245,plain,
! [X1,X2] : lhs_atom21(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_246,plain,
! [X1,X2] : lhs_atom16(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_247,plain,
! [X1,X2] : lhs_atom14(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_248,plain,
! [X1,X2] : lhs_atom10(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_249,plain,
! [X1,X2] : lhs_atom9(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_250,plain,
! [X1,X2] : lhs_atom2(X1,X2),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_251,plain,
! [X2] : lhs_atom83(X2),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_252,plain,
! [X16] : lhs_atom82(X16),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_253,plain,
! [X2] : lhs_atom81(X2),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_254,plain,
! [X17] : lhs_atom80(X17),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_255,plain,
! [X2] : lhs_atom69(X2),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_256,plain,
! [X2] : lhs_atom65(X2),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_257,plain,
! [X2] : lhs_atom63(X2),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_258,plain,
! [X2] : lhs_atom62(X2),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_259,plain,
! [X2] : lhs_atom61(X2),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_260,plain,
! [X2] : lhs_atom60(X2),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_261,plain,
! [X2] : lhs_atom57(X2),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_262,plain,
! [X2] : lhs_atom56(X2),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_263,plain,
! [X2] : lhs_atom55(X2),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_264,plain,
! [X2] : lhs_atom43(X2),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_265,plain,
! [X2] : lhs_atom40(X2),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_266,plain,
! [X2] : lhs_atom39(X2),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_267,plain,
! [X2] : lhs_atom38(X2),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_268,plain,
! [X2] : lhs_atom27(X2),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_269,plain,
! [X2] : lhs_atom26(X2),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_270,plain,
! [X2] : lhs_atom23(X2),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_271,plain,
! [X2] : lhs_atom15(X2),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_272,plain,
! [X2] : lhs_atom13(X2),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_273,plain,
! [X2] : lhs_atom11(X2),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_274,plain,
! [X3] : lhs_atom7(X3),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_275,plain,
! [X2] : lhs_atom3(X2),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_276,plain,
lhs_atom225,
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_277,plain,
lhs_atom224,
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_278,plain,
lhs_atom223,
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_279,plain,
lhs_atom222,
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_280,plain,
lhs_atom221,
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_281,plain,
lhs_atom220,
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_282,plain,
lhs_atom219,
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_283,plain,
lhs_atom218,
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_284,plain,
lhs_atom217,
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_285,plain,
lhs_atom216,
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_286,plain,
lhs_atom215,
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_287,plain,
lhs_atom214,
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_288,plain,
lhs_atom213,
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_289,plain,
lhs_atom212,
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_290,plain,
lhs_atom211,
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_291,plain,
lhs_atom210,
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_292,plain,
lhs_atom209,
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_293,plain,
lhs_atom208,
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_294,plain,
lhs_atom207,
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_295,plain,
lhs_atom206,
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_296,plain,
lhs_atom205,
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_297,plain,
lhs_atom204,
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_298,plain,
lhs_atom203,
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_299,plain,
lhs_atom202,
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_300,plain,
lhs_atom201,
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_301,plain,
lhs_atom200,
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_302,plain,
lhs_atom199,
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_303,plain,
lhs_atom198,
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_304,plain,
lhs_atom197,
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_305,plain,
lhs_atom196,
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_306,plain,
lhs_atom195,
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_307,plain,
lhs_atom194,
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_308,plain,
lhs_atom193,
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_309,plain,
lhs_atom192,
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_310,plain,
lhs_atom191,
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_311,plain,
lhs_atom190,
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_312,plain,
lhs_atom189,
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_313,plain,
lhs_atom188,
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_314,plain,
lhs_atom187,
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_315,plain,
lhs_atom186,
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_316,plain,
lhs_atom185,
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_317,plain,
lhs_atom184,
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_318,plain,
lhs_atom183,
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_319,plain,
lhs_atom182,
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_320,plain,
lhs_atom181,
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_321,plain,
lhs_atom180,
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_322,plain,
lhs_atom179,
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_323,plain,
lhs_atom178,
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_324,plain,
lhs_atom177,
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_325,plain,
lhs_atom176,
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_326,plain,
lhs_atom175,
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_327,plain,
lhs_atom174,
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_328,plain,
lhs_atom173,
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_329,plain,
lhs_atom172,
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_330,plain,
lhs_atom171,
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_331,plain,
lhs_atom170,
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_332,plain,
lhs_atom169,
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_333,plain,
lhs_atom168,
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_334,plain,
lhs_atom167,
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_335,plain,
lhs_atom166,
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_336,plain,
lhs_atom165,
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_337,plain,
lhs_atom164,
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_338,plain,
lhs_atom163,
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_339,plain,
lhs_atom162,
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_340,plain,
lhs_atom161,
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_341,plain,
lhs_atom160,
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_342,plain,
lhs_atom159,
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_343,plain,
lhs_atom158,
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_344,plain,
lhs_atom157,
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_345,plain,
lhs_atom156,
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_346,plain,
lhs_atom155,
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_347,plain,
lhs_atom154,
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_348,plain,
lhs_atom153,
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_349,plain,
lhs_atom152,
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_350,plain,
lhs_atom151,
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_351,plain,
lhs_atom150,
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_352,plain,
lhs_atom149,
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_353,plain,
lhs_atom148,
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_354,plain,
lhs_atom147,
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_355,plain,
lhs_atom146,
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_356,plain,
lhs_atom145,
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_357,plain,
lhs_atom144,
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_358,plain,
lhs_atom143,
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_359,plain,
lhs_atom142,
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_360,plain,
lhs_atom141,
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_361,plain,
lhs_atom140,
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_362,plain,
lhs_atom139,
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_363,plain,
lhs_atom138,
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_364,plain,
lhs_atom137,
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_365,plain,
lhs_atom136,
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_366,plain,
lhs_atom135,
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_367,plain,
lhs_atom134,
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_368,plain,
lhs_atom133,
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_369,plain,
lhs_atom132,
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_370,plain,
lhs_atom131,
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_371,plain,
lhs_atom130,
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_372,plain,
lhs_atom129,
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_373,plain,
lhs_atom128,
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_374,plain,
lhs_atom127,
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_375,plain,
lhs_atom126,
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_376,plain,
lhs_atom125,
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_377,plain,
lhs_atom124,
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_378,plain,
lhs_atom123,
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_379,plain,
lhs_atom122,
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_380,plain,
lhs_atom121,
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_381,plain,
lhs_atom120,
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_382,plain,
lhs_atom119,
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_383,plain,
lhs_atom118,
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_384,plain,
lhs_atom117,
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_385,plain,
lhs_atom116,
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_386,plain,
lhs_atom115,
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_387,plain,
lhs_atom114,
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_388,plain,
lhs_atom113,
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_389,plain,
lhs_atom112,
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_390,plain,
lhs_atom111,
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_391,plain,
lhs_atom110,
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_392,plain,
lhs_atom109,
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_393,plain,
lhs_atom108,
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_394,plain,
lhs_atom107,
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_395,plain,
lhs_atom106,
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_396,plain,
lhs_atom105,
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_397,plain,
lhs_atom104,
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_398,plain,
lhs_atom103,
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_399,plain,
lhs_atom102,
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_400,plain,
lhs_atom101,
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_401,plain,
lhs_atom100,
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_402,plain,
lhs_atom99,
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_403,plain,
lhs_atom98,
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_404,plain,
lhs_atom97,
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_405,plain,
lhs_atom96,
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_406,plain,
lhs_atom95,
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_407,plain,
lhs_atom94,
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_408,plain,
lhs_atom93,
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_409,plain,
lhs_atom92,
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_410,plain,
lhs_atom91,
inference(fof_simplification,[status(thm)],[c_0_185]) ).
fof(c_0_411,plain,
lhs_atom90,
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_412,plain,
lhs_atom88,
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_413,plain,
lhs_atom87,
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_414,plain,
lhs_atom86,
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_415,plain,
lhs_atom84,
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_416,plain,
lhs_atom79,
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_417,plain,
lhs_atom78,
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_418,plain,
lhs_atom75,
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_419,plain,
lhs_atom74,
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_420,plain,
lhs_atom73,
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_421,plain,
lhs_atom72,
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_422,plain,
lhs_atom70,
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_423,plain,
lhs_atom68,
inference(fof_simplification,[status(thm)],[c_0_198]) ).
fof(c_0_424,plain,
lhs_atom67,
inference(fof_simplification,[status(thm)],[c_0_199]) ).
fof(c_0_425,plain,
lhs_atom66,
inference(fof_simplification,[status(thm)],[c_0_200]) ).
fof(c_0_426,plain,
lhs_atom54,
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_427,plain,
lhs_atom53,
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_428,plain,
lhs_atom52,
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_429,plain,
lhs_atom51,
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_430,plain,
lhs_atom50,
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_431,plain,
lhs_atom49,
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_432,plain,
lhs_atom48,
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_433,plain,
lhs_atom47,
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_434,plain,
lhs_atom46,
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_435,plain,
lhs_atom45,
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_436,plain,
lhs_atom37,
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_437,plain,
lhs_atom36,
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_438,plain,
lhs_atom35,
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_439,plain,
lhs_atom34,
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_440,plain,
lhs_atom33,
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_441,plain,
lhs_atom28,
inference(fof_simplification,[status(thm)],[c_0_216]) ).
fof(c_0_442,plain,
lhs_atom20,
inference(fof_simplification,[status(thm)],[c_0_217]) ).
fof(c_0_443,plain,
lhs_atom19,
inference(fof_simplification,[status(thm)],[c_0_218]) ).
fof(c_0_444,plain,
lhs_atom12,
inference(fof_simplification,[status(thm)],[c_0_219]) ).
fof(c_0_445,plain,
lhs_atom8,
inference(fof_simplification,[status(thm)],[c_0_220]) ).
fof(c_0_446,plain,
lhs_atom6,
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_447,plain,
lhs_atom5,
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_448,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_223]) ).
fof(c_0_449,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_224]) ).
fof(c_0_450,plain,
! [X17,X18,X19,X20] : lhs_atom64(X17,X18,X19,X20),
inference(variable_rename,[status(thm)],[c_0_225]) ).
fof(c_0_451,plain,
! [X13,X14,X15] : lhs_atom41(X13,X14,X15),
inference(variable_rename,[status(thm)],[c_0_226]) ).
fof(c_0_452,plain,
! [X7,X8,X9] : lhs_atom18(X7,X8,X9),
inference(variable_rename,[status(thm)],[c_0_227]) ).
fof(c_0_453,plain,
! [X6,X7,X8] : lhs_atom17(X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_228]) ).
fof(c_0_454,plain,
! [X18,X19] : lhs_atom89(X18,X19),
inference(variable_rename,[status(thm)],[c_0_229]) ).
fof(c_0_455,plain,
! [X18,X19] : lhs_atom85(X18,X19),
inference(variable_rename,[status(thm)],[c_0_230]) ).
fof(c_0_456,plain,
! [X13,X14] : lhs_atom77(X13,X14),
inference(variable_rename,[status(thm)],[c_0_231]) ).
fof(c_0_457,plain,
! [X13,X14] : lhs_atom76(X13,X14),
inference(variable_rename,[status(thm)],[c_0_232]) ).
fof(c_0_458,plain,
! [X8,X9] : lhs_atom71(X8,X9),
inference(variable_rename,[status(thm)],[c_0_233]) ).
fof(c_0_459,plain,
! [X3,X4] : lhs_atom59(X3,X4),
inference(variable_rename,[status(thm)],[c_0_234]) ).
fof(c_0_460,plain,
! [X15,X16] : lhs_atom58(X15,X16),
inference(variable_rename,[status(thm)],[c_0_235]) ).
fof(c_0_461,plain,
! [X3,X4] : lhs_atom44(X3,X4),
inference(variable_rename,[status(thm)],[c_0_236]) ).
fof(c_0_462,plain,
! [X15,X16] : lhs_atom42(X15,X16),
inference(variable_rename,[status(thm)],[c_0_237]) ).
fof(c_0_463,plain,
! [X10,X11] : lhs_atom32(X10,X11),
inference(variable_rename,[status(thm)],[c_0_238]) ).
fof(c_0_464,plain,
! [X3,X4] : lhs_atom31(X3,X4),
inference(variable_rename,[status(thm)],[c_0_239]) ).
fof(c_0_465,plain,
! [X9,X10] : lhs_atom30(X9,X10),
inference(variable_rename,[status(thm)],[c_0_240]) ).
fof(c_0_466,plain,
! [X3,X4] : lhs_atom29(X3,X4),
inference(variable_rename,[status(thm)],[c_0_241]) ).
fof(c_0_467,plain,
! [X3,X4] : lhs_atom25(X3,X4),
inference(variable_rename,[status(thm)],[c_0_242]) ).
fof(c_0_468,plain,
! [X8,X9] : lhs_atom24(X8,X9),
inference(variable_rename,[status(thm)],[c_0_243]) ).
fof(c_0_469,plain,
! [X3,X4] : lhs_atom22(X3,X4),
inference(variable_rename,[status(thm)],[c_0_244]) ).
fof(c_0_470,plain,
! [X3,X4] : lhs_atom21(X3,X4),
inference(variable_rename,[status(thm)],[c_0_245]) ).
fof(c_0_471,plain,
! [X3,X4] : lhs_atom16(X3,X4),
inference(variable_rename,[status(thm)],[c_0_246]) ).
fof(c_0_472,plain,
! [X3,X4] : lhs_atom14(X3,X4),
inference(variable_rename,[status(thm)],[c_0_247]) ).
fof(c_0_473,plain,
! [X3,X4] : lhs_atom10(X3,X4),
inference(variable_rename,[status(thm)],[c_0_248]) ).
fof(c_0_474,plain,
! [X3,X4] : lhs_atom9(X3,X4),
inference(variable_rename,[status(thm)],[c_0_249]) ).
fof(c_0_475,plain,
! [X3,X4] : lhs_atom2(X3,X4),
inference(variable_rename,[status(thm)],[c_0_250]) ).
fof(c_0_476,plain,
! [X3] : lhs_atom83(X3),
inference(variable_rename,[status(thm)],[c_0_251]) ).
fof(c_0_477,plain,
! [X17] : lhs_atom82(X17),
inference(variable_rename,[status(thm)],[c_0_252]) ).
fof(c_0_478,plain,
! [X3] : lhs_atom81(X3),
inference(variable_rename,[status(thm)],[c_0_253]) ).
fof(c_0_479,plain,
! [X18] : lhs_atom80(X18),
inference(variable_rename,[status(thm)],[c_0_254]) ).
fof(c_0_480,plain,
! [X3] : lhs_atom69(X3),
inference(variable_rename,[status(thm)],[c_0_255]) ).
fof(c_0_481,plain,
! [X3] : lhs_atom65(X3),
inference(variable_rename,[status(thm)],[c_0_256]) ).
fof(c_0_482,plain,
! [X3] : lhs_atom63(X3),
inference(variable_rename,[status(thm)],[c_0_257]) ).
fof(c_0_483,plain,
! [X3] : lhs_atom62(X3),
inference(variable_rename,[status(thm)],[c_0_258]) ).
fof(c_0_484,plain,
! [X3] : lhs_atom61(X3),
inference(variable_rename,[status(thm)],[c_0_259]) ).
fof(c_0_485,plain,
! [X3] : lhs_atom60(X3),
inference(variable_rename,[status(thm)],[c_0_260]) ).
fof(c_0_486,plain,
! [X3] : lhs_atom57(X3),
inference(variable_rename,[status(thm)],[c_0_261]) ).
fof(c_0_487,plain,
! [X3] : lhs_atom56(X3),
inference(variable_rename,[status(thm)],[c_0_262]) ).
fof(c_0_488,plain,
! [X3] : lhs_atom55(X3),
inference(variable_rename,[status(thm)],[c_0_263]) ).
fof(c_0_489,plain,
! [X3] : lhs_atom43(X3),
inference(variable_rename,[status(thm)],[c_0_264]) ).
fof(c_0_490,plain,
! [X3] : lhs_atom40(X3),
inference(variable_rename,[status(thm)],[c_0_265]) ).
fof(c_0_491,plain,
! [X3] : lhs_atom39(X3),
inference(variable_rename,[status(thm)],[c_0_266]) ).
fof(c_0_492,plain,
! [X3] : lhs_atom38(X3),
inference(variable_rename,[status(thm)],[c_0_267]) ).
fof(c_0_493,plain,
! [X3] : lhs_atom27(X3),
inference(variable_rename,[status(thm)],[c_0_268]) ).
fof(c_0_494,plain,
! [X3] : lhs_atom26(X3),
inference(variable_rename,[status(thm)],[c_0_269]) ).
fof(c_0_495,plain,
! [X3] : lhs_atom23(X3),
inference(variable_rename,[status(thm)],[c_0_270]) ).
fof(c_0_496,plain,
! [X3] : lhs_atom15(X3),
inference(variable_rename,[status(thm)],[c_0_271]) ).
fof(c_0_497,plain,
! [X3] : lhs_atom13(X3),
inference(variable_rename,[status(thm)],[c_0_272]) ).
fof(c_0_498,plain,
! [X3] : lhs_atom11(X3),
inference(variable_rename,[status(thm)],[c_0_273]) ).
fof(c_0_499,plain,
! [X4] : lhs_atom7(X4),
inference(variable_rename,[status(thm)],[c_0_274]) ).
fof(c_0_500,plain,
! [X3] : lhs_atom3(X3),
inference(variable_rename,[status(thm)],[c_0_275]) ).
fof(c_0_501,plain,
lhs_atom225,
c_0_276 ).
fof(c_0_502,plain,
lhs_atom224,
c_0_277 ).
fof(c_0_503,plain,
lhs_atom223,
c_0_278 ).
fof(c_0_504,plain,
lhs_atom222,
c_0_279 ).
fof(c_0_505,plain,
lhs_atom221,
c_0_280 ).
fof(c_0_506,plain,
lhs_atom220,
c_0_281 ).
fof(c_0_507,plain,
lhs_atom219,
c_0_282 ).
fof(c_0_508,plain,
lhs_atom218,
c_0_283 ).
fof(c_0_509,plain,
lhs_atom217,
c_0_284 ).
fof(c_0_510,plain,
lhs_atom216,
c_0_285 ).
fof(c_0_511,plain,
lhs_atom215,
c_0_286 ).
fof(c_0_512,plain,
lhs_atom214,
c_0_287 ).
fof(c_0_513,plain,
lhs_atom213,
c_0_288 ).
fof(c_0_514,plain,
lhs_atom212,
c_0_289 ).
fof(c_0_515,plain,
lhs_atom211,
c_0_290 ).
fof(c_0_516,plain,
lhs_atom210,
c_0_291 ).
fof(c_0_517,plain,
lhs_atom209,
c_0_292 ).
fof(c_0_518,plain,
lhs_atom208,
c_0_293 ).
fof(c_0_519,plain,
lhs_atom207,
c_0_294 ).
fof(c_0_520,plain,
lhs_atom206,
c_0_295 ).
fof(c_0_521,plain,
lhs_atom205,
c_0_296 ).
fof(c_0_522,plain,
lhs_atom204,
c_0_297 ).
fof(c_0_523,plain,
lhs_atom203,
c_0_298 ).
fof(c_0_524,plain,
lhs_atom202,
c_0_299 ).
fof(c_0_525,plain,
lhs_atom201,
c_0_300 ).
fof(c_0_526,plain,
lhs_atom200,
c_0_301 ).
fof(c_0_527,plain,
lhs_atom199,
c_0_302 ).
fof(c_0_528,plain,
lhs_atom198,
c_0_303 ).
fof(c_0_529,plain,
lhs_atom197,
c_0_304 ).
fof(c_0_530,plain,
lhs_atom196,
c_0_305 ).
fof(c_0_531,plain,
lhs_atom195,
c_0_306 ).
fof(c_0_532,plain,
lhs_atom194,
c_0_307 ).
fof(c_0_533,plain,
lhs_atom193,
c_0_308 ).
fof(c_0_534,plain,
lhs_atom192,
c_0_309 ).
fof(c_0_535,plain,
lhs_atom191,
c_0_310 ).
fof(c_0_536,plain,
lhs_atom190,
c_0_311 ).
fof(c_0_537,plain,
lhs_atom189,
c_0_312 ).
fof(c_0_538,plain,
lhs_atom188,
c_0_313 ).
fof(c_0_539,plain,
lhs_atom187,
c_0_314 ).
fof(c_0_540,plain,
lhs_atom186,
c_0_315 ).
fof(c_0_541,plain,
lhs_atom185,
c_0_316 ).
fof(c_0_542,plain,
lhs_atom184,
c_0_317 ).
fof(c_0_543,plain,
lhs_atom183,
c_0_318 ).
fof(c_0_544,plain,
lhs_atom182,
c_0_319 ).
fof(c_0_545,plain,
lhs_atom181,
c_0_320 ).
fof(c_0_546,plain,
lhs_atom180,
c_0_321 ).
fof(c_0_547,plain,
lhs_atom179,
c_0_322 ).
fof(c_0_548,plain,
lhs_atom178,
c_0_323 ).
fof(c_0_549,plain,
lhs_atom177,
c_0_324 ).
fof(c_0_550,plain,
lhs_atom176,
c_0_325 ).
fof(c_0_551,plain,
lhs_atom175,
c_0_326 ).
fof(c_0_552,plain,
lhs_atom174,
c_0_327 ).
fof(c_0_553,plain,
lhs_atom173,
c_0_328 ).
fof(c_0_554,plain,
lhs_atom172,
c_0_329 ).
fof(c_0_555,plain,
lhs_atom171,
c_0_330 ).
fof(c_0_556,plain,
lhs_atom170,
c_0_331 ).
fof(c_0_557,plain,
lhs_atom169,
c_0_332 ).
fof(c_0_558,plain,
lhs_atom168,
c_0_333 ).
fof(c_0_559,plain,
lhs_atom167,
c_0_334 ).
fof(c_0_560,plain,
lhs_atom166,
c_0_335 ).
fof(c_0_561,plain,
lhs_atom165,
c_0_336 ).
fof(c_0_562,plain,
lhs_atom164,
c_0_337 ).
fof(c_0_563,plain,
lhs_atom163,
c_0_338 ).
fof(c_0_564,plain,
lhs_atom162,
c_0_339 ).
fof(c_0_565,plain,
lhs_atom161,
c_0_340 ).
fof(c_0_566,plain,
lhs_atom160,
c_0_341 ).
fof(c_0_567,plain,
lhs_atom159,
c_0_342 ).
fof(c_0_568,plain,
lhs_atom158,
c_0_343 ).
fof(c_0_569,plain,
lhs_atom157,
c_0_344 ).
fof(c_0_570,plain,
lhs_atom156,
c_0_345 ).
fof(c_0_571,plain,
lhs_atom155,
c_0_346 ).
fof(c_0_572,plain,
lhs_atom154,
c_0_347 ).
fof(c_0_573,plain,
lhs_atom153,
c_0_348 ).
fof(c_0_574,plain,
lhs_atom152,
c_0_349 ).
fof(c_0_575,plain,
lhs_atom151,
c_0_350 ).
fof(c_0_576,plain,
lhs_atom150,
c_0_351 ).
fof(c_0_577,plain,
lhs_atom149,
c_0_352 ).
fof(c_0_578,plain,
lhs_atom148,
c_0_353 ).
fof(c_0_579,plain,
lhs_atom147,
c_0_354 ).
fof(c_0_580,plain,
lhs_atom146,
c_0_355 ).
fof(c_0_581,plain,
lhs_atom145,
c_0_356 ).
fof(c_0_582,plain,
lhs_atom144,
c_0_357 ).
fof(c_0_583,plain,
lhs_atom143,
c_0_358 ).
fof(c_0_584,plain,
lhs_atom142,
c_0_359 ).
fof(c_0_585,plain,
lhs_atom141,
c_0_360 ).
fof(c_0_586,plain,
lhs_atom140,
c_0_361 ).
fof(c_0_587,plain,
lhs_atom139,
c_0_362 ).
fof(c_0_588,plain,
lhs_atom138,
c_0_363 ).
fof(c_0_589,plain,
lhs_atom137,
c_0_364 ).
fof(c_0_590,plain,
lhs_atom136,
c_0_365 ).
fof(c_0_591,plain,
lhs_atom135,
c_0_366 ).
fof(c_0_592,plain,
lhs_atom134,
c_0_367 ).
fof(c_0_593,plain,
lhs_atom133,
c_0_368 ).
fof(c_0_594,plain,
lhs_atom132,
c_0_369 ).
fof(c_0_595,plain,
lhs_atom131,
c_0_370 ).
fof(c_0_596,plain,
lhs_atom130,
c_0_371 ).
fof(c_0_597,plain,
lhs_atom129,
c_0_372 ).
fof(c_0_598,plain,
lhs_atom128,
c_0_373 ).
fof(c_0_599,plain,
lhs_atom127,
c_0_374 ).
fof(c_0_600,plain,
lhs_atom126,
c_0_375 ).
fof(c_0_601,plain,
lhs_atom125,
c_0_376 ).
fof(c_0_602,plain,
lhs_atom124,
c_0_377 ).
fof(c_0_603,plain,
lhs_atom123,
c_0_378 ).
fof(c_0_604,plain,
lhs_atom122,
c_0_379 ).
fof(c_0_605,plain,
lhs_atom121,
c_0_380 ).
fof(c_0_606,plain,
lhs_atom120,
c_0_381 ).
fof(c_0_607,plain,
lhs_atom119,
c_0_382 ).
fof(c_0_608,plain,
lhs_atom118,
c_0_383 ).
fof(c_0_609,plain,
lhs_atom117,
c_0_384 ).
fof(c_0_610,plain,
lhs_atom116,
c_0_385 ).
fof(c_0_611,plain,
lhs_atom115,
c_0_386 ).
fof(c_0_612,plain,
lhs_atom114,
c_0_387 ).
fof(c_0_613,plain,
lhs_atom113,
c_0_388 ).
fof(c_0_614,plain,
lhs_atom112,
c_0_389 ).
fof(c_0_615,plain,
lhs_atom111,
c_0_390 ).
fof(c_0_616,plain,
lhs_atom110,
c_0_391 ).
fof(c_0_617,plain,
lhs_atom109,
c_0_392 ).
fof(c_0_618,plain,
lhs_atom108,
c_0_393 ).
fof(c_0_619,plain,
lhs_atom107,
c_0_394 ).
fof(c_0_620,plain,
lhs_atom106,
c_0_395 ).
fof(c_0_621,plain,
lhs_atom105,
c_0_396 ).
fof(c_0_622,plain,
lhs_atom104,
c_0_397 ).
fof(c_0_623,plain,
lhs_atom103,
c_0_398 ).
fof(c_0_624,plain,
lhs_atom102,
c_0_399 ).
fof(c_0_625,plain,
lhs_atom101,
c_0_400 ).
fof(c_0_626,plain,
lhs_atom100,
c_0_401 ).
fof(c_0_627,plain,
lhs_atom99,
c_0_402 ).
fof(c_0_628,plain,
lhs_atom98,
c_0_403 ).
fof(c_0_629,plain,
lhs_atom97,
c_0_404 ).
fof(c_0_630,plain,
lhs_atom96,
c_0_405 ).
fof(c_0_631,plain,
lhs_atom95,
c_0_406 ).
fof(c_0_632,plain,
lhs_atom94,
c_0_407 ).
fof(c_0_633,plain,
lhs_atom93,
c_0_408 ).
fof(c_0_634,plain,
lhs_atom92,
c_0_409 ).
fof(c_0_635,plain,
lhs_atom91,
c_0_410 ).
fof(c_0_636,plain,
lhs_atom90,
c_0_411 ).
fof(c_0_637,plain,
lhs_atom88,
c_0_412 ).
fof(c_0_638,plain,
lhs_atom87,
c_0_413 ).
fof(c_0_639,plain,
lhs_atom86,
c_0_414 ).
fof(c_0_640,plain,
lhs_atom84,
c_0_415 ).
fof(c_0_641,plain,
lhs_atom79,
c_0_416 ).
fof(c_0_642,plain,
lhs_atom78,
c_0_417 ).
fof(c_0_643,plain,
lhs_atom75,
c_0_418 ).
fof(c_0_644,plain,
lhs_atom74,
c_0_419 ).
fof(c_0_645,plain,
lhs_atom73,
c_0_420 ).
fof(c_0_646,plain,
lhs_atom72,
c_0_421 ).
fof(c_0_647,plain,
lhs_atom70,
c_0_422 ).
fof(c_0_648,plain,
lhs_atom68,
c_0_423 ).
fof(c_0_649,plain,
lhs_atom67,
c_0_424 ).
fof(c_0_650,plain,
lhs_atom66,
c_0_425 ).
fof(c_0_651,plain,
lhs_atom54,
c_0_426 ).
fof(c_0_652,plain,
lhs_atom53,
c_0_427 ).
fof(c_0_653,plain,
lhs_atom52,
c_0_428 ).
fof(c_0_654,plain,
lhs_atom51,
c_0_429 ).
fof(c_0_655,plain,
lhs_atom50,
c_0_430 ).
fof(c_0_656,plain,
lhs_atom49,
c_0_431 ).
fof(c_0_657,plain,
lhs_atom48,
c_0_432 ).
fof(c_0_658,plain,
lhs_atom47,
c_0_433 ).
fof(c_0_659,plain,
lhs_atom46,
c_0_434 ).
fof(c_0_660,plain,
lhs_atom45,
c_0_435 ).
fof(c_0_661,plain,
lhs_atom37,
c_0_436 ).
fof(c_0_662,plain,
lhs_atom36,
c_0_437 ).
fof(c_0_663,plain,
lhs_atom35,
c_0_438 ).
fof(c_0_664,plain,
lhs_atom34,
c_0_439 ).
fof(c_0_665,plain,
lhs_atom33,
c_0_440 ).
fof(c_0_666,plain,
lhs_atom28,
c_0_441 ).
fof(c_0_667,plain,
lhs_atom20,
c_0_442 ).
fof(c_0_668,plain,
lhs_atom19,
c_0_443 ).
fof(c_0_669,plain,
lhs_atom12,
c_0_444 ).
fof(c_0_670,plain,
lhs_atom8,
c_0_445 ).
fof(c_0_671,plain,
lhs_atom6,
c_0_446 ).
fof(c_0_672,plain,
lhs_atom5,
c_0_447 ).
fof(c_0_673,plain,
lhs_atom4,
c_0_448 ).
fof(c_0_674,plain,
lhs_atom1,
c_0_449 ).
cnf(c_0_675,plain,
lhs_atom64(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_450]) ).
cnf(c_0_676,plain,
lhs_atom41(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_451]) ).
cnf(c_0_677,plain,
lhs_atom18(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_452]) ).
cnf(c_0_678,plain,
lhs_atom17(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_453]) ).
cnf(c_0_679,plain,
lhs_atom89(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_454]) ).
cnf(c_0_680,plain,
lhs_atom85(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_455]) ).
cnf(c_0_681,plain,
lhs_atom77(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_456]) ).
cnf(c_0_682,plain,
lhs_atom76(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_457]) ).
cnf(c_0_683,plain,
lhs_atom71(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_458]) ).
cnf(c_0_684,plain,
lhs_atom59(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_459]) ).
cnf(c_0_685,plain,
lhs_atom58(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_460]) ).
cnf(c_0_686,plain,
lhs_atom44(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_461]) ).
cnf(c_0_687,plain,
lhs_atom42(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_462]) ).
cnf(c_0_688,plain,
lhs_atom32(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_463]) ).
cnf(c_0_689,plain,
lhs_atom31(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_464]) ).
cnf(c_0_690,plain,
lhs_atom30(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_465]) ).
cnf(c_0_691,plain,
lhs_atom29(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_466]) ).
cnf(c_0_692,plain,
lhs_atom25(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_467]) ).
cnf(c_0_693,plain,
lhs_atom24(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_468]) ).
cnf(c_0_694,plain,
lhs_atom22(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_469]) ).
cnf(c_0_695,plain,
lhs_atom21(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_470]) ).
cnf(c_0_696,plain,
lhs_atom16(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_471]) ).
cnf(c_0_697,plain,
lhs_atom14(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_472]) ).
cnf(c_0_698,plain,
lhs_atom10(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_473]) ).
cnf(c_0_699,plain,
lhs_atom9(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_474]) ).
cnf(c_0_700,plain,
lhs_atom2(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_475]) ).
cnf(c_0_701,plain,
lhs_atom83(X1),
inference(split_conjunct,[status(thm)],[c_0_476]) ).
cnf(c_0_702,plain,
lhs_atom82(X1),
inference(split_conjunct,[status(thm)],[c_0_477]) ).
cnf(c_0_703,plain,
lhs_atom81(X1),
inference(split_conjunct,[status(thm)],[c_0_478]) ).
cnf(c_0_704,plain,
lhs_atom80(X1),
inference(split_conjunct,[status(thm)],[c_0_479]) ).
cnf(c_0_705,plain,
lhs_atom69(X1),
inference(split_conjunct,[status(thm)],[c_0_480]) ).
cnf(c_0_706,plain,
lhs_atom65(X1),
inference(split_conjunct,[status(thm)],[c_0_481]) ).
cnf(c_0_707,plain,
lhs_atom63(X1),
inference(split_conjunct,[status(thm)],[c_0_482]) ).
cnf(c_0_708,plain,
lhs_atom62(X1),
inference(split_conjunct,[status(thm)],[c_0_483]) ).
cnf(c_0_709,plain,
lhs_atom61(X1),
inference(split_conjunct,[status(thm)],[c_0_484]) ).
cnf(c_0_710,plain,
lhs_atom60(X1),
inference(split_conjunct,[status(thm)],[c_0_485]) ).
cnf(c_0_711,plain,
lhs_atom57(X1),
inference(split_conjunct,[status(thm)],[c_0_486]) ).
cnf(c_0_712,plain,
lhs_atom56(X1),
inference(split_conjunct,[status(thm)],[c_0_487]) ).
cnf(c_0_713,plain,
lhs_atom55(X1),
inference(split_conjunct,[status(thm)],[c_0_488]) ).
cnf(c_0_714,plain,
lhs_atom43(X1),
inference(split_conjunct,[status(thm)],[c_0_489]) ).
cnf(c_0_715,plain,
lhs_atom40(X1),
inference(split_conjunct,[status(thm)],[c_0_490]) ).
cnf(c_0_716,plain,
lhs_atom39(X1),
inference(split_conjunct,[status(thm)],[c_0_491]) ).
cnf(c_0_717,plain,
lhs_atom38(X1),
inference(split_conjunct,[status(thm)],[c_0_492]) ).
cnf(c_0_718,plain,
lhs_atom27(X1),
inference(split_conjunct,[status(thm)],[c_0_493]) ).
cnf(c_0_719,plain,
lhs_atom26(X1),
inference(split_conjunct,[status(thm)],[c_0_494]) ).
cnf(c_0_720,plain,
lhs_atom23(X1),
inference(split_conjunct,[status(thm)],[c_0_495]) ).
cnf(c_0_721,plain,
lhs_atom15(X1),
inference(split_conjunct,[status(thm)],[c_0_496]) ).
cnf(c_0_722,plain,
lhs_atom13(X1),
inference(split_conjunct,[status(thm)],[c_0_497]) ).
cnf(c_0_723,plain,
lhs_atom11(X1),
inference(split_conjunct,[status(thm)],[c_0_498]) ).
cnf(c_0_724,plain,
lhs_atom7(X1),
inference(split_conjunct,[status(thm)],[c_0_499]) ).
cnf(c_0_725,plain,
lhs_atom3(X1),
inference(split_conjunct,[status(thm)],[c_0_500]) ).
cnf(c_0_726,plain,
lhs_atom225,
inference(split_conjunct,[status(thm)],[c_0_501]) ).
cnf(c_0_727,plain,
lhs_atom224,
inference(split_conjunct,[status(thm)],[c_0_502]) ).
cnf(c_0_728,plain,
lhs_atom223,
inference(split_conjunct,[status(thm)],[c_0_503]) ).
cnf(c_0_729,plain,
lhs_atom222,
inference(split_conjunct,[status(thm)],[c_0_504]) ).
cnf(c_0_730,plain,
lhs_atom221,
inference(split_conjunct,[status(thm)],[c_0_505]) ).
cnf(c_0_731,plain,
lhs_atom220,
inference(split_conjunct,[status(thm)],[c_0_506]) ).
cnf(c_0_732,plain,
lhs_atom219,
inference(split_conjunct,[status(thm)],[c_0_507]) ).
cnf(c_0_733,plain,
lhs_atom218,
inference(split_conjunct,[status(thm)],[c_0_508]) ).
cnf(c_0_734,plain,
lhs_atom217,
inference(split_conjunct,[status(thm)],[c_0_509]) ).
cnf(c_0_735,plain,
lhs_atom216,
inference(split_conjunct,[status(thm)],[c_0_510]) ).
cnf(c_0_736,plain,
lhs_atom215,
inference(split_conjunct,[status(thm)],[c_0_511]) ).
cnf(c_0_737,plain,
lhs_atom214,
inference(split_conjunct,[status(thm)],[c_0_512]) ).
cnf(c_0_738,plain,
lhs_atom213,
inference(split_conjunct,[status(thm)],[c_0_513]) ).
cnf(c_0_739,plain,
lhs_atom212,
inference(split_conjunct,[status(thm)],[c_0_514]) ).
cnf(c_0_740,plain,
lhs_atom211,
inference(split_conjunct,[status(thm)],[c_0_515]) ).
cnf(c_0_741,plain,
lhs_atom210,
inference(split_conjunct,[status(thm)],[c_0_516]) ).
cnf(c_0_742,plain,
lhs_atom209,
inference(split_conjunct,[status(thm)],[c_0_517]) ).
cnf(c_0_743,plain,
lhs_atom208,
inference(split_conjunct,[status(thm)],[c_0_518]) ).
cnf(c_0_744,plain,
lhs_atom207,
inference(split_conjunct,[status(thm)],[c_0_519]) ).
cnf(c_0_745,plain,
lhs_atom206,
inference(split_conjunct,[status(thm)],[c_0_520]) ).
cnf(c_0_746,plain,
lhs_atom205,
inference(split_conjunct,[status(thm)],[c_0_521]) ).
cnf(c_0_747,plain,
lhs_atom204,
inference(split_conjunct,[status(thm)],[c_0_522]) ).
cnf(c_0_748,plain,
lhs_atom203,
inference(split_conjunct,[status(thm)],[c_0_523]) ).
cnf(c_0_749,plain,
lhs_atom202,
inference(split_conjunct,[status(thm)],[c_0_524]) ).
cnf(c_0_750,plain,
lhs_atom201,
inference(split_conjunct,[status(thm)],[c_0_525]) ).
cnf(c_0_751,plain,
lhs_atom200,
inference(split_conjunct,[status(thm)],[c_0_526]) ).
cnf(c_0_752,plain,
lhs_atom199,
inference(split_conjunct,[status(thm)],[c_0_527]) ).
cnf(c_0_753,plain,
lhs_atom198,
inference(split_conjunct,[status(thm)],[c_0_528]) ).
cnf(c_0_754,plain,
lhs_atom197,
inference(split_conjunct,[status(thm)],[c_0_529]) ).
cnf(c_0_755,plain,
lhs_atom196,
inference(split_conjunct,[status(thm)],[c_0_530]) ).
cnf(c_0_756,plain,
lhs_atom195,
inference(split_conjunct,[status(thm)],[c_0_531]) ).
cnf(c_0_757,plain,
lhs_atom194,
inference(split_conjunct,[status(thm)],[c_0_532]) ).
cnf(c_0_758,plain,
lhs_atom193,
inference(split_conjunct,[status(thm)],[c_0_533]) ).
cnf(c_0_759,plain,
lhs_atom192,
inference(split_conjunct,[status(thm)],[c_0_534]) ).
cnf(c_0_760,plain,
lhs_atom191,
inference(split_conjunct,[status(thm)],[c_0_535]) ).
cnf(c_0_761,plain,
lhs_atom190,
inference(split_conjunct,[status(thm)],[c_0_536]) ).
cnf(c_0_762,plain,
lhs_atom189,
inference(split_conjunct,[status(thm)],[c_0_537]) ).
cnf(c_0_763,plain,
lhs_atom188,
inference(split_conjunct,[status(thm)],[c_0_538]) ).
cnf(c_0_764,plain,
lhs_atom187,
inference(split_conjunct,[status(thm)],[c_0_539]) ).
cnf(c_0_765,plain,
lhs_atom186,
inference(split_conjunct,[status(thm)],[c_0_540]) ).
cnf(c_0_766,plain,
lhs_atom185,
inference(split_conjunct,[status(thm)],[c_0_541]) ).
cnf(c_0_767,plain,
lhs_atom184,
inference(split_conjunct,[status(thm)],[c_0_542]) ).
cnf(c_0_768,plain,
lhs_atom183,
inference(split_conjunct,[status(thm)],[c_0_543]) ).
cnf(c_0_769,plain,
lhs_atom182,
inference(split_conjunct,[status(thm)],[c_0_544]) ).
cnf(c_0_770,plain,
lhs_atom181,
inference(split_conjunct,[status(thm)],[c_0_545]) ).
cnf(c_0_771,plain,
lhs_atom180,
inference(split_conjunct,[status(thm)],[c_0_546]) ).
cnf(c_0_772,plain,
lhs_atom179,
inference(split_conjunct,[status(thm)],[c_0_547]) ).
cnf(c_0_773,plain,
lhs_atom178,
inference(split_conjunct,[status(thm)],[c_0_548]) ).
cnf(c_0_774,plain,
lhs_atom177,
inference(split_conjunct,[status(thm)],[c_0_549]) ).
cnf(c_0_775,plain,
lhs_atom176,
inference(split_conjunct,[status(thm)],[c_0_550]) ).
cnf(c_0_776,plain,
lhs_atom175,
inference(split_conjunct,[status(thm)],[c_0_551]) ).
cnf(c_0_777,plain,
lhs_atom174,
inference(split_conjunct,[status(thm)],[c_0_552]) ).
cnf(c_0_778,plain,
lhs_atom173,
inference(split_conjunct,[status(thm)],[c_0_553]) ).
cnf(c_0_779,plain,
lhs_atom172,
inference(split_conjunct,[status(thm)],[c_0_554]) ).
cnf(c_0_780,plain,
lhs_atom171,
inference(split_conjunct,[status(thm)],[c_0_555]) ).
cnf(c_0_781,plain,
lhs_atom170,
inference(split_conjunct,[status(thm)],[c_0_556]) ).
cnf(c_0_782,plain,
lhs_atom169,
inference(split_conjunct,[status(thm)],[c_0_557]) ).
cnf(c_0_783,plain,
lhs_atom168,
inference(split_conjunct,[status(thm)],[c_0_558]) ).
cnf(c_0_784,plain,
lhs_atom167,
inference(split_conjunct,[status(thm)],[c_0_559]) ).
cnf(c_0_785,plain,
lhs_atom166,
inference(split_conjunct,[status(thm)],[c_0_560]) ).
cnf(c_0_786,plain,
lhs_atom165,
inference(split_conjunct,[status(thm)],[c_0_561]) ).
cnf(c_0_787,plain,
lhs_atom164,
inference(split_conjunct,[status(thm)],[c_0_562]) ).
cnf(c_0_788,plain,
lhs_atom163,
inference(split_conjunct,[status(thm)],[c_0_563]) ).
cnf(c_0_789,plain,
lhs_atom162,
inference(split_conjunct,[status(thm)],[c_0_564]) ).
cnf(c_0_790,plain,
lhs_atom161,
inference(split_conjunct,[status(thm)],[c_0_565]) ).
cnf(c_0_791,plain,
lhs_atom160,
inference(split_conjunct,[status(thm)],[c_0_566]) ).
cnf(c_0_792,plain,
lhs_atom159,
inference(split_conjunct,[status(thm)],[c_0_567]) ).
cnf(c_0_793,plain,
lhs_atom158,
inference(split_conjunct,[status(thm)],[c_0_568]) ).
cnf(c_0_794,plain,
lhs_atom157,
inference(split_conjunct,[status(thm)],[c_0_569]) ).
cnf(c_0_795,plain,
lhs_atom156,
inference(split_conjunct,[status(thm)],[c_0_570]) ).
cnf(c_0_796,plain,
lhs_atom155,
inference(split_conjunct,[status(thm)],[c_0_571]) ).
cnf(c_0_797,plain,
lhs_atom154,
inference(split_conjunct,[status(thm)],[c_0_572]) ).
cnf(c_0_798,plain,
lhs_atom153,
inference(split_conjunct,[status(thm)],[c_0_573]) ).
cnf(c_0_799,plain,
lhs_atom152,
inference(split_conjunct,[status(thm)],[c_0_574]) ).
cnf(c_0_800,plain,
lhs_atom151,
inference(split_conjunct,[status(thm)],[c_0_575]) ).
cnf(c_0_801,plain,
lhs_atom150,
inference(split_conjunct,[status(thm)],[c_0_576]) ).
cnf(c_0_802,plain,
lhs_atom149,
inference(split_conjunct,[status(thm)],[c_0_577]) ).
cnf(c_0_803,plain,
lhs_atom148,
inference(split_conjunct,[status(thm)],[c_0_578]) ).
cnf(c_0_804,plain,
lhs_atom147,
inference(split_conjunct,[status(thm)],[c_0_579]) ).
cnf(c_0_805,plain,
lhs_atom146,
inference(split_conjunct,[status(thm)],[c_0_580]) ).
cnf(c_0_806,plain,
lhs_atom145,
inference(split_conjunct,[status(thm)],[c_0_581]) ).
cnf(c_0_807,plain,
lhs_atom144,
inference(split_conjunct,[status(thm)],[c_0_582]) ).
cnf(c_0_808,plain,
lhs_atom143,
inference(split_conjunct,[status(thm)],[c_0_583]) ).
cnf(c_0_809,plain,
lhs_atom142,
inference(split_conjunct,[status(thm)],[c_0_584]) ).
cnf(c_0_810,plain,
lhs_atom141,
inference(split_conjunct,[status(thm)],[c_0_585]) ).
cnf(c_0_811,plain,
lhs_atom140,
inference(split_conjunct,[status(thm)],[c_0_586]) ).
cnf(c_0_812,plain,
lhs_atom139,
inference(split_conjunct,[status(thm)],[c_0_587]) ).
cnf(c_0_813,plain,
lhs_atom138,
inference(split_conjunct,[status(thm)],[c_0_588]) ).
cnf(c_0_814,plain,
lhs_atom137,
inference(split_conjunct,[status(thm)],[c_0_589]) ).
cnf(c_0_815,plain,
lhs_atom136,
inference(split_conjunct,[status(thm)],[c_0_590]) ).
cnf(c_0_816,plain,
lhs_atom135,
inference(split_conjunct,[status(thm)],[c_0_591]) ).
cnf(c_0_817,plain,
lhs_atom134,
inference(split_conjunct,[status(thm)],[c_0_592]) ).
cnf(c_0_818,plain,
lhs_atom133,
inference(split_conjunct,[status(thm)],[c_0_593]) ).
cnf(c_0_819,plain,
lhs_atom132,
inference(split_conjunct,[status(thm)],[c_0_594]) ).
cnf(c_0_820,plain,
lhs_atom131,
inference(split_conjunct,[status(thm)],[c_0_595]) ).
cnf(c_0_821,plain,
lhs_atom130,
inference(split_conjunct,[status(thm)],[c_0_596]) ).
cnf(c_0_822,plain,
lhs_atom129,
inference(split_conjunct,[status(thm)],[c_0_597]) ).
cnf(c_0_823,plain,
lhs_atom128,
inference(split_conjunct,[status(thm)],[c_0_598]) ).
cnf(c_0_824,plain,
lhs_atom127,
inference(split_conjunct,[status(thm)],[c_0_599]) ).
cnf(c_0_825,plain,
lhs_atom126,
inference(split_conjunct,[status(thm)],[c_0_600]) ).
cnf(c_0_826,plain,
lhs_atom125,
inference(split_conjunct,[status(thm)],[c_0_601]) ).
cnf(c_0_827,plain,
lhs_atom124,
inference(split_conjunct,[status(thm)],[c_0_602]) ).
cnf(c_0_828,plain,
lhs_atom123,
inference(split_conjunct,[status(thm)],[c_0_603]) ).
cnf(c_0_829,plain,
lhs_atom122,
inference(split_conjunct,[status(thm)],[c_0_604]) ).
cnf(c_0_830,plain,
lhs_atom121,
inference(split_conjunct,[status(thm)],[c_0_605]) ).
cnf(c_0_831,plain,
lhs_atom120,
inference(split_conjunct,[status(thm)],[c_0_606]) ).
cnf(c_0_832,plain,
lhs_atom119,
inference(split_conjunct,[status(thm)],[c_0_607]) ).
cnf(c_0_833,plain,
lhs_atom118,
inference(split_conjunct,[status(thm)],[c_0_608]) ).
cnf(c_0_834,plain,
lhs_atom117,
inference(split_conjunct,[status(thm)],[c_0_609]) ).
cnf(c_0_835,plain,
lhs_atom116,
inference(split_conjunct,[status(thm)],[c_0_610]) ).
cnf(c_0_836,plain,
lhs_atom115,
inference(split_conjunct,[status(thm)],[c_0_611]) ).
cnf(c_0_837,plain,
lhs_atom114,
inference(split_conjunct,[status(thm)],[c_0_612]) ).
cnf(c_0_838,plain,
lhs_atom113,
inference(split_conjunct,[status(thm)],[c_0_613]) ).
cnf(c_0_839,plain,
lhs_atom112,
inference(split_conjunct,[status(thm)],[c_0_614]) ).
cnf(c_0_840,plain,
lhs_atom111,
inference(split_conjunct,[status(thm)],[c_0_615]) ).
cnf(c_0_841,plain,
lhs_atom110,
inference(split_conjunct,[status(thm)],[c_0_616]) ).
cnf(c_0_842,plain,
lhs_atom109,
inference(split_conjunct,[status(thm)],[c_0_617]) ).
cnf(c_0_843,plain,
lhs_atom108,
inference(split_conjunct,[status(thm)],[c_0_618]) ).
cnf(c_0_844,plain,
lhs_atom107,
inference(split_conjunct,[status(thm)],[c_0_619]) ).
cnf(c_0_845,plain,
lhs_atom106,
inference(split_conjunct,[status(thm)],[c_0_620]) ).
cnf(c_0_846,plain,
lhs_atom105,
inference(split_conjunct,[status(thm)],[c_0_621]) ).
cnf(c_0_847,plain,
lhs_atom104,
inference(split_conjunct,[status(thm)],[c_0_622]) ).
cnf(c_0_848,plain,
lhs_atom103,
inference(split_conjunct,[status(thm)],[c_0_623]) ).
cnf(c_0_849,plain,
lhs_atom102,
inference(split_conjunct,[status(thm)],[c_0_624]) ).
cnf(c_0_850,plain,
lhs_atom101,
inference(split_conjunct,[status(thm)],[c_0_625]) ).
cnf(c_0_851,plain,
lhs_atom100,
inference(split_conjunct,[status(thm)],[c_0_626]) ).
cnf(c_0_852,plain,
lhs_atom99,
inference(split_conjunct,[status(thm)],[c_0_627]) ).
cnf(c_0_853,plain,
lhs_atom98,
inference(split_conjunct,[status(thm)],[c_0_628]) ).
cnf(c_0_854,plain,
lhs_atom97,
inference(split_conjunct,[status(thm)],[c_0_629]) ).
cnf(c_0_855,plain,
lhs_atom96,
inference(split_conjunct,[status(thm)],[c_0_630]) ).
cnf(c_0_856,plain,
lhs_atom95,
inference(split_conjunct,[status(thm)],[c_0_631]) ).
cnf(c_0_857,plain,
lhs_atom94,
inference(split_conjunct,[status(thm)],[c_0_632]) ).
cnf(c_0_858,plain,
lhs_atom93,
inference(split_conjunct,[status(thm)],[c_0_633]) ).
cnf(c_0_859,plain,
lhs_atom92,
inference(split_conjunct,[status(thm)],[c_0_634]) ).
cnf(c_0_860,plain,
lhs_atom91,
inference(split_conjunct,[status(thm)],[c_0_635]) ).
cnf(c_0_861,plain,
lhs_atom90,
inference(split_conjunct,[status(thm)],[c_0_636]) ).
cnf(c_0_862,plain,
lhs_atom88,
inference(split_conjunct,[status(thm)],[c_0_637]) ).
cnf(c_0_863,plain,
lhs_atom87,
inference(split_conjunct,[status(thm)],[c_0_638]) ).
cnf(c_0_864,plain,
lhs_atom86,
inference(split_conjunct,[status(thm)],[c_0_639]) ).
cnf(c_0_865,plain,
lhs_atom84,
inference(split_conjunct,[status(thm)],[c_0_640]) ).
cnf(c_0_866,plain,
lhs_atom79,
inference(split_conjunct,[status(thm)],[c_0_641]) ).
cnf(c_0_867,plain,
lhs_atom78,
inference(split_conjunct,[status(thm)],[c_0_642]) ).
cnf(c_0_868,plain,
lhs_atom75,
inference(split_conjunct,[status(thm)],[c_0_643]) ).
cnf(c_0_869,plain,
lhs_atom74,
inference(split_conjunct,[status(thm)],[c_0_644]) ).
cnf(c_0_870,plain,
lhs_atom73,
inference(split_conjunct,[status(thm)],[c_0_645]) ).
cnf(c_0_871,plain,
lhs_atom72,
inference(split_conjunct,[status(thm)],[c_0_646]) ).
cnf(c_0_872,plain,
lhs_atom70,
inference(split_conjunct,[status(thm)],[c_0_647]) ).
cnf(c_0_873,plain,
lhs_atom68,
inference(split_conjunct,[status(thm)],[c_0_648]) ).
cnf(c_0_874,plain,
lhs_atom67,
inference(split_conjunct,[status(thm)],[c_0_649]) ).
cnf(c_0_875,plain,
lhs_atom66,
inference(split_conjunct,[status(thm)],[c_0_650]) ).
cnf(c_0_876,plain,
lhs_atom54,
inference(split_conjunct,[status(thm)],[c_0_651]) ).
cnf(c_0_877,plain,
lhs_atom53,
inference(split_conjunct,[status(thm)],[c_0_652]) ).
cnf(c_0_878,plain,
lhs_atom52,
inference(split_conjunct,[status(thm)],[c_0_653]) ).
cnf(c_0_879,plain,
lhs_atom51,
inference(split_conjunct,[status(thm)],[c_0_654]) ).
cnf(c_0_880,plain,
lhs_atom50,
inference(split_conjunct,[status(thm)],[c_0_655]) ).
cnf(c_0_881,plain,
lhs_atom49,
inference(split_conjunct,[status(thm)],[c_0_656]) ).
cnf(c_0_882,plain,
lhs_atom48,
inference(split_conjunct,[status(thm)],[c_0_657]) ).
cnf(c_0_883,plain,
lhs_atom47,
inference(split_conjunct,[status(thm)],[c_0_658]) ).
cnf(c_0_884,plain,
lhs_atom46,
inference(split_conjunct,[status(thm)],[c_0_659]) ).
cnf(c_0_885,plain,
lhs_atom45,
inference(split_conjunct,[status(thm)],[c_0_660]) ).
cnf(c_0_886,plain,
lhs_atom37,
inference(split_conjunct,[status(thm)],[c_0_661]) ).
cnf(c_0_887,plain,
lhs_atom36,
inference(split_conjunct,[status(thm)],[c_0_662]) ).
cnf(c_0_888,plain,
lhs_atom35,
inference(split_conjunct,[status(thm)],[c_0_663]) ).
cnf(c_0_889,plain,
lhs_atom34,
inference(split_conjunct,[status(thm)],[c_0_664]) ).
cnf(c_0_890,plain,
lhs_atom33,
inference(split_conjunct,[status(thm)],[c_0_665]) ).
cnf(c_0_891,plain,
lhs_atom28,
inference(split_conjunct,[status(thm)],[c_0_666]) ).
cnf(c_0_892,plain,
lhs_atom20,
inference(split_conjunct,[status(thm)],[c_0_667]) ).
cnf(c_0_893,plain,
lhs_atom19,
inference(split_conjunct,[status(thm)],[c_0_668]) ).
cnf(c_0_894,plain,
lhs_atom12,
inference(split_conjunct,[status(thm)],[c_0_669]) ).
cnf(c_0_895,plain,
lhs_atom8,
inference(split_conjunct,[status(thm)],[c_0_670]) ).
cnf(c_0_896,plain,
lhs_atom6,
inference(split_conjunct,[status(thm)],[c_0_671]) ).
cnf(c_0_897,plain,
lhs_atom5,
inference(split_conjunct,[status(thm)],[c_0_672]) ).
cnf(c_0_898,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_673]) ).
cnf(c_0_899,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_674]) ).
cnf(c_0_900,plain,
lhs_atom64(X1,X2,X3,X4),
c_0_675,
[final] ).
cnf(c_0_901,plain,
lhs_atom41(X1,X2,X3),
c_0_676,
[final] ).
cnf(c_0_902,plain,
lhs_atom18(X1,X2,X3),
c_0_677,
[final] ).
cnf(c_0_903,plain,
lhs_atom17(X1,X2,X3),
c_0_678,
[final] ).
cnf(c_0_904,plain,
lhs_atom89(X1,X2),
c_0_679,
[final] ).
cnf(c_0_905,plain,
lhs_atom85(X1,X2),
c_0_680,
[final] ).
cnf(c_0_906,plain,
lhs_atom77(X1,X2),
c_0_681,
[final] ).
cnf(c_0_907,plain,
lhs_atom76(X1,X2),
c_0_682,
[final] ).
cnf(c_0_908,plain,
lhs_atom71(X1,X2),
c_0_683,
[final] ).
cnf(c_0_909,plain,
lhs_atom59(X1,X2),
c_0_684,
[final] ).
cnf(c_0_910,plain,
lhs_atom58(X1,X2),
c_0_685,
[final] ).
cnf(c_0_911,plain,
lhs_atom44(X1,X2),
c_0_686,
[final] ).
cnf(c_0_912,plain,
lhs_atom42(X1,X2),
c_0_687,
[final] ).
cnf(c_0_913,plain,
lhs_atom32(X1,X2),
c_0_688,
[final] ).
cnf(c_0_914,plain,
lhs_atom31(X1,X2),
c_0_689,
[final] ).
cnf(c_0_915,plain,
lhs_atom30(X1,X2),
c_0_690,
[final] ).
cnf(c_0_916,plain,
lhs_atom29(X1,X2),
c_0_691,
[final] ).
cnf(c_0_917,plain,
lhs_atom25(X1,X2),
c_0_692,
[final] ).
cnf(c_0_918,plain,
lhs_atom24(X1,X2),
c_0_693,
[final] ).
cnf(c_0_919,plain,
lhs_atom22(X1,X2),
c_0_694,
[final] ).
cnf(c_0_920,plain,
lhs_atom21(X1,X2),
c_0_695,
[final] ).
cnf(c_0_921,plain,
lhs_atom16(X1,X2),
c_0_696,
[final] ).
cnf(c_0_922,plain,
lhs_atom14(X1,X2),
c_0_697,
[final] ).
cnf(c_0_923,plain,
lhs_atom10(X1,X2),
c_0_698,
[final] ).
cnf(c_0_924,plain,
lhs_atom9(X1,X2),
c_0_699,
[final] ).
cnf(c_0_925,plain,
lhs_atom2(X1,X2),
c_0_700,
[final] ).
cnf(c_0_926,plain,
lhs_atom83(X1),
c_0_701,
[final] ).
cnf(c_0_927,plain,
lhs_atom82(X1),
c_0_702,
[final] ).
cnf(c_0_928,plain,
lhs_atom81(X1),
c_0_703,
[final] ).
cnf(c_0_929,plain,
lhs_atom80(X1),
c_0_704,
[final] ).
cnf(c_0_930,plain,
lhs_atom69(X1),
c_0_705,
[final] ).
cnf(c_0_931,plain,
lhs_atom65(X1),
c_0_706,
[final] ).
cnf(c_0_932,plain,
lhs_atom63(X1),
c_0_707,
[final] ).
cnf(c_0_933,plain,
lhs_atom62(X1),
c_0_708,
[final] ).
cnf(c_0_934,plain,
lhs_atom61(X1),
c_0_709,
[final] ).
cnf(c_0_935,plain,
lhs_atom60(X1),
c_0_710,
[final] ).
cnf(c_0_936,plain,
lhs_atom57(X1),
c_0_711,
[final] ).
cnf(c_0_937,plain,
lhs_atom56(X1),
c_0_712,
[final] ).
cnf(c_0_938,plain,
lhs_atom55(X1),
c_0_713,
[final] ).
cnf(c_0_939,plain,
lhs_atom43(X1),
c_0_714,
[final] ).
cnf(c_0_940,plain,
lhs_atom40(X1),
c_0_715,
[final] ).
cnf(c_0_941,plain,
lhs_atom39(X1),
c_0_716,
[final] ).
cnf(c_0_942,plain,
lhs_atom38(X1),
c_0_717,
[final] ).
cnf(c_0_943,plain,
lhs_atom27(X1),
c_0_718,
[final] ).
cnf(c_0_944,plain,
lhs_atom26(X1),
c_0_719,
[final] ).
cnf(c_0_945,plain,
lhs_atom23(X1),
c_0_720,
[final] ).
cnf(c_0_946,plain,
lhs_atom15(X1),
c_0_721,
[final] ).
cnf(c_0_947,plain,
lhs_atom13(X1),
c_0_722,
[final] ).
cnf(c_0_948,plain,
lhs_atom11(X1),
c_0_723,
[final] ).
cnf(c_0_949,plain,
lhs_atom7(X1),
c_0_724,
[final] ).
cnf(c_0_950,plain,
lhs_atom3(X1),
c_0_725,
[final] ).
cnf(c_0_951,plain,
lhs_atom225,
c_0_726,
[final] ).
cnf(c_0_952,plain,
lhs_atom224,
c_0_727,
[final] ).
cnf(c_0_953,plain,
lhs_atom223,
c_0_728,
[final] ).
cnf(c_0_954,plain,
lhs_atom222,
c_0_729,
[final] ).
cnf(c_0_955,plain,
lhs_atom221,
c_0_730,
[final] ).
cnf(c_0_956,plain,
lhs_atom220,
c_0_731,
[final] ).
cnf(c_0_957,plain,
lhs_atom219,
c_0_732,
[final] ).
cnf(c_0_958,plain,
lhs_atom218,
c_0_733,
[final] ).
cnf(c_0_959,plain,
lhs_atom217,
c_0_734,
[final] ).
cnf(c_0_960,plain,
lhs_atom216,
c_0_735,
[final] ).
cnf(c_0_961,plain,
lhs_atom215,
c_0_736,
[final] ).
cnf(c_0_962,plain,
lhs_atom214,
c_0_737,
[final] ).
cnf(c_0_963,plain,
lhs_atom213,
c_0_738,
[final] ).
cnf(c_0_964,plain,
lhs_atom212,
c_0_739,
[final] ).
cnf(c_0_965,plain,
lhs_atom211,
c_0_740,
[final] ).
cnf(c_0_966,plain,
lhs_atom210,
c_0_741,
[final] ).
cnf(c_0_967,plain,
lhs_atom209,
c_0_742,
[final] ).
cnf(c_0_968,plain,
lhs_atom208,
c_0_743,
[final] ).
cnf(c_0_969,plain,
lhs_atom207,
c_0_744,
[final] ).
cnf(c_0_970,plain,
lhs_atom206,
c_0_745,
[final] ).
cnf(c_0_971,plain,
lhs_atom205,
c_0_746,
[final] ).
cnf(c_0_972,plain,
lhs_atom204,
c_0_747,
[final] ).
cnf(c_0_973,plain,
lhs_atom203,
c_0_748,
[final] ).
cnf(c_0_974,plain,
lhs_atom202,
c_0_749,
[final] ).
cnf(c_0_975,plain,
lhs_atom201,
c_0_750,
[final] ).
cnf(c_0_976,plain,
lhs_atom200,
c_0_751,
[final] ).
cnf(c_0_977,plain,
lhs_atom199,
c_0_752,
[final] ).
cnf(c_0_978,plain,
lhs_atom198,
c_0_753,
[final] ).
cnf(c_0_979,plain,
lhs_atom197,
c_0_754,
[final] ).
cnf(c_0_980,plain,
lhs_atom196,
c_0_755,
[final] ).
cnf(c_0_981,plain,
lhs_atom195,
c_0_756,
[final] ).
cnf(c_0_982,plain,
lhs_atom194,
c_0_757,
[final] ).
cnf(c_0_983,plain,
lhs_atom193,
c_0_758,
[final] ).
cnf(c_0_984,plain,
lhs_atom192,
c_0_759,
[final] ).
cnf(c_0_985,plain,
lhs_atom191,
c_0_760,
[final] ).
cnf(c_0_986,plain,
lhs_atom190,
c_0_761,
[final] ).
cnf(c_0_987,plain,
lhs_atom189,
c_0_762,
[final] ).
cnf(c_0_988,plain,
lhs_atom188,
c_0_763,
[final] ).
cnf(c_0_989,plain,
lhs_atom187,
c_0_764,
[final] ).
cnf(c_0_990,plain,
lhs_atom186,
c_0_765,
[final] ).
cnf(c_0_991,plain,
lhs_atom185,
c_0_766,
[final] ).
cnf(c_0_992,plain,
lhs_atom184,
c_0_767,
[final] ).
cnf(c_0_993,plain,
lhs_atom183,
c_0_768,
[final] ).
cnf(c_0_994,plain,
lhs_atom182,
c_0_769,
[final] ).
cnf(c_0_995,plain,
lhs_atom181,
c_0_770,
[final] ).
cnf(c_0_996,plain,
lhs_atom180,
c_0_771,
[final] ).
cnf(c_0_997,plain,
lhs_atom179,
c_0_772,
[final] ).
cnf(c_0_998,plain,
lhs_atom178,
c_0_773,
[final] ).
cnf(c_0_999,plain,
lhs_atom177,
c_0_774,
[final] ).
cnf(c_0_1000,plain,
lhs_atom176,
c_0_775,
[final] ).
cnf(c_0_1001,plain,
lhs_atom175,
c_0_776,
[final] ).
cnf(c_0_1002,plain,
lhs_atom174,
c_0_777,
[final] ).
cnf(c_0_1003,plain,
lhs_atom173,
c_0_778,
[final] ).
cnf(c_0_1004,plain,
lhs_atom172,
c_0_779,
[final] ).
cnf(c_0_1005,plain,
lhs_atom171,
c_0_780,
[final] ).
cnf(c_0_1006,plain,
lhs_atom170,
c_0_781,
[final] ).
cnf(c_0_1007,plain,
lhs_atom169,
c_0_782,
[final] ).
cnf(c_0_1008,plain,
lhs_atom168,
c_0_783,
[final] ).
cnf(c_0_1009,plain,
lhs_atom167,
c_0_784,
[final] ).
cnf(c_0_1010,plain,
lhs_atom166,
c_0_785,
[final] ).
cnf(c_0_1011,plain,
lhs_atom165,
c_0_786,
[final] ).
cnf(c_0_1012,plain,
lhs_atom164,
c_0_787,
[final] ).
cnf(c_0_1013,plain,
lhs_atom163,
c_0_788,
[final] ).
cnf(c_0_1014,plain,
lhs_atom162,
c_0_789,
[final] ).
cnf(c_0_1015,plain,
lhs_atom161,
c_0_790,
[final] ).
cnf(c_0_1016,plain,
lhs_atom160,
c_0_791,
[final] ).
cnf(c_0_1017,plain,
lhs_atom159,
c_0_792,
[final] ).
cnf(c_0_1018,plain,
lhs_atom158,
c_0_793,
[final] ).
cnf(c_0_1019,plain,
lhs_atom157,
c_0_794,
[final] ).
cnf(c_0_1020,plain,
lhs_atom156,
c_0_795,
[final] ).
cnf(c_0_1021,plain,
lhs_atom155,
c_0_796,
[final] ).
cnf(c_0_1022,plain,
lhs_atom154,
c_0_797,
[final] ).
cnf(c_0_1023,plain,
lhs_atom153,
c_0_798,
[final] ).
cnf(c_0_1024,plain,
lhs_atom152,
c_0_799,
[final] ).
cnf(c_0_1025,plain,
lhs_atom151,
c_0_800,
[final] ).
cnf(c_0_1026,plain,
lhs_atom150,
c_0_801,
[final] ).
cnf(c_0_1027,plain,
lhs_atom149,
c_0_802,
[final] ).
cnf(c_0_1028,plain,
lhs_atom148,
c_0_803,
[final] ).
cnf(c_0_1029,plain,
lhs_atom147,
c_0_804,
[final] ).
cnf(c_0_1030,plain,
lhs_atom146,
c_0_805,
[final] ).
cnf(c_0_1031,plain,
lhs_atom145,
c_0_806,
[final] ).
cnf(c_0_1032,plain,
lhs_atom144,
c_0_807,
[final] ).
cnf(c_0_1033,plain,
lhs_atom143,
c_0_808,
[final] ).
cnf(c_0_1034,plain,
lhs_atom142,
c_0_809,
[final] ).
cnf(c_0_1035,plain,
lhs_atom141,
c_0_810,
[final] ).
cnf(c_0_1036,plain,
lhs_atom140,
c_0_811,
[final] ).
cnf(c_0_1037,plain,
lhs_atom139,
c_0_812,
[final] ).
cnf(c_0_1038,plain,
lhs_atom138,
c_0_813,
[final] ).
cnf(c_0_1039,plain,
lhs_atom137,
c_0_814,
[final] ).
cnf(c_0_1040,plain,
lhs_atom136,
c_0_815,
[final] ).
cnf(c_0_1041,plain,
lhs_atom135,
c_0_816,
[final] ).
cnf(c_0_1042,plain,
lhs_atom134,
c_0_817,
[final] ).
cnf(c_0_1043,plain,
lhs_atom133,
c_0_818,
[final] ).
cnf(c_0_1044,plain,
lhs_atom132,
c_0_819,
[final] ).
cnf(c_0_1045,plain,
lhs_atom131,
c_0_820,
[final] ).
cnf(c_0_1046,plain,
lhs_atom130,
c_0_821,
[final] ).
cnf(c_0_1047,plain,
lhs_atom129,
c_0_822,
[final] ).
cnf(c_0_1048,plain,
lhs_atom128,
c_0_823,
[final] ).
cnf(c_0_1049,plain,
lhs_atom127,
c_0_824,
[final] ).
cnf(c_0_1050,plain,
lhs_atom126,
c_0_825,
[final] ).
cnf(c_0_1051,plain,
lhs_atom125,
c_0_826,
[final] ).
cnf(c_0_1052,plain,
lhs_atom124,
c_0_827,
[final] ).
cnf(c_0_1053,plain,
lhs_atom123,
c_0_828,
[final] ).
cnf(c_0_1054,plain,
lhs_atom122,
c_0_829,
[final] ).
cnf(c_0_1055,plain,
lhs_atom121,
c_0_830,
[final] ).
cnf(c_0_1056,plain,
lhs_atom120,
c_0_831,
[final] ).
cnf(c_0_1057,plain,
lhs_atom119,
c_0_832,
[final] ).
cnf(c_0_1058,plain,
lhs_atom118,
c_0_833,
[final] ).
cnf(c_0_1059,plain,
lhs_atom117,
c_0_834,
[final] ).
cnf(c_0_1060,plain,
lhs_atom116,
c_0_835,
[final] ).
cnf(c_0_1061,plain,
lhs_atom115,
c_0_836,
[final] ).
cnf(c_0_1062,plain,
lhs_atom114,
c_0_837,
[final] ).
cnf(c_0_1063,plain,
lhs_atom113,
c_0_838,
[final] ).
cnf(c_0_1064,plain,
lhs_atom112,
c_0_839,
[final] ).
cnf(c_0_1065,plain,
lhs_atom111,
c_0_840,
[final] ).
cnf(c_0_1066,plain,
lhs_atom110,
c_0_841,
[final] ).
cnf(c_0_1067,plain,
lhs_atom109,
c_0_842,
[final] ).
cnf(c_0_1068,plain,
lhs_atom108,
c_0_843,
[final] ).
cnf(c_0_1069,plain,
lhs_atom107,
c_0_844,
[final] ).
cnf(c_0_1070,plain,
lhs_atom106,
c_0_845,
[final] ).
cnf(c_0_1071,plain,
lhs_atom105,
c_0_846,
[final] ).
cnf(c_0_1072,plain,
lhs_atom104,
c_0_847,
[final] ).
cnf(c_0_1073,plain,
lhs_atom103,
c_0_848,
[final] ).
cnf(c_0_1074,plain,
lhs_atom102,
c_0_849,
[final] ).
cnf(c_0_1075,plain,
lhs_atom101,
c_0_850,
[final] ).
cnf(c_0_1076,plain,
lhs_atom100,
c_0_851,
[final] ).
cnf(c_0_1077,plain,
lhs_atom99,
c_0_852,
[final] ).
cnf(c_0_1078,plain,
lhs_atom98,
c_0_853,
[final] ).
cnf(c_0_1079,plain,
lhs_atom97,
c_0_854,
[final] ).
cnf(c_0_1080,plain,
lhs_atom96,
c_0_855,
[final] ).
cnf(c_0_1081,plain,
lhs_atom95,
c_0_856,
[final] ).
cnf(c_0_1082,plain,
lhs_atom94,
c_0_857,
[final] ).
cnf(c_0_1083,plain,
lhs_atom93,
c_0_858,
[final] ).
cnf(c_0_1084,plain,
lhs_atom92,
c_0_859,
[final] ).
cnf(c_0_1085,plain,
lhs_atom91,
c_0_860,
[final] ).
cnf(c_0_1086,plain,
lhs_atom90,
c_0_861,
[final] ).
cnf(c_0_1087,plain,
lhs_atom88,
c_0_862,
[final] ).
cnf(c_0_1088,plain,
lhs_atom87,
c_0_863,
[final] ).
cnf(c_0_1089,plain,
lhs_atom86,
c_0_864,
[final] ).
cnf(c_0_1090,plain,
lhs_atom84,
c_0_865,
[final] ).
cnf(c_0_1091,plain,
lhs_atom79,
c_0_866,
[final] ).
cnf(c_0_1092,plain,
lhs_atom78,
c_0_867,
[final] ).
cnf(c_0_1093,plain,
lhs_atom75,
c_0_868,
[final] ).
cnf(c_0_1094,plain,
lhs_atom74,
c_0_869,
[final] ).
cnf(c_0_1095,plain,
lhs_atom73,
c_0_870,
[final] ).
cnf(c_0_1096,plain,
lhs_atom72,
c_0_871,
[final] ).
cnf(c_0_1097,plain,
lhs_atom70,
c_0_872,
[final] ).
cnf(c_0_1098,plain,
lhs_atom68,
c_0_873,
[final] ).
cnf(c_0_1099,plain,
lhs_atom67,
c_0_874,
[final] ).
cnf(c_0_1100,plain,
lhs_atom66,
c_0_875,
[final] ).
cnf(c_0_1101,plain,
lhs_atom54,
c_0_876,
[final] ).
cnf(c_0_1102,plain,
lhs_atom53,
c_0_877,
[final] ).
cnf(c_0_1103,plain,
lhs_atom52,
c_0_878,
[final] ).
cnf(c_0_1104,plain,
lhs_atom51,
c_0_879,
[final] ).
cnf(c_0_1105,plain,
lhs_atom50,
c_0_880,
[final] ).
cnf(c_0_1106,plain,
lhs_atom49,
c_0_881,
[final] ).
cnf(c_0_1107,plain,
lhs_atom48,
c_0_882,
[final] ).
cnf(c_0_1108,plain,
lhs_atom47,
c_0_883,
[final] ).
cnf(c_0_1109,plain,
lhs_atom46,
c_0_884,
[final] ).
cnf(c_0_1110,plain,
lhs_atom45,
c_0_885,
[final] ).
cnf(c_0_1111,plain,
lhs_atom37,
c_0_886,
[final] ).
cnf(c_0_1112,plain,
lhs_atom36,
c_0_887,
[final] ).
cnf(c_0_1113,plain,
lhs_atom35,
c_0_888,
[final] ).
cnf(c_0_1114,plain,
lhs_atom34,
c_0_889,
[final] ).
cnf(c_0_1115,plain,
lhs_atom33,
c_0_890,
[final] ).
cnf(c_0_1116,plain,
lhs_atom28,
c_0_891,
[final] ).
cnf(c_0_1117,plain,
lhs_atom20,
c_0_892,
[final] ).
cnf(c_0_1118,plain,
lhs_atom19,
c_0_893,
[final] ).
cnf(c_0_1119,plain,
lhs_atom12,
c_0_894,
[final] ).
cnf(c_0_1120,plain,
lhs_atom8,
c_0_895,
[final] ).
cnf(c_0_1121,plain,
lhs_atom6,
c_0_896,
[final] ).
cnf(c_0_1122,plain,
lhs_atom5,
c_0_897,
[final] ).
cnf(c_0_1123,plain,
lhs_atom4,
c_0_898,
[final] ).
cnf(c_0_1124,plain,
lhs_atom1,
c_0_899,
[final] ).
% End CNF derivation
cnf(c_0_900_0,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_900,def_lhs_atom64]) ).
cnf(c_0_901_0,axiom,
c_HOL_Ominus__class_Ominus(hAPP(X1,X3),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ominus__class_Ominus(hAPP(X1,X2),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal),c_HOL_Ominus__class_Ominus(X2,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_901,def_lhs_atom41]) ).
cnf(c_0_902_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_902,def_lhs_atom18]) ).
cnf(c_0_903_0,axiom,
c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),X3,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_903,def_lhs_atom17]) ).
cnf(c_0_904_0,axiom,
c_Int_OBit0(X2) != c_Int_OBit1(X1),
inference(unfold_definition,[status(thm)],[c_0_904,def_lhs_atom89]) ).
cnf(c_0_905_0,axiom,
c_Int_OBit1(X2) != c_Int_OBit0(X1),
inference(unfold_definition,[status(thm)],[c_0_905,def_lhs_atom85]) ).
cnf(c_0_906_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_906,def_lhs_atom77]) ).
cnf(c_0_907_0,axiom,
c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_907,def_lhs_atom76]) ).
cnf(c_0_908_0,axiom,
c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_908,def_lhs_atom71]) ).
cnf(c_0_909_0,axiom,
c_NthRoot_Osqrt(c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(X2),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_909,def_lhs_atom59]) ).
cnf(c_0_910_0,axiom,
c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_910,def_lhs_atom58]) ).
cnf(c_0_911_0,axiom,
c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_911,def_lhs_atom44]) ).
cnf(c_0_912_0,axiom,
c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_912,def_lhs_atom42]) ).
cnf(c_0_913_0,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
inference(unfold_definition,[status(thm)],[c_0_913,def_lhs_atom32]) ).
cnf(c_0_914_0,axiom,
c_lessequals(X2,c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_914,def_lhs_atom31]) ).
cnf(c_0_915_0,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_915,def_lhs_atom30]) ).
cnf(c_0_916_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_NthRoot_Osqrt(X2),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_916,def_lhs_atom29]) ).
cnf(c_0_917_0,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_917,def_lhs_atom25]) ).
cnf(c_0_918_0,axiom,
c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal) = c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_918,def_lhs_atom24]) ).
cnf(c_0_919_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_919,def_lhs_atom22]) ).
cnf(c_0_920_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_920,def_lhs_atom21]) ).
cnf(c_0_921_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_921,def_lhs_atom16]) ).
cnf(c_0_922_0,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_922,def_lhs_atom14]) ).
cnf(c_0_923_0,axiom,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_923,def_lhs_atom10]) ).
cnf(c_0_924_0,axiom,
c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_924,def_lhs_atom9]) ).
cnf(c_0_925_0,axiom,
c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(X2,X1,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Transcendental_Osin(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X2),c_Transcendental_Osin(X1),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_925,def_lhs_atom2]) ).
cnf(c_0_926_0,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_926,def_lhs_atom83]) ).
cnf(c_0_927_0,axiom,
c_Int_OPls != c_Int_OBit1(X1),
inference(unfold_definition,[status(thm)],[c_0_927,def_lhs_atom82]) ).
cnf(c_0_928_0,axiom,
c_HOL_Ominus__class_Ominus(X1,c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_928,def_lhs_atom81]) ).
cnf(c_0_929_0,axiom,
c_Int_OBit1(X1) != c_Int_OPls,
inference(unfold_definition,[status(thm)],[c_0_929,def_lhs_atom80]) ).
cnf(c_0_930_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = X1,
inference(unfold_definition,[status(thm)],[c_0_930,def_lhs_atom69]) ).
cnf(c_0_931_0,axiom,
c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_931,def_lhs_atom65]) ).
cnf(c_0_932_0,axiom,
c_Transcendental_Otan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Otan(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_932,def_lhs_atom63]) ).
cnf(c_0_933_0,axiom,
c_Transcendental_Osin(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_933,def_lhs_atom62]) ).
cnf(c_0_934_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_NthRoot_Osqrt(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_934,def_lhs_atom61]) ).
cnf(c_0_935_0,axiom,
c_Transcendental_Ocos(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
inference(unfold_definition,[status(thm)],[c_0_935,def_lhs_atom60]) ).
cnf(c_0_936_0,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
inference(unfold_definition,[status(thm)],[c_0_936,def_lhs_atom57]) ).
cnf(c_0_937_0,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Ocos(X1),
inference(unfold_definition,[status(thm)],[c_0_937,def_lhs_atom56]) ).
cnf(c_0_938_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_Transcendental_Osin(X1),
inference(unfold_definition,[status(thm)],[c_0_938,def_lhs_atom55]) ).
cnf(c_0_939_0,axiom,
c_lessequals(c_HOL_Ouminus__class_Ouminus(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_939,def_lhs_atom43]) ).
cnf(c_0_940_0,axiom,
c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_940,def_lhs_atom40]) ).
cnf(c_0_941_0,axiom,
c_Transcendental_Ocos(X1) = c_Transcendental_Osin(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),
inference(unfold_definition,[status(thm)],[c_0_941,def_lhs_atom39]) ).
cnf(c_0_942_0,axiom,
c_Transcendental_Osin(X1) = c_Transcendental_Ocos(c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)),
inference(unfold_definition,[status(thm)],[c_0_942,def_lhs_atom38]) ).
cnf(c_0_943_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_943,def_lhs_atom27]) ).
cnf(c_0_944_0,axiom,
c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(c_Transcendental_Opi,X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_944,def_lhs_atom26]) ).
cnf(c_0_945_0,axiom,
c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_945,def_lhs_atom23]) ).
cnf(c_0_946_0,axiom,
c_Transcendental_Otan(X1) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(X1),c_Transcendental_Ocos(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_946,def_lhs_atom15]) ).
cnf(c_0_947_0,axiom,
c_Transcendental_Otan(c_HOL_Oplus__class_Oplus(X1,c_Transcendental_Opi,tc_RealDef_Oreal)) = c_Transcendental_Otan(X1),
inference(unfold_definition,[status(thm)],[c_0_947,def_lhs_atom13]) ).
cnf(c_0_948_0,axiom,
c_NthRoot_Osqrt(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal)) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_948,def_lhs_atom11]) ).
cnf(c_0_949_0,axiom,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_949,def_lhs_atom7]) ).
cnf(c_0_950_0,axiom,
c_HOL_Ouminus__class_Ouminus(c_Transcendental_Osin(X1),tc_RealDef_Oreal) = c_Transcendental_Ocos(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)),
inference(unfold_definition,[status(thm)],[c_0_950,def_lhs_atom3]) ).
cnf(c_0_951_0,axiom,
class_Int_Onumber(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_951,def_lhs_atom225]) ).
cnf(c_0_952_0,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_952,def_lhs_atom224]) ).
cnf(c_0_953_0,axiom,
class_Int_Oring__char__0(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_953,def_lhs_atom223]) ).
cnf(c_0_954_0,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_954,def_lhs_atom222]) ).
cnf(c_0_955_0,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_955,def_lhs_atom221]) ).
cnf(c_0_956_0,axiom,
class_Ring__and__Field_Ofield(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_956,def_lhs_atom220]) ).
cnf(c_0_957_0,axiom,
class_RealVector_Oreal__field(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_957,def_lhs_atom219]) ).
cnf(c_0_958_0,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_958,def_lhs_atom218]) ).
cnf(c_0_959_0,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_959,def_lhs_atom217]) ).
cnf(c_0_960_0,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_960,def_lhs_atom216]) ).
cnf(c_0_961_0,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_961,def_lhs_atom215]) ).
cnf(c_0_962_0,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_962,def_lhs_atom214]) ).
cnf(c_0_963_0,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_963,def_lhs_atom213]) ).
cnf(c_0_964_0,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_964,def_lhs_atom212]) ).
cnf(c_0_965_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_965,def_lhs_atom211]) ).
cnf(c_0_966_0,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_966,def_lhs_atom210]) ).
cnf(c_0_967_0,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_967,def_lhs_atom209]) ).
cnf(c_0_968_0,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_968,def_lhs_atom208]) ).
cnf(c_0_969_0,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_969,def_lhs_atom207]) ).
cnf(c_0_970_0,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_970,def_lhs_atom206]) ).
cnf(c_0_971_0,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_971,def_lhs_atom205]) ).
cnf(c_0_972_0,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_972,def_lhs_atom204]) ).
cnf(c_0_973_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_973,def_lhs_atom203]) ).
cnf(c_0_974_0,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_974,def_lhs_atom202]) ).
cnf(c_0_975_0,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_975,def_lhs_atom201]) ).
cnf(c_0_976_0,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_976,def_lhs_atom200]) ).
cnf(c_0_977_0,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_977,def_lhs_atom199]) ).
cnf(c_0_978_0,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_978,def_lhs_atom198]) ).
cnf(c_0_979_0,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_979,def_lhs_atom197]) ).
cnf(c_0_980_0,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_980,def_lhs_atom196]) ).
cnf(c_0_981_0,axiom,
class_Int_Onumber(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_981,def_lhs_atom195]) ).
cnf(c_0_982_0,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_982,def_lhs_atom194]) ).
cnf(c_0_983_0,axiom,
class_Int_Oring__char__0(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_983,def_lhs_atom193]) ).
cnf(c_0_984_0,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_984,def_lhs_atom192]) ).
cnf(c_0_985_0,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_985,def_lhs_atom191]) ).
cnf(c_0_986_0,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_986,def_lhs_atom190]) ).
cnf(c_0_987_0,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_987,def_lhs_atom189]) ).
cnf(c_0_988_0,axiom,
class_Ring__and__Field_Oring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_988,def_lhs_atom188]) ).
cnf(c_0_989_0,axiom,
class_Ring__and__Field_Ofield(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_989,def_lhs_atom187]) ).
cnf(c_0_990_0,axiom,
class_RealVector_Oreal__field(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_990,def_lhs_atom186]) ).
cnf(c_0_991_0,axiom,
class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_991,def_lhs_atom185]) ).
cnf(c_0_992_0,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_992,def_lhs_atom184]) ).
cnf(c_0_993_0,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_993,def_lhs_atom183]) ).
cnf(c_0_994_0,axiom,
class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_994,def_lhs_atom182]) ).
cnf(c_0_995_0,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_995,def_lhs_atom181]) ).
cnf(c_0_996_0,axiom,
class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_996,def_lhs_atom180]) ).
cnf(c_0_997_0,axiom,
class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_997,def_lhs_atom179]) ).
cnf(c_0_998_0,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_998,def_lhs_atom178]) ).
cnf(c_0_999_0,axiom,
class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_999,def_lhs_atom177]) ).
cnf(c_0_1000_0,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1000,def_lhs_atom176]) ).
cnf(c_0_1001_0,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1001,def_lhs_atom175]) ).
cnf(c_0_1002_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1002,def_lhs_atom174]) ).
cnf(c_0_1003_0,axiom,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1003,def_lhs_atom173]) ).
cnf(c_0_1004_0,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1004,def_lhs_atom172]) ).
cnf(c_0_1005_0,axiom,
class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1005,def_lhs_atom171]) ).
cnf(c_0_1006_0,axiom,
class_Ring__and__Field_Oordered__field(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1006,def_lhs_atom170]) ).
cnf(c_0_1007_0,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1007,def_lhs_atom169]) ).
cnf(c_0_1008_0,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1008,def_lhs_atom168]) ).
cnf(c_0_1009_0,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1009,def_lhs_atom167]) ).
cnf(c_0_1010_0,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1010,def_lhs_atom166]) ).
cnf(c_0_1011_0,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1011,def_lhs_atom165]) ).
cnf(c_0_1012_0,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1012,def_lhs_atom164]) ).
cnf(c_0_1013_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1013,def_lhs_atom163]) ).
cnf(c_0_1014_0,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1014,def_lhs_atom162]) ).
cnf(c_0_1015_0,axiom,
class_Ring__and__Field_Odivision__by__zero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1015,def_lhs_atom161]) ).
cnf(c_0_1016_0,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1016,def_lhs_atom160]) ).
cnf(c_0_1017_0,axiom,
class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1017,def_lhs_atom159]) ).
cnf(c_0_1018_0,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1018,def_lhs_atom158]) ).
cnf(c_0_1019_0,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1019,def_lhs_atom157]) ).
cnf(c_0_1020_0,axiom,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1020,def_lhs_atom156]) ).
cnf(c_0_1021_0,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1021,def_lhs_atom155]) ).
cnf(c_0_1022_0,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1022,def_lhs_atom154]) ).
cnf(c_0_1023_0,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1023,def_lhs_atom153]) ).
cnf(c_0_1024_0,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1024,def_lhs_atom152]) ).
cnf(c_0_1025_0,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1025,def_lhs_atom151]) ).
cnf(c_0_1026_0,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1026,def_lhs_atom150]) ).
cnf(c_0_1027_0,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1027,def_lhs_atom149]) ).
cnf(c_0_1028_0,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1028,def_lhs_atom148]) ).
cnf(c_0_1029_0,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1029,def_lhs_atom147]) ).
cnf(c_0_1030_0,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1030,def_lhs_atom146]) ).
cnf(c_0_1031_0,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1031,def_lhs_atom145]) ).
cnf(c_0_1032_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1032,def_lhs_atom144]) ).
cnf(c_0_1033_0,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1033,def_lhs_atom143]) ).
cnf(c_0_1034_0,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1034,def_lhs_atom142]) ).
cnf(c_0_1035_0,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1035,def_lhs_atom141]) ).
cnf(c_0_1036_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1036,def_lhs_atom140]) ).
cnf(c_0_1037_0,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1037,def_lhs_atom139]) ).
cnf(c_0_1038_0,axiom,
class_Int_Onumber(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1038,def_lhs_atom138]) ).
cnf(c_0_1039_0,axiom,
class_Int_Onumber__ring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1039,def_lhs_atom137]) ).
cnf(c_0_1040_0,axiom,
class_Int_Oring__char__0(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1040,def_lhs_atom136]) ).
cnf(c_0_1041_0,axiom,
class_Orderings_Oorder(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1041,def_lhs_atom135]) ).
cnf(c_0_1042_0,axiom,
class_Orderings_Olinorder(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1042,def_lhs_atom134]) ).
cnf(c_0_1043_0,axiom,
class_Orderings_Opreorder(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1043,def_lhs_atom133]) ).
cnf(c_0_1044_0,axiom,
class_Ring__and__Field_Oidom(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1044,def_lhs_atom132]) ).
cnf(c_0_1045_0,axiom,
class_Ring__and__Field_Oring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1045,def_lhs_atom131]) ).
cnf(c_0_1046_0,axiom,
class_Ring__and__Field_Oabs__if(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1046,def_lhs_atom130]) ).
cnf(c_0_1047_0,axiom,
class_OrderedGroup_Ogroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1047,def_lhs_atom129]) ).
cnf(c_0_1048_0,axiom,
class_OrderedGroup_Omonoid__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1048,def_lhs_atom128]) ).
cnf(c_0_1049_0,axiom,
class_Ring__and__Field_Osemiring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1049,def_lhs_atom127]) ).
cnf(c_0_1050_0,axiom,
class_OrderedGroup_Omonoid__mult(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1050,def_lhs_atom126]) ).
cnf(c_0_1051_0,axiom,
class_Ring__and__Field_Omult__mono(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1051,def_lhs_atom125]) ).
cnf(c_0_1052_0,axiom,
class_Ring__and__Field_Omult__zero(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1052,def_lhs_atom124]) ).
cnf(c_0_1053_0,axiom,
class_OrderedGroup_Oab__group__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1053,def_lhs_atom123]) ).
cnf(c_0_1054_0,axiom,
class_Ring__and__Field_Omult__mono1(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1054,def_lhs_atom122]) ).
cnf(c_0_1055_0,axiom,
class_Ring__and__Field_Oordered__idom(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1055,def_lhs_atom121]) ).
cnf(c_0_1056_0,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1056,def_lhs_atom120]) ).
cnf(c_0_1057_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1057,def_lhs_atom119]) ).
cnf(c_0_1058_0,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1058,def_lhs_atom118]) ).
cnf(c_0_1059_0,axiom,
class_Ring__and__Field_Olordered__ring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1059,def_lhs_atom117]) ).
cnf(c_0_1060_0,axiom,
class_Ring__and__Field_Opordered__ring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1060,def_lhs_atom116]) ).
cnf(c_0_1061_0,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1061,def_lhs_atom115]) ).
cnf(c_0_1062_0,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1062,def_lhs_atom114]) ).
cnf(c_0_1063_0,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1063,def_lhs_atom113]) ).
cnf(c_0_1064_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1064,def_lhs_atom112]) ).
cnf(c_0_1065_0,axiom,
class_Ring__and__Field_Oordered__semidom(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1065,def_lhs_atom111]) ).
cnf(c_0_1066_0,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1066,def_lhs_atom110]) ).
cnf(c_0_1067_0,axiom,
class_Ring__and__Field_Oordered__semiring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1067,def_lhs_atom109]) ).
cnf(c_0_1068_0,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1068,def_lhs_atom108]) ).
cnf(c_0_1069_0,axiom,
class_Ring__and__Field_Opordered__semiring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1069,def_lhs_atom107]) ).
cnf(c_0_1070_0,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1070,def_lhs_atom106]) ).
cnf(c_0_1071_0,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1071,def_lhs_atom105]) ).
cnf(c_0_1072_0,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1072,def_lhs_atom104]) ).
cnf(c_0_1073_0,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1073,def_lhs_atom103]) ).
cnf(c_0_1074_0,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1074,def_lhs_atom102]) ).
cnf(c_0_1075_0,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1075,def_lhs_atom101]) ).
cnf(c_0_1076_0,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1076,def_lhs_atom100]) ).
cnf(c_0_1077_0,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1077,def_lhs_atom99]) ).
cnf(c_0_1078_0,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1078,def_lhs_atom98]) ).
cnf(c_0_1079_0,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1079,def_lhs_atom97]) ).
cnf(c_0_1080_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1080,def_lhs_atom96]) ).
cnf(c_0_1081_0,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1081,def_lhs_atom95]) ).
cnf(c_0_1082_0,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1082,def_lhs_atom94]) ).
cnf(c_0_1083_0,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1083,def_lhs_atom93]) ).
cnf(c_0_1084_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1084,def_lhs_atom92]) ).
cnf(c_0_1085_0,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Int_Oint),
inference(unfold_definition,[status(thm)],[c_0_1085,def_lhs_atom91]) ).
cnf(c_0_1086_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1086,def_lhs_atom90]) ).
cnf(c_0_1087_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1087,def_lhs_atom88]) ).
cnf(c_0_1088_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1088,def_lhs_atom87]) ).
cnf(c_0_1089_0,axiom,
c_Int_OPls = c_Int_OBit0(c_Int_OPls),
inference(unfold_definition,[status(thm)],[c_0_1089,def_lhs_atom86]) ).
cnf(c_0_1090_0,axiom,
c_Int_OBit0(c_Int_OPls) = c_Int_OPls,
inference(unfold_definition,[status(thm)],[c_0_1090,def_lhs_atom84]) ).
cnf(c_0_1091_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1091,def_lhs_atom79]) ).
cnf(c_0_1092_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1092,def_lhs_atom78]) ).
cnf(c_0_1093_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1093,def_lhs_atom75]) ).
cnf(c_0_1094_0,axiom,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1094,def_lhs_atom74]) ).
cnf(c_0_1095_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1095,def_lhs_atom73]) ).
cnf(c_0_1096_0,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1096,def_lhs_atom72]) ).
cnf(c_0_1097_0,axiom,
c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) != c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1097,def_lhs_atom70]) ).
cnf(c_0_1098_0,axiom,
c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1098,def_lhs_atom68]) ).
cnf(c_0_1099_0,axiom,
c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1099,def_lhs_atom67]) ).
cnf(c_0_1100_0,axiom,
c_Transcendental_Otan(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),
inference(unfold_definition,[status(thm)],[c_0_1100,def_lhs_atom66]) ).
cnf(c_0_1101_0,axiom,
c_Transcendental_Osin(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1101,def_lhs_atom54]) ).
cnf(c_0_1102_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1102,def_lhs_atom53]) ).
cnf(c_0_1103_0,axiom,
c_Transcendental_Opi != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1103,def_lhs_atom52]) ).
cnf(c_0_1104_0,axiom,
c_Transcendental_Otan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1104,def_lhs_atom51]) ).
cnf(c_0_1105_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1105,def_lhs_atom50]) ).
cnf(c_0_1106_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1106,def_lhs_atom49]) ).
cnf(c_0_1107_0,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1107,def_lhs_atom48]) ).
cnf(c_0_1108_0,axiom,
c_lessequals(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1108,def_lhs_atom47]) ).
cnf(c_0_1109_0,axiom,
c_lessequals(c_Transcendental_Ocos(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1109,def_lhs_atom46]) ).
cnf(c_0_1110_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1110,def_lhs_atom45]) ).
cnf(c_0_1111_0,axiom,
c_Transcendental_Ocos(c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1111,def_lhs_atom37]) ).
cnf(c_0_1112_0,axiom,
c_lessequals(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1112,def_lhs_atom36]) ).
cnf(c_0_1113_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1113,def_lhs_atom35]) ).
cnf(c_0_1114_0,axiom,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1114,def_lhs_atom34]) ).
cnf(c_0_1115_0,axiom,
~ c_HOL_Oord__class_Oless(c_Transcendental_Opi,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1115,def_lhs_atom33]) ).
cnf(c_0_1116_0,axiom,
c_Transcendental_Osin(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1116,def_lhs_atom28]) ).
cnf(c_0_1117_0,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1117,def_lhs_atom20]) ).
cnf(c_0_1118_0,axiom,
c_Transcendental_Ocos(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1118,def_lhs_atom19]) ).
cnf(c_0_1119_0,axiom,
c_Transcendental_Otan(c_Transcendental_Opi) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1119,def_lhs_atom12]) ).
cnf(c_0_1120_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1120,def_lhs_atom8]) ).
cnf(c_0_1121_0,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1121,def_lhs_atom6]) ).
cnf(c_0_1122_0,axiom,
c_Transcendental_Osin(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit0(c_Int_OBit1(c_Int_OPls))),tc_RealDef_Oreal),tc_RealDef_Oreal)) = c_HOL_Oinverse__class_Odivide(c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1122,def_lhs_atom5]) ).
cnf(c_0_1123_0,axiom,
c_Transcendental_Osin(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),c_Transcendental_Opi,tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1123,def_lhs_atom4]) ).
cnf(c_0_1124_0,axiom,
c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_1124,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X16] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X16,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X16,tc_RealDef_Oreal) ),
file('<stdin>',cls_that_2) ).
fof(c_0_1_002,axiom,
! [X1] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('<stdin>',cls_CHAINED_1) ).
fof(c_0_2_003,axiom,
! [X7,X5,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X3,X4),c_HOL_Ominus__class_Ominus(X7,X2,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X3,X4),X2,X4),X4),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(X7,X2,X4),X4),X4) ),
file('<stdin>',cls_mult_Oprod__diff__prod_0) ).
fof(c_0_3_004,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X7),c_Transcendental_Otan(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_tan__monotone_H_1) ).
fof(c_0_4_005,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X7),c_Transcendental_Otan(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_tan__monotone_H_0) ).
fof(c_0_5_006,axiom,
! [X16] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X16,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X16,tc_RealDef_Oreal) ),
file('<stdin>',cls_that_0) ).
fof(c_0_6_007,axiom,
! [X16] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X16,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X16,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X16,tc_RealDef_Oreal) ),
file('<stdin>',cls_that_1) ).
fof(c_0_7_008,axiom,
! [X11,X1,X18,X19] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X18,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(X18,X11,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X19,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X11,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X19,X18,X11),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X11,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X19,tc_RealDef_Oreal) ),
file('<stdin>',cls_poly__cont_1) ).
fof(c_0_8_009,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X15,X16,X4),X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X15,X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X16,X4),X4),X4),X4) ),
file('<stdin>',cls_abs__diff__triangle__ineq_0) ).
fof(c_0_9_010,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X15,X16,X4),X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X15,X4),X4),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X16,X4),X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__diff__triangle__ineq_0) ).
fof(c_0_10_011,axiom,
! [X21,X16,X15,X2,X3,X4] :
( ~ class_RealVector_Oreal__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X15,X16,X4),X4),X21,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X16,X4),X21,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X15,X4),X21,X4),X16,X4),X4) ),
file('<stdin>',cls_DERIV__mult__lemma_0) ).
fof(c_0_11_012,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4)
| ~ c_lessequals(X15,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4) ),
file('<stdin>',cls_le__add__iff2_1) ).
fof(c_0_12_013,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X16,X4) ),
file('<stdin>',cls_le__add__iff1_1) ).
fof(c_0_13_014,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4) ),
file('<stdin>',cls_less__add__iff2_1) ).
fof(c_0_14_015,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X16,X4) ),
file('<stdin>',cls_less__add__iff1_1) ).
fof(c_0_15_016,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(X15,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4) ),
file('<stdin>',cls_le__add__iff2_0) ).
fof(c_0_16_017,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X16,X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4) ),
file('<stdin>',cls_le__add__iff1_0) ).
fof(c_0_17_018,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4) ),
file('<stdin>',cls_less__add__iff2_0) ).
fof(c_0_18_019,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X16,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4) ),
file('<stdin>',cls_less__add__iff1_0) ).
fof(c_0_19_020,axiom,
! [X7,X5] :
( c_lessequals(c_Transcendental_Osin(X7),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_sin__monotone__2pi_H_0) ).
fof(c_0_20_021,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X7),c_Transcendental_Otan(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_tan__monotone_0) ).
fof(c_0_21_022,axiom,
! [X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_cos__ge__zero_0) ).
fof(c_0_22_023,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_cos__gt__zero__pi_0) ).
fof(c_0_23_024,axiom,
! [X7,X5] :
( c_lessequals(X5,c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__add__half__cancel_0) ).
fof(c_0_24_025,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),X4) ),
file('<stdin>',cls_sum__squares__gt__zero__iff_0) ).
fof(c_0_25_026,axiom,
! [X19,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X4) ),
file('<stdin>',cls_eq__add__iff1_1) ).
fof(c_0_26_027,axiom,
! [X19,X16,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4) ),
file('<stdin>',cls_eq__add__iff2_1) ).
fof(c_0_27_028,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_8) ).
fof(c_0_28_029,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_8) ).
fof(c_0_29_030,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_8) ).
fof(c_0_30_031,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_8) ).
fof(c_0_31_032,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of_9) ).
fof(c_0_32_033,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq__number__of_9) ).
fof(c_0_33_034,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of_9) ).
fof(c_0_34_035,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq__number__of_9) ).
fof(c_0_35_036,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_9) ).
fof(c_0_36_037,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_9) ).
fof(c_0_37_038,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_9) ).
fof(c_0_38_039,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_9) ).
fof(c_0_39_040,axiom,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X1,X11,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X11,X4),c_HOL_Otimes__class_Otimes(X1,X7,X4),X4),c_HOL_Otimes__class_Otimes(X7,X11,X4),X4)
| X11 = c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_add__frac__eq_0) ).
fof(c_0_40_041,axiom,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X1,X11,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X11,X4),c_HOL_Otimes__class_Otimes(X1,X7,X4),X4),c_HOL_Otimes__class_Otimes(X7,X11,X4),X4)
| X11 = c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_diff__frac__eq_0) ).
fof(c_0_41_042,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq__number__of_8) ).
fof(c_0_42_043,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of_8) ).
fof(c_0_43_044,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of_8) ).
fof(c_0_44_045,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq__number__of_8) ).
fof(c_0_45_046,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__add__half__cancel_1) ).
fof(c_0_46_047,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_sum__squares__le__zero__iff_1) ).
fof(c_0_47_048,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_sum__squares__le__zero__iff_0) ).
fof(c_0_48_049,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_not__sum__squares__lt__zero_0) ).
fof(c_0_49_050,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4)
| X15 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4) ),
file('<stdin>',cls_eq__add__iff2_0) ).
fof(c_0_50_051,axiom,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4) = X16 ),
file('<stdin>',cls_eq__add__iff1_0) ).
fof(c_0_51_052,axiom,
! [X19,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Osemiring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X15,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X19,X4),X15,X4) ),
file('<stdin>',cls_combine__common__factor_0) ).
fof(c_0_52_053,axiom,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X7,X4),c_HOL_Otimes__class_Otimes(X5,X11,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X11,X4),c_HOL_Otimes__class_Otimes(X5,X7,X4),X4)
| X7 = X11
| X1 = X5 ),
file('<stdin>',cls_class__ringb_Oadd__mul__solve_0) ).
fof(c_0_53_054,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| X15 = X16
| X3 = X2 ),
file('<stdin>',cls_class__ringb_Onoteq__reduce_0) ).
fof(c_0_54_055,axiom,
! [X5,X6,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X6,X4)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X3,X6,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X6,X4),X5,X4) ),
file('<stdin>',cls_abs__diff__less__iff_2) ).
fof(c_0_55_056,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_1) ).
fof(c_0_56_057,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_4) ).
fof(c_0_57_058,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_1) ).
fof(c_0_58_059,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_4) ).
fof(c_0_59_060,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_1) ).
fof(c_0_60_061,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_4) ).
fof(c_0_61_062,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_1) ).
fof(c_0_62_063,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_4) ).
fof(c_0_63_064,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq_9) ).
fof(c_0_64_065,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
file('<stdin>',cls_divide__le__eq_9) ).
fof(c_0_65_066,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
file('<stdin>',cls_divide__less__eq_8) ).
fof(c_0_66_067,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
file('<stdin>',cls_divide__less__eq_9) ).
fof(c_0_67_068,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq_8) ).
fof(c_0_68_069,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq_9) ).
fof(c_0_69_070,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq_8) ).
fof(c_0_70_071,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
file('<stdin>',cls_divide__le__eq_8) ).
fof(c_0_71_072,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_7) ).
fof(c_0_72_073,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_7) ).
fof(c_0_73_074,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_5) ).
fof(c_0_74_075,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_5) ).
fof(c_0_75_076,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_7) ).
fof(c_0_76_077,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_7) ).
fof(c_0_77_078,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_5) ).
fof(c_0_78_079,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_5) ).
fof(c_0_79_080,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),X4) ),
file('<stdin>',cls_abs__triangle__ineq3_0) ).
fof(c_0_80_081,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq__number__of_7) ).
fof(c_0_81_082,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_le__divide__eq__number__of_5) ).
fof(c_0_82_083,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of_7) ).
fof(c_0_83_084,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__le__eq__number__of_5) ).
fof(c_0_84_085,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__less__eq__number__of_5) ).
fof(c_0_85_086,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of_7) ).
fof(c_0_86_087,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_less__divide__eq__number__of_5) ).
fof(c_0_87_088,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq__number__of_7) ).
fof(c_0_88_089,axiom,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__triangle__ineq3_0) ).
fof(c_0_89_090,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_less__half__sum_0) ).
fof(c_0_90_091,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_gt__half__sum_0) ).
fof(c_0_91_092,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X15,X3,X4),c_HOL_Oinverse__class_Odivide(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_divide__left__mono__neg_0) ).
fof(c_0_92_093,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X15,X3,X4),c_HOL_Oinverse__class_Odivide(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
file('<stdin>',cls_divide__strict__left__mono_0) ).
fof(c_0_93_094,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X15,X3,X4),c_HOL_Oinverse__class_Odivide(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_divide__strict__left__mono__neg_0) ).
fof(c_0_94_095,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X15,X3,X4),c_HOL_Oinverse__class_Odivide(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X2,X3,X4) ),
file('<stdin>',cls_divide__left__mono_0) ).
fof(c_0_95_096,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_0) ).
fof(c_0_96_097,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_6) ).
fof(c_0_97_098,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_0) ).
fof(c_0_98_099,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_6) ).
fof(c_0_99_100,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_0) ).
fof(c_0_100_101,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_6) ).
fof(c_0_101_102,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_0) ).
fof(c_0_102_103,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_6) ).
fof(c_0_103_104,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__le__eq__number__of_4) ).
fof(c_0_104_105,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_le__divide__eq__number__of_4) ).
fof(c_0_105_106,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__less__eq__number__of_4) ).
fof(c_0_106_107,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_less__divide__eq__number__of_4) ).
fof(c_0_107_108,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_sum__squares__le__zero__iff_2) ).
fof(c_0_108_109,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of_1) ).
fof(c_0_109_110,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_le__divide__eq__number__of_1) ).
fof(c_0_110_111,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of_1) ).
fof(c_0_111_112,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_less__divide__eq__number__of_1) ).
fof(c_0_112_113,axiom,
! [X7,X5,X20,X6,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4),c_HOL_Otimes__class_Otimes(X6,X20,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X7,X4),X20,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),X6,tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__mult__less_0) ).
fof(c_0_113_114,axiom,
! [X7,X5,X20,X6,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X7,X4),X4),c_HOL_Oplus__class_Oplus(X6,X20,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X7,X4),X20,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),X6,tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__add__less_0) ).
fof(c_0_114_115,axiom,
! [X29,X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(X30,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),X29,X4),X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I15_J_0) ).
fof(c_0_115_116,axiom,
! [X29,X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X30,X29,X4),X4),X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I14_J_0) ).
fof(c_0_116_117,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq__number__of_6) ).
fof(c_0_117_118,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of_6) ).
fof(c_0_118_119,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq__number__of_6) ).
fof(c_0_119_120,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of_6) ).
fof(c_0_120_121,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_mult__mono_H_0) ).
fof(c_0_121_122,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_mult__mono_0) ).
fof(c_0_122_123,axiom,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X11,X4),c_HOL_Oinverse__class_Odivide(X7,X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,X11,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X1,X4)
| ~ c_lessequals(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_frac__less2_0) ).
fof(c_0_123_124,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_mult__less__le__imp__less_0) ).
fof(c_0_124_125,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_mult__le__less__imp__less_0) ).
fof(c_0_125_126,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_mult__strict__mono_H_0) ).
fof(c_0_126_127,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_mult__strict__mono_0) ).
fof(c_0_127_128,axiom,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X11,X4),c_HOL_Oinverse__class_Odivide(X7,X1,X4),X4)
| ~ c_lessequals(X1,X11,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_frac__less_0) ).
fof(c_0_128_129,axiom,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X11,X4),c_HOL_Oinverse__class_Odivide(X7,X1,X4),X4)
| ~ c_lessequals(X1,X11,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X1,X4)
| ~ c_lessequals(X5,X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_frac__le_0) ).
fof(c_0_129_130,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),c_HOL_Otimes__class_Otimes(X15,X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X4),X16,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X15,X4) ),
file('<stdin>',cls_abs__mult__less_0) ).
fof(c_0_130_131,axiom,
! [X5,X6,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X3,X6,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X6,X4) ),
file('<stdin>',cls_abs__diff__less__iff_1) ).
fof(c_0_131_132,axiom,
! [X5,X6,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X6,X4),X5,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X6,X4) ),
file('<stdin>',cls_abs__diff__less__iff_0) ).
fof(c_0_132_133,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_le__divide__eq__number__of_0) ).
fof(c_0_133_134,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of_0) ).
fof(c_0_134_135,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_less__divide__eq__number__of_0) ).
fof(c_0_135_136,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of_0) ).
fof(c_0_136_137,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_tan__less__zero_0) ).
fof(c_0_137_138,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Osin(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_sin__less__zero_0) ).
fof(c_0_138_139,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_sum__squares__gt__zero__iff_2) ).
fof(c_0_139_140,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_sum__squares__gt__zero__iff_1) ).
fof(c_0_140_141,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4) ),
file('<stdin>',cls_sum__squares__ge__zero_0) ).
fof(c_0_141_142,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_2) ).
fof(c_0_142_143,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_2) ).
fof(c_0_143_144,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_2) ).
fof(c_0_144_145,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_2) ).
fof(c_0_145_146,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
file('<stdin>',cls_divide__less__eq_1) ).
fof(c_0_146_147,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__less__eq_4) ).
fof(c_0_147_148,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__less__eq_5) ).
fof(c_0_148_149,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
file('<stdin>',cls_divide__less__eq_7) ).
fof(c_0_149_150,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_less__divide__eq_1) ).
fof(c_0_150_151,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_less__divide__eq_4) ).
fof(c_0_151_152,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_less__divide__eq_5) ).
fof(c_0_152_153,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq_7) ).
fof(c_0_153_154,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_le__divide__eq_4) ).
fof(c_0_154_155,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_le__divide__eq_1) ).
fof(c_0_155_156,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__le__eq_4) ).
fof(c_0_156_157,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
file('<stdin>',cls_divide__le__eq_1) ).
fof(c_0_157_158,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq_7) ).
fof(c_0_158_159,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_le__divide__eq_5) ).
fof(c_0_159_160,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
file('<stdin>',cls_divide__le__eq_7) ).
fof(c_0_160_161,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__le__eq_5) ).
fof(c_0_161_162,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__less__cancel__left__neg_0) ).
fof(c_0_162_163,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_mult__less__cancel__left__pos_0) ).
fof(c_0_163_164,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_mult__less__imp__less__right_0) ).
fof(c_0_164_165,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
file('<stdin>',cls_mult__less__imp__less__left_0) ).
fof(c_0_165_166,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_mult__right__less__imp__less_0) ).
fof(c_0_166_167,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
file('<stdin>',cls_mult__left__less__imp__less_0) ).
fof(c_0_167_168,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_lessequals(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_mult__right__le__imp__le_0) ).
fof(c_0_168_169,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_lessequals(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
file('<stdin>',cls_mult__left__le__imp__le_0) ).
fof(c_0_169_170,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_mult__le__cancel__left__pos_0) ).
fof(c_0_170_171,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X2,X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__le__cancel__left__neg_0) ).
fof(c_0_171_172,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__square__gt__zero2_0) ).
fof(c_0_172_173,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__square__gt__zero_0) ).
fof(c_0_173_174,axiom,
! [X26,X2,X3,X4] :
( ~ class_Ring__and__Field_Osemiring(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_Int_Onumber__class_Onumber__of(X26,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X26,X4),X4),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X26,X4),X4),X4) ),
file('<stdin>',cls_left__distrib__number__of_0) ).
fof(c_0_174_175,axiom,
! [X26,X15,X2,X4] :
( ~ class_Ring__and__Field_Osemiring(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),X2,X4),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),X15,X4),X4) ),
file('<stdin>',cls_right__distrib__number__of_0) ).
fof(c_0_175_176,axiom,
! [X26,X15,X2,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),c_HOL_Ominus__class_Ominus(X2,X15,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),X2,X4),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),X15,X4),X4) ),
file('<stdin>',cls_right__diff__distrib__number__of_0) ).
fof(c_0_176_177,axiom,
! [X26,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_Int_Onumber__class_Onumber__of(X26,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X26,X4),X4),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X26,X4),X4),X4) ),
file('<stdin>',cls_left__diff__distrib__number__of_0) ).
fof(c_0_177_178,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oplus__class_Oplus(X11,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X11,X7,X4),X4),X7,X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_add__num__frac_0) ).
fof(c_0_178_179,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X11,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X11,X7,X4),X4),X7,X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_add__frac__num_0) ).
fof(c_0_179_180,axiom,
! [X11,X7,X5] :
( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X11,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X11,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__less__iff1_0) ).
fof(c_0_180_181,axiom,
! [X11,X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X11,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__le__cancel__iff2_0) ).
fof(c_0_181_182,axiom,
! [X11,X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X11,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X11,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__le__cancel__iff1_0) ).
fof(c_0_182_183,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
file('<stdin>',cls_mult__less__cancel__left__disj_0) ).
fof(c_0_183_184,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_mult__less__cancel__right__disj_0) ).
fof(c_0_184_185,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X5,X11,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X11,X4),c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
file('<stdin>',cls_class__ringb_Oadd__mul__solve_1) ).
fof(c_0_185_186,axiom,
! [X5,X16,X15,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X15,X4),c_HOL_Otimes__class_Otimes(X5,X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X16,X4),c_HOL_Otimes__class_Otimes(X5,X15,X4),X4) ),
file('<stdin>',cls_class__ringb_Onoteq__reduce_1) ).
fof(c_0_186_187,axiom,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X11,X1,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X11,X4),c_HOL_Otimes__class_Otimes(X7,X1,X4),X4) ),
file('<stdin>',cls_mult__frac__frac_0) ).
fof(c_0_187_188,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
file('<stdin>',cls_mult__less__cancel__left__disj_1) ).
fof(c_0_188_189,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
file('<stdin>',cls_mult__less__cancel__left__disj_2) ).
fof(c_0_189_190,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_mult__less__cancel__right__disj_1) ).
fof(c_0_190_191,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_mult__less__cancel__right__disj_2) ).
fof(c_0_191_192,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X15,X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I20_J_0) ).
fof(c_0_192_193,axiom,
! [X29,X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X30,X4),c_HOL_Otimes__class_Otimes(X31,X29,X4),X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I13_J_0) ).
fof(c_0_193_194,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ominus__class_Ominus(X15,X16,X4),X4) ),
file('<stdin>',cls_Deriv_Oadd__diff__add_0) ).
fof(c_0_194_195,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__gt__half__sum_0) ).
fof(c_0_195_196,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__less__half__sum_0) ).
fof(c_0_196_197,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_cos__gt__zero_0) ).
fof(c_0_197_198,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_sin__gt__zero2_0) ).
fof(c_0_198_199,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_tan__gt__zero_0) ).
fof(c_0_199_200,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_mult__less__cancel__right__disj_3) ).
fof(c_0_200_201,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
file('<stdin>',cls_mult__less__cancel__left__disj_3) ).
fof(c_0_201_202,axiom,
! [X5,X6,X16,X15,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X15,X4),X4) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X16,X4),X4)
| X15 = X16
| X6 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_class__ringb_Oadd__scale__eq__noteq_0) ).
fof(c_0_202_203,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
file('<stdin>',cls_divide__less__eq_0) ).
fof(c_0_203_204,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
file('<stdin>',cls_divide__less__eq_6) ).
fof(c_0_204_205,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_less__divide__eq_0) ).
fof(c_0_205_206,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
file('<stdin>',cls_less__divide__eq_6) ).
fof(c_0_206_207,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
file('<stdin>',cls_le__divide__eq_6) ).
fof(c_0_207_208,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_le__divide__eq_0) ).
fof(c_0_208_209,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
file('<stdin>',cls_divide__le__eq_6) ).
fof(c_0_209_210,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
file('<stdin>',cls_divide__le__eq_0) ).
fof(c_0_210_211,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of_2) ).
fof(c_0_211_212,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_le__divide__eq__number__of_2) ).
fof(c_0_212_213,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of_2) ).
fof(c_0_213_214,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_less__divide__eq__number__of_2) ).
fof(c_0_214_215,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X11,X4)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Otimes__class_Otimes(X11,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
file('<stdin>',cls_mult__imp__div__pos__less_0) ).
fof(c_0_215_216,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X7,X4),X5,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
file('<stdin>',cls_mult__imp__less__div__pos_0) ).
fof(c_0_216_217,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X7,X4),X5,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
file('<stdin>',cls_mult__imp__le__div__pos_0) ).
fof(c_0_217_218,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X11,X4)
| ~ c_lessequals(X5,c_HOL_Otimes__class_Otimes(X11,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
file('<stdin>',cls_mult__imp__div__pos__le_0) ).
fof(c_0_218_219,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Olordered__ring(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
file('<stdin>',cls_abs__le__mult_0) ).
fof(c_0_219_220,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
file('<stdin>',cls_abs__triangle__ineq_0) ).
fof(c_0_220_221,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),X4) ),
file('<stdin>',cls_abs__triangle__ineq2_0) ).
fof(c_0_221_222,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
file('<stdin>',cls_abs__triangle__ineq4_0) ).
fof(c_0_222_223,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
file('<stdin>',cls_le__add__right__mono_0) ).
fof(c_0_223_224,axiom,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X7,X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__triangle__ineq_0) ).
fof(c_0_224_225,axiom,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__mult__ineq_0) ).
fof(c_0_225_226,axiom,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__triangle__ineq2_0) ).
fof(c_0_226_227,axiom,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__triangle__ineq4_0) ).
fof(c_0_227_228,axiom,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__diff__ineq_0) ).
fof(c_0_228_229,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__le__eq__number__of1_3) ).
fof(c_0_229_230,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_le__divide__eq__number__of1_3) ).
fof(c_0_230_231,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_divide__less__eq__number__of1_3) ).
fof(c_0_231_232,axiom,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_less__divide__eq__number__of1_3) ).
fof(c_0_232_233,axiom,
! [X6,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X6,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X4),X4) ),
file('<stdin>',cls_half__gt__zero__iff_0) ).
fof(c_0_233_234,axiom,
! [X11,X7,X5] :
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X7,X11,tc_RealDef_Oreal)
| X5 = c_HOL_Oinverse__class_Odivide(X7,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X11,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_eq__divide__2__times__iff_1) ).
fof(c_0_234_235,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
file('<stdin>',cls_add__le__cancel__right_0) ).
fof(c_0_235_236,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4) ),
file('<stdin>',cls_add__le__cancel__left_0) ).
fof(c_0_236_237,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
file('<stdin>',cls_add__less__cancel__right_0) ).
fof(c_0_237_238,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4) ),
file('<stdin>',cls_add__less__cancel__left_0) ).
fof(c_0_238_239,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X15,c_HOL_Oabs__class_Oabs(X2,X4),X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) ),
file('<stdin>',cls_estimate__by__abs_0) ).
fof(c_0_239_240,axiom,
! [X7,X5] :
( c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X5),c_Transcendental_Otan(X7),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X7),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Ocos(X7) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_add__tan__eq_0) ).
fof(c_0_240_241,axiom,
! [X7,X5,X15,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Otimes__class_Otimes(X15,c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__ratiotest__lemma_0) ).
fof(c_0_241_242,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__le__eq__number__of_3) ).
fof(c_0_242_243,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_le__divide__eq__number__of_3) ).
fof(c_0_243_244,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__less__eq__number__of_3) ).
fof(c_0_244_245,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_less__divide__eq__number__of_3) ).
fof(c_0_245_246,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_divide__right__mono_0) ).
fof(c_0_246_247,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_HOL_Oinverse__class_Odivide(X3,X15,X4),X4)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_divide__right__mono__neg_0) ).
fof(c_0_247_248,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,X3,X4) ),
file('<stdin>',cls_mult__right__mono__neg_0) ).
fof(c_0_248_249,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,X3,X4) ),
file('<stdin>',cls_mult__left__mono__neg_0) ).
fof(c_0_249_250,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Omult__mono(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_mult__right__mono_0) ).
fof(c_0_250_251,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Omult__mono(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_mult__left__mono_0) ).
fof(c_0_251_252,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Omult__mono1(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_mult__mono1_0) ).
fof(c_0_252_253,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__less__cancel__left__neg_1) ).
fof(c_0_253_254,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_mult__less__cancel__left__pos_1) ).
fof(c_0_254_255,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
file('<stdin>',cls_mult__strict__left__mono__neg_0) ).
fof(c_0_255_256,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_mult__strict__left__mono_0) ).
fof(c_0_256_257,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_mult__less__cancel__left__disj_4) ).
fof(c_0_257_258,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__less__cancel__left__disj_5) ).
fof(c_0_258_259,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
file('<stdin>',cls_mult__strict__right__mono__neg_0) ).
fof(c_0_259_260,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_mult__strict__right__mono_0) ).
fof(c_0_260_261,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_mult__less__cancel__right__disj_4) ).
fof(c_0_261_262,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__less__cancel__right__disj_5) ).
fof(c_0_262_263,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_mult__strict__left__mono__comm_0) ).
fof(c_0_263_264,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_mult__le__cancel__left__pos_1) ).
fof(c_0_264_265,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__le__cancel__left__neg_1) ).
fof(c_0_265_266,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_divide__strict__right__mono_0) ).
fof(c_0_266_267,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
file('<stdin>',cls_divide__strict__right__mono__neg_0) ).
fof(c_0_267_268,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X5,X7,X4),X5,X4)
| ~ c_lessequals(X7,c_HOL_Oone__class_Oone(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_mult__right__le__one__le_0) ).
fof(c_0_268_269,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X7,X5,X4),X5,X4)
| ~ c_lessequals(X7,c_HOL_Oone__class_Oone(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_mult__left__le__one__le_0) ).
fof(c_0_269_270,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
file('<stdin>',cls_divide__le__eq_2) ).
fof(c_0_270_271,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_le__divide__eq_2) ).
fof(c_0_271_272,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_less__divide__eq_2) ).
fof(c_0_272_273,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
file('<stdin>',cls_divide__less__eq_2) ).
fof(c_0_273_274,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_add__mono_0) ).
fof(c_0_274_275,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_add__less__le__mono_0) ).
fof(c_0_275_276,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_add__le__less__mono_0) ).
fof(c_0_276_277,axiom,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_add__strict__mono_0) ).
fof(c_0_277_278,axiom,
! [X7,X5,X15] :
( X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X15,c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_rabs__ratiotest__lemma_0) ).
fof(c_0_278_279,axiom,
! [X17] :
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X17,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X17,tc_RealDef_Oreal) ),
file('<stdin>',cls_lemma__real__divide__sqrt__less_0) ).
fof(c_0_279_280,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4) != c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_sum__squares__eq__zero__iff_1) ).
fof(c_0_280_281,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4) != c_HOL_Ozero__class_Ozero(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_sum__squares__eq__zero__iff_0) ).
fof(c_0_281_282,axiom,
! [X28,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X28,X4),c_HOL_Otimes__class_Otimes(X2,X28,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X28,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I1_J_0) ).
fof(c_0_282_283,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_comm__semiring__class_Odistrib_0) ).
fof(c_0_283_284,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X5,X11,X4),X4) ),
file('<stdin>',cls_class__semiring_Omul__d_0) ).
fof(c_0_284_285,axiom,
! [X2,X24,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X24,X4),X2,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X24,X2,X4),X4) ),
file('<stdin>',cls_mult_Oadd__left_0) ).
fof(c_0_285_286,axiom,
! [X14,X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X7,X4),X14,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X14,X4),c_HOL_Otimes__class_Otimes(X7,X14,X4),X4) ),
file('<stdin>',cls_mult__left_Oadd_0) ).
fof(c_0_286_287,axiom,
! [X25,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,X25,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X3,X25,X4),X4) ),
file('<stdin>',cls_mult_Oadd__right_0) ).
fof(c_0_287_288,axiom,
! [X7,X8,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X8,c_HOL_Oplus__class_Oplus(X5,X7,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X5,X4),c_HOL_Otimes__class_Otimes(X8,X7,X4),X4) ),
file('<stdin>',cls_mult__right_Oadd_0) ).
fof(c_0_288_289,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I8_J_0) ).
fof(c_0_289_290,axiom,
! [X7,X8,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X8,c_HOL_Ominus__class_Ominus(X5,X7,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X8,X5,X4),c_HOL_Otimes__class_Otimes(X8,X7,X4),X4) ),
file('<stdin>',cls_mult__right_Odiff_0) ).
fof(c_0_290_291,axiom,
! [X25,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(X2,X25,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X3,X25,X4),X4) ),
file('<stdin>',cls_mult_Odiff__right_0) ).
fof(c_0_291_292,axiom,
! [X2,X24,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X24,X4),X2,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X24,X2,X4),X4) ),
file('<stdin>',cls_mult_Odiff__left_0) ).
fof(c_0_292_293,axiom,
! [X14,X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X7,X4),X14,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X14,X4),c_HOL_Otimes__class_Otimes(X7,X14,X4),X4) ),
file('<stdin>',cls_mult__left_Odiff_0) ).
fof(c_0_293_294,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_add__divide__distrib_0) ).
fof(c_0_294_295,axiom,
! [X14,X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X7,X4),X14,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X14,X4),c_HOL_Oinverse__class_Odivide(X7,X14,X4),X4) ),
file('<stdin>',cls_divide_Oadd_0) ).
fof(c_0_295_296,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,X4),X15,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
file('<stdin>',cls_diff__divide__distrib_0) ).
fof(c_0_296_297,axiom,
! [X14,X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X5,X7,X4),X14,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X14,X4),c_HOL_Oinverse__class_Odivide(X7,X14,X4),X4) ),
file('<stdin>',cls_divide_Odiff_0) ).
fof(c_0_297_298,axiom,
! [X11,X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X11,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X11,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__less__iff1_1) ).
fof(c_0_298_299,axiom,
! [X11,X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X11,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__less__mono2_0) ).
fof(c_0_299_300,axiom,
! [X11,X7,X5] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X11,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X11,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__le__cancel__iff2_1) ).
fof(c_0_300_301,axiom,
! [X11,X7,X5] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X5,X11,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X11,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__le__cancel__iff1_1) ).
fof(c_0_301_302,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__less__mult__pos_0) ).
fof(c_0_302_303,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
file('<stdin>',cls_zero__less__mult__pos2_0) ).
fof(c_0_303_304,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__eq__mult_3) ).
fof(c_0_304_305,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__eq__mult_2) ).
fof(c_0_305_306,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_abs__eq__mult_1) ).
fof(c_0_306_307,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_abs__eq__mult_0) ).
fof(c_0_307_308,axiom,
! [X7,X5] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__squares__cancel2_0) ).
fof(c_0_308_309,axiom,
! [X7,X5] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__squares__cancel_0) ).
fof(c_0_309_310,axiom,
! [X11,X7,X5,X17,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) != c_HOL_Oplus__class_Oplus(X7,X17,X4)
| c_HOL_Oplus__class_Oplus(X5,X11,X4) = X17 ),
file('<stdin>',cls_add__cancel__21_0) ).
fof(c_0_310_311,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__le__divide__iff_0) ).
fof(c_0_311_312,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__le__divide__iff_1) ).
fof(c_0_312_313,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__le__divide__iff_2) ).
fof(c_0_313_314,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__le__divide__iff_3) ).
fof(c_0_314_315,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__le__0__iff_0) ).
fof(c_0_315_316,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__le__0__iff_1) ).
fof(c_0_316_317,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__le__0__iff_2) ).
fof(c_0_317_318,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__le__0__iff_3) ).
fof(c_0_318_319,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__less__divide__iff_3) ).
fof(c_0_319_320,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__less__divide__iff_2) ).
fof(c_0_320_321,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__less__divide__iff_1) ).
fof(c_0_321_322,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__less__divide__iff_0) ).
fof(c_0_322_323,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__less__0__iff_3) ).
fof(c_0_323_324,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__less__0__iff_2) ).
fof(c_0_324_325,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__less__0__iff_1) ).
fof(c_0_325_326,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__less__0__iff_0) ).
fof(c_0_326_327,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__le__eq_3) ).
fof(c_0_327_328,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_le__divide__eq_3) ).
fof(c_0_328_329,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_less__divide__eq_3) ).
fof(c_0_329_330,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_divide__less__eq_3) ).
fof(c_0_330_331,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__le__mult__iff_3) ).
fof(c_0_331_332,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__le__mult__iff_2) ).
fof(c_0_332_333,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__le__mult__iff_1) ).
fof(c_0_333_334,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
file('<stdin>',cls_zero__le__mult__iff_0) ).
fof(c_0_334_335,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__le__0__iff_3) ).
fof(c_0_335_336,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__le__0__iff_2) ).
fof(c_0_336_337,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__le__0__iff_1) ).
fof(c_0_337_338,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__le__0__iff_0) ).
fof(c_0_338_339,axiom,
! [X6,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X6,X4) ),
file('<stdin>',cls_half__gt__zero_0) ).
fof(c_0_339_340,axiom,
! [X22,X23] :
( c_HOL_Oord__class_Oless(X22,X23,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X23,c_HOL_Ouminus__class_Ouminus(X22,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__gt__zero__less_0) ).
fof(c_0_340_341,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_divide__le__0__iff_4) ).
fof(c_0_341_342,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__le__0__iff_5) ).
fof(c_0_342_343,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_zero__le__divide__iff_4) ).
fof(c_0_343_344,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_zero__le__divide__iff_5) ).
fof(c_0_344_345,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_zero__less__divide__iff_4) ).
fof(c_0_345_346,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_zero__less__divide__iff_5) ).
fof(c_0_346_347,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_divide__less__0__iff_4) ).
fof(c_0_347_348,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__less__0__iff_5) ).
fof(c_0_348_349,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_add__nonpos__nonpos_0) ).
fof(c_0_349_350,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_add__nonneg__nonneg_0) ).
fof(c_0_350_351,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_mult__nonneg__nonpos2_0) ).
fof(c_0_351_352,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__nonpos__nonneg_0) ).
fof(c_0_352_353,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_mult__nonneg__nonpos_0) ).
fof(c_0_353_354,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_split__mult__neg__le_1) ).
fof(c_0_354_355,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_split__mult__neg__le_0) ).
fof(c_0_355_356,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__le__0__iff_5) ).
fof(c_0_356_357,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_mult__le__0__iff_4) ).
fof(c_0_357_358,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_mult__nonneg__nonneg_0) ).
fof(c_0_358_359,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_zero__le__mult__iff_5) ).
fof(c_0_359_360,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_zero__le__mult__iff_4) ).
fof(c_0_360_361,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__nonpos__nonpos_0) ).
fof(c_0_361_362,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_split__mult__pos__le_1) ).
fof(c_0_362_363,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_split__mult__pos__le_0) ).
fof(c_0_363_364,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_add__neg__neg_0) ).
fof(c_0_364_365,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__neg__neg_0) ).
fof(c_0_365_366,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_mult__pos__pos_0) ).
fof(c_0_366_367,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_mult__neg__pos_0) ).
fof(c_0_367_368,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_mult__pos__neg_0) ).
fof(c_0_368_369,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_mult__pos__neg2_0) ).
fof(c_0_369_370,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_add__pos__pos_0) ).
fof(c_0_370_371,axiom,
! [X27,X28,X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Otimes__class_Otimes(X28,X27,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X27,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X28,X4) ),
file('<stdin>',cls_less__1__mult_0) ).
fof(c_0_371_372,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_add__pos__nonneg_0) ).
fof(c_0_372_373,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_add__nonneg__pos_0) ).
fof(c_0_373_374,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_add__nonpos__neg_0) ).
fof(c_0_374_375,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_add__neg__nonpos_0) ).
fof(c_0_375_376,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_divide__nonneg__neg_0) ).
fof(c_0_376_377,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__nonpos__pos_0) ).
fof(c_0_377_378,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_divide__nonneg__pos_0) ).
fof(c_0_378_379,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__nonpos__neg_0) ).
fof(c_0_379_380,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__neg__pos_0) ).
fof(c_0_380_381,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_divide__pos__neg_0) ).
fof(c_0_381_382,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_divide__pos__pos_0) ).
fof(c_0_382_383,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__neg__neg_0) ).
fof(c_0_383_384,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__divide__iff_0) ).
fof(c_0_384_385,axiom,
! [X7,X5] :
( c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__divide__iff_1) ).
fof(c_0_385_386,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_add__le__cancel__right_1) ).
fof(c_0_386_387,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_add__le__cancel__left_1) ).
fof(c_0_387_388,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_add__right__mono_0) ).
fof(c_0_388_389,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_add__left__mono_0) ).
fof(c_0_389_390,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_add__strict__right__mono_0) ).
fof(c_0_390_391,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_add__less__cancel__right_1) ).
fof(c_0_391_392,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_add__strict__left__mono_0) ).
fof(c_0_392_393,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_add__less__cancel__left_1) ).
fof(c_0_393_394,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_lessequals(X2,X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
file('<stdin>',cls_add__increasing2_0) ).
fof(c_0_394_395,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_lessequals(X2,X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_add__increasing_0) ).
fof(c_0_395_396,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_lessequals(X2,X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_add__strict__increasing_0) ).
fof(c_0_396_397,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_add__strict__increasing2_0) ).
fof(c_0_397_398,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__le__0__1__iff_0) ).
fof(c_0_398_399,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4) ),
file('<stdin>',cls_zero__le__divide__1__iff_0) ).
fof(c_0_399_400,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__less__0__1__iff_0) ).
fof(c_0_400_401,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4) ),
file('<stdin>',cls_zero__less__divide__1__iff_0) ).
fof(c_0_401_402,axiom,
! [X7,X5] :
( c_lessequals(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_cos__monotone__minus__pi__0_H_0) ).
fof(c_0_402_403,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_cos__monotone__minus__pi__0_0) ).
fof(c_0_403_404,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_le__eq__neg_1) ).
fof(c_0_404_405,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_pos__add__strict_0) ).
fof(c_0_405_406,axiom,
! [X7,X5] :
( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X5,X7,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_ln__mult_0) ).
fof(c_0_406_407,axiom,
! [X7,X5] :
( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_ln__div_0) ).
fof(c_0_407_408,axiom,
! [X1,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_Int_Onumber__class_Onumber__of(X26,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X26,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_le__number__of__eq__not__less_0) ).
fof(c_0_408_409,axiom,
! [X11,X7,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X11,X5,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X11,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__left__mono_0) ).
fof(c_0_409_410,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult__divide__mult__cancel__left_0) ).
fof(c_0_410_411,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult__divide__mult__cancel__right_0) ).
fof(c_0_411_412,axiom,
! [X28,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X28,c_HOL_Otimes__class_Otimes(X3,X28,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X28,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I3_J_0) ).
fof(c_0_412_413,axiom,
! [X28,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X28,X4),X28,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X28,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I2_J_0) ).
fof(c_0_413_414,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
file('<stdin>',cls_abs__add__abs_0) ).
fof(c_0_414_415,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__order_0) ).
fof(c_0_415_416,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__divide__iff_2) ).
fof(c_0_416_417,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__divide__iff_3) ).
fof(c_0_417_418,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__divide__iff_4) ).
fof(c_0_418_419,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__divide__iff_5) ).
fof(c_0_419_420,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X11,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X11,X4),X7,X4) ),
file('<stdin>',cls_mult__frac__num_0) ).
fof(c_0_420_421,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_ln__less__cancel__iff_0) ).
fof(c_0_421_422,axiom,
! [X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_ln__le__cancel__iff_0) ).
fof(c_0_422_423,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_0) ).
fof(c_0_423_424,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4) ),
file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_0) ).
fof(c_0_424_425,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_even__less__0__iff_0) ).
fof(c_0_425_426,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_0) ).
fof(c_0_426_427,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4) ),
file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_0) ).
fof(c_0_427_428,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X7,X11,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X5,X7,X4),X11,X4) ),
file('<stdin>',cls_class__semiring_Omul__a_0) ).
fof(c_0_428_429,axiom,
! [X29,X30,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(X30,c_HOL_Otimes__class_Otimes(X32,X29,X4),X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I19_J_0) ).
fof(c_0_429_430,axiom,
! [X29,X30,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X30,X4),X29,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I18_J_0) ).
fof(c_0_430_431,axiom,
! [X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),X30,X4) = c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X31,X30,X4),X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I17_J_0) ).
fof(c_0_431_432,axiom,
! [X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),X30,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X30,X4),X31,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I16_J_0) ).
fof(c_0_432_433,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X2,X4),X15,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
file('<stdin>',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).
fof(c_0_433_434,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4) ),
file('<stdin>',cls_comm__monoid__add_Omult__left__commute_0) ).
fof(c_0_434_435,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
file('<stdin>',cls_comm__monoid__add_Omult__assoc_0) ).
fof(c_0_435_436,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X7,X4),X11,X4) ),
file('<stdin>',cls_class__semiring_Oadd__a_0) ).
fof(c_0_436_437,axiom,
! [X11,X7,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Oplus__class_Oplus(X5,X11,X4),X4) ),
file('<stdin>',cls_add__cancel__21_1) ).
fof(c_0_437_438,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Oab__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
file('<stdin>',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).
fof(c_0_438_439,axiom,
! [X16,X15,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X15,X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X15,X4),X16,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I25_J_0) ).
fof(c_0_439_440,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X15,X4),X2,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I23_J_0) ).
fof(c_0_440_441,axiom,
! [X16,X15,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X15,X16,X4),X4) = c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I22_J_0) ).
fof(c_0_441_442,axiom,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I21_J_0) ).
fof(c_0_442_443,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_sum__squares__eq__zero__iff_2) ).
fof(c_0_443_444,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__less__add__iff_0) ).
fof(c_0_444_445,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__less__0__iff_0) ).
fof(c_0_445_446,axiom,
! [X7,X5] :
( c_lessequals(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__le__0__iff_0) ).
fof(c_0_446_447,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__add__iff_0) ).
fof(c_0_447_448,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_ln__less__cancel__iff_1) ).
fof(c_0_448_449,axiom,
! [X7,X5] :
( c_lessequals(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_ln__le__cancel__iff_1) ).
fof(c_0_449_450,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_le__iff__diff__le__0_1) ).
fof(c_0_450_451,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_less__iff__diff__less__0_1) ).
fof(c_0_451_452,axiom,
! [X9,X7,X10,X5,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| c_lessequals(X9,X10,X4)
| ~ c_lessequals(X7,X5,X4) ),
file('<stdin>',cls_le__eqI_0) ).
fof(c_0_452_453,axiom,
! [X9,X7,X10,X5,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| c_lessequals(X7,X5,X4)
| ~ c_lessequals(X9,X10,X4) ),
file('<stdin>',cls_le__eqI_1) ).
fof(c_0_453_454,axiom,
! [X9,X7,X10,X5,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| c_HOL_Oord__class_Oless(X10,X9,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_less__eqI_0) ).
fof(c_0_454_455,axiom,
! [X9,X7,X10,X5,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X10,X9,X4) ),
file('<stdin>',cls_less__eqI_1) ).
fof(c_0_455_456,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X7),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_cos__monotone__0__pi_0) ).
fof(c_0_456_457,axiom,
! [X7,X5] :
( c_lessequals(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X7),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_cos__monotone__0__pi_H_0) ).
fof(c_0_457_458,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X5,X4),X7,X4) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
file('<stdin>',cls_abs__div__pos_0) ).
fof(c_0_458_459,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_sin__gt__zero_0) ).
fof(c_0_459_460,axiom,
! [X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__eq__diff_1) ).
fof(c_0_460_461,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X7,X4),X5,X4) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X7,X5,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
file('<stdin>',cls_abs__mult__pos_0) ).
fof(c_0_461_462,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X4),X4) ),
file('<stdin>',cls_half_0) ).
fof(c_0_462_463,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_le__eq__neg_0) ).
fof(c_0_463_464,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_abs__leI_0) ).
fof(c_0_464_465,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_abs__le__iff_2) ).
fof(c_0_465_466,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_abs__less__iff_2) ).
fof(c_0_466_467,axiom,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(X5,X7,X4) != c_HOL_Oinverse__class_Odivide(X1,X11,X4)
| X11 = c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Otimes__class_Otimes(X5,X11,X4) = c_HOL_Otimes__class_Otimes(X1,X7,X4) ),
file('<stdin>',cls_frac__eq__eq_0) ).
fof(c_0_467_468,axiom,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Otimes__class_Otimes(X5,X11,X4) != c_HOL_Otimes__class_Otimes(X1,X7,X4)
| X11 = c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(X5,X7,X4) = c_HOL_Oinverse__class_Odivide(X1,X11,X4) ),
file('<stdin>',cls_frac__eq__eq_1) ).
fof(c_0_468_469,axiom,
! [X7,X5,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_add__nonneg__eq__0__iff_1) ).
fof(c_0_469_470,axiom,
! [X7,X5,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_add__nonneg__eq__0__iff_0) ).
fof(c_0_470_471,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__le__0__1__iff_1) ).
fof(c_0_471_472,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4) ),
file('<stdin>',cls_zero__le__divide__1__iff_1) ).
fof(c_0_472_473,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_divide__less__0__1__iff_1) ).
fof(c_0_473_474,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4) ),
file('<stdin>',cls_zero__less__divide__1__iff_1) ).
fof(c_0_474_475,axiom,
! [X22,X23] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X23,c_HOL_Ouminus__class_Ouminus(X22,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X22,X23,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__less__sum__gt__zero_0) ).
fof(c_0_475_476,axiom,
! [X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_add__nonneg__eq__0__iff_2) ).
fof(c_0_476_477,axiom,
! [X1,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) = X3
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq__number__of1_3) ).
fof(c_0_477_478,axiom,
! [X1,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_eq__divide__eq__number__of1_3) ).
fof(c_0_478_479,axiom,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq__number__of1_0) ).
fof(c_0_479_480,axiom,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) = X2
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_eq__divide__eq__number__of1_0) ).
fof(c_0_480_481,axiom,
! [X5,X6] :
( c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
| ~ c_lessequals(X5,X6,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_abs__le__interval__iff_2) ).
fof(c_0_481_482,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__less__add__iff_1) ).
fof(c_0_482_483,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__less__0__iff_1) ).
fof(c_0_483_484,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__le__0__iff_1) ).
fof(c_0_484_485,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__add__iff_1) ).
fof(c_0_485_486,axiom,
! [X1,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_number__of__Bit1_0) ).
fof(c_0_486_487,axiom,
! [X1,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_number__of__Bit0_0) ).
fof(c_0_487_488,axiom,
! [X11,X7,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) != X7
| X5 = c_HOL_Ouminus__class_Ouminus(X11,X4) ),
file('<stdin>',cls_add__cancel__end_0) ).
fof(c_0_488_489,axiom,
! [X1,X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X15,X4) ),
file('<stdin>',cls_eq__divide__eq__number__of_4) ).
fof(c_0_489_490,axiom,
! [X1,X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X15,X4) = c_Int_Onumber__class_Onumber__of(X1,X4) ),
file('<stdin>',cls_divide__eq__eq__number__of_4) ).
fof(c_0_490_491,axiom,
! [X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_eq__divide__eq__number__of1_4) ).
fof(c_0_491_492,axiom,
! [X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq__number__of1_4) ).
fof(c_0_492_493,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_1) ).
fof(c_0_493_494,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_1) ).
fof(c_0_494_495,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_even__less__0__iff_1) ).
fof(c_0_495_496,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_1) ).
fof(c_0_496_497,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_1) ).
fof(c_0_497_498,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_not__square__less__zero_0) ).
fof(c_0_498_499,axiom,
! [X7,X5] :
( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__squares__cancel__a_0) ).
fof(c_0_499_500,axiom,
! [X7,X5] :
( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__squares__cancel__a_1) ).
fof(c_0_500_501,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_le__iff__diff__le__0_0) ).
fof(c_0_501_502,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_less__iff__diff__less__0_0) ).
fof(c_0_502_503,axiom,
! [X1,X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X15,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_eq__divide__eq__number__of_3) ).
fof(c_0_503_504,axiom,
! [X1,X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X15,X4) = c_Int_Onumber__class_Onumber__of(X1,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq__number__of_3) ).
fof(c_0_504_505,axiom,
! [X11,X18,X19] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X19,X18,X11),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X19,tc_RealDef_Oreal) ),
file('<stdin>',cls_poly__cont_0) ).
fof(c_0_505_506,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
file('<stdin>',cls_abs__minus__commute_0) ).
fof(c_0_506_507,axiom,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
file('<stdin>',cls_norm__minus__commute_0) ).
fof(c_0_507_508,axiom,
! [X28,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X28,X28,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X28,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I4_J_0) ).
fof(c_0_508_509,axiom,
! [X7,X5] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__eq__diff_0) ).
fof(c_0_509_510,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
file('<stdin>',cls_abs__divide_0) ).
fof(c_0_510_511,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_RealVector_Oreal__normed__field(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__divide_0) ).
fof(c_0_511_512,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_nonzero__abs__divide_0) ).
fof(c_0_512_513,axiom,
! [X1,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X4) ),
file('<stdin>',cls_double__number__of__Bit0_0) ).
fof(c_0_513_514,axiom,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_nonzero__norm__divide_0) ).
fof(c_0_514_515,axiom,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X11,X5,X4)
| ~ c_lessequals(X11,X7,X4)
| ~ c_lessequals(X7,X5,X4) ),
file('<stdin>',cls_xt1_I6_J_0) ).
fof(c_0_515_516,axiom,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X5,X11,X4)
| ~ c_lessequals(X7,X11,X4)
| ~ c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_order__trans_0) ).
fof(c_0_516_517,axiom,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X11,X5,X4)
| ~ c_lessequals(X11,X7,X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
file('<stdin>',cls_xt1_I7_J_0) ).
fof(c_0_517_518,axiom,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X11,X5,X4)
| ~ c_HOL_Oord__class_Oless(X11,X7,X4)
| ~ c_lessequals(X7,X5,X4) ),
file('<stdin>',cls_xt1_I8_J_0) ).
fof(c_0_518_519,axiom,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_HOL_Oord__class_Oless(X5,X11,X4)
| ~ c_lessequals(X7,X11,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_order__less__le__trans_0) ).
fof(c_0_519_520,axiom,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_HOL_Oord__class_Oless(X5,X11,X4)
| ~ c_HOL_Oord__class_Oless(X7,X11,X4)
| ~ c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_order__le__less__trans_0) ).
fof(c_0_520_521,axiom,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X11,X5,X4)
| ~ c_HOL_Oord__class_Oless(X11,X7,X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
file('<stdin>',cls_xt1_I10_J_0) ).
fof(c_0_521_522,axiom,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_HOL_Oord__class_Oless(X5,X11,X4)
| ~ c_HOL_Oord__class_Oless(X7,X11,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_order__less__trans_0) ).
fof(c_0_522_523,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_minus__add__distrib_0) ).
fof(c_0_523_524,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_minus__add_0) ).
fof(c_0_524_525,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
file('<stdin>',cls_abs__mult_0) ).
fof(c_0_525_526,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) ),
file('<stdin>',cls_Lim_Ominus__diff__minus_0) ).
fof(c_0_526_527,axiom,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__div__algebra(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__mult_0) ).
fof(c_0_527_528,axiom,
! [X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_sin__ge__zero_0) ).
fof(c_0_528_529,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_sin__gt__zero__pi_0) ).
fof(c_0_529_530,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X5,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__number__of_0) ).
fof(c_0_530_531,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_neg__le__iff__le_0) ).
fof(c_0_531_532,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_neg__less__iff__less_0) ).
fof(c_0_532_533,axiom,
! [X1,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X26,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_Int_Onumber__class_Onumber__of(X26,X4),X4) ),
file('<stdin>',cls_le__number__of__eq__not__less_1) ).
fof(c_0_533_534,axiom,
! [X7,X5,X4] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X4)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) = c_HOL_Otimes__class_Otimes(X5,X7,X4) ),
file('<stdin>',cls_mult__left__idem_0) ).
fof(c_0_534_535,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4),X4) = X2 ),
file('<stdin>',cls_add__minus__cancel_0) ).
fof(c_0_535_536,axiom,
! [X13,X33,X34] :
( c_lessequals(X34,X13,tc_RealDef_Oreal)
| ~ c_lessequals(X33,X13,tc_RealDef_Oreal)
| ~ c_lessequals(X34,X33,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__trans_0) ).
fof(c_0_536_537,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Oinverse__class_Odivide(X2,X15,X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4) = X2
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_eq__divide__eq__number__of_0) ).
fof(c_0_537_538,axiom,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(X2,X15,X4) != c_Int_Onumber__class_Onumber__of(X1,X4)
| X2 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq__number__of_0) ).
fof(c_0_538_539,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_minus__divide__right_0) ).
fof(c_0_539_540,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
file('<stdin>',cls_abs__le__D2_0) ).
fof(c_0_540_541,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4) ),
file('<stdin>',cls_minus__le__iff_1) ).
fof(c_0_541_542,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
file('<stdin>',cls_minus__le__iff_0) ).
fof(c_0_542_543,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_le__minus__iff_1) ).
fof(c_0_543_544,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_le__minus__iff_0) ).
fof(c_0_544_545,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
file('<stdin>',cls_abs__less__iff_1) ).
fof(c_0_545_546,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4) ),
file('<stdin>',cls_minus__less__iff_1) ).
fof(c_0_546_547,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
file('<stdin>',cls_minus__less__iff_0) ).
fof(c_0_547_548,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_less__minus__iff_1) ).
fof(c_0_548_549,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_less__minus__iff_0) ).
fof(c_0_549_550,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_nonzero__minus__divide__right_0) ).
fof(c_0_550_551,axiom,
! [X8,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X8,c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X5,X4),X4) ),
file('<stdin>',cls_mult__right_Ominus_0) ).
fof(c_0_551_552,axiom,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
file('<stdin>',cls_mult_Ominus__right_0) ).
fof(c_0_552_553,axiom,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
file('<stdin>',cls_mult__left_Ominus_0) ).
fof(c_0_553_554,axiom,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
file('<stdin>',cls_mult_Ominus__left_0) ).
fof(c_0_554_555,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_minus__mult__right_0) ).
fof(c_0_555_556,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
file('<stdin>',cls_minus__mult__left_0) ).
fof(c_0_556_557,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
file('<stdin>',cls_minus__divide__left_0) ).
fof(c_0_557_558,axiom,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) ),
file('<stdin>',cls_divide_Ominus_0) ).
fof(c_0_558_559,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_neg__le__0__iff__le_0) ).
fof(c_0_559_560,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_neg__0__le__iff__le_0) ).
fof(c_0_560_561,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_neg__0__less__iff__less_0) ).
fof(c_0_561_562,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_neg__less__0__iff__less_0) ).
fof(c_0_562_563,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| c_lessequals(X7,X5,X4)
| ~ c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_less__le__not__le_2) ).
fof(c_0_563_564,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_le__imp__neg__le_0) ).
fof(c_0_564_565,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_neg__less__iff__less_1) ).
fof(c_0_565_566,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4) ),
file('<stdin>',cls_zero__less__two_0) ).
fof(c_0_566_567,axiom,
! [X5,X6] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
file('<stdin>',cls_abs__le__interval__iff_0) ).
fof(c_0_567_568,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| c_HOL_Otimes__class_Otimes(X3,X3,X4) != c_HOL_Otimes__class_Otimes(X2,X2,X4)
| X3 = c_HOL_Ouminus__class_Ouminus(X2,X4)
| X3 = X2 ),
file('<stdin>',cls_square__eq__iff_0) ).
fof(c_0_568_569,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = X2 ),
file('<stdin>',cls_minus__add__cancel_0) ).
fof(c_0_569_570,axiom,
! [X11,X7,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X4),c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) = X7 ),
file('<stdin>',cls_add__cancel__end_1) ).
fof(c_0_570_571,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_le__minus__self__iff_0) ).
fof(c_0_571_572,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) ),
file('<stdin>',cls_minus__le__self__iff_0) ).
fof(c_0_572_573,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_less__eq__neg__nonpos_0) ).
fof(c_0_573_574,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) ),
file('<stdin>',cls_neg__less__eq__nonneg_0) ).
fof(c_0_574_575,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_less__minus__self__iff_0) ).
fof(c_0_575_576,axiom,
! [X7,X5] :
( c_Transcendental_Oln(X5) != c_Transcendental_Oln(X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| X5 = X7 ),
file('<stdin>',cls_ln__inj__iff_0) ).
fof(c_0_576_577,axiom,
! [X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X15,X4),X15,X4) ),
file('<stdin>',cls_eq__divide__eq_4) ).
fof(c_0_577_578,axiom,
! [X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X15,X4),X15,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq_4) ).
fof(c_0_578_579,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_neg__le__0__iff__le_1) ).
fof(c_0_579_580,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_neg__0__le__iff__le_1) ).
fof(c_0_580_581,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_neg__0__less__iff__less_1) ).
fof(c_0_581_582,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_neg__less__0__iff__less_1) ).
fof(c_0_582_583,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
file('<stdin>',cls_abs__le__D1_0) ).
fof(c_0_583_584,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
file('<stdin>',cls_abs__less__iff_0) ).
fof(c_0_584_585,axiom,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Oplus__class_Oplus(X5,X11,X4)
| X7 = X11 ),
file('<stdin>',cls_class__ringb_Oadd__cancel_0) ).
fof(c_0_585_586,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_le__minus__self__iff_1) ).
fof(c_0_586_587,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_minus__le__self__iff_1) ).
fof(c_0_587_588,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_less__eq__neg__nonpos_1) ).
fof(c_0_588_589,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_neg__less__eq__nonneg_1) ).
fof(c_0_589_590,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_less__minus__self__iff_1) ).
fof(c_0_590_591,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ),
file('<stdin>',cls_minus__diff__eq_0) ).
fof(c_0_591_592,axiom,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),X15,X4) = X3
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq_3) ).
fof(c_0_592_593,axiom,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),X15,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_eq__divide__eq_3) ).
fof(c_0_593_594,axiom,
! [X15,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X15,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq_0) ).
fof(c_0_594_595,axiom,
! [X15,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X15,X4) = X2
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_eq__divide__eq_0) ).
fof(c_0_595_596,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| X5 = X7
| ~ c_lessequals(X5,X7,X4)
| ~ c_lessequals(X7,X5,X4) ),
file('<stdin>',cls_order__antisym__conv_0) ).
fof(c_0_596_597,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| X5 = X7
| ~ c_lessequals(X7,X5,X4)
| ~ c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_order__eq__iff_2) ).
fof(c_0_597_598,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| X5 = X7
| ~ c_lessequals(X7,X5,X4)
| ~ c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_order__antisym_0) ).
fof(c_0_598_599,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X4) ),
file('<stdin>',cls_less__add__one_0) ).
fof(c_0_599_600,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(X2,X3,X4) != c_HOL_Oplus__class_Oplus(X15,X3,X4)
| X2 = X15 ),
file('<stdin>',cls_add__right__cancel_0) ).
fof(c_0_600_601,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Oplus__class_Oplus(X3,X15,X4)
| X2 = X15 ),
file('<stdin>',cls_add__left__cancel_0) ).
fof(c_0_601_602,axiom,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Oplus__class_Oplus(X3,X15,X4)
| X2 = X15 ),
file('<stdin>',cls_add__imp__eq_0) ).
fof(c_0_602_603,axiom,
! [X9,X10,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X5,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| X10 = X9 ),
file('<stdin>',cls_eq__eqI_0) ).
fof(c_0_603_604,axiom,
! [X7,X8,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X8,X7,X4) != c_HOL_Ominus__class_Ominus(X5,X5,X4)
| X8 = X7 ),
file('<stdin>',cls_eq__eqI_1) ).
fof(c_0_604_605,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| ~ c_lessequals(X7,X5,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_less__le__not__le_1) ).
fof(c_0_605_606,axiom,
! [X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X5,X5,X4)
| ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
file('<stdin>',cls_linorder__antisym__conv2_1) ).
fof(c_0_606_607,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_lessequals(X7,X5,X4) ),
file('<stdin>',cls_linorder__not__less_1) ).
fof(c_0_607_608,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
file('<stdin>',cls_linorder__not__le_1) ).
fof(c_0_608_609,axiom,
! [X2,X3,X4] :
( ~ class_Orderings_Opreorder(X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
file('<stdin>',cls_order__less__asym_H_0) ).
fof(c_0_609_610,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_order__less__asym_0) ).
fof(c_0_610_611,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).
fof(c_0_611_612,axiom,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
file('<stdin>',cls_xt1_I9_J_0) ).
fof(c_0_612_613,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ),
file('<stdin>',cls_minus__divide__divide_0) ).
fof(c_0_613_614,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X3,X4),X4) ),
file('<stdin>',cls_zero__le__square_0) ).
fof(c_0_614_615,axiom,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| X15 = c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),X15,X4) = X3 ),
file('<stdin>',cls_divide__eq__imp_0) ).
fof(c_0_615_616,axiom,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| X15 = c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),X15,X4) ),
file('<stdin>',cls_eq__divide__imp_0) ).
fof(c_0_616_617,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_nonzero__minus__divide__divide_0) ).
fof(c_0_617_618,axiom,
! [X5,X6] :
( c_lessequals(X5,X6,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
file('<stdin>',cls_abs__le__interval__iff_1) ).
fof(c_0_618_619,axiom,
! [X15,X2,X3] :
( c_HOL_Otimes__class_Otimes(X3,X15,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X15,tc_RealDef_Oreal)
| X15 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X3 = X2 ),
file('<stdin>',cls_real__mult__right__cancel_0) ).
fof(c_0_619_620,axiom,
! [X15,X2,X3] :
( c_HOL_Otimes__class_Otimes(X15,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X15,X2,tc_RealDef_Oreal)
| X15 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X3 = X2 ),
file('<stdin>',cls_real__mult__left__cancel_0) ).
fof(c_0_620_621,axiom,
! [X11,X1] :
( X11 = X1
| ~ c_lessequals(X1,X11,tc_RealDef_Oreal)
| ~ c_lessequals(X11,X1,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__antisym_0) ).
fof(c_0_621_622,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X2,X4) = X3 ),
file('<stdin>',cls_diff__add__cancel_0) ).
fof(c_0_622_623,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X2,X4) = X3 ),
file('<stdin>',cls_add__diff__cancel_0) ).
fof(c_0_623_624,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_minus__mult__commute_0) ).
fof(c_0_624_625,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ),
file('<stdin>',cls_minus__mult__minus_0) ).
fof(c_0_625_626,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Otimes__class_Otimes(X2,X2,X4) ),
file('<stdin>',cls_square__eq__iff_1) ).
fof(c_0_626_627,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) = c_HOL_Otimes__class_Otimes(X3,X3,X4) ),
file('<stdin>',cls_abs__mult__self_0) ).
fof(c_0_627_628,axiom,
! [X11,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(X11,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X4) = c_HOL_Oplus__class_Oplus(X11,X11,X4) ),
file('<stdin>',cls_mult__2__right_0) ).
fof(c_0_628_629,axiom,
! [X11,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X11,X4) = c_HOL_Oplus__class_Oplus(X11,X11,X4) ),
file('<stdin>',cls_mult__2_0) ).
fof(c_0_629_630,axiom,
! [X5] :
( X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_not__real__square__gt__zero_0) ).
fof(c_0_630_631,axiom,
! [X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),X4) ),
file('<stdin>',cls_zero__less__abs__iff_0) ).
fof(c_0_631_632,axiom,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) != c_Int_Onumber__class_Onumber__of(X1,X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq__number__of_1) ).
fof(c_0_632_633,axiom,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_eq__divide__eq__number__of_1) ).
fof(c_0_633_634,axiom,
! [X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__le__iff_0) ).
fof(c_0_634_635,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__less__iff_0) ).
fof(c_0_635_636,axiom,
! [X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_zero__less__norm__iff_0) ).
fof(c_0_636_637,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X5,X4),X4) = c_Int_Onumber__class_Onumber__of(X5,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__number__of_1) ).
fof(c_0_637_638,axiom,
! [X7] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__ge__0__iff_0) ).
fof(c_0_638_639,axiom,
! [X5] :
( c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__le__0__iff_0) ).
fof(c_0_639_640,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__lt__0__iff_0) ).
fof(c_0_640_641,axiom,
! [X7] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__gt__0__iff_0) ).
fof(c_0_641_642,axiom,
! [X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__ge__zero_0) ).
fof(c_0_642_643,axiom,
! [X7] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__ge__0__iff_1) ).
fof(c_0_643_644,axiom,
! [X5] :
( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__le__0__iff_1) ).
fof(c_0_644_645,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__lt__0__iff_1) ).
fof(c_0_645_646,axiom,
! [X7] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__gt__0__iff_1) ).
fof(c_0_646_647,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__gt__zero_0) ).
fof(c_0_647_648,axiom,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| X3 = X2
| ~ c_lessequals(X2,X3,X4) ),
file('<stdin>',cls_xt1_I11_J_0) ).
fof(c_0_648_649,axiom,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_lessequals(X2,X3,X4)
| X3 = X2 ),
file('<stdin>',cls_xt1_I12_J_0) ).
fof(c_0_649_650,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_linorder__antisym__conv2_0) ).
fof(c_0_650_651,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| X5 = X7
| ~ c_lessequals(X5,X7,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_linorder__antisym__conv1_0) ).
fof(c_0_651_652,axiom,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(X3,X2,X4)
| X3 = X2 ),
file('<stdin>',cls_order__neq__le__trans_0) ).
fof(c_0_652_653,axiom,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| X3 = X2
| ~ c_lessequals(X3,X2,X4) ),
file('<stdin>',cls_order__le__neq__trans_0) ).
fof(c_0_653_654,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_order__le__less_0) ).
fof(c_0_654_655,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| X5 = X7
| ~ c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_order__less__le_2) ).
fof(c_0_655_656,axiom,
! [X7,X5] :
( c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__le__iff_1) ).
fof(c_0_656_657,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__less__iff_1) ).
fof(c_0_657_658,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__le__zero__iff_0) ).
fof(c_0_658_659,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_order__less__imp__le_0) ).
fof(c_0_659_660,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_order__le__less_1) ).
fof(c_0_660_661,axiom,
! [X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_ln__less__self_0) ).
fof(c_0_661_662,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X3,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__minus__le__zero_0) ).
fof(c_0_662_663,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__not__less__zero_0) ).
fof(c_0_663_664,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ),
file('<stdin>',cls_diff__minus__eq__add_0) ).
fof(c_0_664_665,axiom,
! [X7,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
file('<stdin>',cls_diff__def_0) ).
fof(c_0_665_666,axiom,
! [X7,X5,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
file('<stdin>',cls_class__ring_Osub__add_0) ).
fof(c_0_666_667,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_diff__minus_0) ).
fof(c_0_667_668,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_ab__diff__minus_0) ).
fof(c_0_668_669,axiom,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__le__zero__iff_0) ).
fof(c_0_669_670,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| X5 = X7
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__less__def_2) ).
fof(c_0_670_671,axiom,
! [X3,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__if__lattice_0) ).
fof(c_0_671_672,axiom,
! [X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__less__def_0) ).
fof(c_0_672_673,axiom,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__not__less__zero_0) ).
fof(c_0_673_674,axiom,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq__number__of1_1) ).
fof(c_0_674_675,axiom,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
file('<stdin>',cls_eq__divide__eq__number__of1_2) ).
fof(c_0_675_676,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__of__nonpos_0) ).
fof(c_0_676_677,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__of__neg_0) ).
fof(c_0_677_678,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oabs__if(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__if_0) ).
fof(c_0_678_679,axiom,
! [X5,X3] :
( c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = X3 ),
file('<stdin>',cls_real__add__minus__iff_0) ).
fof(c_0_679_680,axiom,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) = c_Int_Onumber__class_Onumber__of(X1,X4) ),
file('<stdin>',cls_divide__eq__eq__number__of_2) ).
fof(c_0_680_681,axiom,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_eq__divide__eq__number__of_2) ).
fof(c_0_681_682,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X7,X5,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| X5 = X7 ),
file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).
fof(c_0_682_683,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X7,X5,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).
fof(c_0_683_684,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X5,X7,X4)
| c_HOL_Oord__class_Oless(X7,X5,X4) ),
file('<stdin>',cls_linorder__antisym__conv3_0) ).
fof(c_0_684_685,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X7,X5,X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_linorder__less__linear_0) ).
fof(c_0_685_686,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X7,X5,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| X5 = X7 ),
file('<stdin>',cls_linorder__neqE_0) ).
fof(c_0_686_687,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = X3
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_abs__of__nonneg_0) ).
fof(c_0_687_688,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = X3
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
file('<stdin>',cls_abs__of__pos_0) ).
fof(c_0_688_689,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X7,X5,X4)
| c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_linorder__linear_0) ).
fof(c_0_689_690,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| c_lessequals(X7,X5,X4) ),
file('<stdin>',cls_not__leE_0) ).
fof(c_0_690_691,axiom,
! [X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X5,X5,X4)
| c_lessequals(X5,X5,X4) ),
file('<stdin>',cls_linorder__antisym__conv1_1) ).
fof(c_0_691_692,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X7,X5,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4) ),
file('<stdin>',cls_linorder__not__less_0) ).
fof(c_0_692_693,axiom,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X7,X5,X4)
| c_lessequals(X5,X7,X4) ),
file('<stdin>',cls_linorder__not__le_0) ).
fof(c_0_693_694,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ),
file('<stdin>',cls_comm__monoid__add_Omult__commute_0) ).
fof(c_0_694_695,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X7,X5,X4) ),
file('<stdin>',cls_class__semiring_Oadd__c_0) ).
fof(c_0_695_696,axiom,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X3,X15,X4) = c_HOL_Oplus__class_Oplus(X15,X3,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I24_J_0) ).
fof(c_0_696_697,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X5,X7,X4) = c_HOL_Otimes__class_Otimes(X7,X5,X4) ),
file('<stdin>',cls_class__semiring_Omul__c_0) ).
fof(c_0_697_698,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X3,X2,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I7_J_0) ).
fof(c_0_698_699,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Ouminus__class_Ouminus(X3,X4) = X2 ),
file('<stdin>',cls_minus__unique_0) ).
fof(c_0_699_700,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ouminus__class_Ouminus(X2,X4) ),
file('<stdin>',cls_eq__neg__iff__add__eq__0_1) ).
fof(c_0_700_701,axiom,
! [X5,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Ouminus__class_Ouminus(X5,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4),X5,X4) ),
file('<stdin>',cls_class__ring_Oneg__mul_0) ).
fof(c_0_701_702,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
file('<stdin>',cls_abs__ge__minus__self_0) ).
fof(c_0_702_703,axiom,
! [X6] :
( c_HOL_Oabs__class_Oabs(X6,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__abs__def_0) ).
fof(c_0_703_704,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_not__one__le__zero_0) ).
fof(c_0_704_705,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_not__one__less__zero_0) ).
fof(c_0_705_706,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X2 = c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult__eq__0__iff_0) ).
fof(c_0_706_707,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X2 = c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_no__zero__divisors_0) ).
fof(c_0_707_708,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_no__zero__divirors__neq0_0) ).
fof(c_0_708_709,axiom,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
| X5 = X7 ),
file('<stdin>',cls_class__ringb_Osubr0__iff_0) ).
fof(c_0_709_710,axiom,
! [X5,X3,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| X5 != c_HOL_Oplus__class_Oplus(X5,X3,X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_class__ringb_Oadd__r0__iff_0) ).
fof(c_0_710_711,axiom,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(X3,X2,X4) != c_HOL_Oone__class_Oone(X4)
| X2 = c_HOL_Ozero__class_Ozero(X4)
| X3 = X2 ),
file('<stdin>',cls_right__inverse__eq_0) ).
fof(c_0_711_712,axiom,
! [X11,X1] :
( c_lessequals(X1,X11,tc_RealDef_Oreal)
| c_lessequals(X11,X1,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__linear_0) ).
fof(c_0_712_713,axiom,
! [X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__le__zero__iff_1) ).
fof(c_0_713_714,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X3,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_double__eq__0__iff_0) ).
fof(c_0_714_715,axiom,
! [X5] :
( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__eq__zero__cancel_0) ).
fof(c_0_715_716,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__Numeral0_0) ).
fof(c_0_716_717,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4),X4) = X3 ),
file('<stdin>',cls_divide__numeral__1_0) ).
fof(c_0_717_718,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4),X4) = X5 ),
file('<stdin>',cls_divide__Numeral1_0) ).
fof(c_0_718_719,axiom,
! [X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__le__zero__iff_1) ).
fof(c_0_719_720,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = X2 ),
file('<stdin>',cls_eq__iff__diff__eq__0_1) ).
fof(c_0_720_721,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = X2 ),
file('<stdin>',cls_right__minus__eq_0) ).
fof(c_0_721_722,axiom,
! [X7,X5] :
( c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X7 = c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__eq__0__iff_0) ).
fof(c_0_722_723,axiom,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4) ),
file('<stdin>',cls_one__add__one__is__two_0) ).
fof(c_0_723_724,axiom,
! [X5] :
( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__not__eq__zero_0) ).
fof(c_0_724_725,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(X3,X4),X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_zero__less__abs__iff_1) ).
fof(c_0_725_726,axiom,
! [X3,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4),X4) = X3 ),
file('<stdin>',cls_mult__numeral__1__right_0) ).
fof(c_0_726_727,axiom,
! [X3,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4),X3,X4) = X3 ),
file('<stdin>',cls_mult__numeral__1_0) ).
fof(c_0_727_728,axiom,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_zero__less__norm__iff_1) ).
fof(c_0_728_729,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
file('<stdin>',cls_abs__ge__zero_0) ).
fof(c_0_729_730,axiom,
! [X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
file('<stdin>',cls_linorder__neq__iff_1) ).
fof(c_0_730_731,axiom,
! [X5,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
file('<stdin>',cls_order__less__le_1) ).
fof(c_0_731_732,axiom,
! [X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
file('<stdin>',cls_order__less__irrefl_0) ).
fof(c_0_732_733,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_left__minus_0) ).
fof(c_0_733_734,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_right__minus_0) ).
fof(c_0_734_735,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_ab__left__minus_0) ).
fof(c_0_735_736,axiom,
! [X2,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_eq__neg__iff__add__eq__0_0) ).
fof(c_0_736_737,axiom,
! [X3,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = X3
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__if__lattice_1) ).
fof(c_0_737_738,axiom,
! [X1,X4] :
( ~ class_RealVector_Oreal__normed__algebra__1(X4)
| ~ class_Int_Onumber__ring(X4)
| c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X1,X4),X4) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__number__of_0) ).
fof(c_0_738_739,axiom,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__ge__zero_0) ).
fof(c_0_739_740,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(X3,c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
file('<stdin>',cls_abs__ge__self_0) ).
fof(c_0_740_741,axiom,
! [X3,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(X3,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4),X4) = X3 ),
file('<stdin>',cls_add__numeral__0__right_0) ).
fof(c_0_741_742,axiom,
! [X3,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4),X3,X4) = X3 ),
file('<stdin>',cls_add__numeral__0_0) ).
fof(c_0_742_743,axiom,
! [X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__self__if_0) ).
fof(c_0_743_744,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oabs__if(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = X3
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_abs__if_1) ).
fof(c_0_744_745,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4) ),
file('<stdin>',cls_group__add__class_Odiff__0_0) ).
fof(c_0_745_746,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_eq__divide__eq_2) ).
fof(c_0_746_747,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__eq__eq_1) ).
fof(c_0_747_748,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__zero_0) ).
fof(c_0_748_749,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(X3,X3,X4) = c_HOL_Oone__class_Oone(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__self__if_1) ).
fof(c_0_749_750,axiom,
! [X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_double__eq__0__iff_1) ).
fof(c_0_750_751,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| X5 = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_class__ringb_Oadd__r0__iff_1) ).
fof(c_0_751_752,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
file('<stdin>',cls_zero__le__one_0) ).
fof(c_0_752_753,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
file('<stdin>',cls_zero__less__one_0) ).
fof(c_0_753_754,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_class__ringb_Osubr0__iff_1) ).
fof(c_0_754_755,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult__eq__0__iff_2) ).
fof(c_0_755_756,axiom,
! [X2,X4] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult__eq__0__iff_1) ).
fof(c_0_756_757,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Omult__zero(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult__zero__right_0) ).
fof(c_0_757_758,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Omult__zero(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult__zero__left_0) ).
fof(c_0_758_759,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_class__semiring_Omul__0_0) ).
fof(c_0_759_760,axiom,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult__right_Ozero_0) ).
fof(c_0_760_761,axiom,
! [X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult_Ozero__right_0) ).
fof(c_0_761_762,axiom,
! [X2,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult_Ozero__left_0) ).
fof(c_0_762_763,axiom,
! [X7,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X7,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_mult__left_Ozero_0) ).
fof(c_0_763_764,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I10_J_0) ).
fof(c_0_764_765,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I9_J_0) ).
fof(c_0_765_766,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__zero__left_0) ).
fof(c_0_766_767,axiom,
! [X7,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),X7,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide_Ozero_0) ).
fof(c_0_767_768,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(X3,X3,X4) = c_HOL_Oone__class_Oone(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_divide__self_0) ).
fof(c_0_768_769,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(X5,X5,X4) = c_HOL_Oone__class_Oone(X4) ),
file('<stdin>',cls_right__inverse__eq_1) ).
fof(c_0_769_770,axiom,
! [X6] :
( c_HOL_Oabs__class_Oabs(X6,tc_RealDef_Oreal) = X6
| c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__abs__def_1) ).
fof(c_0_770_771,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Omonoid__mult(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
file('<stdin>',cls_mult__1__right_0) ).
fof(c_0_771_772,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Omonoid__mult(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
file('<stdin>',cls_mult__1__left_0) ).
fof(c_0_772_773,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
file('<stdin>',cls_mult__1_0) ).
fof(c_0_773_774,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X5,X4) = X5 ),
file('<stdin>',cls_class__semiring_Omul__1_0) ).
fof(c_0_774_775,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I12_J_0) ).
fof(c_0_775_776,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I11_J_0) ).
fof(c_0_776_777,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Omonoid__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
file('<stdin>',cls_monoid__add__class_Oadd__0__right_0) ).
fof(c_0_777_778,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Omonoid__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
file('<stdin>',cls_add__0__left_0) ).
fof(c_0_778_779,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
file('<stdin>',cls_comm__monoid__add_Omult__1__right_0) ).
fof(c_0_779_780,axiom,
! [X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X5,X4) = X5 ),
file('<stdin>',cls_class__semiring_Oadd__0_0) ).
fof(c_0_780_781,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
file('<stdin>',cls_comm__monoid__add_Omult__1_0) ).
fof(c_0_781_782,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I6_J_0) ).
fof(c_0_782_783,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I5_J_0) ).
fof(c_0_783_784,axiom,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
file('<stdin>',cls_divide__1_0) ).
fof(c_0_784_785,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
file('<stdin>',cls_diff__0__right_0) ).
fof(c_0_785_786,axiom,
! [X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_eq__iff__diff__eq__0_0) ).
fof(c_0_786_787,axiom,
! [X5,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_right__minus__eq_1) ).
fof(c_0_787_788,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_diff__self_0) ).
fof(c_0_788_789,axiom,
! [X5,X4] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X4)
| c_HOL_Otimes__class_Otimes(X5,X5,X4) = X5 ),
file('<stdin>',cls_mult__idem_0) ).
fof(c_0_789_790,axiom,
! [X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X5,X5,X4) ),
file('<stdin>',cls_order__eq__iff_0) ).
fof(c_0_790_791,axiom,
! [X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X5,X5,X4) ),
file('<stdin>',cls_order__eq__refl_0) ).
fof(c_0_791_792,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Oabs__class_Oabs(X3,X4) ),
file('<stdin>',cls_abs__minus__cancel_0) ).
fof(c_0_792_793,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X3,X4),X4) = c_HOL_Oabs__class_Oabs(X3,X4) ),
file('<stdin>',cls_abs__idempotent_0) ).
fof(c_0_793_794,axiom,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_RealVector_Onorm__class_Onorm(X5,X4) ),
file('<stdin>',cls_norm__minus__cancel_0) ).
fof(c_0_794_795,axiom,
! [X7,X5,X4] :
( ~ class_Int_Oring__char__0(X4)
| ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(X5,X4) != c_Int_Onumber__class_Onumber__of(X7,X4)
| X5 = X7 ),
file('<stdin>',cls_eq__number__of_0) ).
fof(c_0_795_796,axiom,
! [X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X3,X4),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X3,X4) ),
file('<stdin>',cls_abs__norm__cancel_0) ).
fof(c_0_796_797,axiom,
! [X7,X5,X4] :
( ~ class_Lattices_Oboolean__algebra(X4)
| c_HOL_Ouminus__class_Ouminus(X5,X4) != c_HOL_Ouminus__class_Ouminus(X7,X4)
| X5 = X7 ),
file('<stdin>',cls_compl__eq__compl__iff_0) ).
fof(c_0_797_798,axiom,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(X3,X4) != c_HOL_Ouminus__class_Ouminus(X2,X4)
| X3 = X2 ),
file('<stdin>',cls_neg__equal__iff__equal_0) ).
fof(c_0_798_799,axiom,
! [X2,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = X2 ),
file('<stdin>',cls_minus__equation__iff_1) ).
fof(c_0_799_800,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| X3 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
file('<stdin>',cls_equation__minus__iff_1) ).
fof(c_0_800_801,axiom,
! [X2,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
file('<stdin>',cls_equation__minus__iff_0) ).
fof(c_0_801_802,axiom,
! [X5,X4] :
( ~ class_Lattices_Oboolean__algebra(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = X5 ),
file('<stdin>',cls_double__compl_0) ).
fof(c_0_802_803,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = X3 ),
file('<stdin>',cls_minus__minus_0) ).
fof(c_0_803_804,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_abs__eq__0_0) ).
fof(c_0_804_805,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_neg__equal__0__iff__equal_0) ).
fof(c_0_805_806,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ozero__class_Ozero(X4) != c_HOL_Ouminus__class_Ouminus(X3,X4)
| c_HOL_Ozero__class_Ozero(X4) = X3 ),
file('<stdin>',cls_neg__0__equal__iff__equal_0) ).
fof(c_0_806_807,axiom,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_RealVector_Onorm__class_Onorm(X5,X4) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_norm__eq__zero_0) ).
fof(c_0_807_808,axiom,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_HOL_Ouminus__class_Ouminus(X3,X4) != X3
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_neg__equal__zero_0) ).
fof(c_0_808_809,axiom,
! [X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
file('<stdin>',cls_abs__one_0) ).
fof(c_0_809_810,axiom,
! [X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) ),
file('<stdin>',cls_neg__0__equal__iff__equal_1) ).
fof(c_0_810_811,axiom,
! [X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_minus__zero_0) ).
fof(c_0_811_812,axiom,
! [X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_neg__equal__zero_1) ).
fof(c_0_812_813,axiom,
! [X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_abs__eq__0_1) ).
fof(c_0_813_814,axiom,
! [X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__zero_0) ).
fof(c_0_814_815,axiom,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Oone__class_Oone(X4) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4) ),
file('<stdin>',cls_comp__arith_I110_J_0) ).
fof(c_0_815_816,axiom,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4) = c_HOL_Oone__class_Oone(X4) ),
file('<stdin>',cls_numeral__1__eq__1_0) ).
fof(c_0_816_817,axiom,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4) = c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_number__of__Pls_0) ).
fof(c_0_817_818,axiom,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4) ),
file('<stdin>',cls_comp__arith_I112_J_0) ).
fof(c_0_818_819,axiom,
! [X4] :
( ~ class_Ring__and__Field_Ozero__neq__one(X4)
| c_HOL_Ozero__class_Ozero(X4) != c_HOL_Oone__class_Oone(X4) ),
file('<stdin>',cls_zero__neq__one_0) ).
fof(c_0_819_820,axiom,
! [X4] :
( ~ class_Ring__and__Field_Ozero__neq__one(X4)
| c_HOL_Oone__class_Oone(X4) != c_HOL_Ozero__class_Ozero(X4) ),
file('<stdin>',cls_one__neq__zero_0) ).
fof(c_0_820_821,axiom,
! [X7,X5] :
( c_NthRoot_Osqrt(X5) != c_NthRoot_Osqrt(X7)
| X5 = X7 ),
file('<stdin>',cls_real__sqrt__eq__iff_0) ).
fof(c_0_821_822,axiom,
! [X12,X13] :
( c_Int_OBit0(X13) != c_Int_OBit0(X12)
| X13 = X12 ),
file('<stdin>',cls_rel__simps_I48_J_0) ).
fof(c_0_822_823,axiom,
! [X12,X13] :
( c_Int_OBit1(X13) != c_Int_OBit1(X12)
| X13 = X12 ),
file('<stdin>',cls_rel__simps_I51_J_0) ).
fof(c_0_823_824,axiom,
! [X5] :
( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__eq__0__iff_0) ).
fof(c_0_824_825,axiom,
! [X13] :
( c_Int_OBit0(X13) != c_Int_OPls
| X13 = c_Int_OPls ),
file('<stdin>',cls_rel__simps_I44_J_0) ).
fof(c_0_825_826,axiom,
! [X12] :
( c_Int_OPls != c_Int_OBit0(X12)
| c_Int_OPls = X12 ),
file('<stdin>',cls_rel__simps_I38_J_0) ).
fof(c_0_826_827,plain,
! [X16] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X16,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X16,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_827_828,plain,
! [X1] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_828_829,plain,
! [X7,X5,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X3,X4),c_HOL_Ominus__class_Ominus(X7,X2,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X3,X4),X2,X4),X4),c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(X7,X2,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_829_830,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X7),c_Transcendental_Otan(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_830_831,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X7),c_Transcendental_Otan(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_831_832,plain,
! [X16] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X16,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X16,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_832_833,plain,
! [X16] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X16,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X16,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X16,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_833_834,plain,
! [X11,X1,X18,X19] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X18,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(X18,X11,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X19,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X11,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X19,X18,X11),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X11,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X19,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_834_835,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X15,X16,X4),X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X15,X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X16,X4),X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_835_836,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X15,X16,X4),X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X15,X4),X4),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X16,X4),X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_836_837,plain,
! [X21,X16,X15,X2,X3,X4] :
( ~ class_RealVector_Oreal__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X15,X16,X4),X4),X21,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X2,X16,X4),X21,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X15,X4),X21,X4),X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_837_838,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4)
| ~ c_lessequals(X15,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_838_839,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X16,X4) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_839_840,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_840_841,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X16,X4) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_841_842,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(X15,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_842_843,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X16,X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_843_844,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_844_845,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X16,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_845_846,plain,
! [X7,X5] :
( c_lessequals(c_Transcendental_Osin(X7),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_846_847,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X7),c_Transcendental_Otan(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_847_848,plain,
! [X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_848_849,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_849_850,plain,
! [X7,X5] :
( c_lessequals(X5,c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_850_851,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_851_852,plain,
! [X19,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_852_853,plain,
! [X19,X16,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_853_854,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_854_855,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_855_856,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_856_857,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_857_858,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_858_859,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_859_860,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_860_861,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_861_862,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_862_863,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_863_864,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_864_865,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_865_866,plain,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X1,X11,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X11,X4),c_HOL_Otimes__class_Otimes(X1,X7,X4),X4),c_HOL_Otimes__class_Otimes(X7,X11,X4),X4)
| X11 = c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_866_867,plain,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X1,X11,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X11,X4),c_HOL_Otimes__class_Otimes(X1,X7,X4),X4),c_HOL_Otimes__class_Otimes(X7,X11,X4),X4)
| X11 = c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_867_868,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_868_869,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_869_870,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_870_871,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_871_872,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X5,c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_872_873,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_873_874,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_874_875,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_875_876,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4)
| X15 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X19,X4),X16,X4) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_876_877,plain,
! [X19,X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),X15,X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X16,X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),X19,X4),X15,X4) = X16 ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_877_878,plain,
! [X19,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Osemiring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X19,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X19,X4),X15,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X19,X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_878_879,plain,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X7,X4),c_HOL_Otimes__class_Otimes(X5,X11,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X11,X4),c_HOL_Otimes__class_Otimes(X5,X7,X4),X4)
| X7 = X11
| X1 = X5 ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_879_880,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X16,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| X15 = X16
| X3 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_880_881,plain,
! [X5,X6,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X6,X4)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X3,X6,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X6,X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_881_882,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_882_883,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_883_884,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_884_885,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_885_886,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_886_887,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_887_888,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_888_889,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_889_890,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_890_891,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_891_892,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_892_893,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_893_894,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_894_895,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_895_896,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_896_897,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_897_898,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_898_899,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_899_900,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_900_901,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_901_902,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_902_903,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_903_904,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_904_905,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_905_906,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_906_907,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_907_908,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_908_909,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_909_910,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_910_911,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_911_912,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_912_913,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_913_914,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_914_915,plain,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_915_916,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_916_917,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_917_918,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X15,X3,X4),c_HOL_Oinverse__class_Odivide(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_918_919,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X15,X3,X4),c_HOL_Oinverse__class_Odivide(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_919_920,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X15,X3,X4),c_HOL_Oinverse__class_Odivide(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_920_921,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X15,X3,X4),c_HOL_Oinverse__class_Odivide(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_921_922,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_922_923,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_923_924,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_924_925,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_925_926,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_926_927,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_927_928,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_928_929,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_929_930,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_930_931,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_931_932,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_932_933,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_933_934,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_934_935,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_935_936,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_936_937,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_937_938,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_938_939,plain,
! [X7,X5,X20,X6,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4),c_HOL_Otimes__class_Otimes(X6,X20,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X7,X4),X20,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),X6,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_939_940,plain,
! [X7,X5,X20,X6,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X7,X4),X4),c_HOL_Oplus__class_Oplus(X6,X20,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X7,X4),X20,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),X6,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_940_941,plain,
! [X29,X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(X30,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),X29,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_941_942,plain,
! [X29,X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X30,X29,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_942_943,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_943_944,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_944_945,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_945_946,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_946_947,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_947_948,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_948_949,plain,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X11,X4),c_HOL_Oinverse__class_Odivide(X7,X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,X11,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X1,X4)
| ~ c_lessequals(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_949_950,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_950_951,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_951_952,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_952_953,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X16,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_953_954,plain,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X11,X4),c_HOL_Oinverse__class_Odivide(X7,X1,X4),X4)
| ~ c_lessequals(X1,X11,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_954_955,plain,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X11,X4),c_HOL_Oinverse__class_Odivide(X7,X1,X4),X4)
| ~ c_lessequals(X1,X11,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X1,X4)
| ~ c_lessequals(X5,X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_955_956,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),c_HOL_Otimes__class_Otimes(X15,X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X2,X4),X16,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_956_957,plain,
! [X5,X6,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X3,X6,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_957_958,plain,
! [X5,X6,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X6,X4),X5,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X3,X4),X4),X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_958_959,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_959_960,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_960_961,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_961_962,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_962_963,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_963_964,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Osin(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_964_965,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_965_966,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_966_967,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_967_968,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_968_969,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_969_970,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_970_971,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_971_972,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_972_973,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_973_974,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_974_975,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_975_976,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_976_977,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_977_978,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_978_979,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_979_980,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_980_981,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_981_982,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_982_983,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_983_984,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_984_985,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_985_986,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_986_987,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_987_988,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_988_989,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_989_990,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_990_991,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_991_992,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_992_993,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_993_994,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_lessequals(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_994_995,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_lessequals(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_995_996,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_996_997,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X2,X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_997_998,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_171 ).
fof(c_0_998_999,axiom,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_172 ).
fof(c_0_999_1000,plain,
! [X26,X2,X3,X4] :
( ~ class_Ring__and__Field_Osemiring(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_Int_Onumber__class_Onumber__of(X26,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X26,X4),X4),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X26,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_1000_1001,plain,
! [X26,X15,X2,X4] :
( ~ class_Ring__and__Field_Osemiring(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),X2,X4),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_1001_1002,plain,
! [X26,X15,X2,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),c_HOL_Ominus__class_Ominus(X2,X15,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),X2,X4),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X26,X4),X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_175]) ).
fof(c_0_1002_1003,plain,
! [X26,X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_Int_Onumber__class_Onumber__of(X26,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X26,X4),X4),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X26,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_176]) ).
fof(c_0_1003_1004,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oplus__class_Oplus(X11,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X11,X7,X4),X4),X7,X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_1004_1005,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X11,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X11,X7,X4),X4),X7,X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_1005_1006,plain,
! [X11,X7,X5] :
( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X11,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X11,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_1006_1007,plain,
! [X11,X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X11,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_1007_1008,plain,
! [X11,X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X11,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X11,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_1008_1009,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_1009_1010,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_1010_1011,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X5,X11,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X11,X4),c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_1011_1012,plain,
! [X5,X16,X15,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X15,X4),c_HOL_Otimes__class_Otimes(X5,X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X16,X4),c_HOL_Otimes__class_Otimes(X5,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_185]) ).
fof(c_0_1012_1013,plain,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Oinverse__class_Odivide(X11,X1,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X11,X4),c_HOL_Otimes__class_Otimes(X7,X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_1013_1014,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_1014_1015,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_1015_1016,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_1016_1017,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_190]) ).
fof(c_0_1017_1018,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Oplus__class_Oplus(X15,X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_1018_1019,plain,
! [X29,X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X30,X4),c_HOL_Otimes__class_Otimes(X31,X29,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_1019_1020,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ominus__class_Ominus(X15,X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_1020_1021,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_1021_1022,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_1022_1023,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_1023_1024,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_1024_1025,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_198]) ).
fof(c_0_1025_1026,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_199]) ).
fof(c_0_1026_1027,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_200]) ).
fof(c_0_1027_1028,plain,
! [X5,X6,X16,X15,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X15,X4),X4) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X6,X16,X4),X4)
| X15 = X16
| X6 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_1028_1029,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_1029_1030,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_1030_1031,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_1031_1032,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_1032_1033,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_1033_1034,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_1034_1035,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_1035_1036,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_1036_1037,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_1037_1038,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_1038_1039,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_1039_1040,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_1040_1041,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X11,X4)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Otimes__class_Otimes(X11,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_1041_1042,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(X11,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X7,X4),X5,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_1042_1043,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(X11,c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X11,X7,X4),X5,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_216]) ).
fof(c_0_1043_1044,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X11,X4)
| ~ c_lessequals(X5,c_HOL_Otimes__class_Otimes(X11,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_217]) ).
fof(c_0_1044_1045,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Olordered__ring(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_218]) ).
fof(c_0_1045_1046,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_219]) ).
fof(c_0_1046_1047,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_220]) ).
fof(c_0_1047_1048,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_1048_1049,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_1049_1050,plain,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X7,X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_223]) ).
fof(c_0_1050_1051,plain,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_224]) ).
fof(c_0_1051_1052,plain,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_225]) ).
fof(c_0_1052_1053,plain,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_226]) ).
fof(c_0_1053_1054,plain,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_227]) ).
fof(c_0_1054_1055,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_228]) ).
fof(c_0_1055_1056,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_1056_1057,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_1057_1058,plain,
! [X1,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_1058_1059,plain,
! [X6,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X6,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_1059_1060,axiom,
! [X11,X7,X5] :
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X5,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X7,X11,tc_RealDef_Oreal)
| X5 = c_HOL_Oinverse__class_Odivide(X7,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X11,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_233 ).
fof(c_0_1060_1061,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_1061_1062,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_235]) ).
fof(c_0_1062_1063,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_1063_1064,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_237]) ).
fof(c_0_1064_1065,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X15,c_HOL_Oabs__class_Oabs(X2,X4),X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_238]) ).
fof(c_0_1065_1066,axiom,
! [X7,X5] :
( c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X5),c_Transcendental_Otan(X7),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X7),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Ocos(X7) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_239 ).
fof(c_0_1066_1067,plain,
! [X7,X5,X15,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Otimes__class_Otimes(X15,c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_240]) ).
fof(c_0_1067_1068,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_241]) ).
fof(c_0_1068_1069,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_242]) ).
fof(c_0_1069_1070,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_243]) ).
fof(c_0_1070_1071,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_244]) ).
fof(c_0_1071_1072,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_245]) ).
fof(c_0_1072_1073,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),c_HOL_Oinverse__class_Odivide(X3,X15,X4),X4)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_246]) ).
fof(c_0_1073_1074,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_247]) ).
fof(c_0_1074_1075,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_248]) ).
fof(c_0_1075_1076,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Omult__mono(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_249]) ).
fof(c_0_1076_1077,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Omult__mono(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_250]) ).
fof(c_0_1077_1078,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Omult__mono1(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_251]) ).
fof(c_0_1078_1079,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_252]) ).
fof(c_0_1079_1080,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_253]) ).
fof(c_0_1080_1081,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_254]) ).
fof(c_0_1081_1082,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_255]) ).
fof(c_0_1082_1083,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_256]) ).
fof(c_0_1083_1084,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_257]) ).
fof(c_0_1084_1085,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_258]) ).
fof(c_0_1085_1086,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_259]) ).
fof(c_0_1086_1087,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_260]) ).
fof(c_0_1087_1088,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_261]) ).
fof(c_0_1088_1089,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_262]) ).
fof(c_0_1089_1090,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_263]) ).
fof(c_0_1090_1091,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4)
| ~ c_lessequals(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_264]) ).
fof(c_0_1091_1092,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_265]) ).
fof(c_0_1092_1093,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_266]) ).
fof(c_0_1093_1094,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X5,X7,X4),X5,X4)
| ~ c_lessequals(X7,c_HOL_Oone__class_Oone(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_267]) ).
fof(c_0_1094_1095,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X7,X5,X4),X5,X4)
| ~ c_lessequals(X7,c_HOL_Oone__class_Oone(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_268]) ).
fof(c_0_1095_1096,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_269]) ).
fof(c_0_1096_1097,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_270]) ).
fof(c_0_1097_1098,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_271]) ).
fof(c_0_1098_1099,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_272]) ).
fof(c_0_1099_1100,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_273]) ).
fof(c_0_1100_1101,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_lessequals(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_274]) ).
fof(c_0_1101_1102,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_275]) ).
fof(c_0_1102_1103,plain,
! [X16,X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X16,X4),X4)
| ~ c_HOL_Oord__class_Oless(X15,X16,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_276]) ).
fof(c_0_1103_1104,plain,
! [X7,X5,X15] :
( X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X15,c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X15,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_277]) ).
fof(c_0_1104_1105,plain,
! [X17] :
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X17,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X17,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_278]) ).
fof(c_0_1105_1106,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4) != c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_279]) ).
fof(c_0_1106_1107,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X4),c_HOL_Otimes__class_Otimes(X7,X7,X4),X4) != c_HOL_Ozero__class_Ozero(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_280]) ).
fof(c_0_1107_1108,plain,
! [X28,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X28,X4),c_HOL_Otimes__class_Otimes(X2,X28,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X28,X4) ),
inference(fof_simplification,[status(thm)],[c_0_281]) ).
fof(c_0_1108_1109,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_282]) ).
fof(c_0_1109_1110,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X7,X4),c_HOL_Otimes__class_Otimes(X5,X11,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_283]) ).
fof(c_0_1110_1111,plain,
! [X2,X24,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X24,X4),X2,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X24,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_284]) ).
fof(c_0_1111_1112,plain,
! [X14,X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X7,X4),X14,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X14,X4),c_HOL_Otimes__class_Otimes(X7,X14,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_285]) ).
fof(c_0_1112_1113,plain,
! [X25,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Oplus__class_Oplus(X2,X25,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X3,X25,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_286]) ).
fof(c_0_1113_1114,plain,
! [X7,X8,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X8,c_HOL_Oplus__class_Oplus(X5,X7,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X5,X4),c_HOL_Otimes__class_Otimes(X8,X7,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_287]) ).
fof(c_0_1114_1115,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_288]) ).
fof(c_0_1115_1116,plain,
! [X7,X8,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X8,c_HOL_Ominus__class_Ominus(X5,X7,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X8,X5,X4),c_HOL_Otimes__class_Otimes(X8,X7,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_289]) ).
fof(c_0_1116_1117,plain,
! [X25,X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ominus__class_Ominus(X2,X25,X4),X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X3,X25,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_290]) ).
fof(c_0_1117_1118,plain,
! [X2,X24,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X24,X4),X2,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Otimes__class_Otimes(X24,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_291]) ).
fof(c_0_1118_1119,plain,
! [X14,X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X7,X4),X14,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X14,X4),c_HOL_Otimes__class_Otimes(X7,X14,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_292]) ).
fof(c_0_1119_1120,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_293]) ).
fof(c_0_1120_1121,plain,
! [X14,X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X5,X7,X4),X14,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X5,X14,X4),c_HOL_Oinverse__class_Odivide(X7,X14,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_294]) ).
fof(c_0_1121_1122,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X3,X2,X4),X15,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X3,X15,X4),c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_295]) ).
fof(c_0_1122_1123,plain,
! [X14,X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X5,X7,X4),X14,X4) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X5,X14,X4),c_HOL_Oinverse__class_Odivide(X7,X14,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_296]) ).
fof(c_0_1123_1124,plain,
! [X11,X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X11,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X11,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_297]) ).
fof(c_0_1124_1125,plain,
! [X11,X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X11,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_298]) ).
fof(c_0_1125,plain,
! [X11,X7,X5] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X11,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X11,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_299]) ).
fof(c_0_1126,plain,
! [X11,X7,X5] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X5,X11,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X11,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_300]) ).
fof(c_0_1127,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_301]) ).
fof(c_0_1128,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X2,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_302]) ).
fof(c_0_1129,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_303]) ).
fof(c_0_1130,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_304]) ).
fof(c_0_1131,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_305]) ).
fof(c_0_1132,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_306]) ).
fof(c_0_1133,axiom,
! [X7,X5] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_307 ).
fof(c_0_1134,axiom,
! [X7,X5] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_308 ).
fof(c_0_1135,plain,
! [X11,X7,X5,X17,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) != c_HOL_Oplus__class_Oplus(X7,X17,X4)
| c_HOL_Oplus__class_Oplus(X5,X11,X4) = X17 ),
inference(fof_simplification,[status(thm)],[c_0_309]) ).
fof(c_0_1136,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_310]) ).
fof(c_0_1137,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_311]) ).
fof(c_0_1138,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_312]) ).
fof(c_0_1139,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_313]) ).
fof(c_0_1140,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_314]) ).
fof(c_0_1141,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_315]) ).
fof(c_0_1142,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_316]) ).
fof(c_0_1143,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_317]) ).
fof(c_0_1144,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_318]) ).
fof(c_0_1145,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_319]) ).
fof(c_0_1146,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_320]) ).
fof(c_0_1147,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_321]) ).
fof(c_0_1148,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_322]) ).
fof(c_0_1149,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_323]) ).
fof(c_0_1150,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_324]) ).
fof(c_0_1151,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_325]) ).
fof(c_0_1152,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_326]) ).
fof(c_0_1153,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_327]) ).
fof(c_0_1154,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_328]) ).
fof(c_0_1155,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_329]) ).
fof(c_0_1156,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_330]) ).
fof(c_0_1157,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_331]) ).
fof(c_0_1158,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_332]) ).
fof(c_0_1159,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_333]) ).
fof(c_0_1160,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_334]) ).
fof(c_0_1161,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_335]) ).
fof(c_0_1162,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_336]) ).
fof(c_0_1163,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_337]) ).
fof(c_0_1164,plain,
! [X6,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X6,X4) ),
inference(fof_simplification,[status(thm)],[c_0_338]) ).
fof(c_0_1165,plain,
! [X22,X23] :
( c_HOL_Oord__class_Oless(X22,X23,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X23,c_HOL_Ouminus__class_Ouminus(X22,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_339]) ).
fof(c_0_1166,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_340]) ).
fof(c_0_1167,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_341]) ).
fof(c_0_1168,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_342]) ).
fof(c_0_1169,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_343]) ).
fof(c_0_1170,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_344]) ).
fof(c_0_1171,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_345]) ).
fof(c_0_1172,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_346]) ).
fof(c_0_1173,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_347]) ).
fof(c_0_1174,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_348]) ).
fof(c_0_1175,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_349]) ).
fof(c_0_1176,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_350]) ).
fof(c_0_1177,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_351]) ).
fof(c_0_1178,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_352]) ).
fof(c_0_1179,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_353]) ).
fof(c_0_1180,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_354]) ).
fof(c_0_1181,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_355]) ).
fof(c_0_1182,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_356]) ).
fof(c_0_1183,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_357]) ).
fof(c_0_1184,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_358]) ).
fof(c_0_1185,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_359]) ).
fof(c_0_1186,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_360]) ).
fof(c_0_1187,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_361]) ).
fof(c_0_1188,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Opordered__ring(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_362]) ).
fof(c_0_1189,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_363]) ).
fof(c_0_1190,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_364]) ).
fof(c_0_1191,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_365]) ).
fof(c_0_1192,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_366]) ).
fof(c_0_1193,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_367]) ).
fof(c_0_1194,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_368]) ).
fof(c_0_1195,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_369]) ).
fof(c_0_1196,plain,
! [X27,X28,X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Otimes__class_Otimes(X28,X27,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X27,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),X28,X4) ),
inference(fof_simplification,[status(thm)],[c_0_370]) ).
fof(c_0_1197,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_371]) ).
fof(c_0_1198,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_372]) ).
fof(c_0_1199,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_373]) ).
fof(c_0_1200,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_374]) ).
fof(c_0_1201,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_375]) ).
fof(c_0_1202,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_376]) ).
fof(c_0_1203,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_377]) ).
fof(c_0_1204,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_378]) ).
fof(c_0_1205,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_379]) ).
fof(c_0_1206,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X5,X7,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_380]) ).
fof(c_0_1207,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_381]) ).
fof(c_0_1208,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_382]) ).
fof(c_0_1209,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_383]) ).
fof(c_0_1210,plain,
! [X7,X5] :
( c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_384]) ).
fof(c_0_1211,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_385]) ).
fof(c_0_1212,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_386]) ).
fof(c_0_1213,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_387]) ).
fof(c_0_1214,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_388]) ).
fof(c_0_1215,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_389]) ).
fof(c_0_1216,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X15,X4),c_HOL_Oplus__class_Oplus(X2,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_390]) ).
fof(c_0_1217,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_391]) ).
fof(c_0_1218,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X15,X3,X4),c_HOL_Oplus__class_Oplus(X15,X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_392]) ).
fof(c_0_1219,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_lessequals(X2,X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_393]) ).
fof(c_0_1220,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_lessequals(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_lessequals(X2,X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_394]) ).
fof(c_0_1221,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_lessequals(X2,X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_395]) ).
fof(c_0_1222,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X4)
| ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X15,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_396]) ).
fof(c_0_1223,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_397]) ).
fof(c_0_1224,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_398]) ).
fof(c_0_1225,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_399]) ).
fof(c_0_1226,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_400]) ).
fof(c_0_1227,plain,
! [X7,X5] :
( c_lessequals(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_401]) ).
fof(c_0_1228,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X7),c_Transcendental_Ocos(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_402]) ).
fof(c_0_1229,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_403]) ).
fof(c_0_1230,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,X15,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_404]) ).
fof(c_0_1231,plain,
! [X7,X5] :
( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X5,X7,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_405]) ).
fof(c_0_1232,plain,
! [X7,X5] :
( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_406]) ).
fof(c_0_1233,plain,
! [X1,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_Int_Onumber__class_Onumber__of(X26,X4),X4)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X26,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_407]) ).
fof(c_0_1234,plain,
! [X11,X7,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X11,X5,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X11,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_408]) ).
fof(c_0_1235,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X15,X3,X4),c_HOL_Otimes__class_Otimes(X15,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_409]) ).
fof(c_0_1236,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_410]) ).
fof(c_0_1237,plain,
! [X28,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X28,c_HOL_Otimes__class_Otimes(X3,X28,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X28,X4) ),
inference(fof_simplification,[status(thm)],[c_0_411]) ).
fof(c_0_1238,plain,
! [X28,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X28,X4),X28,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X28,X4) ),
inference(fof_simplification,[status(thm)],[c_0_412]) ).
fof(c_0_1239,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_413]) ).
fof(c_0_1240,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_414]) ).
fof(c_0_1241,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_415]) ).
fof(c_0_1242,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_416]) ).
fof(c_0_1243,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_417]) ).
fof(c_0_1244,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_418]) ).
fof(c_0_1245,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X11,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X5,X11,X4),X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_419]) ).
fof(c_0_1246,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_420]) ).
fof(c_0_1247,plain,
! [X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_421]) ).
fof(c_0_1248,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_422]) ).
fof(c_0_1249,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_423]) ).
fof(c_0_1250,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_424]) ).
fof(c_0_1251,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_425]) ).
fof(c_0_1252,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_426]) ).
fof(c_0_1253,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X7,X11,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X5,X7,X4),X11,X4) ),
inference(fof_simplification,[status(thm)],[c_0_427]) ).
fof(c_0_1254,plain,
! [X29,X30,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(X30,c_HOL_Otimes__class_Otimes(X32,X29,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_428]) ).
fof(c_0_1255,plain,
! [X29,X30,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X30,X29,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X30,X4),X29,X4) ),
inference(fof_simplification,[status(thm)],[c_0_429]) ).
fof(c_0_1256,plain,
! [X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),X30,X4) = c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X31,X30,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_430]) ).
fof(c_0_1257,plain,
! [X30,X31,X32,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X31,X4),X30,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X32,X30,X4),X31,X4) ),
inference(fof_simplification,[status(thm)],[c_0_431]) ).
fof(c_0_1258,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X3,X2,X4),X15,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_432]) ).
fof(c_0_1259,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) = c_HOL_Oplus__class_Oplus(X2,c_HOL_Oplus__class_Oplus(X3,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_433]) ).
fof(c_0_1260,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_434]) ).
fof(c_0_1261,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X7,X4),X11,X4) ),
inference(fof_simplification,[status(thm)],[c_0_435]) ).
fof(c_0_1262,plain,
! [X11,X7,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) = c_HOL_Oplus__class_Oplus(X7,c_HOL_Oplus__class_Oplus(X5,X11,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_436]) ).
fof(c_0_1263,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Oab__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_437]) ).
fof(c_0_1264,plain,
! [X16,X15,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X15,X16,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X15,X4),X16,X4) ),
inference(fof_simplification,[status(thm)],[c_0_438]) ).
fof(c_0_1265,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X15,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_439]) ).
fof(c_0_1266,plain,
! [X16,X15,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X15,X16,X4),X4) = c_HOL_Oplus__class_Oplus(X15,c_HOL_Oplus__class_Oplus(X3,X16,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_440]) ).
fof(c_0_1267,plain,
! [X15,X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X15,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(X2,X15,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_441]) ).
fof(c_0_1268,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_442]) ).
fof(c_0_1269,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_443]) ).
fof(c_0_1270,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_444]) ).
fof(c_0_1271,plain,
! [X7,X5] :
( c_lessequals(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_445]) ).
fof(c_0_1272,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_446]) ).
fof(c_0_1273,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_447]) ).
fof(c_0_1274,plain,
! [X7,X5] :
( c_lessequals(c_Transcendental_Oln(X5),c_Transcendental_Oln(X7),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_448]) ).
fof(c_0_1275,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_449]) ).
fof(c_0_1276,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_450]) ).
fof(c_0_1277,plain,
! [X9,X7,X10,X5,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| c_lessequals(X9,X10,X4)
| ~ c_lessequals(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_451]) ).
fof(c_0_1278,plain,
! [X9,X7,X10,X5,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| c_lessequals(X7,X5,X4)
| ~ c_lessequals(X9,X10,X4) ),
inference(fof_simplification,[status(thm)],[c_0_452]) ).
fof(c_0_1279,plain,
! [X9,X7,X10,X5,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| c_HOL_Oord__class_Oless(X10,X9,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_453]) ).
fof(c_0_1280,plain,
! [X9,X7,X10,X5,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X10,X9,X4) ),
inference(fof_simplification,[status(thm)],[c_0_454]) ).
fof(c_0_1281,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X7),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_455]) ).
fof(c_0_1282,plain,
! [X7,X5] :
( c_lessequals(c_Transcendental_Ocos(X5),c_Transcendental_Ocos(X7),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(X7,X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_456]) ).
fof(c_0_1283,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X5,X4),X7,X4) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_457]) ).
fof(c_0_1284,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_458]) ).
fof(c_0_1285,plain,
! [X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_459]) ).
fof(c_0_1286,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X7,X4),X5,X4) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X7,X5,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_460]) ).
fof(c_0_1287,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_461]) ).
fof(c_0_1288,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_462]) ).
fof(c_0_1289,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_463]) ).
fof(c_0_1290,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_464]) ).
fof(c_0_1291,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_465]) ).
fof(c_0_1292,plain,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(X5,X7,X4) != c_HOL_Oinverse__class_Odivide(X1,X11,X4)
| X11 = c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Otimes__class_Otimes(X5,X11,X4) = c_HOL_Otimes__class_Otimes(X1,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_466]) ).
fof(c_0_1293,plain,
! [X11,X7,X5,X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Otimes__class_Otimes(X5,X11,X4) != c_HOL_Otimes__class_Otimes(X1,X7,X4)
| X11 = c_HOL_Ozero__class_Ozero(X4)
| X7 = c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(X5,X7,X4) = c_HOL_Oinverse__class_Odivide(X1,X11,X4) ),
inference(fof_simplification,[status(thm)],[c_0_467]) ).
fof(c_0_1294,plain,
! [X7,X5,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4)
| X7 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_468]) ).
fof(c_0_1295,plain,
! [X7,X5,X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X7,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X5,X4)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_469]) ).
fof(c_0_1296,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_470]) ).
fof(c_0_1297,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_471]) ).
fof(c_0_1298,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_472]) ).
fof(c_0_1299,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X4),X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_473]) ).
fof(c_0_1300,plain,
! [X22,X23] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X23,c_HOL_Ouminus__class_Ouminus(X22,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X22,X23,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_474]) ).
fof(c_0_1301,plain,
! [X4] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_475]) ).
fof(c_0_1302,plain,
! [X1,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) = X3
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_476]) ).
fof(c_0_1303,plain,
! [X1,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_477]) ).
fof(c_0_1304,plain,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_478]) ).
fof(c_0_1305,plain,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) = X2
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_479]) ).
fof(c_0_1306,plain,
! [X5,X6] :
( c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
| ~ c_lessequals(X5,X6,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_480]) ).
fof(c_0_1307,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_481]) ).
fof(c_0_1308,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_482]) ).
fof(c_0_1309,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_483]) ).
fof(c_0_1310,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_484]) ).
fof(c_0_1311,plain,
! [X1,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_485]) ).
fof(c_0_1312,plain,
! [X1,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_486]) ).
fof(c_0_1313,plain,
! [X11,X7,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) != X7
| X5 = c_HOL_Ouminus__class_Ouminus(X11,X4) ),
inference(fof_simplification,[status(thm)],[c_0_487]) ).
fof(c_0_1314,plain,
! [X1,X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_488]) ).
fof(c_0_1315,plain,
! [X1,X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X15,X4) = c_Int_Onumber__class_Onumber__of(X1,X4) ),
inference(fof_simplification,[status(thm)],[c_0_489]) ).
fof(c_0_1316,plain,
! [X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_490]) ).
fof(c_0_1317,plain,
! [X1,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_491]) ).
fof(c_0_1318,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_492]) ).
fof(c_0_1319,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_493]) ).
fof(c_0_1320,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_494]) ).
fof(c_0_1321,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_495]) ).
fof(c_0_1322,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(X3,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_496]) ).
fof(c_0_1323,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_497]) ).
fof(c_0_1324,axiom,
! [X7,X5] :
( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_498 ).
fof(c_0_1325,axiom,
! [X7,X5] :
( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_499 ).
fof(c_0_1326,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_500]) ).
fof(c_0_1327,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X3,X2,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_501]) ).
fof(c_0_1328,plain,
! [X1,X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X15,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_502]) ).
fof(c_0_1329,plain,
! [X1,X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4),X15,X4) = c_Int_Onumber__class_Onumber__of(X1,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_503]) ).
fof(c_0_1330,plain,
! [X11,X18,X19] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X19,X18,X11),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X19,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_504]) ).
fof(c_0_1331,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_505]) ).
fof(c_0_1332,plain,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_506]) ).
fof(c_0_1333,plain,
! [X28,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X28,X28,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X28,X4) ),
inference(fof_simplification,[status(thm)],[c_0_507]) ).
fof(c_0_1334,plain,
! [X7,X5] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X5,X7,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_508]) ).
fof(c_0_1335,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_509]) ).
fof(c_0_1336,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_RealVector_Oreal__normed__field(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_510]) ).
fof(c_0_1337,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__field(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_511]) ).
fof(c_0_1338,plain,
! [X1,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X4) ),
inference(fof_simplification,[status(thm)],[c_0_512]) ).
fof(c_0_1339,plain,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X4),c_RealVector_Onorm__class_Onorm(X2,X4),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_513]) ).
fof(c_0_1340,plain,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X11,X5,X4)
| ~ c_lessequals(X11,X7,X4)
| ~ c_lessequals(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_514]) ).
fof(c_0_1341,plain,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X5,X11,X4)
| ~ c_lessequals(X7,X11,X4)
| ~ c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_515]) ).
fof(c_0_1342,plain,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X11,X5,X4)
| ~ c_lessequals(X11,X7,X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_516]) ).
fof(c_0_1343,plain,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X11,X5,X4)
| ~ c_HOL_Oord__class_Oless(X11,X7,X4)
| ~ c_lessequals(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_517]) ).
fof(c_0_1344,plain,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_HOL_Oord__class_Oless(X5,X11,X4)
| ~ c_lessequals(X7,X11,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_518]) ).
fof(c_0_1345,plain,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_HOL_Oord__class_Oless(X5,X11,X4)
| ~ c_HOL_Oord__class_Oless(X7,X11,X4)
| ~ c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_519]) ).
fof(c_0_1346,plain,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X11,X5,X4)
| ~ c_HOL_Oord__class_Oless(X11,X7,X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_520]) ).
fof(c_0_1347,plain,
! [X11,X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_HOL_Oord__class_Oless(X5,X11,X4)
| ~ c_HOL_Oord__class_Oless(X7,X11,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_521]) ).
fof(c_0_1348,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_522]) ).
fof(c_0_1349,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_523]) ).
fof(c_0_1350,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_524]) ).
fof(c_0_1351,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_525]) ).
fof(c_0_1352,plain,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__div__algebra(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X4),c_RealVector_Onorm__class_Onorm(X7,X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_526]) ).
fof(c_0_1353,plain,
! [X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_527]) ).
fof(c_0_1354,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_528]) ).
fof(c_0_1355,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X5,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_529]) ).
fof(c_0_1356,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_530]) ).
fof(c_0_1357,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_531]) ).
fof(c_0_1358,plain,
! [X1,X26,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ class_Int_Onumber(X4)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X26,X4),c_Int_Onumber__class_Onumber__of(X1,X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X4),c_Int_Onumber__class_Onumber__of(X26,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_532]) ).
fof(c_0_1359,plain,
! [X7,X5,X4] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X4)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) = c_HOL_Otimes__class_Otimes(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_533]) ).
fof(c_0_1360,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4),X4) = X2 ),
inference(fof_simplification,[status(thm)],[c_0_534]) ).
fof(c_0_1361,plain,
! [X13,X33,X34] :
( c_lessequals(X34,X13,tc_RealDef_Oreal)
| ~ c_lessequals(X33,X13,tc_RealDef_Oreal)
| ~ c_lessequals(X34,X33,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_535]) ).
fof(c_0_1362,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Oinverse__class_Odivide(X2,X15,X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4) = X2
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_536]) ).
fof(c_0_1363,plain,
! [X1,X15,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(X2,X15,X4) != c_Int_Onumber__class_Onumber__of(X1,X4)
| X2 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X4),X15,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_537]) ).
fof(c_0_1364,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_538]) ).
fof(c_0_1365,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_539]) ).
fof(c_0_1366,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_540]) ).
fof(c_0_1367,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_541]) ).
fof(c_0_1368,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
| ~ c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_542]) ).
fof(c_0_1369,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_543]) ).
fof(c_0_1370,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_544]) ).
fof(c_0_1371,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_545]) ).
fof(c_0_1372,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_546]) ).
fof(c_0_1373,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_547]) ).
fof(c_0_1374,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_548]) ).
fof(c_0_1375,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_549]) ).
fof(c_0_1376,plain,
! [X8,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X8,c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X5,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_550]) ).
fof(c_0_1377,plain,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_551]) ).
fof(c_0_1378,plain,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X7,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_552]) ).
fof(c_0_1379,plain,
! [X2,X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_553]) ).
fof(c_0_1380,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_554]) ).
fof(c_0_1381,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X3,X2,X4),X4) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_555]) ).
fof(c_0_1382,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X3,X2,X4),X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_556]) ).
fof(c_0_1383,plain,
! [X7,X5,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X5,X4),X7,X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X5,X7,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_557]) ).
fof(c_0_1384,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_558]) ).
fof(c_0_1385,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_559]) ).
fof(c_0_1386,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_560]) ).
fof(c_0_1387,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_561]) ).
fof(c_0_1388,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| c_lessequals(X7,X5,X4)
| ~ c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_562]) ).
fof(c_0_1389,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_563]) ).
fof(c_0_1390,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_564]) ).
fof(c_0_1391,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_565]) ).
fof(c_0_1392,plain,
! [X5,X6] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_566]) ).
fof(c_0_1393,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| c_HOL_Otimes__class_Otimes(X3,X3,X4) != c_HOL_Otimes__class_Otimes(X2,X2,X4)
| X3 = c_HOL_Ouminus__class_Ouminus(X2,X4)
| X3 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_567]) ).
fof(c_0_1394,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Oplus__class_Oplus(X3,X2,X4),X4) = X2 ),
inference(fof_simplification,[status(thm)],[c_0_568]) ).
fof(c_0_1395,plain,
! [X11,X7,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X4),c_HOL_Oplus__class_Oplus(X7,X11,X4),X4) = X7 ),
inference(fof_simplification,[status(thm)],[c_0_569]) ).
fof(c_0_1396,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_570]) ).
fof(c_0_1397,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_571]) ).
fof(c_0_1398,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_572]) ).
fof(c_0_1399,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_573]) ).
fof(c_0_1400,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_574]) ).
fof(c_0_1401,plain,
! [X7,X5] :
( c_Transcendental_Oln(X5) != c_Transcendental_Oln(X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| X5 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_575]) ).
fof(c_0_1402,plain,
! [X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X15,X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_576]) ).
fof(c_0_1403,plain,
! [X15,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X15,X4),X15,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_577]) ).
fof(c_0_1404,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_578]) ).
fof(c_0_1405,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_579]) ).
fof(c_0_1406,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_580]) ).
fof(c_0_1407,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_581]) ).
fof(c_0_1408,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(X3,X2,X4)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_582]) ).
fof(c_0_1409,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_583]) ).
fof(c_0_1410,plain,
! [X11,X7,X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(X5,X7,X4) != c_HOL_Oplus__class_Oplus(X5,X11,X4)
| X7 = X11 ),
inference(fof_simplification,[status(thm)],[c_0_584]) ).
fof(c_0_1411,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_585]) ).
fof(c_0_1412,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_586]) ).
fof(c_0_1413,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_lessequals(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_587]) ).
fof(c_0_1414,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_588]) ).
fof(c_0_1415,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_589]) ).
fof(c_0_1416,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X4) = c_HOL_Ominus__class_Ominus(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_590]) ).
fof(c_0_1417,plain,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),X15,X4) = X3
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_591]) ).
fof(c_0_1418,plain,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),X15,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_592]) ).
fof(c_0_1419,plain,
! [X15,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| X2 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X15,X4)
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_593]) ).
fof(c_0_1420,plain,
! [X15,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X2,X15,X4),X15,X4) = X2
| X15 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_594]) ).
fof(c_0_1421,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| X5 = X7
| ~ c_lessequals(X5,X7,X4)
| ~ c_lessequals(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_595]) ).
fof(c_0_1422,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| X5 = X7
| ~ c_lessequals(X7,X5,X4)
| ~ c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_596]) ).
fof(c_0_1423,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| X5 = X7
| ~ c_lessequals(X7,X5,X4)
| ~ c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_597]) ).
fof(c_0_1424,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X3,c_HOL_Oone__class_Oone(X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_598]) ).
fof(c_0_1425,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(X2,X3,X4) != c_HOL_Oplus__class_Oplus(X15,X3,X4)
| X2 = X15 ),
inference(fof_simplification,[status(thm)],[c_0_599]) ).
fof(c_0_1426,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Oplus__class_Oplus(X3,X15,X4)
| X2 = X15 ),
inference(fof_simplification,[status(thm)],[c_0_600]) ).
fof(c_0_1427,plain,
! [X15,X2,X3,X4] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Oplus__class_Oplus(X3,X15,X4)
| X2 = X15 ),
inference(fof_simplification,[status(thm)],[c_0_601]) ).
fof(c_0_1428,plain,
! [X9,X10,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X5,X4) != c_HOL_Ominus__class_Ominus(X10,X9,X4)
| X10 = X9 ),
inference(fof_simplification,[status(thm)],[c_0_602]) ).
fof(c_0_1429,plain,
! [X7,X8,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X8,X7,X4) != c_HOL_Ominus__class_Ominus(X5,X5,X4)
| X8 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_603]) ).
fof(c_0_1430,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| ~ c_lessequals(X7,X5,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_604]) ).
fof(c_0_1431,plain,
! [X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X5,X5,X4)
| ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_605]) ).
fof(c_0_1432,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_lessequals(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_606]) ).
fof(c_0_1433,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_607]) ).
fof(c_0_1434,plain,
! [X2,X3,X4] :
( ~ class_Orderings_Opreorder(X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_608]) ).
fof(c_0_1435,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_609]) ).
fof(c_0_1436,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_610]) ).
fof(c_0_1437,plain,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_HOL_Oord__class_Oless(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_611]) ).
fof(c_0_1438,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_612]) ).
fof(c_0_1439,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Otimes__class_Otimes(X3,X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_613]) ).
fof(c_0_1440,plain,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| X15 = c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),X15,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_614]) ).
fof(c_0_1441,plain,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| X15 = c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,X15,X4),X15,X4) ),
inference(fof_simplification,[status(thm)],[c_0_615]) ).
fof(c_0_1442,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oinverse__class_Odivide(X3,X2,X4)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_616]) ).
fof(c_0_1443,plain,
! [X5,X6] :
( c_lessequals(X5,X6,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_617]) ).
fof(c_0_1444,axiom,
! [X15,X2,X3] :
( c_HOL_Otimes__class_Otimes(X3,X15,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X15,tc_RealDef_Oreal)
| X15 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X3 = X2 ),
c_0_618 ).
fof(c_0_1445,axiom,
! [X15,X2,X3] :
( c_HOL_Otimes__class_Otimes(X15,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X15,X2,tc_RealDef_Oreal)
| X15 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X3 = X2 ),
c_0_619 ).
fof(c_0_1446,plain,
! [X11,X1] :
( X11 = X1
| ~ c_lessequals(X1,X11,tc_RealDef_Oreal)
| ~ c_lessequals(X11,X1,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_620]) ).
fof(c_0_1447,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X3,X2,X4),X2,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_621]) ).
fof(c_0_1448,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X3,X2,X4),X2,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_622]) ).
fof(c_0_1449,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),X2,X4) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_623]) ).
fof(c_0_1450,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Otimes__class_Otimes(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_624]) ).
fof(c_0_1451,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X2,X4),c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Otimes__class_Otimes(X2,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_625]) ).
fof(c_0_1452,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) = c_HOL_Otimes__class_Otimes(X3,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_626]) ).
fof(c_0_1453,plain,
! [X11,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(X11,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X4) = c_HOL_Oplus__class_Oplus(X11,X11,X4) ),
inference(fof_simplification,[status(thm)],[c_0_627]) ).
fof(c_0_1454,plain,
! [X11,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4),X11,X4) = c_HOL_Oplus__class_Oplus(X11,X11,X4) ),
inference(fof_simplification,[status(thm)],[c_0_628]) ).
fof(c_0_1455,axiom,
! [X5] :
( X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_629 ).
fof(c_0_1456,plain,
! [X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_630]) ).
fof(c_0_1457,plain,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) != c_Int_Onumber__class_Onumber__of(X1,X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_631]) ).
fof(c_0_1458,plain,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_632]) ).
fof(c_0_1459,plain,
! [X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_633]) ).
fof(c_0_1460,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_634]) ).
fof(c_0_1461,plain,
! [X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_635]) ).
fof(c_0_1462,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X5,X4),X4) = c_Int_Onumber__class_Onumber__of(X5,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_636]) ).
fof(c_0_1463,plain,
! [X7] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_637]) ).
fof(c_0_1464,plain,
! [X5] :
( c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_638]) ).
fof(c_0_1465,plain,
! [X5] :
( c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_639]) ).
fof(c_0_1466,plain,
! [X7] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_640]) ).
fof(c_0_1467,plain,
! [X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_641]) ).
fof(c_0_1468,plain,
! [X7] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_642]) ).
fof(c_0_1469,plain,
! [X5] :
( c_lessequals(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_643]) ).
fof(c_0_1470,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_644]) ).
fof(c_0_1471,plain,
! [X7] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_645]) ).
fof(c_0_1472,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_646]) ).
fof(c_0_1473,plain,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| X3 = X2
| ~ c_lessequals(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_647]) ).
fof(c_0_1474,plain,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X2,X3,X4)
| ~ c_lessequals(X2,X3,X4)
| X3 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_648]) ).
fof(c_0_1475,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_649]) ).
fof(c_0_1476,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| X5 = X7
| ~ c_lessequals(X5,X7,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_650]) ).
fof(c_0_1477,plain,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| ~ c_lessequals(X3,X2,X4)
| X3 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_651]) ).
fof(c_0_1478,plain,
! [X2,X3,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X3,X2,X4)
| X3 = X2
| ~ c_lessequals(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_652]) ).
fof(c_0_1479,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X5,X7,X4)
| ~ c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_653]) ).
fof(c_0_1480,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| X5 = X7
| ~ c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_654]) ).
fof(c_0_1481,plain,
! [X7,X5] :
( c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_655]) ).
fof(c_0_1482,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X7),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_656]) ).
fof(c_0_1483,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_657]) ).
fof(c_0_1484,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_658]) ).
fof(c_0_1485,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X5,X7,X4)
| ~ c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_659]) ).
fof(c_0_1486,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X5),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_660]) ).
fof(c_0_1487,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X3,X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_661]) ).
fof(c_0_1488,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_662]) ).
fof(c_0_1489,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = c_HOL_Oplus__class_Oplus(X3,X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_663]) ).
fof(c_0_1490,plain,
! [X7,X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_664]) ).
fof(c_0_1491,plain,
! [X7,X5,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X7,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_665]) ).
fof(c_0_1492,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_666]) ).
fof(c_0_1493,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_667]) ).
fof(c_0_1494,plain,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_668]) ).
fof(c_0_1495,plain,
! [X7,X5] :
( c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal)
| X5 = X7
| ~ c_lessequals(X5,X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_669]) ).
fof(c_0_1496,plain,
! [X3,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_670]) ).
fof(c_0_1497,plain,
! [X7,X5] :
( c_lessequals(X5,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X7,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_671]) ).
fof(c_0_1498,plain,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_672]) ).
fof(c_0_1499,plain,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_673]) ).
fof(c_0_1500,plain,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X1,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_674]) ).
fof(c_0_1501,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_675]) ).
fof(c_0_1502,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_676]) ).
fof(c_0_1503,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oabs__if(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_677]) ).
fof(c_0_1504,axiom,
! [X5,X3] :
( c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X3,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = X3 ),
c_0_678 ).
fof(c_0_1505,plain,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) = c_Int_Onumber__class_Onumber__of(X1,X4) ),
inference(fof_simplification,[status(thm)],[c_0_679]) ).
fof(c_0_1506,plain,
! [X1,X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_Int_Onumber__class_Onumber__of(X1,X4) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_680]) ).
fof(c_0_1507,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oord__class_Oless(X7,X5,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| X5 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_681]) ).
fof(c_0_1508,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X7,X5,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_682]) ).
fof(c_0_1509,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X5,X7,X4)
| c_HOL_Oord__class_Oless(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_683]) ).
fof(c_0_1510,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X7,X5,X4)
| X5 = X7
| c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_684]) ).
fof(c_0_1511,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X7,X5,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| X5 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_685]) ).
fof(c_0_1512,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = X3
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_686]) ).
fof(c_0_1513,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = X3
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_687]) ).
fof(c_0_1514,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X7,X5,X4)
| c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_688]) ).
fof(c_0_1515,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X5,X7,X4)
| c_lessequals(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_689]) ).
fof(c_0_1516,plain,
! [X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X5,X5,X4)
| c_lessequals(X5,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_690]) ).
fof(c_0_1517,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(X7,X5,X4)
| c_HOL_Oord__class_Oless(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_691]) ).
fof(c_0_1518,plain,
! [X7,X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| c_HOL_Oord__class_Oless(X7,X5,X4)
| c_lessequals(X5,X7,X4) ),
inference(fof_simplification,[status(thm)],[c_0_692]) ).
fof(c_0_1519,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) = c_HOL_Oplus__class_Oplus(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_693]) ).
fof(c_0_1520,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X5,X7,X4) = c_HOL_Oplus__class_Oplus(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_694]) ).
fof(c_0_1521,plain,
! [X15,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X3,X15,X4) = c_HOL_Oplus__class_Oplus(X15,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_695]) ).
fof(c_0_1522,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X5,X7,X4) = c_HOL_Otimes__class_Otimes(X7,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_696]) ).
fof(c_0_1523,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X3,X2,X4) = c_HOL_Otimes__class_Otimes(X2,X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_697]) ).
fof(c_0_1524,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Ouminus__class_Ouminus(X3,X4) = X2 ),
inference(fof_simplification,[status(thm)],[c_0_698]) ).
fof(c_0_1525,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ouminus__class_Ouminus(X2,X4) ),
inference(fof_simplification,[status(thm)],[c_0_699]) ).
fof(c_0_1526,plain,
! [X5,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Ouminus__class_Ouminus(X5,X4) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(c_HOL_Oone__class_Oone(X4),X4),X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_700]) ).
fof(c_0_1527,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_701]) ).
fof(c_0_1528,plain,
! [X6] :
( c_HOL_Oabs__class_Oabs(X6,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_702]) ).
fof(c_0_1529,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_703]) ).
fof(c_0_1530,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_704]) ).
fof(c_0_1531,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X2 = c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_705]) ).
fof(c_0_1532,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X2 = c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_706]) ).
fof(c_0_1533,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4)
| X2 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_707]) ).
fof(c_0_1534,plain,
! [X7,X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Ominus__class_Ominus(X5,X7,X4) != c_HOL_Ozero__class_Ozero(X4)
| X5 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_708]) ).
fof(c_0_1535,plain,
! [X5,X3,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| X5 != c_HOL_Oplus__class_Oplus(X5,X3,X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_709]) ).
fof(c_0_1536,plain,
! [X2,X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(X3,X2,X4) != c_HOL_Oone__class_Oone(X4)
| X2 = c_HOL_Ozero__class_Ozero(X4)
| X3 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_710]) ).
fof(c_0_1537,axiom,
! [X11,X1] :
( c_lessequals(X1,X11,tc_RealDef_Oreal)
| c_lessequals(X11,X1,tc_RealDef_Oreal) ),
c_0_711 ).
fof(c_0_1538,plain,
! [X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_712]) ).
fof(c_0_1539,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oplus__class_Oplus(X3,X3,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_713]) ).
fof(c_0_1540,plain,
! [X5] :
( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_714]) ).
fof(c_0_1541,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_715]) ).
fof(c_0_1542,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_716]) ).
fof(c_0_1543,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4),X4) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_717]) ).
fof(c_0_1544,plain,
! [X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_718]) ).
fof(c_0_1545,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_719]) ).
fof(c_0_1546,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X2,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_720]) ).
fof(c_0_1547,axiom,
! [X7,X5] :
( c_HOL_Oplus__class_Oplus(X5,X7,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X7 = c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal) ),
c_0_721 ).
fof(c_0_1548,plain,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X4),c_HOL_Oone__class_Oone(X4),X4) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X4) ),
inference(fof_simplification,[status(thm)],[c_0_722]) ).
fof(c_0_1549,plain,
! [X5] :
( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_723]) ).
fof(c_0_1550,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(X3,X4),X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_724]) ).
fof(c_0_1551,plain,
! [X3,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_725]) ).
fof(c_0_1552,plain,
! [X3,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4),X3,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_726]) ).
fof(c_0_1553,plain,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_727]) ).
fof(c_0_1554,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_728]) ).
fof(c_0_1555,plain,
! [X5,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_729]) ).
fof(c_0_1556,plain,
! [X5,X4] :
( ~ class_Orderings_Oorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_730]) ).
fof(c_0_1557,plain,
! [X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| ~ c_HOL_Oord__class_Oless(X5,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_731]) ).
fof(c_0_1558,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_732]) ).
fof(c_0_1559,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_733]) ).
fof(c_0_1560,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X3,X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_734]) ).
fof(c_0_1561,plain,
! [X2,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_735]) ).
fof(c_0_1562,plain,
! [X3,X4] :
( ~ class_Orderings_Olinorder(X4)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = X3
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_736]) ).
fof(c_0_1563,plain,
! [X1,X4] :
( ~ class_RealVector_Oreal__normed__algebra__1(X4)
| ~ class_Int_Onumber__ring(X4)
| c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X1,X4),X4) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_737]) ).
fof(c_0_1564,plain,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_738]) ).
fof(c_0_1565,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_lessequals(X3,c_HOL_Oabs__class_Oabs(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_739]) ).
fof(c_0_1566,plain,
! [X3,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(X3,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_740]) ).
fof(c_0_1567,plain,
! [X3,X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4),X3,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_741]) ).
fof(c_0_1568,plain,
! [X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_742]) ).
fof(c_0_1569,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oabs__if(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) = X3
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_743]) ).
fof(c_0_1570,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ouminus__class_Ouminus(X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_744]) ).
fof(c_0_1571,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_745]) ).
fof(c_0_1572,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(X2,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_746]) ).
fof(c_0_1573,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_747]) ).
fof(c_0_1574,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| c_HOL_Oinverse__class_Odivide(X3,X3,X4) = c_HOL_Oone__class_Oone(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_748]) ).
fof(c_0_1575,plain,
! [X4] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_749]) ).
fof(c_0_1576,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| X5 = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_750]) ).
fof(c_0_1577,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_lessequals(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_751]) ).
fof(c_0_1578,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__semidom(X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_HOL_Oone__class_Oone(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_752]) ).
fof(c_0_1579,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Oidom(X4)
| ~ class_Int_Onumber__ring(X4)
| c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_753]) ).
fof(c_0_1580,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_754]) ).
fof(c_0_1581,plain,
! [X2,X4] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_755]) ).
fof(c_0_1582,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Omult__zero(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_756]) ).
fof(c_0_1583,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Omult__zero(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_757]) ).
fof(c_0_1584,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_758]) ).
fof(c_0_1585,plain,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_759]) ).
fof(c_0_1586,plain,
! [X3,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_760]) ).
fof(c_0_1587,plain,
! [X2,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X2,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_761]) ).
fof(c_0_1588,plain,
! [X7,X4] :
( ~ class_RealVector_Oreal__normed__algebra(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X7,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_762]) ).
fof(c_0_1589,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_763]) ).
fof(c_0_1590,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_764]) ).
fof(c_0_1591,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_765]) ).
fof(c_0_1592,plain,
! [X7,X4] :
( ~ class_RealVector_Oreal__normed__field(X4)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X4),X7,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_766]) ).
fof(c_0_1593,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(X3,X3,X4) = c_HOL_Oone__class_Oone(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_767]) ).
fof(c_0_1594,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| X5 = c_HOL_Ozero__class_Ozero(X4)
| c_HOL_Oinverse__class_Odivide(X5,X5,X4) = c_HOL_Oone__class_Oone(X4) ),
inference(fof_simplification,[status(thm)],[c_0_768]) ).
fof(c_0_1595,axiom,
! [X6] :
( c_HOL_Oabs__class_Oabs(X6,tc_RealDef_Oreal) = X6
| c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_769 ).
fof(c_0_1596,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Omonoid__mult(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_770]) ).
fof(c_0_1597,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Omonoid__mult(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_771]) ).
fof(c_0_1598,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_772]) ).
fof(c_0_1599,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X5,X4) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_773]) ).
fof(c_0_1600,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_774]) ).
fof(c_0_1601,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X4),X3,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_775]) ).
fof(c_0_1602,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Omonoid__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_776]) ).
fof(c_0_1603,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Omonoid__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_777]) ).
fof(c_0_1604,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_778]) ).
fof(c_0_1605,plain,
! [X5,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X5,X4) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_779]) ).
fof(c_0_1606,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_780]) ).
fof(c_0_1607,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_781]) ).
fof(c_0_1608,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X4)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X4),X3,X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_782]) ).
fof(c_0_1609,plain,
! [X3,X4] :
( ~ class_Ring__and__Field_Ofield(X4)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Oone__class_Oone(X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_783]) ).
fof(c_0_1610,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,c_HOL_Ozero__class_Ozero(X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_784]) ).
fof(c_0_1611,plain,
! [X5,X4] :
( ~ class_OrderedGroup_Oab__group__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_785]) ).
fof(c_0_1612,plain,
! [X5,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X5,X5,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_786]) ).
fof(c_0_1613,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ominus__class_Ominus(X3,X3,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_787]) ).
fof(c_0_1614,plain,
! [X5,X4] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X4)
| c_HOL_Otimes__class_Otimes(X5,X5,X4) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_788]) ).
fof(c_0_1615,plain,
! [X5,X4] :
( ~ class_Orderings_Oorder(X4)
| c_lessequals(X5,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_789]) ).
fof(c_0_1616,plain,
! [X5,X4] :
( ~ class_Orderings_Opreorder(X4)
| c_lessequals(X5,X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_790]) ).
fof(c_0_1617,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = c_HOL_Oabs__class_Oabs(X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_791]) ).
fof(c_0_1618,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X3,X4),X4) = c_HOL_Oabs__class_Oabs(X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_792]) ).
fof(c_0_1619,plain,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = c_RealVector_Onorm__class_Onorm(X5,X4) ),
inference(fof_simplification,[status(thm)],[c_0_793]) ).
fof(c_0_1620,plain,
! [X7,X5,X4] :
( ~ class_Int_Oring__char__0(X4)
| ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(X5,X4) != c_Int_Onumber__class_Onumber__of(X7,X4)
| X5 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_794]) ).
fof(c_0_1621,plain,
! [X3,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X3,X4),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X3,X4) ),
inference(fof_simplification,[status(thm)],[c_0_795]) ).
fof(c_0_1622,plain,
! [X7,X5,X4] :
( ~ class_Lattices_Oboolean__algebra(X4)
| c_HOL_Ouminus__class_Ouminus(X5,X4) != c_HOL_Ouminus__class_Ouminus(X7,X4)
| X5 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_796]) ).
fof(c_0_1623,plain,
! [X2,X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(X3,X4) != c_HOL_Ouminus__class_Ouminus(X2,X4)
| X3 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_797]) ).
fof(c_0_1624,plain,
! [X2,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X4),X4) = X2 ),
inference(fof_simplification,[status(thm)],[c_0_798]) ).
fof(c_0_1625,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| X3 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_799]) ).
fof(c_0_1626,plain,
! [X2,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| X2 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X2,X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_800]) ).
fof(c_0_1627,plain,
! [X5,X4] :
( ~ class_Lattices_Oboolean__algebra(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X4),X4) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_801]) ).
fof(c_0_1628,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X3,X4),X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_802]) ).
fof(c_0_1629,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_803]) ).
fof(c_0_1630,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(X3,X4) != c_HOL_Ozero__class_Ozero(X4)
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_804]) ).
fof(c_0_1631,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ozero__class_Ozero(X4) != c_HOL_Ouminus__class_Ouminus(X3,X4)
| c_HOL_Ozero__class_Ozero(X4) = X3 ),
inference(fof_simplification,[status(thm)],[c_0_805]) ).
fof(c_0_1632,plain,
! [X5,X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_RealVector_Onorm__class_Onorm(X5,X4) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_806]) ).
fof(c_0_1633,plain,
! [X3,X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_HOL_Ouminus__class_Ouminus(X3,X4) != X3
| X3 = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_807]) ).
fof(c_0_1634,plain,
! [X4] :
( ~ class_Ring__and__Field_Oordered__idom(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X4),X4) = c_HOL_Oone__class_Oone(X4) ),
inference(fof_simplification,[status(thm)],[c_0_808]) ).
fof(c_0_1635,plain,
! [X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(fof_simplification,[status(thm)],[c_0_809]) ).
fof(c_0_1636,plain,
! [X4] :
( ~ class_OrderedGroup_Ogroup__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_810]) ).
fof(c_0_1637,plain,
! [X4] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_811]) ).
fof(c_0_1638,plain,
! [X4] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
| c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_812]) ).
fof(c_0_1639,plain,
! [X4] :
( ~ class_RealVector_Oreal__normed__vector(X4)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X4),X4) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_813]) ).
fof(c_0_1640,plain,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Oone__class_Oone(X4) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4) ),
inference(fof_simplification,[status(thm)],[c_0_814]) ).
fof(c_0_1641,plain,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X4) = c_HOL_Oone__class_Oone(X4) ),
inference(fof_simplification,[status(thm)],[c_0_815]) ).
fof(c_0_1642,plain,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4) = c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_816]) ).
fof(c_0_1643,plain,
! [X4] :
( ~ class_Int_Onumber__ring(X4)
| c_HOL_Ozero__class_Ozero(X4) = c_Int_Onumber__class_Onumber__of(c_Int_OPls,X4) ),
inference(fof_simplification,[status(thm)],[c_0_817]) ).
fof(c_0_1644,plain,
! [X4] :
( ~ class_Ring__and__Field_Ozero__neq__one(X4)
| c_HOL_Ozero__class_Ozero(X4) != c_HOL_Oone__class_Oone(X4) ),
inference(fof_simplification,[status(thm)],[c_0_818]) ).
fof(c_0_1645,plain,
! [X4] :
( ~ class_Ring__and__Field_Ozero__neq__one(X4)
| c_HOL_Oone__class_Oone(X4) != c_HOL_Ozero__class_Ozero(X4) ),
inference(fof_simplification,[status(thm)],[c_0_819]) ).
fof(c_0_1646,axiom,
! [X7,X5] :
( c_NthRoot_Osqrt(X5) != c_NthRoot_Osqrt(X7)
| X5 = X7 ),
c_0_820 ).
fof(c_0_1647,axiom,
! [X12,X13] :
( c_Int_OBit0(X13) != c_Int_OBit0(X12)
| X13 = X12 ),
c_0_821 ).
fof(c_0_1648,axiom,
! [X12,X13] :
( c_Int_OBit1(X13) != c_Int_OBit1(X12)
| X13 = X12 ),
c_0_822 ).
fof(c_0_1649,axiom,
! [X5] :
( c_NthRoot_Osqrt(X5) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_823 ).
fof(c_0_1650,axiom,
! [X13] :
( c_Int_OBit0(X13) != c_Int_OPls
| X13 = c_Int_OPls ),
c_0_824 ).
fof(c_0_1651,axiom,
! [X12] :
( c_Int_OPls != c_Int_OBit0(X12)
| c_Int_OPls = X12 ),
c_0_825 ).
fof(c_0_1652,plain,
! [X17] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X17,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X17,tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_826])])]) ).
fof(c_0_1653,plain,
! [X2] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_827]) ).
fof(c_0_1654,plain,
! [X8,X9,X10,X11,X12] :
( ~ class_RealVector_Oreal__normed__algebra(X12)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X9,X8,X12),c_HOL_Otimes__class_Otimes(X11,X10,X12),X12) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X11,X12),c_HOL_Ominus__class_Ominus(X8,X10,X12),X12),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X11,X12),X10,X12),X12),c_HOL_Otimes__class_Otimes(X11,c_HOL_Ominus__class_Ominus(X8,X10,X12),X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_828]) ).
fof(c_0_1655,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(X8,X9,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X8),c_Transcendental_Otan(X9),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X8,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_829]) ).
fof(c_0_1656,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X8),c_Transcendental_Otan(X9),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X8,X9,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X8,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_830]) ).
fof(c_0_1657,plain,
! [X17] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X17,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X17,tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_831])])]) ).
fof(c_0_1658,plain,
! [X17] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X17,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X17,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X17,tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_832])])]) ).
fof(c_0_1659,plain,
! [X20,X21,X22,X23] :
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X22,X21,tc_Complex_Ocomplex),c_Polynomial_Opoly(X22,X20,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X23,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X21,X20,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X23,X22,X20),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X21,X20,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X23,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_833]) ).
fof(c_0_1660,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X21)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X20,X19,X21),c_HOL_Oplus__class_Oplus(X18,X17,X21),X21),X21),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X20,X18,X21),X21),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X19,X17,X21),X21),X21),X21) ),
inference(variable_rename,[status(thm)],[c_0_834]) ).
fof(c_0_1661,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_RealVector_Oreal__normed__vector(X21)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X20,X19,X21),c_HOL_Oplus__class_Oplus(X18,X17,X21),X21),X21),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X20,X18,X21),X21),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X19,X17,X21),X21),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_835]) ).
fof(c_0_1662,plain,
! [X22,X23,X24,X25,X26,X27] :
( ~ class_RealVector_Oreal__field(X27)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X26,X25,X27),c_HOL_Otimes__class_Otimes(X24,X23,X27),X27),X22,X27) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X26,c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X25,X23,X27),X22,X27),X27),c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X26,X24,X27),X22,X27),X23,X27),X27) ),
inference(variable_rename,[status(thm)],[c_0_836]) ).
fof(c_0_1663,plain,
! [X20,X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Opordered__ring(X25)
| c_lessequals(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),X25)
| ~ c_lessequals(X22,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X23,X24,X25),X20,X25),X21,X25),X25) ),
inference(variable_rename,[status(thm)],[c_0_837]) ).
fof(c_0_1664,plain,
! [X20,X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Opordered__ring(X25)
| c_lessequals(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),X25)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X23,X25),X20,X25),X22,X25),X21,X25) ),
inference(variable_rename,[status(thm)],[c_0_838]) ).
fof(c_0_1665,plain,
! [X20,X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Opordered__ring(X25)
| c_HOL_Oord__class_Oless(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),X25)
| ~ c_HOL_Oord__class_Oless(X22,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X23,X24,X25),X20,X25),X21,X25),X25) ),
inference(variable_rename,[status(thm)],[c_0_839]) ).
fof(c_0_1666,plain,
! [X20,X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Opordered__ring(X25)
| c_HOL_Oord__class_Oless(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),X25)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X23,X25),X20,X25),X22,X25),X21,X25) ),
inference(variable_rename,[status(thm)],[c_0_840]) ).
fof(c_0_1667,plain,
! [X20,X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Opordered__ring(X25)
| c_lessequals(X22,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X23,X24,X25),X20,X25),X21,X25),X25)
| ~ c_lessequals(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),X25) ),
inference(variable_rename,[status(thm)],[c_0_841]) ).
fof(c_0_1668,plain,
! [X20,X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Opordered__ring(X25)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X23,X25),X20,X25),X22,X25),X21,X25)
| ~ c_lessequals(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),X25) ),
inference(variable_rename,[status(thm)],[c_0_842]) ).
fof(c_0_1669,plain,
! [X20,X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Opordered__ring(X25)
| c_HOL_Oord__class_Oless(X22,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X23,X24,X25),X20,X25),X21,X25),X25)
| ~ c_HOL_Oord__class_Oless(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),X25) ),
inference(variable_rename,[status(thm)],[c_0_843]) ).
fof(c_0_1670,plain,
! [X20,X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Opordered__ring(X25)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X23,X25),X20,X25),X22,X25),X21,X25)
| ~ c_HOL_Oord__class_Oless(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),X25) ),
inference(variable_rename,[status(thm)],[c_0_844]) ).
fof(c_0_1671,plain,
! [X8,X9] :
( c_lessequals(c_Transcendental_Osin(X8),c_Transcendental_Osin(X9),tc_RealDef_Oreal)
| ~ c_lessequals(X9,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X8,X9,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_845]) ).
fof(c_0_1672,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X8),c_Transcendental_Otan(X9),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X8,X9,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_846]) ).
fof(c_0_1673,plain,
! [X6] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X6),tc_RealDef_Oreal)
| ~ c_lessequals(X6,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_847]) ).
fof(c_0_1674,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X6),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_848]) ).
fof(c_0_1675,plain,
! [X8,X9] :
( c_lessequals(X9,c_HOL_Oinverse__class_Odivide(X8,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X9,c_HOL_Oinverse__class_Odivide(X8,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_849]) ).
fof(c_0_1676,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_850]) ).
fof(c_0_1677,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_851]) ).
fof(c_0_1678,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_852]) ).
fof(c_0_1679,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| ~ c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_853]) ).
fof(c_0_1680,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_854]) ).
fof(c_0_1681,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_855]) ).
fof(c_0_1682,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_856]) ).
fof(c_0_1683,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_857]) ).
fof(c_0_1684,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_858]) ).
fof(c_0_1685,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_859]) ).
fof(c_0_1686,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_860]) ).
fof(c_0_1687,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| ~ c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_861]) ).
fof(c_0_1688,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_862]) ).
fof(c_0_1689,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_863]) ).
fof(c_0_1690,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_864]) ).
fof(c_0_1691,plain,
! [X12,X13,X14,X15,X16] :
( ~ class_Ring__and__Field_Ofield(X16)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X14,X13,X16),c_HOL_Oinverse__class_Odivide(X15,X12,X16),X16) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X14,X12,X16),c_HOL_Otimes__class_Otimes(X15,X13,X16),X16),c_HOL_Otimes__class_Otimes(X13,X12,X16),X16)
| X12 = c_HOL_Ozero__class_Ozero(X16)
| X13 = c_HOL_Ozero__class_Ozero(X16) ),
inference(variable_rename,[status(thm)],[c_0_865]) ).
fof(c_0_1692,plain,
! [X12,X13,X14,X15,X16] :
( ~ class_Ring__and__Field_Ofield(X16)
| c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X14,X13,X16),c_HOL_Oinverse__class_Odivide(X15,X12,X16),X16) = c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X14,X12,X16),c_HOL_Otimes__class_Otimes(X15,X13,X16),X16),c_HOL_Otimes__class_Otimes(X13,X12,X16),X16)
| X12 = c_HOL_Ozero__class_Ozero(X16)
| X13 = c_HOL_Ozero__class_Ozero(X16) ),
inference(variable_rename,[status(thm)],[c_0_866]) ).
fof(c_0_1693,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_867]) ).
fof(c_0_1694,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_868]) ).
fof(c_0_1695,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_869]) ).
fof(c_0_1696,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_870]) ).
fof(c_0_1697,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X9,c_HOL_Oinverse__class_Odivide(X8,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_lessequals(X9,c_HOL_Oinverse__class_Odivide(X8,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_871]) ).
fof(c_0_1698,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
| X8 = c_HOL_Ozero__class_Ozero(X10)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),c_HOL_Ozero__class_Ozero(X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_872]) ).
fof(c_0_1699,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
| X9 = c_HOL_Ozero__class_Ozero(X10)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),c_HOL_Ozero__class_Ozero(X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_873]) ).
fof(c_0_1700,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),c_HOL_Ozero__class_Ozero(X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_874]) ).
fof(c_0_1701,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_875]) ).
fof(c_0_1702,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_876]) ).
fof(c_0_1703,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_877]) ).
fof(c_0_1704,plain,
! [X12,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,X13,X16),c_HOL_Otimes__class_Otimes(X14,X12,X16),X16) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X15,X12,X16),c_HOL_Otimes__class_Otimes(X14,X13,X16),X16)
| X13 = X12
| X15 = X14 ),
inference(variable_rename,[status(thm)],[c_0_878]) ).
fof(c_0_1705,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_879]) ).
fof(c_0_1706,plain,
! [X7,X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__idom(X10)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X7,X9,X10),X10),X8,X10)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Oplus__class_Oplus(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X9,X8,X10),X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_880]) ).
fof(c_0_1707,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_881]) ).
fof(c_0_1708,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_882]) ).
fof(c_0_1709,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_883]) ).
fof(c_0_1710,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_884]) ).
fof(c_0_1711,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_885]) ).
fof(c_0_1712,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_886]) ).
fof(c_0_1713,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_887]) ).
fof(c_0_1714,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_888]) ).
fof(c_0_1715,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_889]) ).
fof(c_0_1716,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| ~ c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_890]) ).
fof(c_0_1717,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_891]) ).
fof(c_0_1718,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_892]) ).
fof(c_0_1719,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_893]) ).
fof(c_0_1720,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_894]) ).
fof(c_0_1721,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_895]) ).
fof(c_0_1722,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| ~ c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_896]) ).
fof(c_0_1723,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_897]) ).
fof(c_0_1724,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_898]) ).
fof(c_0_1725,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_899]) ).
fof(c_0_1726,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_900]) ).
fof(c_0_1727,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_901]) ).
fof(c_0_1728,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_902]) ).
fof(c_0_1729,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_903]) ).
fof(c_0_1730,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_904]) ).
fof(c_0_1731,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_905]) ).
fof(c_0_1732,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_906]) ).
fof(c_0_1733,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_907]) ).
fof(c_0_1734,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_908]) ).
fof(c_0_1735,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_909]) ).
fof(c_0_1736,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_910]) ).
fof(c_0_1737,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_911]) ).
fof(c_0_1738,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_912]) ).
fof(c_0_1739,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_913]) ).
fof(c_0_1740,plain,
! [X5,X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X6,X7),c_RealVector_Onorm__class_Onorm(X5,X7),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_914]) ).
fof(c_0_1741,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X7),c_HOL_Oone__class_Oone(X7),X7),X7),X7)
| ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_915]) ).
fof(c_0_1742,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X7),c_HOL_Oone__class_Oone(X7),X7),X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_916]) ).
fof(c_0_1743,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X16,X18,X19),c_HOL_Oinverse__class_Odivide(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),c_HOL_Otimes__class_Otimes(X18,X17,X19),X19)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_917]) ).
fof(c_0_1744,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X16,X18,X19),c_HOL_Oinverse__class_Odivide(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),c_HOL_Otimes__class_Otimes(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(X17,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_918]) ).
fof(c_0_1745,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X16,X18,X19),c_HOL_Oinverse__class_Odivide(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),c_HOL_Otimes__class_Otimes(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_919]) ).
fof(c_0_1746,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X16,X18,X19),c_HOL_Oinverse__class_Odivide(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),c_HOL_Otimes__class_Otimes(X18,X17,X19),X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(X17,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_920]) ).
fof(c_0_1747,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_921]) ).
fof(c_0_1748,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_lessequals(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_922]) ).
fof(c_0_1749,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_923]) ).
fof(c_0_1750,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_924]) ).
fof(c_0_1751,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_925]) ).
fof(c_0_1752,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_926]) ).
fof(c_0_1753,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_927]) ).
fof(c_0_1754,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X7,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X6,X8) ),
inference(variable_rename,[status(thm)],[c_0_928]) ).
fof(c_0_1755,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_929]) ).
fof(c_0_1756,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_930]) ).
fof(c_0_1757,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_931]) ).
fof(c_0_1758,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_932]) ).
fof(c_0_1759,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_933]) ).
fof(c_0_1760,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_934]) ).
fof(c_0_1761,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_935]) ).
fof(c_0_1762,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_936]) ).
fof(c_0_1763,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_937]) ).
fof(c_0_1764,plain,
! [X21,X22,X23,X24,X25] :
( ~ class_RealVector_Oreal__normed__algebra(X25)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X22,X21,X25),X25),c_HOL_Otimes__class_Otimes(X24,X23,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X21,X25),X23,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X22,X25),X24,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_938]) ).
fof(c_0_1765,plain,
! [X21,X22,X23,X24,X25] :
( ~ class_RealVector_Oreal__normed__vector(X25)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X22,X21,X25),X25),c_HOL_Oplus__class_Oplus(X24,X23,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X21,X25),X23,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X22,X25),X24,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_939]) ).
fof(c_0_1766,plain,
! [X33,X34,X35,X36,X37] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X37)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X36,X35,X37),c_HOL_Otimes__class_Otimes(X34,X33,X37),X37) = c_HOL_Otimes__class_Otimes(X34,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X36,X35,X37),X33,X37),X37) ),
inference(variable_rename,[status(thm)],[c_0_940]) ).
fof(c_0_1767,plain,
! [X33,X34,X35,X36,X37] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X37)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X36,X35,X37),c_HOL_Otimes__class_Otimes(X34,X33,X37),X37) = c_HOL_Otimes__class_Otimes(X36,c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X34,X33,X37),X37),X37) ),
inference(variable_rename,[status(thm)],[c_0_941]) ).
fof(c_0_1768,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_942]) ).
fof(c_0_1769,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_943]) ).
fof(c_0_1770,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_944]) ).
fof(c_0_1771,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_945]) ).
fof(c_0_1772,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Opordered__semiring(X21)
| c_lessequals(c_HOL_Otimes__class_Otimes(X20,X18,X21),c_HOL_Otimes__class_Otimes(X19,X17,X21),X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X18,X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X20,X21)
| ~ c_lessequals(X18,X17,X21)
| ~ c_lessequals(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_946]) ).
fof(c_0_1773,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Opordered__semiring(X21)
| c_lessequals(c_HOL_Otimes__class_Otimes(X20,X18,X21),c_HOL_Otimes__class_Otimes(X19,X17,X21),X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X18,X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X19,X21)
| ~ c_lessequals(X18,X17,X21)
| ~ c_lessequals(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_947]) ).
fof(c_0_1774,plain,
! [X12,X13,X14,X15,X16] :
( ~ class_Ring__and__Field_Oordered__field(X16)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X14,X12,X16),c_HOL_Oinverse__class_Odivide(X13,X15,X16),X16)
| ~ c_HOL_Oord__class_Oless(X15,X12,X16)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X16),X15,X16)
| ~ c_lessequals(X14,X13,X16)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X16),X14,X16) ),
inference(variable_rename,[status(thm)],[c_0_948]) ).
fof(c_0_1775,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X21)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X20,X18,X21),c_HOL_Otimes__class_Otimes(X19,X17,X21),X21)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X21),X18,X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X20,X21)
| ~ c_lessequals(X18,X17,X21)
| ~ c_HOL_Oord__class_Oless(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_949]) ).
fof(c_0_1776,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X21)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X20,X18,X21),c_HOL_Otimes__class_Otimes(X19,X17,X21),X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X18,X21)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X21),X20,X21)
| ~ c_HOL_Oord__class_Oless(X18,X17,X21)
| ~ c_lessequals(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_950]) ).
fof(c_0_1777,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X21)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X20,X18,X21),c_HOL_Otimes__class_Otimes(X19,X17,X21),X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X18,X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X20,X21)
| ~ c_HOL_Oord__class_Oless(X18,X17,X21)
| ~ c_HOL_Oord__class_Oless(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_951]) ).
fof(c_0_1778,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X21)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X20,X18,X21),c_HOL_Otimes__class_Otimes(X19,X17,X21),X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X18,X21)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X21),X19,X21)
| ~ c_HOL_Oord__class_Oless(X18,X17,X21)
| ~ c_HOL_Oord__class_Oless(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_952]) ).
fof(c_0_1779,plain,
! [X12,X13,X14,X15,X16] :
( ~ class_Ring__and__Field_Oordered__field(X16)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X14,X12,X16),c_HOL_Oinverse__class_Odivide(X13,X15,X16),X16)
| ~ c_lessequals(X15,X12,X16)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X16),X15,X16)
| ~ c_HOL_Oord__class_Oless(X14,X13,X16)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X16),X14,X16) ),
inference(variable_rename,[status(thm)],[c_0_953]) ).
fof(c_0_1780,plain,
! [X12,X13,X14,X15,X16] :
( ~ class_Ring__and__Field_Oordered__field(X16)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X14,X12,X16),c_HOL_Oinverse__class_Odivide(X13,X15,X16),X16)
| ~ c_lessequals(X15,X12,X16)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X16),X15,X16)
| ~ c_lessequals(X14,X13,X16)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X16),X14,X16) ),
inference(variable_rename,[status(thm)],[c_0_954]) ).
fof(c_0_1781,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Oordered__idom(X21)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X20,X21),c_HOL_Oabs__class_Oabs(X19,X21),X21),c_HOL_Otimes__class_Otimes(X18,X17,X21),X21)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X19,X21),X17,X21)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X20,X21),X18,X21) ),
inference(variable_rename,[status(thm)],[c_0_955]) ).
fof(c_0_1782,plain,
! [X7,X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__idom(X10)
| c_HOL_Oord__class_Oless(X7,c_HOL_Oplus__class_Oplus(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X7,X9,X10),X10),X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_956]) ).
fof(c_0_1783,plain,
! [X7,X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__idom(X10)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X9,X8,X10),X7,X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X7,X9,X10),X10),X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_957]) ).
fof(c_0_1784,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_958]) ).
fof(c_0_1785,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_959]) ).
fof(c_0_1786,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_960]) ).
fof(c_0_1787,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_961]) ).
fof(c_0_1788,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_962]) ).
fof(c_0_1789,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_Transcendental_Osin(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_963]) ).
fof(c_0_1790,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),X10)
| X8 = c_HOL_Ozero__class_Ozero(X10) ),
inference(variable_rename,[status(thm)],[c_0_964]) ).
fof(c_0_1791,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),X10)
| X9 = c_HOL_Ozero__class_Ozero(X10) ),
inference(variable_rename,[status(thm)],[c_0_965]) ).
fof(c_0_1792,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
| c_lessequals(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_966]) ).
fof(c_0_1793,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_967]) ).
fof(c_0_1794,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_968]) ).
fof(c_0_1795,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_969]) ).
fof(c_0_1796,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_970]) ).
fof(c_0_1797,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_971]) ).
fof(c_0_1798,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_972]) ).
fof(c_0_1799,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_973]) ).
fof(c_0_1800,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_974]) ).
fof(c_0_1801,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_975]) ).
fof(c_0_1802,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_976]) ).
fof(c_0_1803,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_977]) ).
fof(c_0_1804,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_978]) ).
fof(c_0_1805,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_979]) ).
fof(c_0_1806,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_980]) ).
fof(c_0_1807,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_981]) ).
fof(c_0_1808,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_982]) ).
fof(c_0_1809,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_983]) ).
fof(c_0_1810,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_984]) ).
fof(c_0_1811,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_985]) ).
fof(c_0_1812,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_986]) ).
fof(c_0_1813,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X17,X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_987]) ).
fof(c_0_1814,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_988]) ).
fof(c_0_1815,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_989]) ).
fof(c_0_1816,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_990]) ).
fof(c_0_1817,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__semiring(X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_991]) ).
fof(c_0_1818,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__semiring(X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_992]) ).
fof(c_0_1819,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X19)
| c_lessequals(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_993]) ).
fof(c_0_1820,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X19)
| c_lessequals(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_994]) ).
fof(c_0_1821,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_lessequals(X18,X17,X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_995]) ).
fof(c_0_1822,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_lessequals(X17,X18,X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_996]) ).
fof(c_0_1823,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X8,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_997])])]) ).
fof(c_0_1824,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X8,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X9 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_998]) ).
fof(c_0_1825,plain,
! [X27,X28,X29,X30] :
( ~ class_Ring__and__Field_Osemiring(X30)
| ~ class_Int_Onumber(X30)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X29,X28,X30),c_Int_Onumber__class_Onumber__of(X27,X30),X30) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,c_Int_Onumber__class_Onumber__of(X27,X30),X30),c_HOL_Otimes__class_Otimes(X28,c_Int_Onumber__class_Onumber__of(X27,X30),X30),X30) ),
inference(variable_rename,[status(thm)],[c_0_999]) ).
fof(c_0_1826,plain,
! [X27,X28,X29,X30] :
( ~ class_Ring__and__Field_Osemiring(X30)
| ~ class_Int_Onumber(X30)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X27,X30),c_HOL_Oplus__class_Oplus(X29,X28,X30),X30) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X27,X30),X29,X30),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X27,X30),X28,X30),X30) ),
inference(variable_rename,[status(thm)],[c_0_1000]) ).
fof(c_0_1827,plain,
! [X27,X28,X29,X30] :
( ~ class_Ring__and__Field_Oring(X30)
| ~ class_Int_Onumber(X30)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X27,X30),c_HOL_Ominus__class_Ominus(X29,X28,X30),X30) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X27,X30),X29,X30),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X27,X30),X28,X30),X30) ),
inference(variable_rename,[status(thm)],[c_0_1001]) ).
fof(c_0_1828,plain,
! [X27,X28,X29,X30] :
( ~ class_Ring__and__Field_Oring(X30)
| ~ class_Int_Onumber(X30)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X29,X28,X30),c_Int_Onumber__class_Onumber__of(X27,X30),X30) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X29,c_Int_Onumber__class_Onumber__of(X27,X30),X30),c_HOL_Otimes__class_Otimes(X28,c_Int_Onumber__class_Onumber__of(X27,X30),X30),X30) ),
inference(variable_rename,[status(thm)],[c_0_1002]) ).
fof(c_0_1829,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Ofield(X15)
| ~ class_Ring__and__Field_Odivision__by__zero(X15)
| c_HOL_Oplus__class_Oplus(X12,c_HOL_Oinverse__class_Odivide(X14,X13,X15),X15) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X14,c_HOL_Otimes__class_Otimes(X12,X13,X15),X15),X13,X15)
| X13 = c_HOL_Ozero__class_Ozero(X15) ),
inference(variable_rename,[status(thm)],[c_0_1003]) ).
fof(c_0_1830,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Ofield(X15)
| ~ class_Ring__and__Field_Odivision__by__zero(X15)
| c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X14,X13,X15),X12,X15) = c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X14,c_HOL_Otimes__class_Otimes(X12,X13,X15),X15),X13,X15)
| X13 = c_HOL_Ozero__class_Ozero(X15) ),
inference(variable_rename,[status(thm)],[c_0_1004]) ).
fof(c_0_1831,plain,
! [X12,X13,X14] :
( c_HOL_Oord__class_Oless(X14,X13,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X14,X12,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X13,X12,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1005]) ).
fof(c_0_1832,plain,
! [X12,X13,X14] :
( c_lessequals(X14,X13,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X12,X14,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X12,X13,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1006]) ).
fof(c_0_1833,plain,
! [X12,X13,X14] :
( c_lessequals(X14,X13,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X14,X12,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X13,X12,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1007]) ).
fof(c_0_1834,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1008]) ).
fof(c_0_1835,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1009]) ).
fof(c_0_1836,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Oidom(X15)
| ~ class_Int_Onumber__ring(X15)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X14,X13,X15),c_HOL_Otimes__class_Otimes(X14,X12,X15),X15) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X14,X12,X15),c_HOL_Otimes__class_Otimes(X14,X13,X15),X15) ),
inference(variable_rename,[status(thm)],[c_0_1010]) ).
fof(c_0_1837,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oidom(X20)
| ~ class_Int_Onumber__ring(X20)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X17,X18,X20),c_HOL_Otimes__class_Otimes(X17,X19,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1011]) ).
fof(c_0_1838,plain,
! [X12,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(X14,X13,X16),c_HOL_Oinverse__class_Odivide(X12,X15,X16),X16) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X14,X12,X16),c_HOL_Otimes__class_Otimes(X13,X15,X16),X16) ),
inference(variable_rename,[status(thm)],[c_0_1012]) ).
fof(c_0_1839,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X17,X18,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1013]) ).
fof(c_0_1840,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1014]) ).
fof(c_0_1841,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X17,X18,X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1015]) ).
fof(c_0_1842,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1016]) ).
fof(c_0_1843,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X21)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X20,X19,X21),c_HOL_Oplus__class_Oplus(X18,X17,X21),X21) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X20,X18,X21),c_HOL_Oplus__class_Oplus(X19,X17,X21),X21) ),
inference(variable_rename,[status(thm)],[c_0_1017]) ).
fof(c_0_1844,plain,
! [X33,X34,X35,X36,X37] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X37)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X36,X35,X37),c_HOL_Otimes__class_Otimes(X34,X33,X37),X37) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X36,X34,X37),c_HOL_Otimes__class_Otimes(X35,X33,X37),X37) ),
inference(variable_rename,[status(thm)],[c_0_1018]) ).
fof(c_0_1845,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_OrderedGroup_Oab__group__add(X21)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X20,X18,X21),c_HOL_Oplus__class_Oplus(X19,X17,X21),X21) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X20,X19,X21),c_HOL_Ominus__class_Ominus(X18,X17,X21),X21) ),
inference(variable_rename,[status(thm)],[c_0_1019]) ).
fof(c_0_1846,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1020]) ).
fof(c_0_1847,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(X9,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1021]) ).
fof(c_0_1848,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X6),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1022]) ).
fof(c_0_1849,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X6),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1023]) ).
fof(c_0_1850,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X6),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1024]) ).
fof(c_0_1851,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X17,X18,X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1025]) ).
fof(c_0_1852,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(X17,X18,X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1026]) ).
fof(c_0_1853,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Oidom(X21)
| ~ class_Int_Onumber__ring(X21)
| c_HOL_Oplus__class_Oplus(X17,c_HOL_Otimes__class_Otimes(X18,X20,X21),X21) != c_HOL_Oplus__class_Oplus(X17,c_HOL_Otimes__class_Otimes(X18,X19,X21),X21)
| X20 = X19
| X18 = c_HOL_Ozero__class_Ozero(X21) ),
inference(variable_rename,[status(thm)],[c_0_1027]) ).
fof(c_0_1854,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1028]) ).
fof(c_0_1855,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1029]) ).
fof(c_0_1856,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1030]) ).
fof(c_0_1857,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1031]) ).
fof(c_0_1858,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1032]) ).
fof(c_0_1859,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1033]) ).
fof(c_0_1860,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1034]) ).
fof(c_0_1861,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X17,c_HOL_Otimes__class_Otimes(X18,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1035]) ).
fof(c_0_1862,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1036]) ).
fof(c_0_1863,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1037]) ).
fof(c_0_1864,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1038]) ).
fof(c_0_1865,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1039]) ).
fof(c_0_1866,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Oordered__field(X15)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X14,X13,X15),X12,X15)
| ~ c_HOL_Oord__class_Oless(X14,c_HOL_Otimes__class_Otimes(X12,X13,X15),X15)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1040]) ).
fof(c_0_1867,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Oordered__field(X15)
| c_HOL_Oord__class_Oless(X12,c_HOL_Oinverse__class_Odivide(X14,X13,X15),X15)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X12,X13,X15),X14,X15)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1041]) ).
fof(c_0_1868,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Oordered__field(X15)
| c_lessequals(X12,c_HOL_Oinverse__class_Odivide(X14,X13,X15),X15)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X12,X13,X15),X14,X15)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1042]) ).
fof(c_0_1869,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Oordered__field(X15)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X14,X13,X15),X12,X15)
| ~ c_lessequals(X14,c_HOL_Otimes__class_Otimes(X12,X13,X15),X15)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X15),X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1043]) ).
fof(c_0_1870,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Olordered__ring(X7)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1044]) ).
fof(c_0_1871,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X6,X5,X7),X7),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1045]) ).
fof(c_0_1872,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1046]) ).
fof(c_0_1873,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1047]) ).
fof(c_0_1874,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X21)
| c_lessequals(X20,c_HOL_Oplus__class_Oplus(X19,X17,X21),X21)
| ~ c_lessequals(X18,X17,X21)
| ~ c_lessequals(X20,c_HOL_Oplus__class_Oplus(X19,X18,X21),X21) ),
inference(variable_rename,[status(thm)],[c_0_1048]) ).
fof(c_0_1875,plain,
! [X8,X9,X10] :
( ~ class_RealVector_Oreal__normed__vector(X10)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X9,X8,X10),X10),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X9,X10),c_RealVector_Onorm__class_Onorm(X8,X10),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1049]) ).
fof(c_0_1876,plain,
! [X8,X9,X10] :
( ~ class_RealVector_Oreal__normed__algebra(X10)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X9,X8,X10),X10),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X9,X10),c_RealVector_Onorm__class_Onorm(X8,X10),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1050]) ).
fof(c_0_1877,plain,
! [X5,X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X6,X7),c_RealVector_Onorm__class_Onorm(X5,X7),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1051]) ).
fof(c_0_1878,plain,
! [X5,X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X6,X7),c_RealVector_Onorm__class_Onorm(X5,X7),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1052]) ).
fof(c_0_1879,plain,
! [X5,X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X6,X7),c_RealVector_Onorm__class_Onorm(X5,X7),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X6,X5,X7),X7),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1053]) ).
fof(c_0_1880,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_1054]) ).
fof(c_0_1881,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_lessequals(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_lessequals(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_1055]) ).
fof(c_0_1882,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_1056]) ).
fof(c_0_1883,plain,
! [X5,X6,X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber(X8)
| c_HOL_Oord__class_Oless(X7,c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X5,X8),c_HOL_Ozero__class_Ozero(X8),X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_Int_Onumber__class_Onumber__of(X5,X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_1057]) ).
fof(c_0_1884,plain,
! [X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber__ring(X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X7,X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X8),X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_1058]) ).
fof(c_0_1885,plain,
! [X12,X13,X14] :
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X14,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X13,X12,tc_RealDef_Oreal)
| X14 = c_HOL_Oinverse__class_Odivide(X13,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X12,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1059]) ).
fof(c_0_1886,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| c_lessequals(X18,X17,X19)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X18,X16,X19),c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1060]) ).
fof(c_0_1887,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| c_lessequals(X18,X17,X19)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X16,X18,X19),c_HOL_Oplus__class_Oplus(X16,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1061]) ).
fof(c_0_1888,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X18,X16,X19),c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1062]) ).
fof(c_0_1889,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X18,X19),c_HOL_Oplus__class_Oplus(X16,X17,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1063]) ).
fof(c_0_1890,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X19)
| c_lessequals(X18,c_HOL_Oplus__class_Oplus(X16,c_HOL_Oabs__class_Oabs(X17,X19),X19),X19)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X18,X17,X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1064]) ).
fof(c_0_1891,plain,
! [X8,X9] :
( c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X9),c_Transcendental_Otan(X8),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X9),c_Transcendental_Ocos(X8),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_Transcendental_Ocos(X8) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X9) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1065]) ).
fof(c_0_1892,plain,
! [X16,X17,X18,X19] :
( ~ class_RealVector_Oreal__normed__vector(X19)
| X17 = c_HOL_Ozero__class_Ozero(X19)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X17,X19),c_HOL_Otimes__class_Otimes(X18,c_RealVector_Onorm__class_Onorm(X16,X19),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1066]) ).
fof(c_0_1893,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1067]) ).
fof(c_0_1894,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1068]) ).
fof(c_0_1895,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X17,X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),c_Int_Onumber__class_Onumber__of(X16,X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1069]) ).
fof(c_0_1896,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Oinverse__class_Odivide(X18,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X16,X19),c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1070]) ).
fof(c_0_1897,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X18,X16,X19),c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1071]) ).
fof(c_0_1898,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),c_HOL_Oinverse__class_Odivide(X18,X16,X19),X19)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1072]) ).
fof(c_0_1899,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Opordered__ring(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X17,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1073]) ).
fof(c_0_1900,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Opordered__ring(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_lessequals(X17,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1074]) ).
fof(c_0_1901,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Omult__mono(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1075]) ).
fof(c_0_1902,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Omult__mono(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1076]) ).
fof(c_0_1903,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Omult__mono1(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1077]) ).
fof(c_0_1904,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,X18,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1078]) ).
fof(c_0_1905,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1079]) ).
fof(c_0_1906,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1080]) ).
fof(c_0_1907,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1081]) ).
fof(c_0_1908,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1082]) ).
fof(c_0_1909,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,X18,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1083]) ).
fof(c_0_1910,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1084]) ).
fof(c_0_1911,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1085]) ).
fof(c_0_1912,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1086]) ).
fof(c_0_1913,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,X18,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1087]) ).
fof(c_0_1914,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X19)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1088]) ).
fof(c_0_1915,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_lessequals(X18,X17,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1089]) ).
fof(c_0_1916,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X19)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19)
| ~ c_lessequals(X17,X18,X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1090]) ).
fof(c_0_1917,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X16,X19),c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1091]) ).
fof(c_0_1918,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,X16,X19),c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1092]) ).
fof(c_0_1919,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__idom(X10)
| c_lessequals(c_HOL_Otimes__class_Otimes(X9,X8,X10),X9,X10)
| ~ c_lessequals(X8,c_HOL_Oone__class_Oone(X10),X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X8,X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1093]) ).
fof(c_0_1920,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__idom(X10)
| c_lessequals(c_HOL_Otimes__class_Otimes(X8,X9,X10),X9,X10)
| ~ c_lessequals(X8,c_HOL_Oone__class_Oone(X10),X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X8,X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1094]) ).
fof(c_0_1921,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1095]) ).
fof(c_0_1922,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1096]) ).
fof(c_0_1923,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1097]) ).
fof(c_0_1924,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1098]) ).
fof(c_0_1925,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X21)
| c_lessequals(c_HOL_Oplus__class_Oplus(X20,X18,X21),c_HOL_Oplus__class_Oplus(X19,X17,X21),X21)
| ~ c_lessequals(X18,X17,X21)
| ~ c_lessequals(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_1099]) ).
fof(c_0_1926,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X21)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X20,X18,X21),c_HOL_Oplus__class_Oplus(X19,X17,X21),X21)
| ~ c_lessequals(X18,X17,X21)
| ~ c_HOL_Oord__class_Oless(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_1100]) ).
fof(c_0_1927,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X21)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X20,X18,X21),c_HOL_Oplus__class_Oplus(X19,X17,X21),X21)
| ~ c_HOL_Oord__class_Oless(X18,X17,X21)
| ~ c_lessequals(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_1101]) ).
fof(c_0_1928,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X21)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X20,X18,X21),c_HOL_Oplus__class_Oplus(X19,X17,X21),X21)
| ~ c_HOL_Oord__class_Oless(X18,X17,X21)
| ~ c_HOL_Oord__class_Oless(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_1102]) ).
fof(c_0_1929,plain,
! [X16,X17,X18] :
( X17 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X17,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X18,c_HOL_Oabs__class_Oabs(X16,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1103])])]) ).
fof(c_0_1930,plain,
! [X18] :
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X18,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X18,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X18,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1104]) ).
fof(c_0_1931,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10) != c_HOL_Ozero__class_Ozero(X10)
| X8 = c_HOL_Ozero__class_Ozero(X10) ),
inference(variable_rename,[status(thm)],[c_0_1105]) ).
fof(c_0_1932,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X10)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,X10),c_HOL_Otimes__class_Otimes(X8,X8,X10),X10) != c_HOL_Ozero__class_Ozero(X10)
| X9 = c_HOL_Ozero__class_Ozero(X10) ),
inference(variable_rename,[status(thm)],[c_0_1106]) ).
fof(c_0_1933,plain,
! [X29,X30,X31,X32] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X32)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X31,X29,X32),c_HOL_Otimes__class_Otimes(X30,X29,X32),X32) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X31,X30,X32),X29,X32) ),
inference(variable_rename,[status(thm)],[c_0_1107]) ).
fof(c_0_1934,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Ocomm__semiring(X19)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X18,X17,X19),X16,X19) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1108]) ).
fof(c_0_1935,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X15)
| c_HOL_Otimes__class_Otimes(X14,c_HOL_Oplus__class_Oplus(X13,X12,X15),X15) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X14,X13,X15),c_HOL_Otimes__class_Otimes(X14,X12,X15),X15) ),
inference(variable_rename,[status(thm)],[c_0_1109]) ).
fof(c_0_1936,plain,
! [X25,X26,X27,X28] :
( ~ class_RealVector_Oreal__normed__algebra(X28)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X27,X26,X28),X25,X28) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X27,X25,X28),c_HOL_Otimes__class_Otimes(X26,X25,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_1110]) ).
fof(c_0_1937,plain,
! [X15,X16,X17,X18] :
( ~ class_RealVector_Oreal__normed__algebra(X18)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X17,X16,X18),X15,X18) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X17,X15,X18),c_HOL_Otimes__class_Otimes(X16,X15,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_1111]) ).
fof(c_0_1938,plain,
! [X26,X27,X28,X29] :
( ~ class_RealVector_Oreal__normed__algebra(X29)
| c_HOL_Otimes__class_Otimes(X28,c_HOL_Oplus__class_Oplus(X27,X26,X29),X29) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X27,X29),c_HOL_Otimes__class_Otimes(X28,X26,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_1112]) ).
fof(c_0_1939,plain,
! [X9,X10,X11,X12] :
( ~ class_RealVector_Oreal__normed__algebra(X12)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Oplus__class_Oplus(X11,X9,X12),X12) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X11,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1113]) ).
fof(c_0_1940,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X18,X17,X19),X16,X19) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1114]) ).
fof(c_0_1941,plain,
! [X9,X10,X11,X12] :
( ~ class_RealVector_Oreal__normed__algebra(X12)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ominus__class_Ominus(X11,X9,X12),X12) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X10,X11,X12),c_HOL_Otimes__class_Otimes(X10,X9,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1115]) ).
fof(c_0_1942,plain,
! [X26,X27,X28,X29] :
( ~ class_RealVector_Oreal__normed__algebra(X29)
| c_HOL_Otimes__class_Otimes(X28,c_HOL_Ominus__class_Ominus(X27,X26,X29),X29) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X28,X27,X29),c_HOL_Otimes__class_Otimes(X28,X26,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_1116]) ).
fof(c_0_1943,plain,
! [X25,X26,X27,X28] :
( ~ class_RealVector_Oreal__normed__algebra(X28)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X27,X26,X28),X25,X28) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X27,X25,X28),c_HOL_Otimes__class_Otimes(X26,X25,X28),X28) ),
inference(variable_rename,[status(thm)],[c_0_1117]) ).
fof(c_0_1944,plain,
! [X15,X16,X17,X18] :
( ~ class_RealVector_Oreal__normed__algebra(X18)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X17,X16,X18),X15,X18) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X17,X15,X18),c_HOL_Otimes__class_Otimes(X16,X15,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_1118]) ).
fof(c_0_1945,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Ofield(X19)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X18,X17,X19),X16,X19) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X18,X16,X19),c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1119]) ).
fof(c_0_1946,plain,
! [X15,X16,X17,X18] :
( ~ class_RealVector_Oreal__normed__field(X18)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X17,X16,X18),X15,X18) = c_HOL_Oplus__class_Oplus(c_HOL_Oinverse__class_Odivide(X17,X15,X18),c_HOL_Oinverse__class_Odivide(X16,X15,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_1120]) ).
fof(c_0_1947,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Ofield(X19)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X18,X17,X19),X16,X19) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X18,X16,X19),c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1121]) ).
fof(c_0_1948,plain,
! [X15,X16,X17,X18] :
( ~ class_RealVector_Oreal__normed__field(X18)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ominus__class_Ominus(X17,X16,X18),X15,X18) = c_HOL_Ominus__class_Ominus(c_HOL_Oinverse__class_Odivide(X17,X15,X18),c_HOL_Oinverse__class_Odivide(X16,X15,X18),X18) ),
inference(variable_rename,[status(thm)],[c_0_1122]) ).
fof(c_0_1949,plain,
! [X12,X13,X14] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X14,X12,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X13,X12,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X14,X13,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1123]) ).
fof(c_0_1950,plain,
! [X12,X13,X14] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X12,X14,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X12,X13,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X14,X13,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1124]) ).
fof(c_0_1951,plain,
! [X12,X13,X14] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X12,X14,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X12,X13,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X14,X13,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1125]) ).
fof(c_0_1952,plain,
! [X12,X13,X14] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X14,X12,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X13,X12,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X14,X13,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X12,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1126]) ).
fof(c_0_1953,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1127]) ).
fof(c_0_1954,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X5,X6,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1128]) ).
fof(c_0_1955,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1129]) ).
fof(c_0_1956,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1130]) ).
fof(c_0_1957,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1131]) ).
fof(c_0_1958,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1132]) ).
fof(c_0_1959,plain,
! [X8,X9] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1133])])]) ).
fof(c_0_1960,plain,
! [X8,X9] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X9,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X8,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X9 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1134]) ).
fof(c_0_1961,plain,
! [X18,X19,X20,X21,X22] :
( ~ class_OrderedGroup_Oab__group__add(X22)
| c_HOL_Oplus__class_Oplus(X20,c_HOL_Oplus__class_Oplus(X19,X18,X22),X22) != c_HOL_Oplus__class_Oplus(X19,X21,X22)
| c_HOL_Oplus__class_Oplus(X20,X18,X22) = X21 ),
inference(variable_rename,[status(thm)],[c_0_1135]) ).
fof(c_0_1962,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1136]) ).
fof(c_0_1963,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1137]) ).
fof(c_0_1964,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1138]) ).
fof(c_0_1965,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1139]) ).
fof(c_0_1966,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1140]) ).
fof(c_0_1967,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1141]) ).
fof(c_0_1968,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1142]) ).
fof(c_0_1969,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1143]) ).
fof(c_0_1970,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1144]) ).
fof(c_0_1971,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1145]) ).
fof(c_0_1972,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1146]) ).
fof(c_0_1973,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1147]) ).
fof(c_0_1974,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1148]) ).
fof(c_0_1975,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1149]) ).
fof(c_0_1976,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1150]) ).
fof(c_0_1977,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1151]) ).
fof(c_0_1978,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1152]) ).
fof(c_0_1979,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_lessequals(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1153]) ).
fof(c_0_1980,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oinverse__class_Odivide(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1154]) ).
fof(c_0_1981,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__field(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X17,X16,X19),X18,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X18,X19)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X19),X19)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1155]) ).
fof(c_0_1982,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1156]) ).
fof(c_0_1983,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1157]) ).
fof(c_0_1984,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1158]) ).
fof(c_0_1985,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1159]) ).
fof(c_0_1986,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1160]) ).
fof(c_0_1987,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1161]) ).
fof(c_0_1988,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1162]) ).
fof(c_0_1989,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1163]) ).
fof(c_0_1990,plain,
! [X7,X8] :
( ~ class_Ring__and__Field_Oordered__field(X8)
| ~ class_Ring__and__Field_Odivision__by__zero(X8)
| ~ class_Int_Onumber__ring(X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),c_HOL_Oinverse__class_Odivide(X7,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X8),X8),X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X8),X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1164]) ).
fof(c_0_1991,plain,
! [X24,X25] :
( c_HOL_Oord__class_Oless(X24,X25,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X25,c_HOL_Ouminus__class_Ouminus(X24,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1165]) ).
fof(c_0_1992,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1166]) ).
fof(c_0_1993,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1167]) ).
fof(c_0_1994,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1168]) ).
fof(c_0_1995,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1169]) ).
fof(c_0_1996,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1170]) ).
fof(c_0_1997,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1171]) ).
fof(c_0_1998,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1172]) ).
fof(c_0_1999,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1173]) ).
fof(c_0_2000,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
| c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1174]) ).
fof(c_0_2001,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1175]) ).
fof(c_0_2002,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
| c_lessequals(c_HOL_Otimes__class_Otimes(X5,X6,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1176]) ).
fof(c_0_2003,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
| c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1177]) ).
fof(c_0_2004,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
| c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1178]) ).
fof(c_0_2005,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
| c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1179]) ).
fof(c_0_2006,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
| c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1180]) ).
fof(c_0_2007,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1181]) ).
fof(c_0_2008,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1182]) ).
fof(c_0_2009,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1183]) ).
fof(c_0_2010,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1184]) ).
fof(c_0_2011,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1185]) ).
fof(c_0_2012,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__ring(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1186]) ).
fof(c_0_2013,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__ring(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1187]) ).
fof(c_0_2014,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Opordered__ring(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1188]) ).
fof(c_0_2015,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1189]) ).
fof(c_0_2016,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1190]) ).
fof(c_0_2017,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Otimes__class_Otimes(X6,X5,X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1191]) ).
fof(c_0_2018,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1192]) ).
fof(c_0_2019,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1193]) ).
fof(c_0_2020,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X7)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X6,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1194]) ).
fof(c_0_2021,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1195]) ).
fof(c_0_2022,plain,
! [X29,X30,X31] :
( ~ class_Ring__and__Field_Oordered__semidom(X31)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X31),c_HOL_Otimes__class_Otimes(X30,X29,X31),X31)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X31),X29,X31)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X31),X30,X31) ),
inference(variable_rename,[status(thm)],[c_0_1196]) ).
fof(c_0_2023,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1197]) ).
fof(c_0_2024,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),X5,X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1198]) ).
fof(c_0_2025,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1199]) ).
fof(c_0_2026,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1200]) ).
fof(c_0_2027,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__field(X10)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X9,X8,X10),c_HOL_Ozero__class_Ozero(X10),X10)
| ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X10),X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1201]) ).
fof(c_0_2028,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__field(X10)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X9,X8,X10),c_HOL_Ozero__class_Ozero(X10),X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1202]) ).
fof(c_0_2029,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__field(X10)
| c_lessequals(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1203]) ).
fof(c_0_2030,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__field(X10)
| c_lessequals(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X10),X10)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1204]) ).
fof(c_0_2031,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__field(X10)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X9,X8,X10),c_HOL_Ozero__class_Ozero(X10),X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1205]) ).
fof(c_0_2032,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__field(X10)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X9,X8,X10),c_HOL_Ozero__class_Ozero(X10),X10)
| ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X10),X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1206]) ).
fof(c_0_2033,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__field(X10)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1207]) ).
fof(c_0_2034,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__field(X10)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ozero__class_Ozero(X10),X10)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1208]) ).
fof(c_0_2035,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| c_lessequals(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1209])])]) ).
fof(c_0_2036,plain,
! [X8,X9] :
( c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1210])])]) ).
fof(c_0_2037,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| c_lessequals(c_HOL_Oplus__class_Oplus(X18,X16,X19),c_HOL_Oplus__class_Oplus(X17,X16,X19),X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1211]) ).
fof(c_0_2038,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| c_lessequals(c_HOL_Oplus__class_Oplus(X16,X18,X19),c_HOL_Oplus__class_Oplus(X16,X17,X19),X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1212]) ).
fof(c_0_2039,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X19)
| c_lessequals(c_HOL_Oplus__class_Oplus(X18,X16,X19),c_HOL_Oplus__class_Oplus(X17,X16,X19),X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1213]) ).
fof(c_0_2040,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X19)
| c_lessequals(c_HOL_Oplus__class_Oplus(X16,X18,X19),c_HOL_Oplus__class_Oplus(X16,X17,X19),X19)
| ~ c_lessequals(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1214]) ).
fof(c_0_2041,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X18,X16,X19),c_HOL_Oplus__class_Oplus(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1215]) ).
fof(c_0_2042,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X18,X16,X19),c_HOL_Oplus__class_Oplus(X17,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1216]) ).
fof(c_0_2043,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X18,X19),c_HOL_Oplus__class_Oplus(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1217]) ).
fof(c_0_2044,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X18,X19),c_HOL_Oplus__class_Oplus(X16,X17,X19),X19)
| ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1218]) ).
fof(c_0_2045,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| ~ class_OrderedGroup_Ocomm__monoid__add(X19)
| c_lessequals(X17,c_HOL_Oplus__class_Oplus(X18,X16,X19),X19)
| ~ c_lessequals(X17,X18,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X16,X19) ),
inference(variable_rename,[status(thm)],[c_0_1219]) ).
fof(c_0_2046,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| ~ class_OrderedGroup_Ocomm__monoid__add(X19)
| c_lessequals(X17,c_HOL_Oplus__class_Oplus(X18,X16,X19),X19)
| ~ c_lessequals(X17,X16,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1220]) ).
fof(c_0_2047,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| ~ class_OrderedGroup_Ocomm__monoid__add(X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Oplus__class_Oplus(X18,X16,X19),X19)
| ~ c_lessequals(X17,X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1221]) ).
fof(c_0_2048,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X19)
| ~ class_OrderedGroup_Ocomm__monoid__add(X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Oplus__class_Oplus(X18,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,X16,X19)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1222]) ).
fof(c_0_2049,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1223]) ).
fof(c_0_2050,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1224]) ).
fof(c_0_2051,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1225]) ).
fof(c_0_2052,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1226]) ).
fof(c_0_2053,plain,
! [X8,X9] :
( c_lessequals(c_Transcendental_Ocos(X8),c_Transcendental_Ocos(X9),tc_RealDef_Oreal)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X8,X9,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1227]) ).
fof(c_0_2054,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X8),c_Transcendental_Ocos(X9),tc_RealDef_Oreal)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X8,X9,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1228]) ).
fof(c_0_2055,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X7)
| c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1229]) ).
fof(c_0_2056,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Oordered__semidom(X19)
| c_HOL_Oord__class_Oless(X17,c_HOL_Oplus__class_Oplus(X18,X16,X19),X19)
| ~ c_HOL_Oord__class_Oless(X17,X16,X19)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X19),X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1230]) ).
fof(c_0_2057,plain,
! [X8,X9] :
( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X9,X8,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X9),c_Transcendental_Oln(X8),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1231]) ).
fof(c_0_2058,plain,
! [X8,X9] :
( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X9),c_Transcendental_Oln(X8),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1232]) ).
fof(c_0_2059,plain,
! [X27,X28,X29] :
( ~ class_Orderings_Olinorder(X29)
| ~ class_Int_Onumber(X29)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X27,X29),c_Int_Onumber__class_Onumber__of(X28,X29),X29)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X28,X29),c_Int_Onumber__class_Onumber__of(X27,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_1233]) ).
fof(c_0_2060,plain,
! [X12,X13,X14] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X12,X14,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X12,X13,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X14,X13,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1234]) ).
fof(c_0_2061,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Ofield(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X16,X18,X19),c_HOL_Otimes__class_Otimes(X16,X17,X19),X19) = c_HOL_Oinverse__class_Odivide(X18,X17,X19)
| X16 = c_HOL_Ozero__class_Ozero(X19) ),
inference(variable_rename,[status(thm)],[c_0_1235]) ).
fof(c_0_2062,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Ofield(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X18,X16,X19),c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) = c_HOL_Oinverse__class_Odivide(X18,X17,X19)
| X16 = c_HOL_Ozero__class_Ozero(X19) ),
inference(variable_rename,[status(thm)],[c_0_1236]) ).
fof(c_0_2063,plain,
! [X29,X30,X31] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X31)
| c_HOL_Oplus__class_Oplus(X29,c_HOL_Otimes__class_Otimes(X30,X29,X31),X31) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X30,c_HOL_Oone__class_Oone(X31),X31),X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_1237]) ).
fof(c_0_2064,plain,
! [X29,X30,X31] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X31)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X30,X29,X31),X29,X31) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X30,c_HOL_Oone__class_Oone(X31),X31),X29,X31) ),
inference(variable_rename,[status(thm)],[c_0_1238]) ).
fof(c_0_2065,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7),X7) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1239]) ).
fof(c_0_2066,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1240]) ).
fof(c_0_2067,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1241]) ).
fof(c_0_2068,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1242]) ).
fof(c_0_2069,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1243]) ).
fof(c_0_2070,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X8,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1244])])]) ).
fof(c_0_2071,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Ofield(X15)
| ~ class_Ring__and__Field_Odivision__by__zero(X15)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X14,X13,X15),X12,X15) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X14,X12,X15),X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1245]) ).
fof(c_0_2072,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X9),c_Transcendental_Oln(X8),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1246]) ).
fof(c_0_2073,plain,
! [X8,X9] :
( c_lessequals(X9,X8,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X9),c_Transcendental_Oln(X8),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1247]) ).
fof(c_0_2074,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1248]) ).
fof(c_0_2075,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1249]) ).
fof(c_0_2076,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1250]) ).
fof(c_0_2077,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1251]) ).
fof(c_0_2078,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1252]) ).
fof(c_0_2079,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X15)
| c_HOL_Otimes__class_Otimes(X14,c_HOL_Otimes__class_Otimes(X13,X12,X15),X15) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X14,X13,X15),X12,X15) ),
inference(variable_rename,[status(thm)],[c_0_1253]) ).
fof(c_0_2080,plain,
! [X33,X34,X35,X36] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X36)
| c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X34,X33,X36),X36) = c_HOL_Otimes__class_Otimes(X34,c_HOL_Otimes__class_Otimes(X35,X33,X36),X36) ),
inference(variable_rename,[status(thm)],[c_0_1254]) ).
fof(c_0_2081,plain,
! [X33,X34,X35,X36] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X36)
| c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X34,X33,X36),X36) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X36),X33,X36) ),
inference(variable_rename,[status(thm)],[c_0_1255]) ).
fof(c_0_2082,plain,
! [X33,X34,X35,X36] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X36)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X36),X33,X36) = c_HOL_Otimes__class_Otimes(X35,c_HOL_Otimes__class_Otimes(X34,X33,X36),X36) ),
inference(variable_rename,[status(thm)],[c_0_1256]) ).
fof(c_0_2083,plain,
! [X33,X34,X35,X36] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X36)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X34,X36),X33,X36) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X35,X33,X36),X34,X36) ),
inference(variable_rename,[status(thm)],[c_0_1257]) ).
fof(c_0_2084,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X19)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X18,X17,X19),X16,X19) = c_HOL_Otimes__class_Otimes(X18,c_HOL_Otimes__class_Otimes(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1258]) ).
fof(c_0_2085,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X19)
| c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) = c_HOL_Oplus__class_Oplus(X17,c_HOL_Oplus__class_Oplus(X18,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1259]) ).
fof(c_0_2086,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X19)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X18,X17,X19),X16,X19) = c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1260]) ).
fof(c_0_2087,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X15)
| c_HOL_Oplus__class_Oplus(X14,c_HOL_Oplus__class_Oplus(X13,X12,X15),X15) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X14,X13,X15),X12,X15) ),
inference(variable_rename,[status(thm)],[c_0_1261]) ).
fof(c_0_2088,plain,
! [X12,X13,X14,X15] :
( ~ class_OrderedGroup_Oab__group__add(X15)
| c_HOL_Oplus__class_Oplus(X14,c_HOL_Oplus__class_Oplus(X13,X12,X15),X15) = c_HOL_Oplus__class_Oplus(X13,c_HOL_Oplus__class_Oplus(X14,X12,X15),X15) ),
inference(variable_rename,[status(thm)],[c_0_1262]) ).
fof(c_0_2089,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Oab__semigroup__add(X19)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X18,X17,X19),X16,X19) = c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1263]) ).
fof(c_0_2090,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
| c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_1264]) ).
fof(c_0_2091,plain,
! [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),X16,X19) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X18,X16,X19),X17,X19) ),
inference(variable_rename,[status(thm)],[c_0_1265]) ).
fof(c_0_2092,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
| c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) = c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1266]) ).
fof(c_0_2093,plain,
! [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),X16,X19) = c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X17,X16,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_1267]) ).
fof(c_0_2094,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X5)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
inference(variable_rename,[status(thm)],[c_0_1268]) ).
fof(c_0_2095,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1269]) ).
fof(c_0_2096,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(X8,c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1270]) ).
fof(c_0_2097,plain,
! [X8,X9] :
( c_lessequals(X8,c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1271]) ).
fof(c_0_2098,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1272]) ).
fof(c_0_2099,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X9),c_Transcendental_Oln(X8),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1273]) ).
fof(c_0_2100,plain,
! [X8,X9] :
( c_lessequals(c_Transcendental_Oln(X9),c_Transcendental_Oln(X8),tc_RealDef_Oreal)
| ~ c_lessequals(X9,X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1274]) ).
fof(c_0_2101,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_lessequals(X6,X5,X7)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1275]) ).
fof(c_0_2102,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_HOL_Oord__class_Oless(X6,X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1276]) ).
fof(c_0_2103,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X14,X12,X15) != c_HOL_Ominus__class_Ominus(X13,X11,X15)
| c_lessequals(X11,X13,X15)
| ~ c_lessequals(X12,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_1277]) ).
fof(c_0_2104,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X14,X12,X15) != c_HOL_Ominus__class_Ominus(X13,X11,X15)
| c_lessequals(X12,X14,X15)
| ~ c_lessequals(X11,X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1278]) ).
fof(c_0_2105,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X14,X12,X15) != c_HOL_Ominus__class_Ominus(X13,X11,X15)
| c_HOL_Oord__class_Oless(X13,X11,X15)
| ~ c_HOL_Oord__class_Oless(X14,X12,X15) ),
inference(variable_rename,[status(thm)],[c_0_1279]) ).
fof(c_0_2106,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X15)
| c_HOL_Ominus__class_Ominus(X14,X12,X15) != c_HOL_Ominus__class_Ominus(X13,X11,X15)
| c_HOL_Oord__class_Oless(X14,X12,X15)
| ~ c_HOL_Oord__class_Oless(X13,X11,X15) ),
inference(variable_rename,[status(thm)],[c_0_1280]) ).
fof(c_0_2107,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X9),c_Transcendental_Ocos(X8),tc_RealDef_Oreal)
| ~ c_lessequals(X9,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X8,X9,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1281]) ).
fof(c_0_2108,plain,
! [X8,X9] :
( c_lessequals(c_Transcendental_Ocos(X9),c_Transcendental_Ocos(X8),tc_RealDef_Oreal)
| ~ c_lessequals(X9,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(X8,X9,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1282]) ).
fof(c_0_2109,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__field(X10)
| ~ class_Ring__and__Field_Odivision__by__zero(X10)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X9,X10),X8,X10) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X10),X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1283]) ).
fof(c_0_2110,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X6),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1284]) ).
fof(c_0_2111,plain,
! [X8,X9] :
( c_lessequals(X9,X8,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1285]) ).
fof(c_0_2112,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__idom(X10)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X8,X10),X9,X10) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X8,X9,X10),X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1286]) ).
fof(c_0_2113,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__field(X5)
| ~ class_Ring__and__Field_Odivision__by__zero(X5)
| ~ class_Int_Onumber__ring(X5)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X5),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X5),X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1287]) ).
fof(c_0_2114,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X7)
| c_lessequals(c_HOL_Oplus__class_Oplus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1288]) ).
fof(c_0_2115,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_lessequals(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
| ~ c_lessequals(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1289]) ).
fof(c_0_2116,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_lessequals(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
| ~ c_lessequals(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1290]) ).
fof(c_0_2117,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1291]) ).
fof(c_0_2118,plain,
! [X12,X13,X14,X15,X16] :
( ~ class_Ring__and__Field_Ofield(X16)
| c_HOL_Oinverse__class_Odivide(X14,X13,X16) != c_HOL_Oinverse__class_Odivide(X15,X12,X16)
| X12 = c_HOL_Ozero__class_Ozero(X16)
| X13 = c_HOL_Ozero__class_Ozero(X16)
| c_HOL_Otimes__class_Otimes(X14,X12,X16) = c_HOL_Otimes__class_Otimes(X15,X13,X16) ),
inference(variable_rename,[status(thm)],[c_0_1292]) ).
fof(c_0_2119,plain,
! [X12,X13,X14,X15,X16] :
( ~ class_Ring__and__Field_Ofield(X16)
| c_HOL_Otimes__class_Otimes(X14,X12,X16) != c_HOL_Otimes__class_Otimes(X15,X13,X16)
| X12 = c_HOL_Ozero__class_Ozero(X16)
| X13 = c_HOL_Ozero__class_Ozero(X16)
| c_HOL_Oinverse__class_Odivide(X14,X13,X16) = c_HOL_Oinverse__class_Odivide(X15,X12,X16) ),
inference(variable_rename,[status(thm)],[c_0_1293]) ).
fof(c_0_2120,plain,
! [X8,X9,X10] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X10)
| c_HOL_Oplus__class_Oplus(X9,X8,X10) != c_HOL_Ozero__class_Ozero(X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X8,X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10)
| X8 = c_HOL_Ozero__class_Ozero(X10) ),
inference(variable_rename,[status(thm)],[c_0_1294]) ).
fof(c_0_2121,plain,
! [X8,X9,X10] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X10)
| c_HOL_Oplus__class_Oplus(X9,X8,X10) != c_HOL_Ozero__class_Ozero(X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X8,X10)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X10),X9,X10)
| X9 = c_HOL_Ozero__class_Ozero(X10) ),
inference(variable_rename,[status(thm)],[c_0_1295]) ).
fof(c_0_2122,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1296]) ).
fof(c_0_2123,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1297]) ).
fof(c_0_2124,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1298]) ).
fof(c_0_2125,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__field(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X6),X5,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1299]) ).
fof(c_0_2126,plain,
! [X24,X25] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X25,c_HOL_Ouminus__class_Ouminus(X24,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X24,X25,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1300]) ).
fof(c_0_2127,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X5)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
inference(variable_rename,[status(thm)],[c_0_1301]) ).
fof(c_0_2128,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X6,c_Int_Onumber__class_Onumber__of(X5,X7),X7),c_Int_Onumber__class_Onumber__of(X5,X7),X7) = X6
| c_Int_Onumber__class_Onumber__of(X5,X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1302]) ).
fof(c_0_2129,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| X6 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X6,c_Int_Onumber__class_Onumber__of(X5,X7),X7),c_Int_Onumber__class_Onumber__of(X5,X7),X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1303]) ).
fof(c_0_2130,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| X6 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X7),X7),c_Int_Onumber__class_Onumber__of(X5,X7),X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1304]) ).
fof(c_0_2131,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X7),X7),c_Int_Onumber__class_Onumber__of(X5,X7),X7) = X6
| c_Int_Onumber__class_Onumber__of(X5,X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1305]) ).
fof(c_0_2132,plain,
! [X7,X8] :
( c_lessequals(c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_lessequals(X7,X8,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X8,tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1306]) ).
fof(c_0_2133,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1307]) ).
fof(c_0_2134,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X8,c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1308]) ).
fof(c_0_2135,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X8,c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1309]) ).
fof(c_0_2136,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1310]) ).
fof(c_0_2137,plain,
! [X5,X6] :
( ~ class_Int_Onumber__ring(X6)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X5),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X6),c_Int_Onumber__class_Onumber__of(X5,X6),X6),c_Int_Onumber__class_Onumber__of(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1311]) ).
fof(c_0_2138,plain,
! [X5,X6] :
( ~ class_Int_Onumber__ring(X6)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X5),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),c_Int_Onumber__class_Onumber__of(X5,X6),X6),c_Int_Onumber__class_Onumber__of(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1312]) ).
fof(c_0_2139,plain,
! [X12,X13,X14,X15] :
( ~ class_OrderedGroup_Oab__group__add(X15)
| c_HOL_Oplus__class_Oplus(X14,c_HOL_Oplus__class_Oplus(X13,X12,X15),X15) != X13
| X14 = c_HOL_Ouminus__class_Ouminus(X12,X15) ),
inference(variable_rename,[status(thm)],[c_0_1313]) ).
fof(c_0_2140,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| ~ class_Ring__and__Field_Odivision__by__zero(X18)
| ~ class_Int_Onumber(X18)
| c_Int_Onumber__class_Onumber__of(X16,X18) != c_HOL_Ozero__class_Ozero(X18)
| c_Int_Onumber__class_Onumber__of(X16,X18) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X18),X17,X18),X17,X18) ),
inference(variable_rename,[status(thm)],[c_0_1314]) ).
fof(c_0_2141,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| ~ class_Ring__and__Field_Odivision__by__zero(X18)
| ~ class_Int_Onumber(X18)
| c_Int_Onumber__class_Onumber__of(X16,X18) != c_HOL_Ozero__class_Ozero(X18)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X18),X17,X18),X17,X18) = c_Int_Onumber__class_Onumber__of(X16,X18) ),
inference(variable_rename,[status(thm)],[c_0_1315]) ).
fof(c_0_2142,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| ~ class_Int_Onumber(X6)
| c_HOL_Ozero__class_Ozero(X6) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_Int_Onumber__class_Onumber__of(X5,X6),X6),c_Int_Onumber__class_Onumber__of(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1316]) ).
fof(c_0_2143,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| ~ class_Int_Onumber(X6)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_Int_Onumber__class_Onumber__of(X5,X6),X6),c_Int_Onumber__class_Onumber__of(X5,X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1317]) ).
fof(c_0_2144,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1318]) ).
fof(c_0_2145,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X5,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1319]) ).
fof(c_0_2146,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1320]) ).
fof(c_0_2147,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1321]) ).
fof(c_0_2148,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X5,X5,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1322]) ).
fof(c_0_2149,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1323]) ).
fof(c_0_2150,plain,
! [X8,X9] :
( c_HOL_Otimes__class_Otimes(X9,X9,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X9 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1324]) ).
fof(c_0_2151,plain,
! [X8,X9] :
( c_HOL_Otimes__class_Otimes(X9,X9,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X8,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X8 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_1325])])]) ).
fof(c_0_2152,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_lessequals(c_HOL_Ominus__class_Ominus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1326]) ).
fof(c_0_2153,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X6,X5,X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1327]) ).
fof(c_0_2154,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| ~ class_Ring__and__Field_Odivision__by__zero(X18)
| ~ class_Int_Onumber(X18)
| c_Int_Onumber__class_Onumber__of(X16,X18) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X18),X17,X18),X17,X18)
| X17 = c_HOL_Ozero__class_Ozero(X18) ),
inference(variable_rename,[status(thm)],[c_0_1328]) ).
fof(c_0_2155,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| ~ class_Ring__and__Field_Odivision__by__zero(X18)
| ~ class_Int_Onumber(X18)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X18),X17,X18),X17,X18) = c_Int_Onumber__class_Onumber__of(X16,X18)
| X17 = c_HOL_Ozero__class_Ozero(X18) ),
inference(variable_rename,[status(thm)],[c_0_1329]) ).
fof(c_0_2156,plain,
! [X20,X21,X22] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X22,X21,X20),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X22,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1330]) ).
fof(c_0_2157,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X6,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1331]) ).
fof(c_0_2158,plain,
! [X5,X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X5,X6,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1332]) ).
fof(c_0_2159,plain,
! [X29,X30] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X30)
| c_HOL_Oplus__class_Oplus(X29,X29,X30) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X30),c_HOL_Oone__class_Oone(X30),X30),X29,X30) ),
inference(variable_rename,[status(thm)],[c_0_1333]) ).
fof(c_0_2160,plain,
! [X8,X9] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X9,X8,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X9,X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1334]) ).
fof(c_0_2161,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1335]) ).
fof(c_0_2162,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_RealVector_Oreal__normed__field(X7)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X6,X7),c_RealVector_Onorm__class_Onorm(X5,X7),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1336]) ).
fof(c_0_2163,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__field(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7)
| X5 = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1337]) ).
fof(c_0_2164,plain,
! [X5,X6] :
( ~ class_Int_Onumber__ring(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X6),c_HOL_Oone__class_Oone(X6),X6),c_Int_Onumber__class_Onumber__of(X5,X6),X6) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X5),X6) ),
inference(variable_rename,[status(thm)],[c_0_1338]) ).
fof(c_0_2165,plain,
! [X5,X6,X7] :
( ~ class_RealVector_Oreal__normed__field(X7)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X6,X7),c_RealVector_Onorm__class_Onorm(X5,X7),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1339]) ).
fof(c_0_2166,plain,
! [X12,X13,X14,X15] :
( ~ class_Orderings_Oorder(X15)
| c_lessequals(X12,X14,X15)
| ~ c_lessequals(X12,X13,X15)
| ~ c_lessequals(X13,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_1340]) ).
fof(c_0_2167,plain,
! [X12,X13,X14,X15] :
( ~ class_Orderings_Opreorder(X15)
| c_lessequals(X14,X12,X15)
| ~ c_lessequals(X13,X12,X15)
| ~ c_lessequals(X14,X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1341]) ).
fof(c_0_2168,plain,
! [X12,X13,X14,X15] :
( ~ class_Orderings_Oorder(X15)
| c_HOL_Oord__class_Oless(X12,X14,X15)
| ~ c_lessequals(X12,X13,X15)
| ~ c_HOL_Oord__class_Oless(X13,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_1342]) ).
fof(c_0_2169,plain,
! [X12,X13,X14,X15] :
( ~ class_Orderings_Oorder(X15)
| c_HOL_Oord__class_Oless(X12,X14,X15)
| ~ c_HOL_Oord__class_Oless(X12,X13,X15)
| ~ c_lessequals(X13,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_1343]) ).
fof(c_0_2170,plain,
! [X12,X13,X14,X15] :
( ~ class_Orderings_Opreorder(X15)
| c_HOL_Oord__class_Oless(X14,X12,X15)
| ~ c_lessequals(X13,X12,X15)
| ~ c_HOL_Oord__class_Oless(X14,X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1344]) ).
fof(c_0_2171,plain,
! [X12,X13,X14,X15] :
( ~ class_Orderings_Opreorder(X15)
| c_HOL_Oord__class_Oless(X14,X12,X15)
| ~ c_HOL_Oord__class_Oless(X13,X12,X15)
| ~ c_lessequals(X14,X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1345]) ).
fof(c_0_2172,plain,
! [X12,X13,X14,X15] :
( ~ class_Orderings_Oorder(X15)
| c_HOL_Oord__class_Oless(X12,X14,X15)
| ~ c_HOL_Oord__class_Oless(X12,X13,X15)
| ~ c_HOL_Oord__class_Oless(X13,X14,X15) ),
inference(variable_rename,[status(thm)],[c_0_1346]) ).
fof(c_0_2173,plain,
! [X12,X13,X14,X15] :
( ~ class_Orderings_Opreorder(X15)
| c_HOL_Oord__class_Oless(X14,X12,X15)
| ~ c_HOL_Oord__class_Oless(X13,X12,X15)
| ~ c_HOL_Oord__class_Oless(X14,X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_1347]) ).
fof(c_0_2174,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Oab__group__add(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X6,X5,X7),X7) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1348]) ).
fof(c_0_2175,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X6,X5,X7),X7) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1349]) ).
fof(c_0_2176,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X6,X7),c_HOL_Oabs__class_Oabs(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1350]) ).
fof(c_0_2177,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Oab__group__add(X7)
| c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1351]) ).
fof(c_0_2178,plain,
! [X8,X9,X10] :
( ~ class_RealVector_Oreal__normed__div__algebra(X10)
| c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X9,X8,X10),X10) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X9,X10),c_RealVector_Onorm__class_Onorm(X8,X10),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1352]) ).
fof(c_0_2179,plain,
! [X6] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X6),tc_RealDef_Oreal)
| ~ c_lessequals(X6,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1353]) ).
fof(c_0_2180,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X6),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1354]) ).
fof(c_0_2181,plain,
! [X6,X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| ~ class_Int_Onumber__ring(X7)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X6,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X6,X7),X7)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X6,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1355]) ).
fof(c_0_2182,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_lessequals(X6,X5,X7)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1356]) ).
fof(c_0_2183,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_HOL_Oord__class_Oless(X6,X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1357]) ).
fof(c_0_2184,plain,
! [X27,X28,X29] :
( ~ class_Orderings_Olinorder(X29)
| ~ class_Int_Onumber(X29)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X28,X29),c_Int_Onumber__class_Onumber__of(X27,X29),X29)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X27,X29),c_Int_Onumber__class_Onumber__of(X28,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_1358]) ).
fof(c_0_2185,plain,
! [X8,X9,X10] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X10)
| c_HOL_Otimes__class_Otimes(X9,c_HOL_Otimes__class_Otimes(X9,X8,X10),X10) = c_HOL_Otimes__class_Otimes(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1359]) ).
fof(c_0_2186,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Oplus__class_Oplus(X6,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7),X7) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1360]) ).
fof(c_0_2187,plain,
! [X35,X36,X37] :
( c_lessequals(X37,X35,tc_RealDef_Oreal)
| ~ c_lessequals(X36,X35,tc_RealDef_Oreal)
| ~ c_lessequals(X37,X36,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1361]) ).
fof(c_0_2188,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Ofield(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_Int_Onumber__class_Onumber__of(X16,X19) != c_HOL_Oinverse__class_Odivide(X18,X17,X19)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19) = X18
| X17 = c_HOL_Ozero__class_Ozero(X19) ),
inference(variable_rename,[status(thm)],[c_0_1362]) ).
fof(c_0_2189,plain,
! [X16,X17,X18,X19] :
( ~ class_Ring__and__Field_Ofield(X19)
| ~ class_Ring__and__Field_Odivision__by__zero(X19)
| ~ class_Int_Onumber(X19)
| c_HOL_Oinverse__class_Odivide(X18,X17,X19) != c_Int_Onumber__class_Onumber__of(X16,X19)
| X18 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X16,X19),X17,X19)
| X17 = c_HOL_Ozero__class_Ozero(X19) ),
inference(variable_rename,[status(thm)],[c_0_1363]) ).
fof(c_0_2190,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1364]) ).
fof(c_0_2191,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1365]) ).
fof(c_0_2192,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1366]) ).
fof(c_0_2193,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X7),X6,X7)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1367]) ).
fof(c_0_2194,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7)
| ~ c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1368]) ).
fof(c_0_2195,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X6,X7),X7)
| ~ c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1369]) ).
fof(c_0_2196,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1370]) ).
fof(c_0_2197,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X7),X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1371]) ).
fof(c_0_2198,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X7),X6,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1372]) ).
fof(c_0_2199,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_HOL_Oord__class_Oless(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X6,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1373]) ).
fof(c_0_2200,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X6,X7),X7)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1374]) ).
fof(c_0_2201,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7)
| X5 = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1375]) ).
fof(c_0_2202,plain,
! [X9,X10,X11] :
( ~ class_RealVector_Oreal__normed__algebra(X11)
| c_HOL_Otimes__class_Otimes(X9,c_HOL_Ouminus__class_Ouminus(X10,X11),X11) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X9,X10,X11),X11) ),
inference(variable_rename,[status(thm)],[c_0_1376]) ).
fof(c_0_2203,plain,
! [X5,X6,X7] :
( ~ class_RealVector_Oreal__normed__algebra(X7)
| c_HOL_Otimes__class_Otimes(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1377]) ).
fof(c_0_2204,plain,
! [X8,X9,X10] :
( ~ class_RealVector_Oreal__normed__algebra(X10)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X9,X10),X8,X10) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X9,X8,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1378]) ).
fof(c_0_2205,plain,
! [X5,X6,X7] :
( ~ class_RealVector_Oreal__normed__algebra(X7)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1379]) ).
fof(c_0_2206,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oring(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1380]) ).
fof(c_0_2207,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oring(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X5,X7),X7) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1381]) ).
fof(c_0_2208,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X6,X5,X7),X7) = c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1382]) ).
fof(c_0_2209,plain,
! [X8,X9,X10] :
( ~ class_RealVector_Oreal__normed__field(X10)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X9,X10),X8,X10) = c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(X9,X8,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1383]) ).
fof(c_0_2210,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1384]) ).
fof(c_0_2211,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1385]) ).
fof(c_0_2212,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1386]) ).
fof(c_0_2213,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1387]) ).
fof(c_0_2214,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Opreorder(X10)
| c_HOL_Oord__class_Oless(X9,X8,X10)
| c_lessequals(X8,X9,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1388]) ).
fof(c_0_2215,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7)
| ~ c_lessequals(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1389]) ).
fof(c_0_2216,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X7),c_HOL_Ouminus__class_Ouminus(X6,X7),X7)
| ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1390]) ).
fof(c_0_2217,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X5),c_HOL_Oone__class_Oone(X5),X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1391]) ).
fof(c_0_2218,plain,
! [X7,X8] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X8,tc_RealDef_Oreal),X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1392]) ).
fof(c_0_2219,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oidom(X7)
| c_HOL_Otimes__class_Otimes(X6,X6,X7) != c_HOL_Otimes__class_Otimes(X5,X5,X7)
| X6 = c_HOL_Ouminus__class_Ouminus(X5,X7)
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_1393]) ).
fof(c_0_2220,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Oplus__class_Oplus(X6,X5,X7),X7) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1394]) ).
fof(c_0_2221,plain,
! [X12,X13,X14] :
( ~ class_OrderedGroup_Oab__group__add(X14)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X14),c_HOL_Oplus__class_Oplus(X13,X12,X14),X14) = X13 ),
inference(variable_rename,[status(thm)],[c_0_1395]) ).
fof(c_0_2222,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1396]) ).
fof(c_0_2223,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1397]) ).
fof(c_0_2224,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1398]) ).
fof(c_0_2225,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1399]) ).
fof(c_0_2226,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1400]) ).
fof(c_0_2227,plain,
! [X8,X9] :
( c_Transcendental_Oln(X9) != c_Transcendental_Oln(X8)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X9,tc_RealDef_Oreal)
| X9 = X8 ),
inference(variable_rename,[status(thm)],[c_0_1401]) ).
fof(c_0_2228,plain,
! [X16,X17] :
( ~ class_Ring__and__Field_Ofield(X17)
| ~ class_Ring__and__Field_Odivision__by__zero(X17)
| c_HOL_Ozero__class_Ozero(X17) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X17),X16,X17),X16,X17) ),
inference(variable_rename,[status(thm)],[c_0_1402]) ).
fof(c_0_2229,plain,
! [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(c_HOL_Ozero__class_Ozero(X17),X16,X17),X16,X17) = c_HOL_Ozero__class_Ozero(X17) ),
inference(variable_rename,[status(thm)],[c_0_1403]) ).
fof(c_0_2230,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1404]) ).
fof(c_0_2231,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1405]) ).
fof(c_0_2232,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1406]) ).
fof(c_0_2233,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1407]) ).
fof(c_0_2234,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_lessequals(X6,X5,X7)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1408]) ).
fof(c_0_2235,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| c_HOL_Oord__class_Oless(X6,X5,X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X6,X7),X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1409]) ).
fof(c_0_2236,plain,
! [X12,X13,X14,X15] :
( ~ class_Ring__and__Field_Oidom(X15)
| ~ class_Int_Onumber__ring(X15)
| c_HOL_Oplus__class_Oplus(X14,X13,X15) != c_HOL_Oplus__class_Oplus(X14,X12,X15)
| X13 = X12 ),
inference(variable_rename,[status(thm)],[c_0_1410]) ).
fof(c_0_2237,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1411]) ).
fof(c_0_2238,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1412]) ).
fof(c_0_2239,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1413]) ).
fof(c_0_2240,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1414]) ).
fof(c_0_2241,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1415]) ).
fof(c_0_2242,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Oab__group__add(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X6,X5,X7),X7) = c_HOL_Ominus__class_Ominus(X5,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1416]) ).
fof(c_0_2243,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| ~ class_Ring__and__Field_Odivision__by__zero(X18)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X17,X16,X18),X16,X18) = X17
| X16 = c_HOL_Ozero__class_Ozero(X18) ),
inference(variable_rename,[status(thm)],[c_0_1417]) ).
fof(c_0_2244,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| ~ class_Ring__and__Field_Odivision__by__zero(X18)
| X17 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X17,X16,X18),X16,X18)
| X16 = c_HOL_Ozero__class_Ozero(X18) ),
inference(variable_rename,[status(thm)],[c_0_1418]) ).
fof(c_0_2245,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| ~ class_Ring__and__Field_Odivision__by__zero(X18)
| X17 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X17,X16,X18),X16,X18)
| X16 = c_HOL_Ozero__class_Ozero(X18) ),
inference(variable_rename,[status(thm)],[c_0_1419]) ).
fof(c_0_2246,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| ~ class_Ring__and__Field_Odivision__by__zero(X18)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X17,X16,X18),X16,X18) = X17
| X16 = c_HOL_Ozero__class_Ozero(X18) ),
inference(variable_rename,[status(thm)],[c_0_1420]) ).
fof(c_0_2247,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| X9 = X8
| ~ c_lessequals(X9,X8,X10)
| ~ c_lessequals(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1421]) ).
fof(c_0_2248,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| X9 = X8
| ~ c_lessequals(X8,X9,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1422]) ).
fof(c_0_2249,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| X9 = X8
| ~ c_lessequals(X8,X9,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1423]) ).
fof(c_0_2250,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X5,c_HOL_Oone__class_Oone(X6),X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1424]) ).
fof(c_0_2251,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X19)
| c_HOL_Oplus__class_Oplus(X17,X18,X19) != c_HOL_Oplus__class_Oplus(X16,X18,X19)
| X17 = X16 ),
inference(variable_rename,[status(thm)],[c_0_1425]) ).
fof(c_0_2252,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X19)
| c_HOL_Oplus__class_Oplus(X18,X17,X19) != c_HOL_Oplus__class_Oplus(X18,X16,X19)
| X17 = X16 ),
inference(variable_rename,[status(thm)],[c_0_1426]) ).
fof(c_0_2253,plain,
! [X16,X17,X18,X19] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X19)
| c_HOL_Oplus__class_Oplus(X18,X17,X19) != c_HOL_Oplus__class_Oplus(X18,X16,X19)
| X17 = X16 ),
inference(variable_rename,[status(thm)],[c_0_1427]) ).
fof(c_0_2254,plain,
! [X11,X12,X13,X14] :
( ~ class_OrderedGroup_Oab__group__add(X14)
| c_HOL_Ominus__class_Ominus(X13,X13,X14) != c_HOL_Ominus__class_Ominus(X12,X11,X14)
| X12 = X11 ),
inference(variable_rename,[status(thm)],[c_0_1428]) ).
fof(c_0_2255,plain,
! [X9,X10,X11,X12] :
( ~ class_OrderedGroup_Oab__group__add(X12)
| c_HOL_Ominus__class_Ominus(X10,X9,X12) != c_HOL_Ominus__class_Ominus(X11,X11,X12)
| X10 = X9 ),
inference(variable_rename,[status(thm)],[c_0_1429]) ).
fof(c_0_2256,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Opreorder(X10)
| ~ c_lessequals(X8,X9,X10)
| ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1430]) ).
fof(c_0_2257,plain,
! [X6,X7] :
( ~ class_Orderings_Olinorder(X7)
| ~ c_lessequals(X6,X6,X7)
| ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1431]) ).
fof(c_0_2258,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| ~ c_HOL_Oord__class_Oless(X9,X8,X10)
| ~ c_lessequals(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1432]) ).
fof(c_0_2259,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| ~ c_lessequals(X9,X8,X10)
| ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1433]) ).
fof(c_0_2260,plain,
! [X5,X6,X7] :
( ~ class_Orderings_Opreorder(X7)
| ~ c_HOL_Oord__class_Oless(X5,X6,X7)
| ~ c_HOL_Oord__class_Oless(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1434]) ).
fof(c_0_2261,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Opreorder(X10)
| ~ c_HOL_Oord__class_Oless(X8,X9,X10)
| ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1435]) ).
fof(c_0_2262,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| ~ c_HOL_Oord__class_Oless(X9,X8,X10)
| ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1436]) ).
fof(c_0_2263,plain,
! [X5,X6,X7] :
( ~ class_Orderings_Oorder(X7)
| ~ c_HOL_Oord__class_Oless(X6,X5,X7)
| ~ c_HOL_Oord__class_Oless(X5,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1437]) ).
fof(c_0_2264,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Oinverse__class_Odivide(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1438]) ).
fof(c_0_2265,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X5,X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1439]) ).
fof(c_0_2266,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| X16 = c_HOL_Ozero__class_Ozero(X18)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X17,X16,X18),X16,X18) = X17 ),
inference(variable_rename,[status(thm)],[c_0_1440]) ).
fof(c_0_2267,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ofield(X18)
| X16 = c_HOL_Ozero__class_Ozero(X18)
| X17 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X17,X16,X18),X16,X18) ),
inference(variable_rename,[status(thm)],[c_0_1441]) ).
fof(c_0_2268,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Oinverse__class_Odivide(X6,X5,X7)
| X5 = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1442]) ).
fof(c_0_2269,plain,
! [X7,X8] :
( c_lessequals(X7,X8,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1443]) ).
fof(c_0_2270,plain,
! [X16,X17,X18] :
( c_HOL_Otimes__class_Otimes(X18,X16,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X17,X16,tc_RealDef_Oreal)
| X16 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X18 = X17 ),
inference(variable_rename,[status(thm)],[c_0_1444]) ).
fof(c_0_2271,plain,
! [X16,X17,X18] :
( c_HOL_Otimes__class_Otimes(X16,X18,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X16,X17,tc_RealDef_Oreal)
| X16 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X18 = X17 ),
inference(variable_rename,[status(thm)],[c_0_1445]) ).
fof(c_0_2272,plain,
! [X12,X13] :
( X12 = X13
| ~ c_lessequals(X13,X12,tc_RealDef_Oreal)
| ~ c_lessequals(X12,X13,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1446]) ).
fof(c_0_2273,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X6,X5,X7),X5,X7) = X6 ),
inference(variable_rename,[status(thm)],[c_0_1447]) ).
fof(c_0_2274,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X6,X5,X7),X5,X7) = X6 ),
inference(variable_rename,[status(thm)],[c_0_1448]) ).
fof(c_0_2275,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oring(X7)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X6,X7),X5,X7) = c_HOL_Otimes__class_Otimes(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1449]) ).
fof(c_0_2276,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oring(X7)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X6,X7),c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Otimes__class_Otimes(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1450]) ).
fof(c_0_2277,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Otimes__class_Otimes(X5,X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1451]) ).
fof(c_0_2278,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Oabs__class_Oabs(X5,X6),X6) = c_HOL_Otimes__class_Otimes(X5,X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1452]) ).
fof(c_0_2279,plain,
! [X12,X13] :
( ~ class_Int_Onumber__ring(X13)
| c_HOL_Otimes__class_Otimes(X12,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X13),X13) = c_HOL_Oplus__class_Oplus(X12,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_1453]) ).
fof(c_0_2280,plain,
! [X12,X13] :
( ~ class_Int_Onumber__ring(X13)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X13),X12,X13) = c_HOL_Oplus__class_Oplus(X12,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_1454]) ).
fof(c_0_2281,plain,
! [X6] :
( X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1455]) ).
fof(c_0_2282,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X5),X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1456]) ).
fof(c_0_2283,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| c_HOL_Oinverse__class_Odivide(X6,c_HOL_Ozero__class_Ozero(X7),X7) != c_Int_Onumber__class_Onumber__of(X5,X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1457]) ).
fof(c_0_2284,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) != c_HOL_Oinverse__class_Odivide(X6,c_HOL_Ozero__class_Ozero(X7),X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1458]) ).
fof(c_0_2285,plain,
! [X8,X9] :
( c_lessequals(X9,X8,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1459]) ).
fof(c_0_2286,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1460]) ).
fof(c_0_2287,plain,
! [X5] :
( ~ class_RealVector_Oreal__normed__vector(X5)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X5),X5),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1461]) ).
fof(c_0_2288,plain,
! [X6,X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| ~ class_Int_Onumber__ring(X7)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X6,X7),X7) = c_Int_Onumber__class_Onumber__of(X6,X7)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X6,X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1462]) ).
fof(c_0_2289,plain,
! [X8] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1463]) ).
fof(c_0_2290,plain,
! [X6] :
( c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1464]) ).
fof(c_0_2291,plain,
! [X6] :
( c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1465]) ).
fof(c_0_2292,plain,
! [X8] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1466]) ).
fof(c_0_2293,plain,
! [X6] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1467]) ).
fof(c_0_2294,plain,
! [X8] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1468]) ).
fof(c_0_2295,plain,
! [X6] :
( c_lessequals(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1469]) ).
fof(c_0_2296,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1470]) ).
fof(c_0_2297,plain,
! [X8] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1471]) ).
fof(c_0_2298,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1472]) ).
fof(c_0_2299,plain,
! [X5,X6,X7] :
( ~ class_Orderings_Oorder(X7)
| c_HOL_Oord__class_Oless(X5,X6,X7)
| X6 = X5
| ~ c_lessequals(X5,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1473]) ).
fof(c_0_2300,plain,
! [X5,X6,X7] :
( ~ class_Orderings_Oorder(X7)
| c_HOL_Oord__class_Oless(X5,X6,X7)
| ~ c_lessequals(X5,X6,X7)
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_1474]) ).
fof(c_0_2301,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| X9 = X8
| c_HOL_Oord__class_Oless(X9,X8,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1475]) ).
fof(c_0_2302,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| X9 = X8
| ~ c_lessequals(X9,X8,X10)
| c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1476]) ).
fof(c_0_2303,plain,
! [X5,X6,X7] :
( ~ class_Orderings_Oorder(X7)
| c_HOL_Oord__class_Oless(X6,X5,X7)
| ~ c_lessequals(X6,X5,X7)
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_1477]) ).
fof(c_0_2304,plain,
! [X5,X6,X7] :
( ~ class_Orderings_Oorder(X7)
| c_HOL_Oord__class_Oless(X6,X5,X7)
| X6 = X5
| ~ c_lessequals(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1478]) ).
fof(c_0_2305,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| X9 = X8
| c_HOL_Oord__class_Oless(X9,X8,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1479]) ).
fof(c_0_2306,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| c_HOL_Oord__class_Oless(X9,X8,X10)
| X9 = X8
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1480]) ).
fof(c_0_2307,plain,
! [X8,X9] :
( c_lessequals(c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
| ~ c_lessequals(X9,X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1481]) ).
fof(c_0_2308,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X9),c_NthRoot_Osqrt(X8),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1482]) ).
fof(c_0_2309,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1483]) ).
fof(c_0_2310,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Opreorder(X10)
| c_lessequals(X9,X8,X10)
| ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1484]) ).
fof(c_0_2311,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| c_lessequals(X9,X8,X10)
| ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1485]) ).
fof(c_0_2312,plain,
! [X6] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X6),X6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1486]) ).
fof(c_0_2313,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X5,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1487]) ).
fof(c_0_2314,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X5,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1488]) ).
fof(c_0_2315,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Ominus__class_Ominus(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) = c_HOL_Oplus__class_Oplus(X6,X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1489]) ).
fof(c_0_2316,plain,
! [X8,X9,X10] :
( ~ class_OrderedGroup_Oab__group__add(X10)
| c_HOL_Ominus__class_Ominus(X9,X8,X10) = c_HOL_Oplus__class_Oplus(X9,c_HOL_Ouminus__class_Ouminus(X8,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1490]) ).
fof(c_0_2317,plain,
! [X8,X9,X10] :
( ~ class_Int_Onumber__ring(X10)
| c_HOL_Ominus__class_Ominus(X9,X8,X10) = c_HOL_Oplus__class_Oplus(X9,c_HOL_Ouminus__class_Ouminus(X8,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1491]) ).
fof(c_0_2318,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Ominus__class_Ominus(X6,X5,X7) = c_HOL_Oplus__class_Oplus(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1492]) ).
fof(c_0_2319,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Oab__group__add(X7)
| c_HOL_Ominus__class_Ominus(X6,X5,X7) = c_HOL_Oplus__class_Oplus(X6,c_HOL_Ouminus__class_Ouminus(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1493]) ).
fof(c_0_2320,plain,
! [X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| X6 = c_HOL_Ozero__class_Ozero(X7)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X6,X7),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1494]) ).
fof(c_0_2321,plain,
! [X8,X9] :
( c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal)
| X9 = X8
| ~ c_lessequals(X9,X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1495]) ).
fof(c_0_2322,plain,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1496]) ).
fof(c_0_2323,plain,
! [X8,X9] :
( c_lessequals(X9,X8,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X9,X8,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1497]) ).
fof(c_0_2324,plain,
! [X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X6,X7),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1498]) ).
fof(c_0_2325,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1499]) ).
fof(c_0_2326,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| c_HOL_Ozero__class_Ozero(X7) = c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(X5,X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1500]) ).
fof(c_0_2327,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6)
| ~ c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1501]) ).
fof(c_0_2328,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1502]) ).
fof(c_0_2329,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oabs__if(X6)
| c_HOL_Oabs__class_Oabs(X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1503]) ).
fof(c_0_2330,plain,
! [X6,X7] :
( c_HOL_Oplus__class_Oplus(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X6 = X7 ),
inference(variable_rename,[status(thm)],[c_0_1504]) ).
fof(c_0_2331,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| c_HOL_Oinverse__class_Odivide(X6,c_HOL_Ozero__class_Ozero(X7),X7) = c_Int_Onumber__class_Onumber__of(X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1505]) ).
fof(c_0_2332,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber(X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| c_Int_Onumber__class_Onumber__of(X5,X7) = c_HOL_Oinverse__class_Odivide(X6,c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1506]) ).
fof(c_0_2333,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oordered__idom(X10)
| c_HOL_Oord__class_Oless(X8,X9,X10)
| c_HOL_Oord__class_Oless(X9,X8,X10)
| X9 = X8 ),
inference(variable_rename,[status(thm)],[c_0_1507]) ).
fof(c_0_2334,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| X9 = X8
| c_HOL_Oord__class_Oless(X8,X9,X10)
| c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1508]) ).
fof(c_0_2335,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| X9 = X8
| c_HOL_Oord__class_Oless(X9,X8,X10)
| c_HOL_Oord__class_Oless(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1509]) ).
fof(c_0_2336,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X8,X9,X10)
| X9 = X8
| c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1510]) ).
fof(c_0_2337,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X8,X9,X10)
| c_HOL_Oord__class_Oless(X9,X8,X10)
| X9 = X8 ),
inference(variable_rename,[status(thm)],[c_0_1511]) ).
fof(c_0_2338,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X5,X6) = X5
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1512]) ).
fof(c_0_2339,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X5,X6) = X5
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1513]) ).
fof(c_0_2340,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X8,X9,X10)
| c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1514]) ).
fof(c_0_2341,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X9,X8,X10)
| c_lessequals(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1515]) ).
fof(c_0_2342,plain,
! [X6,X7] :
( ~ class_Orderings_Olinorder(X7)
| c_HOL_Oord__class_Oless(X6,X6,X7)
| c_lessequals(X6,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1516]) ).
fof(c_0_2343,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X8,X9,X10)
| c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1517]) ).
fof(c_0_2344,plain,
! [X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X8,X9,X10)
| c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1518]) ).
fof(c_0_2345,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X7)
| c_HOL_Oplus__class_Oplus(X6,X5,X7) = c_HOL_Oplus__class_Oplus(X5,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1519]) ).
fof(c_0_2346,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
| c_HOL_Oplus__class_Oplus(X9,X8,X10) = c_HOL_Oplus__class_Oplus(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1520]) ).
fof(c_0_2347,plain,
! [X16,X17,X18] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X18)
| c_HOL_Oplus__class_Oplus(X17,X16,X18) = c_HOL_Oplus__class_Oplus(X16,X17,X18) ),
inference(variable_rename,[status(thm)],[c_0_1521]) ).
fof(c_0_2348,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
| c_HOL_Otimes__class_Otimes(X9,X8,X10) = c_HOL_Otimes__class_Otimes(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1522]) ).
fof(c_0_2349,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X7)
| c_HOL_Otimes__class_Otimes(X6,X5,X7) = c_HOL_Otimes__class_Otimes(X5,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1523]) ).
fof(c_0_2350,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Oplus__class_Oplus(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| c_HOL_Ouminus__class_Ouminus(X6,X7) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1524]) ).
fof(c_0_2351,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Oplus__class_Oplus(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| X6 = c_HOL_Ouminus__class_Ouminus(X5,X7) ),
inference(variable_rename,[status(thm)],[c_0_1525]) ).
fof(c_0_2352,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_1526]) ).
fof(c_0_2353,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,X6),c_HOL_Oabs__class_Oabs(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1527]) ).
fof(c_0_2354,plain,
! [X7] :
( c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1528]) ).
fof(c_0_2355,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1529]) ).
fof(c_0_2356,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1530]) ).
fof(c_0_2357,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X7)
| c_HOL_Otimes__class_Otimes(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| X5 = c_HOL_Ozero__class_Ozero(X7)
| X6 = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1531]) ).
fof(c_0_2358,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X7)
| c_HOL_Otimes__class_Otimes(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| X5 = c_HOL_Ozero__class_Ozero(X7)
| X6 = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1532]) ).
fof(c_0_2359,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X7)
| c_HOL_Otimes__class_Otimes(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| X6 = c_HOL_Ozero__class_Ozero(X7)
| X5 = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1533]) ).
fof(c_0_2360,plain,
! [X8,X9,X10] :
( ~ class_Ring__and__Field_Oidom(X10)
| ~ class_Int_Onumber__ring(X10)
| c_HOL_Ominus__class_Ominus(X9,X8,X10) != c_HOL_Ozero__class_Ozero(X10)
| X9 = X8 ),
inference(variable_rename,[status(thm)],[c_0_1534]) ).
fof(c_0_2361,plain,
! [X6,X7,X8] :
( ~ class_Ring__and__Field_Oidom(X8)
| ~ class_Int_Onumber__ring(X8)
| X6 != c_HOL_Oplus__class_Oplus(X6,X7,X8)
| X7 = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1535]) ).
fof(c_0_2362,plain,
! [X5,X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| c_HOL_Oinverse__class_Odivide(X6,X5,X7) != c_HOL_Oone__class_Oone(X7)
| X5 = c_HOL_Ozero__class_Ozero(X7)
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_1536]) ).
fof(c_0_2363,plain,
! [X12,X13] :
( c_lessequals(X13,X12,tc_RealDef_Oreal)
| c_lessequals(X12,X13,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1537]) ).
fof(c_0_2364,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Ozero__class_Ozero(X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1538]) ).
fof(c_0_2365,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X5,X5,X6) != c_HOL_Ozero__class_Ozero(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1539]) ).
fof(c_0_2366,plain,
! [X6] :
( c_NthRoot_Osqrt(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
| X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1540]) ).
fof(c_0_2367,plain,
! [X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Ring__and__Field_Odivision__by__zero(X7)
| ~ class_Int_Onumber__ring(X7)
| c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1541]) ).
fof(c_0_2368,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oinverse__class_Odivide(X5,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1542]) ).
fof(c_0_2369,plain,
! [X6,X7] :
( ~ class_Ring__and__Field_Ofield(X7)
| ~ class_Int_Onumber__ring(X7)
| c_HOL_Oinverse__class_Odivide(X6,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X7),X7) = X6 ),
inference(variable_rename,[status(thm)],[c_0_1543]) ).
fof(c_0_2370,plain,
! [X5] :
( ~ class_RealVector_Oreal__normed__vector(X5)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X5),X5),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1544]) ).
fof(c_0_2371,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Oab__group__add(X7)
| c_HOL_Ominus__class_Ominus(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_1545]) ).
fof(c_0_2372,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Ominus__class_Ominus(X6,X5,X7) != c_HOL_Ozero__class_Ozero(X7)
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_1546]) ).
fof(c_0_2373,plain,
! [X8,X9] :
( c_HOL_Oplus__class_Oplus(X9,X8,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X8 = c_HOL_Ouminus__class_Ouminus(X9,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1547]) ).
fof(c_0_2374,plain,
! [X5] :
( ~ class_Int_Onumber__ring(X5)
| c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X5),c_HOL_Oone__class_Oone(X5),X5) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X5) ),
inference(variable_rename,[status(thm)],[c_0_1548]) ).
fof(c_0_2375,plain,
! [X6] :
( c_NthRoot_Osqrt(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1549]) ).
fof(c_0_2376,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oabs__class_Oabs(X5,X6),X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1550]) ).
fof(c_0_2377,plain,
! [X5,X6] :
( ~ class_Int_Onumber__ring(X6)
| c_HOL_Otimes__class_Otimes(X5,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1551]) ).
fof(c_0_2378,plain,
! [X5,X6] :
( ~ class_Int_Onumber__ring(X6)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X6),X5,X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1552]) ).
fof(c_0_2379,plain,
! [X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X7),tc_RealDef_Oreal)
| X6 = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1553]) ).
fof(c_0_2380,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oabs__class_Oabs(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1554]) ).
fof(c_0_2381,plain,
! [X6,X7] :
( ~ class_Orderings_Olinorder(X7)
| ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1555]) ).
fof(c_0_2382,plain,
! [X6,X7] :
( ~ class_Orderings_Oorder(X7)
| ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1556]) ).
fof(c_0_2383,plain,
! [X6,X7] :
( ~ class_Orderings_Opreorder(X7)
| ~ c_HOL_Oord__class_Oless(X6,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1557]) ).
fof(c_0_2384,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1558]) ).
fof(c_0_2385,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1559]) ).
fof(c_0_2386,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1560]) ).
fof(c_0_2387,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1561]) ).
fof(c_0_2388,plain,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X5,X6) = X5
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1562]) ).
fof(c_0_2389,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra__1(X6)
| ~ class_Int_Onumber__ring(X6)
| c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X5,X6),X6) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1563]) ).
fof(c_0_2390,plain,
! [X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X6,X7),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1564]) ).
fof(c_0_2391,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(X5,c_HOL_Oabs__class_Oabs(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1565]) ).
fof(c_0_2392,plain,
! [X5,X6] :
( ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(X5,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1566]) ).
fof(c_0_2393,plain,
! [X5,X6] :
( ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X6),X5,X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1567]) ).
fof(c_0_2394,plain,
! [X5] :
( ~ class_Ring__and__Field_Ofield(X5)
| ~ class_Ring__and__Field_Odivision__by__zero(X5)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
inference(variable_rename,[status(thm)],[c_0_1568]) ).
fof(c_0_2395,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oabs__if(X6)
| c_HOL_Oabs__class_Oabs(X5,X6) = X5
| c_HOL_Oord__class_Oless(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1569]) ).
fof(c_0_2396,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ouminus__class_Ouminus(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1570]) ).
fof(c_0_2397,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_HOL_Ozero__class_Ozero(X6) = c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1571]) ).
fof(c_0_2398,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1572]) ).
fof(c_0_2399,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_HOL_Oinverse__class_Odivide(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1573]) ).
fof(c_0_2400,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| ~ class_Ring__and__Field_Odivision__by__zero(X6)
| c_HOL_Oinverse__class_Odivide(X5,X5,X6) = c_HOL_Oone__class_Oone(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1574]) ).
fof(c_0_2401,plain,
! [X5] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X5)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X5),c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
inference(variable_rename,[status(thm)],[c_0_1575]) ).
fof(c_0_2402,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_1576]) ).
fof(c_0_2403,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| c_lessequals(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oone__class_Oone(X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1577]) ).
fof(c_0_2404,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__semidom(X5)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X5),c_HOL_Oone__class_Oone(X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1578]) ).
fof(c_0_2405,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_1579]) ).
fof(c_0_2406,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1580]) ).
fof(c_0_2407,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1581]) ).
fof(c_0_2408,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Omult__zero(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1582]) ).
fof(c_0_2409,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Omult__zero(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1583]) ).
fof(c_0_2410,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_1584]) ).
fof(c_0_2411,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_1585]) ).
fof(c_0_2412,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1586]) ).
fof(c_0_2413,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1587]) ).
fof(c_0_2414,plain,
! [X8,X9] :
( ~ class_RealVector_Oreal__normed__algebra(X9)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X9),X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[c_0_1588]) ).
fof(c_0_2415,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1589]) ).
fof(c_0_2416,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1590]) ).
fof(c_0_2417,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X6),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1591]) ).
fof(c_0_2418,plain,
! [X8,X9] :
( ~ class_RealVector_Oreal__normed__field(X9)
| c_HOL_Oinverse__class_Odivide(c_HOL_Ozero__class_Ozero(X9),X8,X9) = c_HOL_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[c_0_1592]) ).
fof(c_0_2419,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| c_HOL_Oinverse__class_Odivide(X5,X5,X6) = c_HOL_Oone__class_Oone(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1593]) ).
fof(c_0_2420,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_1594]) ).
fof(c_0_2421,plain,
! [X7] :
( c_HOL_Oabs__class_Oabs(X7,tc_RealDef_Oreal) = X7
| c_HOL_Oord__class_Oless(X7,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1595]) ).
fof(c_0_2422,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Omonoid__mult(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Oone__class_Oone(X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1596]) ).
fof(c_0_2423,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Omonoid__mult(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X6),X5,X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1597]) ).
fof(c_0_2424,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X6),X5,X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1598]) ).
fof(c_0_2425,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_1599]) ).
fof(c_0_2426,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Oone__class_Oone(X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1600]) ).
fof(c_0_2427,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X6),X5,X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1601]) ).
fof(c_0_2428,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Omonoid__add(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1602]) ).
fof(c_0_2429,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Omonoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X5,X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1603]) ).
fof(c_0_2430,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1604]) ).
fof(c_0_2431,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_1605]) ).
fof(c_0_2432,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X5,X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1606]) ).
fof(c_0_2433,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1607]) ).
fof(c_0_2434,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X5,X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1608]) ).
fof(c_0_2435,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ofield(X6)
| c_HOL_Oinverse__class_Odivide(X5,c_HOL_Oone__class_Oone(X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1609]) ).
fof(c_0_2436,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X5,c_HOL_Ozero__class_Ozero(X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1610]) ).
fof(c_0_2437,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_1611]) ).
fof(c_0_2438,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_1612]) ).
fof(c_0_2439,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1613]) ).
fof(c_0_2440,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_1614]) ).
fof(c_0_2441,plain,
! [X6,X7] :
( ~ class_Orderings_Oorder(X7)
| c_lessequals(X6,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1615]) ).
fof(c_0_2442,plain,
! [X6,X7] :
( ~ class_Orderings_Opreorder(X7)
| c_lessequals(X6,X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1616]) ).
fof(c_0_2443,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Oabs__class_Oabs(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1617]) ).
fof(c_0_2444,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X5,X6),X6) = c_HOL_Oabs__class_Oabs(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1618]) ).
fof(c_0_2445,plain,
! [X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X6,X7),X7) = c_RealVector_Onorm__class_Onorm(X6,X7) ),
inference(variable_rename,[status(thm)],[c_0_1619]) ).
fof(c_0_2446,plain,
! [X8,X9,X10] :
( ~ class_Int_Oring__char__0(X10)
| ~ class_Int_Onumber__ring(X10)
| c_Int_Onumber__class_Onumber__of(X9,X10) != c_Int_Onumber__class_Onumber__of(X8,X10)
| X9 = X8 ),
inference(variable_rename,[status(thm)],[c_0_1620]) ).
fof(c_0_2447,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X5,X6),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X5,X6) ),
inference(variable_rename,[status(thm)],[c_0_1621]) ).
fof(c_0_2448,plain,
! [X8,X9,X10] :
( ~ class_Lattices_Oboolean__algebra(X10)
| c_HOL_Ouminus__class_Ouminus(X9,X10) != c_HOL_Ouminus__class_Ouminus(X8,X10)
| X9 = X8 ),
inference(variable_rename,[status(thm)],[c_0_1622]) ).
fof(c_0_2449,plain,
! [X5,X6,X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Ouminus__class_Ouminus(X6,X7) != c_HOL_Ouminus__class_Ouminus(X5,X7)
| X6 = X5 ),
inference(variable_rename,[status(thm)],[c_0_1623]) ).
fof(c_0_2450,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1624]) ).
fof(c_0_2451,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| X5 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1625]) ).
fof(c_0_2452,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| X5 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) ),
inference(variable_rename,[status(thm)],[c_0_1626]) ).
fof(c_0_2453,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_1627]) ).
fof(c_0_2454,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1628]) ).
fof(c_0_2455,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X5,X6) != c_HOL_Ozero__class_Ozero(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1629]) ).
fof(c_0_2456,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(X5,X6) != c_HOL_Ozero__class_Ozero(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1630]) ).
fof(c_0_2457,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ozero__class_Ozero(X6) != c_HOL_Ouminus__class_Ouminus(X5,X6)
| c_HOL_Ozero__class_Ozero(X6) = X5 ),
inference(variable_rename,[status(thm)],[c_0_1631]) ).
fof(c_0_2458,plain,
! [X6,X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_RealVector_Onorm__class_Onorm(X6,X7) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X6 = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1632]) ).
fof(c_0_2459,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_HOL_Ouminus__class_Ouminus(X5,X6) != X5
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(variable_rename,[status(thm)],[c_0_1633]) ).
fof(c_0_2460,plain,
! [X5] :
( ~ class_Ring__and__Field_Oordered__idom(X5)
| c_HOL_Oabs__class_Oabs(c_HOL_Oone__class_Oone(X5),X5) = c_HOL_Oone__class_Oone(X5) ),
inference(variable_rename,[status(thm)],[c_0_1634]) ).
fof(c_0_2461,plain,
! [X5] :
( ~ class_OrderedGroup_Ogroup__add(X5)
| c_HOL_Ozero__class_Ozero(X5) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X5),X5) ),
inference(variable_rename,[status(thm)],[c_0_1635]) ).
fof(c_0_2462,plain,
! [X5] :
( ~ class_OrderedGroup_Ogroup__add(X5)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
inference(variable_rename,[status(thm)],[c_0_1636]) ).
fof(c_0_2463,plain,
! [X5] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X5)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
inference(variable_rename,[status(thm)],[c_0_1637]) ).
fof(c_0_2464,plain,
! [X5] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X5)
| c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(X5) ),
inference(variable_rename,[status(thm)],[c_0_1638]) ).
fof(c_0_2465,plain,
! [X5] :
( ~ class_RealVector_Oreal__normed__vector(X5)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X5),X5) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1639]) ).
fof(c_0_2466,plain,
! [X5] :
( ~ class_Int_Onumber__ring(X5)
| c_HOL_Oone__class_Oone(X5) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X5) ),
inference(variable_rename,[status(thm)],[c_0_1640]) ).
fof(c_0_2467,plain,
! [X5] :
( ~ class_Int_Onumber__ring(X5)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X5) = c_HOL_Oone__class_Oone(X5) ),
inference(variable_rename,[status(thm)],[c_0_1641]) ).
fof(c_0_2468,plain,
! [X5] :
( ~ class_Int_Onumber__ring(X5)
| c_Int_Onumber__class_Onumber__of(c_Int_OPls,X5) = c_HOL_Ozero__class_Ozero(X5) ),
inference(variable_rename,[status(thm)],[c_0_1642]) ).
fof(c_0_2469,plain,
! [X5] :
( ~ class_Int_Onumber__ring(X5)
| c_HOL_Ozero__class_Ozero(X5) = c_Int_Onumber__class_Onumber__of(c_Int_OPls,X5) ),
inference(variable_rename,[status(thm)],[c_0_1643]) ).
fof(c_0_2470,plain,
! [X5] :
( ~ class_Ring__and__Field_Ozero__neq__one(X5)
| c_HOL_Ozero__class_Ozero(X5) != c_HOL_Oone__class_Oone(X5) ),
inference(variable_rename,[status(thm)],[c_0_1644]) ).
fof(c_0_2471,plain,
! [X5] :
( ~ class_Ring__and__Field_Ozero__neq__one(X5)
| c_HOL_Oone__class_Oone(X5) != c_HOL_Ozero__class_Ozero(X5) ),
inference(variable_rename,[status(thm)],[c_0_1645]) ).
fof(c_0_2472,plain,
! [X8,X9] :
( c_NthRoot_Osqrt(X9) != c_NthRoot_Osqrt(X8)
| X9 = X8 ),
inference(variable_rename,[status(thm)],[c_0_1646]) ).
fof(c_0_2473,plain,
! [X14,X15] :
( c_Int_OBit0(X15) != c_Int_OBit0(X14)
| X15 = X14 ),
inference(variable_rename,[status(thm)],[c_0_1647]) ).
fof(c_0_2474,plain,
! [X14,X15] :
( c_Int_OBit1(X15) != c_Int_OBit1(X14)
| X15 = X14 ),
inference(variable_rename,[status(thm)],[c_0_1648]) ).
fof(c_0_2475,plain,
! [X6] :
( c_NthRoot_Osqrt(X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X6 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1649]) ).
fof(c_0_2476,plain,
! [X14] :
( c_Int_OBit0(X14) != c_Int_OPls
| X14 = c_Int_OPls ),
inference(variable_rename,[status(thm)],[c_0_1650]) ).
fof(c_0_2477,plain,
! [X13] :
( c_Int_OPls != c_Int_OBit0(X13)
| c_Int_OPls = X13 ),
inference(variable_rename,[status(thm)],[c_0_1651]) ).
cnf(c_0_2478,plain,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1652]) ).
cnf(c_0_2479,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1653]) ).
cnf(c_0_2480,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_1654]) ).
cnf(c_0_2481,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1655]) ).
cnf(c_0_2482,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1656]) ).
cnf(c_0_2483,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1657]) ).
cnf(c_0_2484,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1658]) ).
cnf(c_0_2485,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X4,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X4,X3),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1659]) ).
cnf(c_0_2486,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1660]) ).
cnf(c_0_2487,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1661]) ).
cnf(c_0_2488,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_1662]) ).
cnf(c_0_2489,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1663]) ).
cnf(c_0_2490,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1664]) ).
cnf(c_0_2491,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1665]) ).
cnf(c_0_2492,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1666]) ).
cnf(c_0_2493,plain,
( c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1667]) ).
cnf(c_0_2494,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1668]) ).
cnf(c_0_2495,plain,
( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1669]) ).
cnf(c_0_2496,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1670]) ).
cnf(c_0_2497,plain,
( c_lessequals(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1671]) ).
cnf(c_0_2498,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1672]) ).
cnf(c_0_2499,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1673]) ).
cnf(c_0_2500,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1674]) ).
cnf(c_0_2501,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1675]) ).
cnf(c_0_2502,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1676]) ).
cnf(c_0_2503,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_1677]) ).
cnf(c_0_2504,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_1678]) ).
cnf(c_0_2505,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1679]) ).
cnf(c_0_2506,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1680]) ).
cnf(c_0_2507,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1681]) ).
cnf(c_0_2508,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1682]) ).
cnf(c_0_2509,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1683]) ).
cnf(c_0_2510,plain,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1684]) ).
cnf(c_0_2511,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1685]) ).
cnf(c_0_2512,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1686]) ).
cnf(c_0_2513,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1687]) ).
cnf(c_0_2514,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1688]) ).
cnf(c_0_2515,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1689]) ).
cnf(c_0_2516,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1690]) ).
cnf(c_0_2517,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_1691]) ).
cnf(c_0_2518,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_1692]) ).
cnf(c_0_2519,plain,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1693]) ).
cnf(c_0_2520,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1694]) ).
cnf(c_0_2521,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1695]) ).
cnf(c_0_2522,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1696]) ).
cnf(c_0_2523,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1697]) ).
cnf(c_0_2524,plain,
( X3 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1698]) ).
cnf(c_0_2525,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1699]) ).
cnf(c_0_2526,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1700]) ).
cnf(c_0_2527,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_1701]) ).
cnf(c_0_2528,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_1702]) ).
cnf(c_0_2529,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_1703]) ).
cnf(c_0_2530,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_1704]) ).
cnf(c_0_2531,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_1705]) ).
cnf(c_0_2532,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1706]) ).
cnf(c_0_2533,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1707]) ).
cnf(c_0_2534,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1708]) ).
cnf(c_0_2535,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1709]) ).
cnf(c_0_2536,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1710]) ).
cnf(c_0_2537,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1711]) ).
cnf(c_0_2538,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1712]) ).
cnf(c_0_2539,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1713]) ).
cnf(c_0_2540,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1714]) ).
cnf(c_0_2541,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1715]) ).
cnf(c_0_2542,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1716]) ).
cnf(c_0_2543,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1717]) ).
cnf(c_0_2544,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1718]) ).
cnf(c_0_2545,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1719]) ).
cnf(c_0_2546,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1720]) ).
cnf(c_0_2547,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1721]) ).
cnf(c_0_2548,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1722]) ).
cnf(c_0_2549,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1723]) ).
cnf(c_0_2550,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1724]) ).
cnf(c_0_2551,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1725]) ).
cnf(c_0_2552,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1726]) ).
cnf(c_0_2553,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1727]) ).
cnf(c_0_2554,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1728]) ).
cnf(c_0_2555,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1729]) ).
cnf(c_0_2556,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1730]) ).
cnf(c_0_2557,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1731]) ).
cnf(c_0_2558,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1732]) ).
cnf(c_0_2559,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1733]) ).
cnf(c_0_2560,plain,
( c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1734]) ).
cnf(c_0_2561,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1735]) ).
cnf(c_0_2562,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1736]) ).
cnf(c_0_2563,plain,
( c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1737]) ).
cnf(c_0_2564,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1738]) ).
cnf(c_0_2565,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1739]) ).
cnf(c_0_2566,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1740]) ).
cnf(c_0_2567,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1741]) ).
cnf(c_0_2568,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1742]) ).
cnf(c_0_2569,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1743]) ).
cnf(c_0_2570,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1744]) ).
cnf(c_0_2571,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1745]) ).
cnf(c_0_2572,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1746]) ).
cnf(c_0_2573,plain,
( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1747]) ).
cnf(c_0_2574,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1748]) ).
cnf(c_0_2575,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1749]) ).
cnf(c_0_2576,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1750]) ).
cnf(c_0_2577,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1751]) ).
cnf(c_0_2578,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1752]) ).
cnf(c_0_2579,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1753]) ).
cnf(c_0_2580,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1754]) ).
cnf(c_0_2581,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1755]) ).
cnf(c_0_2582,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1756]) ).
cnf(c_0_2583,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1757]) ).
cnf(c_0_2584,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1758]) ).
cnf(c_0_2585,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1759]) ).
cnf(c_0_2586,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1760]) ).
cnf(c_0_2587,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1761]) ).
cnf(c_0_2588,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1762]) ).
cnf(c_0_2589,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1763]) ).
cnf(c_0_2590,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1764]) ).
cnf(c_0_2591,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1765]) ).
cnf(c_0_2592,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_1766]) ).
cnf(c_0_2593,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_1767]) ).
cnf(c_0_2594,plain,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1768]) ).
cnf(c_0_2595,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1769]) ).
cnf(c_0_2596,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1770]) ).
cnf(c_0_2597,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1771]) ).
cnf(c_0_2598,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1772]) ).
cnf(c_0_2599,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1773]) ).
cnf(c_0_2600,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1774]) ).
cnf(c_0_2601,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1775]) ).
cnf(c_0_2602,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1776]) ).
cnf(c_0_2603,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1777]) ).
cnf(c_0_2604,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1778]) ).
cnf(c_0_2605,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1779]) ).
cnf(c_0_2606,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1780]) ).
cnf(c_0_2607,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1781]) ).
cnf(c_0_2608,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1782]) ).
cnf(c_0_2609,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1783]) ).
cnf(c_0_2610,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1784]) ).
cnf(c_0_2611,plain,
( c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1785]) ).
cnf(c_0_2612,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1786]) ).
cnf(c_0_2613,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1787]) ).
cnf(c_0_2614,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1788]) ).
cnf(c_0_2615,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1789]) ).
cnf(c_0_2616,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1790]) ).
cnf(c_0_2617,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1791]) ).
cnf(c_0_2618,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2619,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1793]) ).
cnf(c_0_2620,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1794]) ).
cnf(c_0_2621,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1795]) ).
cnf(c_0_2622,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1796]) ).
cnf(c_0_2623,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1797]) ).
cnf(c_0_2624,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1798]) ).
cnf(c_0_2625,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1799]) ).
cnf(c_0_2626,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1800]) ).
cnf(c_0_2627,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1801]) ).
cnf(c_0_2628,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1802]) ).
cnf(c_0_2629,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1803]) ).
cnf(c_0_2630,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1804]) ).
cnf(c_0_2631,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1805]) ).
cnf(c_0_2632,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1806]) ).
cnf(c_0_2633,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1807]) ).
cnf(c_0_2634,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1808]) ).
cnf(c_0_2635,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1809]) ).
cnf(c_0_2636,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1810]) ).
cnf(c_0_2637,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1811]) ).
cnf(c_0_2638,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1812]) ).
cnf(c_0_2639,plain,
( c_HOL_Oord__class_Oless(X4,X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1813]) ).
cnf(c_0_2640,plain,
( c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1814]) ).
cnf(c_0_2641,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1815]) ).
cnf(c_0_2642,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1816]) ).
cnf(c_0_2643,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1817]) ).
cnf(c_0_2644,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1818]) ).
cnf(c_0_2645,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1819]) ).
cnf(c_0_2646,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1820]) ).
cnf(c_0_2647,plain,
( c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1821]) ).
cnf(c_0_2648,plain,
( c_lessequals(X4,X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1822]) ).
cnf(c_0_2649,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1823]) ).
cnf(c_0_2650,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1824]) ).
cnf(c_0_2651,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Osemiring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1825]) ).
cnf(c_0_2652,plain,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Osemiring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1826]) ).
cnf(c_0_2653,plain,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Oring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1827]) ).
cnf(c_0_2654,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Oring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1828]) ).
cnf(c_0_2655,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_1829]) ).
cnf(c_0_2656,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_1830]) ).
cnf(c_0_2657,plain,
( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1831]) ).
cnf(c_0_2658,plain,
( c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1832]) ).
cnf(c_0_2659,plain,
( c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1833]) ).
cnf(c_0_2660,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1834]) ).
cnf(c_0_2661,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1835]) ).
cnf(c_0_2662,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_1836]) ).
cnf(c_0_2663,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_1837]) ).
cnf(c_0_2664,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_1838]) ).
cnf(c_0_2665,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1839]) ).
cnf(c_0_2666,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1840]) ).
cnf(c_0_2667,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1841]) ).
cnf(c_0_2668,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1842]) ).
cnf(c_0_2669,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_1843]) ).
cnf(c_0_2670,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_1844]) ).
cnf(c_0_2671,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_1845]) ).
cnf(c_0_2672,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1846]) ).
cnf(c_0_2673,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1847]) ).
cnf(c_0_2674,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1848]) ).
cnf(c_0_2675,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1849]) ).
cnf(c_0_2676,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1850]) ).
cnf(c_0_2677,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1851]) ).
cnf(c_0_2678,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1852]) ).
cnf(c_0_2679,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_1853]) ).
cnf(c_0_2680,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1854]) ).
cnf(c_0_2681,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1855]) ).
cnf(c_0_2682,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1856]) ).
cnf(c_0_2683,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1857]) ).
cnf(c_0_2684,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1858]) ).
cnf(c_0_2685,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1859]) ).
cnf(c_0_2686,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1860]) ).
cnf(c_0_2687,plain,
( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1861]) ).
cnf(c_0_2688,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1862]) ).
cnf(c_0_2689,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1863]) ).
cnf(c_0_2690,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1864]) ).
cnf(c_0_2691,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1865]) ).
cnf(c_0_2692,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1866]) ).
cnf(c_0_2693,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1867]) ).
cnf(c_0_2694,plain,
( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1868]) ).
cnf(c_0_2695,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1869]) ).
cnf(c_0_2696,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Olordered__ring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1870]) ).
cnf(c_0_2697,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1871]) ).
cnf(c_0_2698,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1872]) ).
cnf(c_0_2699,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1873]) ).
cnf(c_0_2700,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ c_lessequals(X3,X5,X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1874]) ).
cnf(c_0_2701,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1875]) ).
cnf(c_0_2702,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1876]) ).
cnf(c_0_2703,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1877]) ).
cnf(c_0_2704,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1878]) ).
cnf(c_0_2705,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1879]) ).
cnf(c_0_2706,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1880]) ).
cnf(c_0_2707,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1881]) ).
cnf(c_0_2708,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1882]) ).
cnf(c_0_2709,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1883]) ).
cnf(c_0_2710,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1884]) ).
cnf(c_0_2711,plain,
( X1 = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1885]) ).
cnf(c_0_2712,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1886]) ).
cnf(c_0_2713,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1887]) ).
cnf(c_0_2714,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1888]) ).
cnf(c_0_2715,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1889]) ).
cnf(c_0_2716,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1890]) ).
cnf(c_0_2717,plain,
( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) = c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1891]) ).
cnf(c_0_2718,plain,
( X2 = c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1892]) ).
cnf(c_0_2719,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1893]) ).
cnf(c_0_2720,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1894]) ).
cnf(c_0_2721,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1895]) ).
cnf(c_0_2722,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1896]) ).
cnf(c_0_2723,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1897]) ).
cnf(c_0_2724,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1898]) ).
cnf(c_0_2725,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1899]) ).
cnf(c_0_2726,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1900]) ).
cnf(c_0_2727,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1901]) ).
cnf(c_0_2728,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1902]) ).
cnf(c_0_2729,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1903]) ).
cnf(c_0_2730,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1904]) ).
cnf(c_0_2731,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1905]) ).
cnf(c_0_2732,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1906]) ).
cnf(c_0_2733,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1907]) ).
cnf(c_0_2734,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1908]) ).
cnf(c_0_2735,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1909]) ).
cnf(c_0_2736,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1910]) ).
cnf(c_0_2737,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1911]) ).
cnf(c_0_2738,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1912]) ).
cnf(c_0_2739,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1913]) ).
cnf(c_0_2740,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1914]) ).
cnf(c_0_2741,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1915]) ).
cnf(c_0_2742,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1916]) ).
cnf(c_0_2743,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1917]) ).
cnf(c_0_2744,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1918]) ).
cnf(c_0_2745,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1919]) ).
cnf(c_0_2746,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1920]) ).
cnf(c_0_2747,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1921]) ).
cnf(c_0_2748,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1922]) ).
cnf(c_0_2749,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1923]) ).
cnf(c_0_2750,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1924]) ).
cnf(c_0_2751,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1925]) ).
cnf(c_0_2752,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1926]) ).
cnf(c_0_2753,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1927]) ).
cnf(c_0_2754,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1928]) ).
cnf(c_0_2755,plain,
( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1929]) ).
cnf(c_0_2756,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1930]) ).
cnf(c_0_2757,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_1931]) ).
cnf(c_0_2758,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_1932]) ).
cnf(c_0_2759,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_1933]) ).
cnf(c_0_2760,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_1934]) ).
cnf(c_0_2761,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_1935]) ).
cnf(c_0_2762,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_1936]) ).
cnf(c_0_2763,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_1937]) ).
cnf(c_0_2764,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_1938]) ).
cnf(c_0_2765,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_1939]) ).
cnf(c_0_2766,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_1940]) ).
cnf(c_0_2767,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_1941]) ).
cnf(c_0_2768,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_1942]) ).
cnf(c_0_2769,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_1943]) ).
cnf(c_0_2770,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_1944]) ).
cnf(c_0_2771,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_1945]) ).
cnf(c_0_2772,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_1946]) ).
cnf(c_0_2773,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_1947]) ).
cnf(c_0_2774,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_1948]) ).
cnf(c_0_2775,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1949]) ).
cnf(c_0_2776,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1950]) ).
cnf(c_0_2777,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1951]) ).
cnf(c_0_2778,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1952]) ).
cnf(c_0_2779,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1953]) ).
cnf(c_0_2780,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1954]) ).
cnf(c_0_2781,plain,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1955]) ).
cnf(c_0_2782,plain,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1956]) ).
cnf(c_0_2783,plain,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1957]) ).
cnf(c_0_2784,plain,
( c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1958]) ).
cnf(c_0_2785,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1959]) ).
cnf(c_0_2786,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1960]) ).
cnf(c_0_2787,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_1961]) ).
cnf(c_0_2788,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1962]) ).
cnf(c_0_2789,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1963]) ).
cnf(c_0_2790,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1964]) ).
cnf(c_0_2791,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1965]) ).
cnf(c_0_2792,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1966]) ).
cnf(c_0_2793,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1967]) ).
cnf(c_0_2794,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1968]) ).
cnf(c_0_2795,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1969]) ).
cnf(c_0_2796,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1970]) ).
cnf(c_0_2797,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1971]) ).
cnf(c_0_2798,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1972]) ).
cnf(c_0_2799,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1973]) ).
cnf(c_0_2800,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1974]) ).
cnf(c_0_2801,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1975]) ).
cnf(c_0_2802,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1976]) ).
cnf(c_0_2803,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1977]) ).
cnf(c_0_2804,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1978]) ).
cnf(c_0_2805,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1979]) ).
cnf(c_0_2806,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1980]) ).
cnf(c_0_2807,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1981]) ).
cnf(c_0_2808,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1982]) ).
cnf(c_0_2809,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1983]) ).
cnf(c_0_2810,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1984]) ).
cnf(c_0_2811,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1985]) ).
cnf(c_0_2812,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1986]) ).
cnf(c_0_2813,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1987]) ).
cnf(c_0_2814,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1988]) ).
cnf(c_0_2815,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1989]) ).
cnf(c_0_2816,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1990]) ).
cnf(c_0_2817,plain,
( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1991]) ).
cnf(c_0_2818,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1992]) ).
cnf(c_0_2819,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1993]) ).
cnf(c_0_2820,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1994]) ).
cnf(c_0_2821,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1995]) ).
cnf(c_0_2822,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1996]) ).
cnf(c_0_2823,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1997]) ).
cnf(c_0_2824,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1998]) ).
cnf(c_0_2825,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1999]) ).
cnf(c_0_2826,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2000]) ).
cnf(c_0_2827,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2001]) ).
cnf(c_0_2828,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2002]) ).
cnf(c_0_2829,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2003]) ).
cnf(c_0_2830,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2004]) ).
cnf(c_0_2831,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2005]) ).
cnf(c_0_2832,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2006]) ).
cnf(c_0_2833,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2007]) ).
cnf(c_0_2834,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2008]) ).
cnf(c_0_2835,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2009]) ).
cnf(c_0_2836,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2010]) ).
cnf(c_0_2837,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2011]) ).
cnf(c_0_2838,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2012]) ).
cnf(c_0_2839,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2013]) ).
cnf(c_0_2840,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2014]) ).
cnf(c_0_2841,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2015]) ).
cnf(c_0_2842,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2016]) ).
cnf(c_0_2843,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2017]) ).
cnf(c_0_2844,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2018]) ).
cnf(c_0_2845,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2019]) ).
cnf(c_0_2846,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2020]) ).
cnf(c_0_2847,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2021]) ).
cnf(c_0_2848,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2022]) ).
cnf(c_0_2849,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2023]) ).
cnf(c_0_2850,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2024]) ).
cnf(c_0_2851,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2025]) ).
cnf(c_0_2852,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2026]) ).
cnf(c_0_2853,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2027]) ).
cnf(c_0_2854,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2028]) ).
cnf(c_0_2855,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2029]) ).
cnf(c_0_2856,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2030]) ).
cnf(c_0_2857,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2031]) ).
cnf(c_0_2858,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2032]) ).
cnf(c_0_2859,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2033]) ).
cnf(c_0_2860,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2034]) ).
cnf(c_0_2861,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2035]) ).
cnf(c_0_2862,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2036]) ).
cnf(c_0_2863,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2037]) ).
cnf(c_0_2864,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2038]) ).
cnf(c_0_2865,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2039]) ).
cnf(c_0_2866,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2040]) ).
cnf(c_0_2867,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2041]) ).
cnf(c_0_2868,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2042]) ).
cnf(c_0_2869,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2043]) ).
cnf(c_0_2870,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2044]) ).
cnf(c_0_2871,plain,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2045]) ).
cnf(c_0_2872,plain,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2046]) ).
cnf(c_0_2873,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2047]) ).
cnf(c_0_2874,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2048]) ).
cnf(c_0_2875,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2049]) ).
cnf(c_0_2876,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2050]) ).
cnf(c_0_2877,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2051]) ).
cnf(c_0_2878,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2052]) ).
cnf(c_0_2879,plain,
( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2053]) ).
cnf(c_0_2880,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2054]) ).
cnf(c_0_2881,plain,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2055]) ).
cnf(c_0_2882,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2056]) ).
cnf(c_0_2883,plain,
( c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) = c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2057]) ).
cnf(c_0_2884,plain,
( c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)) = c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2058]) ).
cnf(c_0_2885,plain,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2059]) ).
cnf(c_0_2886,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2060]) ).
cnf(c_0_2887,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_2061]) ).
cnf(c_0_2888,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_2062]) ).
cnf(c_0_2889,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_2063]) ).
cnf(c_0_2890,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_2064]) ).
cnf(c_0_2891,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_2065]) ).
cnf(c_0_2892,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2066]) ).
cnf(c_0_2893,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2067]) ).
cnf(c_0_2894,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2068]) ).
cnf(c_0_2895,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2069]) ).
cnf(c_0_2896,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2070]) ).
cnf(c_0_2897,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_2071]) ).
cnf(c_0_2898,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2072]) ).
cnf(c_0_2899,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2073]) ).
cnf(c_0_2900,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2074]) ).
cnf(c_0_2901,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2075]) ).
cnf(c_0_2902,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2076]) ).
cnf(c_0_2903,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2077]) ).
cnf(c_0_2904,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2078]) ).
cnf(c_0_2905,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_2079]) ).
cnf(c_0_2906,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_2080]) ).
cnf(c_0_2907,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_2081]) ).
cnf(c_0_2908,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_2082]) ).
cnf(c_0_2909,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_2083]) ).
cnf(c_0_2910,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_2084]) ).
cnf(c_0_2911,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_2085]) ).
cnf(c_0_2912,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_2086]) ).
cnf(c_0_2913,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_2087]) ).
cnf(c_0_2914,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_2088]) ).
cnf(c_0_2915,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_2089]) ).
cnf(c_0_2916,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_2090]) ).
cnf(c_0_2917,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_2091]) ).
cnf(c_0_2918,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_2092]) ).
cnf(c_0_2919,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_2093]) ).
cnf(c_0_2920,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_2094]) ).
cnf(c_0_2921,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2095]) ).
cnf(c_0_2922,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2096]) ).
cnf(c_0_2923,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2097]) ).
cnf(c_0_2924,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2098]) ).
cnf(c_0_2925,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2099]) ).
cnf(c_0_2926,plain,
( c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2100]) ).
cnf(c_0_2927,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2101]) ).
cnf(c_0_2928,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2102]) ).
cnf(c_0_2929,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2103]) ).
cnf(c_0_2930,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2104]) ).
cnf(c_0_2931,plain,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2105]) ).
cnf(c_0_2932,plain,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2106]) ).
cnf(c_0_2933,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2107]) ).
cnf(c_0_2934,plain,
( c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2108]) ).
cnf(c_0_2935,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2109]) ).
cnf(c_0_2936,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2110]) ).
cnf(c_0_2937,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2111]) ).
cnf(c_0_2938,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2112]) ).
cnf(c_0_2939,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2113]) ).
cnf(c_0_2940,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2114]) ).
cnf(c_0_2941,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2115]) ).
cnf(c_0_2942,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2116]) ).
cnf(c_0_2943,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2117]) ).
cnf(c_0_2944,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_2118]) ).
cnf(c_0_2945,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_2119]) ).
cnf(c_0_2946,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2120]) ).
cnf(c_0_2947,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2121]) ).
cnf(c_0_2948,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2122]) ).
cnf(c_0_2949,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2123]) ).
cnf(c_0_2950,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2124]) ).
cnf(c_0_2951,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2125]) ).
cnf(c_0_2952,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2126]) ).
cnf(c_0_2953,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2127]) ).
cnf(c_0_2954,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2128]) ).
cnf(c_0_2955,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X3 = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2129]) ).
cnf(c_0_2956,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| X3 = c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2130]) ).
cnf(c_0_2957,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2131]) ).
cnf(c_0_2958,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2132]) ).
cnf(c_0_2959,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2133]) ).
cnf(c_0_2960,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2134]) ).
cnf(c_0_2961,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2135]) ).
cnf(c_0_2962,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2136]) ).
cnf(c_0_2963,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber__ring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2137]) ).
cnf(c_0_2964,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X2) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber__ring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2138]) ).
cnf(c_0_2965,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_2139]) ).
cnf(c_0_2966,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2140]) ).
cnf(c_0_2967,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2141]) ).
cnf(c_0_2968,plain,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2142]) ).
cnf(c_0_2969,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2143]) ).
cnf(c_0_2970,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2144]) ).
cnf(c_0_2971,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2145]) ).
cnf(c_0_2972,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2146]) ).
cnf(c_0_2973,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2147]) ).
cnf(c_0_2974,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2148]) ).
cnf(c_0_2975,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2149]) ).
cnf(c_0_2976,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2150]) ).
cnf(c_0_2977,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2151]) ).
cnf(c_0_2978,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2152]) ).
cnf(c_0_2979,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2153]) ).
cnf(c_0_2980,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2154]) ).
cnf(c_0_2981,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2155]) ).
cnf(c_0_2982,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X2,X3),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2156]) ).
cnf(c_0_2983,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_2157]) ).
cnf(c_0_2984,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2158]) ).
cnf(c_0_2985,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_2159]) ).
cnf(c_0_2986,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2160]) ).
cnf(c_0_2987,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_2161]) ).
cnf(c_0_2988,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2162]) ).
cnf(c_0_2989,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_2163]) ).
cnf(c_0_2990,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X2),X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2164]) ).
cnf(c_0_2991,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2) = c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__field(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2165]) ).
cnf(c_0_2992,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2166]) ).
cnf(c_0_2993,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2167]) ).
cnf(c_0_2994,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2168]) ).
cnf(c_0_2995,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2169]) ).
cnf(c_0_2996,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2170]) ).
cnf(c_0_2997,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2171]) ).
cnf(c_0_2998,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2172]) ).
cnf(c_0_2999,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2173]) ).
cnf(c_0_3000,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_2174]) ).
cnf(c_0_3001,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_2175]) ).
cnf(c_0_3002,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_2176]) ).
cnf(c_0_3003,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_2177]) ).
cnf(c_0_3004,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2178]) ).
cnf(c_0_3005,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2179]) ).
cnf(c_0_3006,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2180]) ).
cnf(c_0_3007,plain,
( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2181]) ).
cnf(c_0_3008,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2182]) ).
cnf(c_0_3009,plain,
( c_HOL_Oord__class_Oless(X3,X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2183]) ).
cnf(c_0_3010,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2184]) ).
cnf(c_0_3011,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_2185]) ).
cnf(c_0_3012,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_2186]) ).
cnf(c_0_3013,plain,
( c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2187]) ).
cnf(c_0_3014,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2) = X4
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Oinverse__class_Odivide(X4,X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2188]) ).
cnf(c_0_3015,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| X3 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X2),X1,X2)
| c_HOL_Oinverse__class_Odivide(X3,X1,X2) != c_Int_Onumber__class_Onumber__of(X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2189]) ).
cnf(c_0_3016,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_2190]) ).
cnf(c_0_3017,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2191]) ).
cnf(c_0_3018,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2192]) ).
cnf(c_0_3019,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2193]) ).
cnf(c_0_3020,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2194]) ).
cnf(c_0_3021,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2195]) ).
cnf(c_0_3022,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2196]) ).
cnf(c_0_3023,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2197]) ).
cnf(c_0_3024,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2198]) ).
cnf(c_0_3025,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2199]) ).
cnf(c_0_3026,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2200]) ).
cnf(c_0_3027,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_2201]) ).
cnf(c_0_3028,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_2202]) ).
cnf(c_0_3029,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_2203]) ).
cnf(c_0_3030,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_2204]) ).
cnf(c_0_3031,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_2205]) ).
cnf(c_0_3032,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_2206]) ).
cnf(c_0_3033,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_2207]) ).
cnf(c_0_3034,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_2208]) ).
cnf(c_0_3035,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_2209]) ).
cnf(c_0_3036,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2210]) ).
cnf(c_0_3037,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2211]) ).
cnf(c_0_3038,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2212]) ).
cnf(c_0_3039,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2213]) ).
cnf(c_0_3040,plain,
( c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2214]) ).
cnf(c_0_3041,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2215]) ).
cnf(c_0_3042,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2216]) ).
cnf(c_0_3043,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2217]) ).
cnf(c_0_3044,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2218]) ).
cnf(c_0_3045,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_2219]) ).
cnf(c_0_3046,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_2220]) ).
cnf(c_0_3047,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_2221]) ).
cnf(c_0_3048,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2222]) ).
cnf(c_0_3049,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2223]) ).
cnf(c_0_3050,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2224]) ).
cnf(c_0_3051,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2225]) ).
cnf(c_0_3052,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2226]) ).
cnf(c_0_3053,plain,
( X1 = X2
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2227]) ).
cnf(c_0_3054,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_2228]) ).
cnf(c_0_3055,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_2229]) ).
cnf(c_0_3056,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2230]) ).
cnf(c_0_3057,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2231]) ).
cnf(c_0_3058,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2232]) ).
cnf(c_0_3059,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2233]) ).
cnf(c_0_3060,plain,
( c_lessequals(X1,X3,X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2234]) ).
cnf(c_0_3061,plain,
( c_HOL_Oord__class_Oless(X1,X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2235]) ).
cnf(c_0_3062,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_2236]) ).
cnf(c_0_3063,plain,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2237]) ).
cnf(c_0_3064,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2238]) ).
cnf(c_0_3065,plain,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2239]) ).
cnf(c_0_3066,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2240]) ).
cnf(c_0_3067,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2241]) ).
cnf(c_0_3068,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_2242]) ).
cnf(c_0_3069,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_2243]) ).
cnf(c_0_3070,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_2244]) ).
cnf(c_0_3071,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_2245]) ).
cnf(c_0_3072,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_2246]) ).
cnf(c_0_3073,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2247]) ).
cnf(c_0_3074,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2248]) ).
cnf(c_0_3075,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2249]) ).
cnf(c_0_3076,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)
| ~ class_Ring__and__Field_Oordered__semidom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2250]) ).
cnf(c_0_3077,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_2251]) ).
cnf(c_0_3078,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_2252]) ).
cnf(c_0_3079,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_2253]) ).
cnf(c_0_3080,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_2254]) ).
cnf(c_0_3081,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_2255]) ).
cnf(c_0_3082,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2256]) ).
cnf(c_0_3083,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ c_lessequals(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2257]) ).
cnf(c_0_3084,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2258]) ).
cnf(c_0_3085,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2259]) ).
cnf(c_0_3086,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2260]) ).
cnf(c_0_3087,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2261]) ).
cnf(c_0_3088,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2262]) ).
cnf(c_0_3089,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2263]) ).
cnf(c_0_3090,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_2264]) ).
cnf(c_0_3091,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2265]) ).
cnf(c_0_3092,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_2266]) ).
cnf(c_0_3093,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_2267]) ).
cnf(c_0_3094,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_2268]) ).
cnf(c_0_3095,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2269]) ).
cnf(c_0_3096,plain,
( X1 = X2
| X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2270]) ).
cnf(c_0_3097,plain,
( X1 = X2
| X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2271]) ).
cnf(c_0_3098,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2272]) ).
cnf(c_0_3099,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_2273]) ).
cnf(c_0_3100,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_2274]) ).
cnf(c_0_3101,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_2275]) ).
cnf(c_0_3102,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_2276]) ).
cnf(c_0_3103,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_2277]) ).
cnf(c_0_3104,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_2278]) ).
cnf(c_0_3105,plain,
( c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X2),X2) = c_HOL_Oplus__class_Oplus(X1,X1,X2)
| ~ class_Int_Onumber__ring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2279]) ).
cnf(c_0_3106,plain,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X2,X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2280]) ).
cnf(c_0_3107,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2281]) ).
cnf(c_0_3108,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2282]) ).
cnf(c_0_3109,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2283]) ).
cnf(c_0_3110,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2284]) ).
cnf(c_0_3111,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2285]) ).
cnf(c_0_3112,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2286]) ).
cnf(c_0_3113,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2287]) ).
cnf(c_0_3114,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2288]) ).
cnf(c_0_3115,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2289]) ).
cnf(c_0_3116,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2290]) ).
cnf(c_0_3117,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2291]) ).
cnf(c_0_3118,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2292]) ).
cnf(c_0_3119,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2293]) ).
cnf(c_0_3120,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2294]) ).
cnf(c_0_3121,plain,
( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2295]) ).
cnf(c_0_3122,plain,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2296]) ).
cnf(c_0_3123,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2297]) ).
cnf(c_0_3124,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2298]) ).
cnf(c_0_3125,plain,
( X2 = X1
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2299]) ).
cnf(c_0_3126,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2300]) ).
cnf(c_0_3127,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2301]) ).
cnf(c_0_3128,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2302]) ).
cnf(c_0_3129,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2303]) ).
cnf(c_0_3130,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2304]) ).
cnf(c_0_3131,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2305]) ).
cnf(c_0_3132,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2306]) ).
cnf(c_0_3133,plain,
( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2307]) ).
cnf(c_0_3134,plain,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2308]) ).
cnf(c_0_3135,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2309]) ).
cnf(c_0_3136,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2310]) ).
cnf(c_0_3137,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2311]) ).
cnf(c_0_3138,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2312]) ).
cnf(c_0_3139,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2313]) ).
cnf(c_0_3140,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2314]) ).
cnf(c_0_3141,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_2315]) ).
cnf(c_0_3142,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_2316]) ).
cnf(c_0_3143,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_2317]) ).
cnf(c_0_3144,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_2318]) ).
cnf(c_0_3145,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_2319]) ).
cnf(c_0_3146,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2320]) ).
cnf(c_0_3147,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2321]) ).
cnf(c_0_3148,plain,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2322]) ).
cnf(c_0_3149,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2323]) ).
cnf(c_0_3150,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2324]) ).
cnf(c_0_3151,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3)
| c_Int_Onumber__class_Onumber__of(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2325]) ).
cnf(c_0_3152,plain,
( c_HOL_Ozero__class_Ozero(X1) = c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2326]) ).
cnf(c_0_3153,plain,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2327]) ).
cnf(c_0_3154,plain,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2328]) ).
cnf(c_0_3155,plain,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oabs__if(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2329]) ).
cnf(c_0_3156,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2330]) ).
cnf(c_0_3157,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2331]) ).
cnf(c_0_3158,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2332]) ).
cnf(c_0_3159,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2333]) ).
cnf(c_0_3160,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2334]) ).
cnf(c_0_3161,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X2 = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2335]) ).
cnf(c_0_3162,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2336]) ).
cnf(c_0_3163,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2337]) ).
cnf(c_0_3164,plain,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2338]) ).
cnf(c_0_3165,plain,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2339]) ).
cnf(c_0_3166,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2340]) ).
cnf(c_0_3167,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2341]) ).
cnf(c_0_3168,plain,
( c_lessequals(X1,X1,X2)
| c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2342]) ).
cnf(c_0_3169,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2343]) ).
cnf(c_0_3170,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2344]) ).
cnf(c_0_3171,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_2345]) ).
cnf(c_0_3172,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_2346]) ).
cnf(c_0_3173,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_2347]) ).
cnf(c_0_3174,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_2348]) ).
cnf(c_0_3175,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_2349]) ).
cnf(c_0_3176,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_2350]) ).
cnf(c_0_3177,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_2351]) ).
cnf(c_0_3178,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_2352]) ).
cnf(c_0_3179,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2353]) ).
cnf(c_0_3180,plain,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2354]) ).
cnf(c_0_3181,plain,
( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2355]) ).
cnf(c_0_3182,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2356]) ).
cnf(c_0_3183,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_2357]) ).
cnf(c_0_3184,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_2358]) ).
cnf(c_0_3185,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_2359]) ).
cnf(c_0_3186,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_2360]) ).
cnf(c_0_3187,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_2361]) ).
cnf(c_0_3188,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_2362]) ).
cnf(c_0_3189,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2363]) ).
cnf(c_0_3190,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2364]) ).
cnf(c_0_3191,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_2365]) ).
cnf(c_0_3192,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2366]) ).
cnf(c_0_3193,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2367]) ).
cnf(c_0_3194,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2368]) ).
cnf(c_0_3195,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2369]) ).
cnf(c_0_3196,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2370]) ).
cnf(c_0_3197,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_2371]) ).
cnf(c_0_3198,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_2372]) ).
cnf(c_0_3199,plain,
( X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2373]) ).
cnf(c_0_3200,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2374]) ).
cnf(c_0_3201,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2375]) ).
cnf(c_0_3202,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2376]) ).
cnf(c_0_3203,plain,
( c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Int_Onumber__ring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2377]) ).
cnf(c_0_3204,plain,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2378]) ).
cnf(c_0_3205,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2379]) ).
cnf(c_0_3206,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2380]) ).
cnf(c_0_3207,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2381]) ).
cnf(c_0_3208,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2382]) ).
cnf(c_0_3209,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2383]) ).
cnf(c_0_3210,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_2384]) ).
cnf(c_0_3211,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_2385]) ).
cnf(c_0_3212,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_2386]) ).
cnf(c_0_3213,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_2387]) ).
cnf(c_0_3214,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = X1
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2388]) ).
cnf(c_0_3215,plain,
( c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Int_Onumber__ring(X2)
| ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2389]) ).
cnf(c_0_3216,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2390]) ).
cnf(c_0_3217,plain,
( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2391]) ).
cnf(c_0_3218,plain,
( c_HOL_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X2),X2) = X1
| ~ class_Int_Onumber__ring(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2392]) ).
cnf(c_0_3219,plain,
( c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2393]) ).
cnf(c_0_3220,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_2394]) ).
cnf(c_0_3221,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = X1
| ~ class_Ring__and__Field_Oabs__if(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2395]) ).
cnf(c_0_3222,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_2396]) ).
cnf(c_0_3223,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_2397]) ).
cnf(c_0_3224,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_2398]) ).
cnf(c_0_3225,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_2399]) ).
cnf(c_0_3226,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_2400]) ).
cnf(c_0_3227,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_2401]) ).
cnf(c_0_3228,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_2402]) ).
cnf(c_0_3229,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2403]) ).
cnf(c_0_3230,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2404]) ).
cnf(c_0_3231,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_2405]) ).
cnf(c_0_3232,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_2406]) ).
cnf(c_0_3233,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_2407]) ).
cnf(c_0_3234,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_2408]) ).
cnf(c_0_3235,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_2409]) ).
cnf(c_0_3236,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_2410]) ).
cnf(c_0_3237,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_2411]) ).
cnf(c_0_3238,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_2412]) ).
cnf(c_0_3239,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_2413]) ).
cnf(c_0_3240,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_2414]) ).
cnf(c_0_3241,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_2415]) ).
cnf(c_0_3242,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_2416]) ).
cnf(c_0_3243,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_2417]) ).
cnf(c_0_3244,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_2418]) ).
cnf(c_0_3245,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_2419]) ).
cnf(c_0_3246,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_2420]) ).
cnf(c_0_3247,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
inference(split_conjunct,[status(thm)],[c_0_2421]) ).
cnf(c_0_3248,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_2422]) ).
cnf(c_0_3249,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_2423]) ).
cnf(c_0_3250,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_2424]) ).
cnf(c_0_3251,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_2425]) ).
cnf(c_0_3252,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_2426]) ).
cnf(c_0_3253,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_2427]) ).
cnf(c_0_3254,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_2428]) ).
cnf(c_0_3255,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_2429]) ).
cnf(c_0_3256,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_2430]) ).
cnf(c_0_3257,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_2431]) ).
cnf(c_0_3258,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_2432]) ).
cnf(c_0_3259,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_2433]) ).
cnf(c_0_3260,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_2434]) ).
cnf(c_0_3261,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_2435]) ).
cnf(c_0_3262,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_2436]) ).
cnf(c_0_3263,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_2437]) ).
cnf(c_0_3264,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_2438]) ).
cnf(c_0_3265,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_2439]) ).
cnf(c_0_3266,plain,
( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2440]) ).
cnf(c_0_3267,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2441]) ).
cnf(c_0_3268,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2442]) ).
cnf(c_0_3269,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_2443]) ).
cnf(c_0_3270,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_2444]) ).
cnf(c_0_3271,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2445]) ).
cnf(c_0_3272,plain,
( X1 = X2
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| ~ class_Int_Onumber__ring(X3)
| ~ class_Int_Oring__char__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2446]) ).
cnf(c_0_3273,plain,
( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2447]) ).
cnf(c_0_3274,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_2448]) ).
cnf(c_0_3275,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_2449]) ).
cnf(c_0_3276,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_2450]) ).
cnf(c_0_3277,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_2451]) ).
cnf(c_0_3278,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_2452]) ).
cnf(c_0_3279,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_2453]) ).
cnf(c_0_3280,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_2454]) ).
cnf(c_0_3281,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_2455]) ).
cnf(c_0_3282,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_2456]) ).
cnf(c_0_3283,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_2457]) ).
cnf(c_0_3284,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2458]) ).
cnf(c_0_3285,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_2459]) ).
cnf(c_0_3286,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_2460]) ).
cnf(c_0_3287,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_2461]) ).
cnf(c_0_3288,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_2462]) ).
cnf(c_0_3289,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_2463]) ).
cnf(c_0_3290,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_2464]) ).
cnf(c_0_3291,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2465]) ).
cnf(c_0_3292,plain,
( c_HOL_Oone__class_Oone(X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2466]) ).
cnf(c_0_3293,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2467]) ).
cnf(c_0_3294,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2468]) ).
cnf(c_0_3295,plain,
( c_HOL_Ozero__class_Ozero(X1) = c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2469]) ).
cnf(c_0_3296,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_2470]) ).
cnf(c_0_3297,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_2471]) ).
cnf(c_0_3298,plain,
( X1 = X2
| c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2472]) ).
cnf(c_0_3299,plain,
( X1 = X2
| c_Int_OBit0(X1) != c_Int_OBit0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2473]) ).
cnf(c_0_3300,plain,
( X1 = X2
| c_Int_OBit1(X1) != c_Int_OBit1(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2474]) ).
cnf(c_0_3301,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2475]) ).
cnf(c_0_3302,plain,
( X1 = c_Int_OPls
| c_Int_OBit0(X1) != c_Int_OPls ),
inference(split_conjunct,[status(thm)],[c_0_2476]) ).
cnf(c_0_3303,plain,
( c_Int_OPls = X1
| c_Int_OPls != c_Int_OBit0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2477]) ).
cnf(c_0_3304,plain,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2478,
[final] ).
cnf(c_0_3305,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
c_0_2479,
[final] ).
cnf(c_0_3306,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_2480,
[final] ).
cnf(c_0_3307,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
c_0_2481,
[final] ).
cnf(c_0_3308,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_2482,
[final] ).
cnf(c_0_3309,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_2483,
[final] ).
cnf(c_0_3310,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_2484,
[final] ).
cnf(c_0_3311,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X4,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X4,X3),tc_RealDef_Oreal) ),
c_0_2485,
[final] ).
cnf(c_0_3312,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
c_0_2486,
[final] ).
cnf(c_0_3313,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
c_0_2487,
[final] ).
cnf(c_0_3314,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_2488,
[final] ).
cnf(c_0_3315,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
c_0_2489,
[final] ).
cnf(c_0_3316,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
c_0_2490,
[final] ).
cnf(c_0_3317,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
c_0_2491,
[final] ).
cnf(c_0_3318,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
c_0_2492,
[final] ).
cnf(c_0_3319,plain,
( c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
c_0_2493,
[final] ).
cnf(c_0_3320,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
c_0_2494,
[final] ).
cnf(c_0_3321,plain,
( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
c_0_2495,
[final] ).
cnf(c_0_3322,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
c_0_2496,
[final] ).
cnf(c_0_3323,plain,
( c_lessequals(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2497,
[final] ).
cnf(c_0_3324,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2498,
[final] ).
cnf(c_0_3325,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2499,
[final] ).
cnf(c_0_3326,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2500,
[final] ).
cnf(c_0_3327,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
c_0_2501,
[final] ).
cnf(c_0_3328,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2502,
[final] ).
cnf(c_0_3329,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_2503,
[final] ).
cnf(c_0_3330,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_2504,
[final] ).
cnf(c_0_3331,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2505,
[final] ).
cnf(c_0_3332,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2506,
[final] ).
cnf(c_0_3333,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2507,
[final] ).
cnf(c_0_3334,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2508,
[final] ).
cnf(c_0_3335,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2509,
[final] ).
cnf(c_0_3336,plain,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2510,
[final] ).
cnf(c_0_3337,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2511,
[final] ).
cnf(c_0_3338,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2512,
[final] ).
cnf(c_0_3339,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2513,
[final] ).
cnf(c_0_3340,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2514,
[final] ).
cnf(c_0_3341,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2515,
[final] ).
cnf(c_0_3342,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2516,
[final] ).
cnf(c_0_3343,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_2517,
[final] ).
cnf(c_0_3344,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_2518,
[final] ).
cnf(c_0_3345,plain,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2519,
[final] ).
cnf(c_0_3346,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2520,
[final] ).
cnf(c_0_3347,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2521,
[final] ).
cnf(c_0_3348,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2522,
[final] ).
cnf(c_0_3349,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2523,
[final] ).
cnf(c_0_3350,plain,
( X3 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2524,
[final] ).
cnf(c_0_3351,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2525,
[final] ).
cnf(c_0_3352,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2526,
[final] ).
cnf(c_0_3353,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_2527,
[final] ).
cnf(c_0_3354,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_2528,
[final] ).
cnf(c_0_3355,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_2529,
[final] ).
cnf(c_0_3356,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_2530,
[final] ).
cnf(c_0_3357,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_2531,
[final] ).
cnf(c_0_3358,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_2532,
[final] ).
cnf(c_0_3359,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2533,
[final] ).
cnf(c_0_3360,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2534,
[final] ).
cnf(c_0_3361,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2535,
[final] ).
cnf(c_0_3362,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2536,
[final] ).
cnf(c_0_3363,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2537,
[final] ).
cnf(c_0_3364,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2538,
[final] ).
cnf(c_0_3365,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2539,
[final] ).
cnf(c_0_3366,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2540,
[final] ).
cnf(c_0_3367,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2541,
[final] ).
cnf(c_0_3368,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2542,
[final] ).
cnf(c_0_3369,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2543,
[final] ).
cnf(c_0_3370,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2544,
[final] ).
cnf(c_0_3371,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2545,
[final] ).
cnf(c_0_3372,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2546,
[final] ).
cnf(c_0_3373,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2547,
[final] ).
cnf(c_0_3374,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2548,
[final] ).
cnf(c_0_3375,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2549,
[final] ).
cnf(c_0_3376,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2550,
[final] ).
cnf(c_0_3377,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2551,
[final] ).
cnf(c_0_3378,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2552,
[final] ).
cnf(c_0_3379,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2553,
[final] ).
cnf(c_0_3380,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2554,
[final] ).
cnf(c_0_3381,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2555,
[final] ).
cnf(c_0_3382,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2556,
[final] ).
cnf(c_0_3383,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_2557,
[final] ).
cnf(c_0_3384,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2558,
[final] ).
cnf(c_0_3385,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2559,
[final] ).
cnf(c_0_3386,plain,
( c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2560,
[final] ).
cnf(c_0_3387,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2561,
[final] ).
cnf(c_0_3388,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2562,
[final] ).
cnf(c_0_3389,plain,
( c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2563,
[final] ).
cnf(c_0_3390,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2564,
[final] ).
cnf(c_0_3391,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2565,
[final] ).
cnf(c_0_3392,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_2566,
[final] ).
cnf(c_0_3393,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2567,
[final] ).
cnf(c_0_3394,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2568,
[final] ).
cnf(c_0_3395,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2569,
[final] ).
cnf(c_0_3396,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2570,
[final] ).
cnf(c_0_3397,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2571,
[final] ).
cnf(c_0_3398,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2572,
[final] ).
cnf(c_0_3399,plain,
( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2573,
[final] ).
cnf(c_0_3400,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2574,
[final] ).
cnf(c_0_3401,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2575,
[final] ).
cnf(c_0_3402,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2576,
[final] ).
cnf(c_0_3403,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2577,
[final] ).
cnf(c_0_3404,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2578,
[final] ).
cnf(c_0_3405,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2579,
[final] ).
cnf(c_0_3406,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2580,
[final] ).
cnf(c_0_3407,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2581,
[final] ).
cnf(c_0_3408,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2582,
[final] ).
cnf(c_0_3409,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2583,
[final] ).
cnf(c_0_3410,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2584,
[final] ).
cnf(c_0_3411,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2585,
[final] ).
cnf(c_0_3412,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2586,
[final] ).
cnf(c_0_3413,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2587,
[final] ).
cnf(c_0_3414,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2588,
[final] ).
cnf(c_0_3415,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2589,
[final] ).
cnf(c_0_3416,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X2) ),
c_0_2590,
[final] ).
cnf(c_0_3417,plain,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_2591,
[final] ).
cnf(c_0_3418,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_2592,
[final] ).
cnf(c_0_3419,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_2593,
[final] ).
cnf(c_0_3420,plain,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2594,
[final] ).
cnf(c_0_3421,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2595,
[final] ).
cnf(c_0_3422,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2596,
[final] ).
cnf(c_0_3423,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2597,
[final] ).
cnf(c_0_3424,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
c_0_2598,
[final] ).
cnf(c_0_3425,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
c_0_2599,
[final] ).
cnf(c_0_3426,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2600,
[final] ).
cnf(c_0_3427,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2601,
[final] ).
cnf(c_0_3428,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2602,
[final] ).
cnf(c_0_3429,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2603,
[final] ).
cnf(c_0_3430,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2604,
[final] ).
cnf(c_0_3431,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2605,
[final] ).
cnf(c_0_3432,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2606,
[final] ).
cnf(c_0_3433,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_2607,
[final] ).
cnf(c_0_3434,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_2608,
[final] ).
cnf(c_0_3435,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_2609,
[final] ).
cnf(c_0_3436,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2610,
[final] ).
cnf(c_0_3437,plain,
( c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2611,
[final] ).
cnf(c_0_3438,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2612,
[final] ).
cnf(c_0_3439,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2613,
[final] ).
cnf(c_0_3440,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2614,
[final] ).
cnf(c_0_3441,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2615,
[final] ).
cnf(c_0_3442,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2616,
[final] ).
cnf(c_0_3443,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2617,
[final] ).
cnf(c_0_3444,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2618,
[final] ).
cnf(c_0_3445,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2619,
[final] ).
cnf(c_0_3446,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2620,
[final] ).
cnf(c_0_3447,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2621,
[final] ).
cnf(c_0_3448,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2622,
[final] ).
cnf(c_0_3449,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2623,
[final] ).
cnf(c_0_3450,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2624,
[final] ).
cnf(c_0_3451,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2625,
[final] ).
cnf(c_0_3452,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2626,
[final] ).
cnf(c_0_3453,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2627,
[final] ).
cnf(c_0_3454,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2628,
[final] ).
cnf(c_0_3455,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2629,
[final] ).
cnf(c_0_3456,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2630,
[final] ).
cnf(c_0_3457,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2631,
[final] ).
cnf(c_0_3458,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2632,
[final] ).
cnf(c_0_3459,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2633,
[final] ).
cnf(c_0_3460,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2634,
[final] ).
cnf(c_0_3461,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2635,
[final] ).
cnf(c_0_3462,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2636,
[final] ).
cnf(c_0_3463,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2637,
[final] ).
cnf(c_0_3464,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2638,
[final] ).
cnf(c_0_3465,plain,
( c_HOL_Oord__class_Oless(X4,X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2639,
[final] ).
cnf(c_0_3466,plain,
( c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2640,
[final] ).
cnf(c_0_3467,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2641,
[final] ).
cnf(c_0_3468,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2642,
[final] ).
cnf(c_0_3469,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
c_0_2643,
[final] ).
cnf(c_0_3470,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
c_0_2644,
[final] ).
cnf(c_0_3471,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2645,
[final] ).
cnf(c_0_3472,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2646,
[final] ).
cnf(c_0_3473,plain,
( c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2647,
[final] ).
cnf(c_0_3474,plain,
( c_lessequals(X4,X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2648,
[final] ).
cnf(c_0_3475,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2649,
[final] ).
cnf(c_0_3476,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2650,
[final] ).
cnf(c_0_3477,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Osemiring(X3) ),
c_0_2651,
[final] ).
cnf(c_0_3478,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Osemiring(X2) ),
c_0_2652,
[final] ).
cnf(c_0_3479,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Oring(X2) ),
c_0_2653,
[final] ).
cnf(c_0_3480,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Oring(X3) ),
c_0_2654,
[final] ).
cnf(c_0_3481,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_2655,
[final] ).
cnf(c_0_3482,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_2656,
[final] ).
cnf(c_0_3483,plain,
( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2657,
[final] ).
cnf(c_0_3484,plain,
( c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2658,
[final] ).
cnf(c_0_3485,plain,
( c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2659,
[final] ).
cnf(c_0_3486,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2660,
[final] ).
cnf(c_0_3487,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2661,
[final] ).
cnf(c_0_3488,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_2662,
[final] ).
cnf(c_0_3489,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_2663,
[final] ).
cnf(c_0_3490,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
c_0_2664,
[final] ).
cnf(c_0_3491,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2665,
[final] ).
cnf(c_0_3492,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2666,
[final] ).
cnf(c_0_3493,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2667,
[final] ).
cnf(c_0_3494,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2668,
[final] ).
cnf(c_0_3495,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_2669,
[final] ).
cnf(c_0_3496,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_2670,
[final] ).
cnf(c_0_3497,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_2671,
[final] ).
cnf(c_0_3498,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_2672,
[final] ).
cnf(c_0_3499,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_2673,
[final] ).
cnf(c_0_3500,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2674,
[final] ).
cnf(c_0_3501,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2675,
[final] ).
cnf(c_0_3502,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2676,
[final] ).
cnf(c_0_3503,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2677,
[final] ).
cnf(c_0_3504,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2678,
[final] ).
cnf(c_0_3505,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_2679,
[final] ).
cnf(c_0_3506,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2680,
[final] ).
cnf(c_0_3507,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2681,
[final] ).
cnf(c_0_3508,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2682,
[final] ).
cnf(c_0_3509,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2683,
[final] ).
cnf(c_0_3510,plain,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2684,
[final] ).
cnf(c_0_3511,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2685,
[final] ).
cnf(c_0_3512,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2686,
[final] ).
cnf(c_0_3513,plain,
( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2687,
[final] ).
cnf(c_0_3514,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2688,
[final] ).
cnf(c_0_3515,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2689,
[final] ).
cnf(c_0_3516,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2690,
[final] ).
cnf(c_0_3517,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2691,
[final] ).
cnf(c_0_3518,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2692,
[final] ).
cnf(c_0_3519,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2693,
[final] ).
cnf(c_0_3520,plain,
( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2694,
[final] ).
cnf(c_0_3521,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2695,
[final] ).
cnf(c_0_3522,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Olordered__ring(X3) ),
c_0_2696,
[final] ).
cnf(c_0_3523,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
c_0_2697,
[final] ).
cnf(c_0_3524,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_2698,
[final] ).
cnf(c_0_3525,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
c_0_2699,
[final] ).
cnf(c_0_3526,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ c_lessequals(X3,X5,X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
c_0_2700,
[final] ).
cnf(c_0_3527,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
c_0_2701,
[final] ).
cnf(c_0_3528,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X3) ),
c_0_2702,
[final] ).
cnf(c_0_3529,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_2703,
[final] ).
cnf(c_0_3530,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
c_0_2704,
[final] ).
cnf(c_0_3531,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_2705,
[final] ).
cnf(c_0_3532,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2706,
[final] ).
cnf(c_0_3533,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2707,
[final] ).
cnf(c_0_3534,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2708,
[final] ).
cnf(c_0_3535,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2709,
[final] ).
cnf(c_0_3536,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2710,
[final] ).
cnf(c_0_3537,plain,
( X1 = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal) ),
c_0_2711,
[final] ).
cnf(c_0_3538,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2712,
[final] ).
cnf(c_0_3539,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2713,
[final] ).
cnf(c_0_3540,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2714,
[final] ).
cnf(c_0_3541,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2715,
[final] ).
cnf(c_0_3542,plain,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
c_0_2716,
[final] ).
cnf(c_0_3543,plain,
( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
c_0_2717,
[final] ).
cnf(c_0_3544,plain,
( X2 = c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
c_0_2718,
[final] ).
cnf(c_0_3545,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2719,
[final] ).
cnf(c_0_3546,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2720,
[final] ).
cnf(c_0_3547,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2721,
[final] ).
cnf(c_0_3548,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2722,
[final] ).
cnf(c_0_3549,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2723,
[final] ).
cnf(c_0_3550,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2724,
[final] ).
cnf(c_0_3551,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
c_0_2725,
[final] ).
cnf(c_0_3552,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
c_0_2726,
[final] ).
cnf(c_0_3553,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
c_0_2727,
[final] ).
cnf(c_0_3554,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
c_0_2728,
[final] ).
cnf(c_0_3555,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono1(X3) ),
c_0_2729,
[final] ).
cnf(c_0_3556,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2730,
[final] ).
cnf(c_0_3557,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2731,
[final] ).
cnf(c_0_3558,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2732,
[final] ).
cnf(c_0_3559,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2733,
[final] ).
cnf(c_0_3560,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2734,
[final] ).
cnf(c_0_3561,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2735,
[final] ).
cnf(c_0_3562,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2736,
[final] ).
cnf(c_0_3563,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
c_0_2737,
[final] ).
cnf(c_0_3564,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2738,
[final] ).
cnf(c_0_3565,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2739,
[final] ).
cnf(c_0_3566,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
c_0_2740,
[final] ).
cnf(c_0_3567,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2741,
[final] ).
cnf(c_0_3568,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2742,
[final] ).
cnf(c_0_3569,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2743,
[final] ).
cnf(c_0_3570,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2744,
[final] ).
cnf(c_0_3571,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2745,
[final] ).
cnf(c_0_3572,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2746,
[final] ).
cnf(c_0_3573,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2747,
[final] ).
cnf(c_0_3574,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2748,
[final] ).
cnf(c_0_3575,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
c_0_2749,
[final] ).
cnf(c_0_3576,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2750,
[final] ).
cnf(c_0_3577,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
c_0_2751,
[final] ).
cnf(c_0_3578,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
c_0_2752,
[final] ).
cnf(c_0_3579,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
c_0_2753,
[final] ).
cnf(c_0_3580,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
c_0_2754,
[final] ).
cnf(c_0_3581,plain,
( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2755,
[final] ).
cnf(c_0_3582,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_2756,
[final] ).
cnf(c_0_3583,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_2757,
[final] ).
cnf(c_0_3584,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_2758,
[final] ).
cnf(c_0_3585,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_2759,
[final] ).
cnf(c_0_3586,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_2760,
[final] ).
cnf(c_0_3587,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_2761,
[final] ).
cnf(c_0_3588,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_2762,
[final] ).
cnf(c_0_3589,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_2763,
[final] ).
cnf(c_0_3590,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_2764,
[final] ).
cnf(c_0_3591,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_2765,
[final] ).
cnf(c_0_3592,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_2766,
[final] ).
cnf(c_0_3593,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_2767,
[final] ).
cnf(c_0_3594,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_2768,
[final] ).
cnf(c_0_3595,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_2769,
[final] ).
cnf(c_0_3596,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_2770,
[final] ).
cnf(c_0_3597,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_2771,
[final] ).
cnf(c_0_3598,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_2772,
[final] ).
cnf(c_0_3599,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_2773,
[final] ).
cnf(c_0_3600,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_2774,
[final] ).
cnf(c_0_3601,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
c_0_2775,
[final] ).
cnf(c_0_3602,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
c_0_2776,
[final] ).
cnf(c_0_3603,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
c_0_2777,
[final] ).
cnf(c_0_3604,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
c_0_2778,
[final] ).
cnf(c_0_3605,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_2779,
[final] ).
cnf(c_0_3606,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_2780,
[final] ).
cnf(c_0_3607,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
c_0_2781,
[final] ).
cnf(c_0_3608,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
c_0_2782,
[final] ).
cnf(c_0_3609,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
c_0_2783,
[final] ).
cnf(c_0_3610,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
c_0_2784,
[final] ).
cnf(c_0_3611,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_2785,
[final] ).
cnf(c_0_3612,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_2786,
[final] ).
cnf(c_0_3613,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_2787,
[final] ).
cnf(c_0_3614,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2788,
[final] ).
cnf(c_0_3615,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2789,
[final] ).
cnf(c_0_3616,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2790,
[final] ).
cnf(c_0_3617,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2791,
[final] ).
cnf(c_0_3618,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2792,
[final] ).
cnf(c_0_3619,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2793,
[final] ).
cnf(c_0_3620,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2794,
[final] ).
cnf(c_0_3621,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2795,
[final] ).
cnf(c_0_3622,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2796,
[final] ).
cnf(c_0_3623,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2797,
[final] ).
cnf(c_0_3624,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2798,
[final] ).
cnf(c_0_3625,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2799,
[final] ).
cnf(c_0_3626,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2800,
[final] ).
cnf(c_0_3627,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2801,
[final] ).
cnf(c_0_3628,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2802,
[final] ).
cnf(c_0_3629,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
c_0_2803,
[final] ).
cnf(c_0_3630,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2804,
[final] ).
cnf(c_0_3631,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2805,
[final] ).
cnf(c_0_3632,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2806,
[final] ).
cnf(c_0_3633,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2807,
[final] ).
cnf(c_0_3634,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2808,
[final] ).
cnf(c_0_3635,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2809,
[final] ).
cnf(c_0_3636,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2810,
[final] ).
cnf(c_0_3637,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2811,
[final] ).
cnf(c_0_3638,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2812,
[final] ).
cnf(c_0_3639,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2813,
[final] ).
cnf(c_0_3640,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2814,
[final] ).
cnf(c_0_3641,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
c_0_2815,
[final] ).
cnf(c_0_3642,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2816,
[final] ).
cnf(c_0_3643,plain,
( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2817,
[final] ).
cnf(c_0_3644,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2818,
[final] ).
cnf(c_0_3645,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2819,
[final] ).
cnf(c_0_3646,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2820,
[final] ).
cnf(c_0_3647,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2821,
[final] ).
cnf(c_0_3648,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2822,
[final] ).
cnf(c_0_3649,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2823,
[final] ).
cnf(c_0_3650,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2824,
[final] ).
cnf(c_0_3651,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2825,
[final] ).
cnf(c_0_3652,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
c_0_2826,
[final] ).
cnf(c_0_3653,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
c_0_2827,
[final] ).
cnf(c_0_3654,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_2828,
[final] ).
cnf(c_0_3655,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
c_0_2829,
[final] ).
cnf(c_0_3656,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_2830,
[final] ).
cnf(c_0_3657,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
c_0_2831,
[final] ).
cnf(c_0_3658,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_2832,
[final] ).
cnf(c_0_3659,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2833,
[final] ).
cnf(c_0_3660,plain,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2834,
[final] ).
cnf(c_0_3661,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
c_0_2835,
[final] ).
cnf(c_0_3662,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2836,
[final] ).
cnf(c_0_3663,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_2837,
[final] ).
cnf(c_0_3664,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
c_0_2838,
[final] ).
cnf(c_0_3665,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
c_0_2839,
[final] ).
cnf(c_0_3666,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
c_0_2840,
[final] ).
cnf(c_0_3667,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
c_0_2841,
[final] ).
cnf(c_0_3668,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2842,
[final] ).
cnf(c_0_3669,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_2843,
[final] ).
cnf(c_0_3670,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
c_0_2844,
[final] ).
cnf(c_0_3671,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_2845,
[final] ).
cnf(c_0_3672,plain,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
c_0_2846,
[final] ).
cnf(c_0_3673,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
c_0_2847,
[final] ).
cnf(c_0_3674,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_2848,
[final] ).
cnf(c_0_3675,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
c_0_2849,
[final] ).
cnf(c_0_3676,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
c_0_2850,
[final] ).
cnf(c_0_3677,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
c_0_2851,
[final] ).
cnf(c_0_3678,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
c_0_2852,
[final] ).
cnf(c_0_3679,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2853,
[final] ).
cnf(c_0_3680,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2854,
[final] ).
cnf(c_0_3681,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2855,
[final] ).
cnf(c_0_3682,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2856,
[final] ).
cnf(c_0_3683,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2857,
[final] ).
cnf(c_0_3684,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2858,
[final] ).
cnf(c_0_3685,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2859,
[final] ).
cnf(c_0_3686,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2860,
[final] ).
cnf(c_0_3687,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2861,
[final] ).
cnf(c_0_3688,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2862,
[final] ).
cnf(c_0_3689,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2863,
[final] ).
cnf(c_0_3690,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2864,
[final] ).
cnf(c_0_3691,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
c_0_2865,
[final] ).
cnf(c_0_3692,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
c_0_2866,
[final] ).
cnf(c_0_3693,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
c_0_2867,
[final] ).
cnf(c_0_3694,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2868,
[final] ).
cnf(c_0_3695,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
c_0_2869,
[final] ).
cnf(c_0_3696,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2870,
[final] ).
cnf(c_0_3697,plain,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_2871,
[final] ).
cnf(c_0_3698,plain,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_2872,
[final] ).
cnf(c_0_3699,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_2873,
[final] ).
cnf(c_0_3700,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
c_0_2874,
[final] ).
cnf(c_0_3701,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2875,
[final] ).
cnf(c_0_3702,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2876,
[final] ).
cnf(c_0_3703,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2877,
[final] ).
cnf(c_0_3704,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2878,
[final] ).
cnf(c_0_3705,plain,
( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2879,
[final] ).
cnf(c_0_3706,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2880,
[final] ).
cnf(c_0_3707,plain,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
c_0_2881,
[final] ).
cnf(c_0_3708,plain,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_2882,
[final] ).
cnf(c_0_3709,plain,
( c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
c_0_2883,
[final] ).
cnf(c_0_3710,plain,
( c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
c_0_2884,
[final] ).
cnf(c_0_3711,plain,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_2885,
[final] ).
cnf(c_0_3712,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_2886,
[final] ).
cnf(c_0_3713,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_2887,
[final] ).
cnf(c_0_3714,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_2888,
[final] ).
cnf(c_0_3715,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_2889,
[final] ).
cnf(c_0_3716,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_2890,
[final] ).
cnf(c_0_3717,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_2891,
[final] ).
cnf(c_0_3718,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
c_0_2892,
[final] ).
cnf(c_0_3719,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_2893,
[final] ).
cnf(c_0_3720,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2894,
[final] ).
cnf(c_0_3721,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
c_0_2895,
[final] ).
cnf(c_0_3722,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2896,
[final] ).
cnf(c_0_3723,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
c_0_2897,
[final] ).
cnf(c_0_3724,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
c_0_2898,
[final] ).
cnf(c_0_3725,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
c_0_2899,
[final] ).
cnf(c_0_3726,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_2900,
[final] ).
cnf(c_0_3727,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
c_0_2901,
[final] ).
cnf(c_0_3728,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_2902,
[final] ).
cnf(c_0_3729,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_2903,
[final] ).
cnf(c_0_3730,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
c_0_2904,
[final] ).
cnf(c_0_3731,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_2905,
[final] ).
cnf(c_0_3732,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_2906,
[final] ).
cnf(c_0_3733,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_2907,
[final] ).
cnf(c_0_3734,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_2908,
[final] ).
cnf(c_0_3735,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_2909,
[final] ).
cnf(c_0_3736,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_2910,
[final] ).
cnf(c_0_3737,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_2911,
[final] ).
cnf(c_0_3738,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_2912,
[final] ).
cnf(c_0_3739,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_2913,
[final] ).
cnf(c_0_3740,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_2914,
[final] ).
cnf(c_0_3741,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_2915,
[final] ).
cnf(c_0_3742,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_2916,
[final] ).
cnf(c_0_3743,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_2917,
[final] ).
cnf(c_0_3744,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_2918,
[final] ).
cnf(c_0_3745,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_2919,
[final] ).
cnf(c_0_3746,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_2920,
[final] ).
cnf(c_0_3747,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2921,
[final] ).
cnf(c_0_3748,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2922,
[final] ).
cnf(c_0_3749,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2923,
[final] ).
cnf(c_0_3750,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2924,
[final] ).
cnf(c_0_3751,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_2925,
[final] ).
cnf(c_0_3752,plain,
( c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_2926,
[final] ).
cnf(c_0_3753,plain,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2927,
[final] ).
cnf(c_0_3754,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2928,
[final] ).
cnf(c_0_3755,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2929,
[final] ).
cnf(c_0_3756,plain,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2930,
[final] ).
cnf(c_0_3757,plain,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2931,
[final] ).
cnf(c_0_3758,plain,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2932,
[final] ).
cnf(c_0_3759,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
c_0_2933,
[final] ).
cnf(c_0_3760,plain,
( c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
c_0_2934,
[final] ).
cnf(c_0_3761,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2935,
[final] ).
cnf(c_0_3762,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2936,
[final] ).
cnf(c_0_3763,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2937,
[final] ).
cnf(c_0_3764,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2938,
[final] ).
cnf(c_0_3765,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2939,
[final] ).
cnf(c_0_3766,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
c_0_2940,
[final] ).
cnf(c_0_3767,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
c_0_2941,
[final] ).
cnf(c_0_3768,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
c_0_2942,
[final] ).
cnf(c_0_3769,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_2943,
[final] ).
cnf(c_0_3770,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_2944,
[final] ).
cnf(c_0_3771,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_2945,
[final] ).
cnf(c_0_3772,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
c_0_2946,
[final] ).
cnf(c_0_3773,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
c_0_2947,
[final] ).
cnf(c_0_3774,plain,
( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2948,
[final] ).
cnf(c_0_3775,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2949,
[final] ).
cnf(c_0_3776,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
c_0_2950,
[final] ).
cnf(c_0_3777,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
c_0_2951,
[final] ).
cnf(c_0_3778,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_2952,
[final] ).
cnf(c_0_3779,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
c_0_2953,
[final] ).
cnf(c_0_3780,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_2954,
[final] ).
cnf(c_0_3781,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_2955,
[final] ).
cnf(c_0_3782,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_2956,
[final] ).
cnf(c_0_3783,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_2957,
[final] ).
cnf(c_0_3784,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
c_0_2958,
[final] ).
cnf(c_0_3785,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
c_0_2959,
[final] ).
cnf(c_0_3786,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2960,
[final] ).
cnf(c_0_3787,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2961,
[final] ).
cnf(c_0_3788,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
c_0_2962,
[final] ).
cnf(c_0_3789,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X2)
| ~ class_Int_Onumber__ring(X2) ),
c_0_2963,
[final] ).
cnf(c_0_3790,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X2)
| ~ class_Int_Onumber__ring(X2) ),
c_0_2964,
[final] ).
cnf(c_0_3791,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_2965,
[final] ).
cnf(c_0_3792,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_2966,
[final] ).
cnf(c_0_3793,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_2967,
[final] ).
cnf(c_0_3794,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_2968,
[final] ).
cnf(c_0_3795,plain,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_2969,
[final] ).
cnf(c_0_3796,plain,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_2970,
[final] ).
cnf(c_0_3797,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
c_0_2971,
[final] ).
cnf(c_0_3798,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_2972,
[final] ).
cnf(c_0_3799,plain,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_2973,
[final] ).
cnf(c_0_3800,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
c_0_2974,
[final] ).
cnf(c_0_3801,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
c_0_2975,
[final] ).
cnf(c_0_3802,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2976,
[final] ).
cnf(c_0_3803,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2977,
[final] ).
cnf(c_0_3804,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2978,
[final] ).
cnf(c_0_3805,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2979,
[final] ).
cnf(c_0_3806,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_2980,
[final] ).
cnf(c_0_3807,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_2981,
[final] ).
cnf(c_0_3808,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X2,X3),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_2982,
[final] ).
cnf(c_0_3809,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_2983,
[final] ).
cnf(c_0_3810,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
c_0_2984,
[final] ).
cnf(c_0_3811,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_2985,
[final] ).
cnf(c_0_3812,plain,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_2986,
[final] ).
cnf(c_0_3813,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_2987,
[final] ).
cnf(c_0_3814,plain,
( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
| ~ class_RealVector_Oreal__normed__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
c_0_2988,
[final] ).
cnf(c_0_3815,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_2989,
[final] ).
cnf(c_0_3816,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X2),X1)
| ~ class_Int_Onumber__ring(X1) ),
c_0_2990,
[final] ).
cnf(c_0_3817,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
| ~ class_RealVector_Oreal__normed__field(X2) ),
c_0_2991,
[final] ).
cnf(c_0_3818,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2992,
[final] ).
cnf(c_0_3819,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2993,
[final] ).
cnf(c_0_3820,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2994,
[final] ).
cnf(c_0_3821,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2995,
[final] ).
cnf(c_0_3822,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2996,
[final] ).
cnf(c_0_3823,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2997,
[final] ).
cnf(c_0_3824,plain,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2998,
[final] ).
cnf(c_0_3825,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2999,
[final] ).
cnf(c_0_3826,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_3000,
[final] ).
cnf(c_0_3827,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_3001,
[final] ).
cnf(c_0_3828,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_3002,
[final] ).
cnf(c_0_3829,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_3003,
[final] ).
cnf(c_0_3830,plain,
( c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
c_0_3004,
[final] ).
cnf(c_0_3831,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
c_0_3005,
[final] ).
cnf(c_0_3832,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
c_0_3006,
[final] ).
cnf(c_0_3833,plain,
( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_3007,
[final] ).
cnf(c_0_3834,plain,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3008,
[final] ).
cnf(c_0_3835,plain,
( c_HOL_Oord__class_Oless(X3,X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3009,
[final] ).
cnf(c_0_3836,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_3010,
[final] ).
cnf(c_0_3837,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_3011,
[final] ).
cnf(c_0_3838,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_3012,
[final] ).
cnf(c_0_3839,plain,
( c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
c_0_3013,
[final] ).
cnf(c_0_3840,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2) = X4
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Oinverse__class_Odivide(X4,X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3014,
[final] ).
cnf(c_0_3841,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| X3 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X2),X1,X2)
| c_HOL_Oinverse__class_Odivide(X3,X1,X2) != c_Int_Onumber__class_Onumber__of(X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3015,
[final] ).
cnf(c_0_3842,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_3016,
[final] ).
cnf(c_0_3843,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3017,
[final] ).
cnf(c_0_3844,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3018,
[final] ).
cnf(c_0_3845,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3019,
[final] ).
cnf(c_0_3846,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_3020,
[final] ).
cnf(c_0_3847,plain,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_3021,
[final] ).
cnf(c_0_3848,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_3022,
[final] ).
cnf(c_0_3849,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3023,
[final] ).
cnf(c_0_3850,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3024,
[final] ).
cnf(c_0_3851,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_3025,
[final] ).
cnf(c_0_3852,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_3026,
[final] ).
cnf(c_0_3853,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_3027,
[final] ).
cnf(c_0_3854,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_3028,
[final] ).
cnf(c_0_3855,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_3029,
[final] ).
cnf(c_0_3856,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_3030,
[final] ).
cnf(c_0_3857,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_3031,
[final] ).
cnf(c_0_3858,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_3032,
[final] ).
cnf(c_0_3859,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_3033,
[final] ).
cnf(c_0_3860,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_3034,
[final] ).
cnf(c_0_3861,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_3035,
[final] ).
cnf(c_0_3862,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3036,
[final] ).
cnf(c_0_3863,plain,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3037,
[final] ).
cnf(c_0_3864,plain,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3038,
[final] ).
cnf(c_0_3865,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3039,
[final] ).
cnf(c_0_3866,plain,
( c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_3040,
[final] ).
cnf(c_0_3867,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_3041,
[final] ).
cnf(c_0_3868,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_3042,
[final] ).
cnf(c_0_3869,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_3043,
[final] ).
cnf(c_0_3870,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
c_0_3044,
[final] ).
cnf(c_0_3871,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_3045,
[final] ).
cnf(c_0_3872,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_3046,
[final] ).
cnf(c_0_3873,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_3047,
[final] ).
cnf(c_0_3874,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_3048,
[final] ).
cnf(c_0_3875,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_3049,
[final] ).
cnf(c_0_3876,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
c_0_3050,
[final] ).
cnf(c_0_3877,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
c_0_3051,
[final] ).
cnf(c_0_3878,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_3052,
[final] ).
cnf(c_0_3879,plain,
( X1 = X2
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
c_0_3053,
[final] ).
cnf(c_0_3880,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_3054,
[final] ).
cnf(c_0_3881,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_3055,
[final] ).
cnf(c_0_3882,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3056,
[final] ).
cnf(c_0_3883,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3057,
[final] ).
cnf(c_0_3884,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
c_0_3058,
[final] ).
cnf(c_0_3885,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
c_0_3059,
[final] ).
cnf(c_0_3886,plain,
( c_lessequals(X1,X3,X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3060,
[final] ).
cnf(c_0_3887,plain,
( c_HOL_Oord__class_Oless(X1,X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_3061,
[final] ).
cnf(c_0_3888,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_3062,
[final] ).
cnf(c_0_3889,plain,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_3063,
[final] ).
cnf(c_0_3890,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
c_0_3064,
[final] ).
cnf(c_0_3891,plain,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
c_0_3065,
[final] ).
cnf(c_0_3892,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
c_0_3066,
[final] ).
cnf(c_0_3893,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_3067,
[final] ).
cnf(c_0_3894,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_3068,
[final] ).
cnf(c_0_3895,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_3069,
[final] ).
cnf(c_0_3896,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_3070,
[final] ).
cnf(c_0_3897,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_3071,
[final] ).
cnf(c_0_3898,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_3072,
[final] ).
cnf(c_0_3899,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3073,
[final] ).
cnf(c_0_3900,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3074,
[final] ).
cnf(c_0_3901,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3075,
[final] ).
cnf(c_0_3902,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)
| ~ class_Ring__and__Field_Oordered__semidom(X2) ),
c_0_3076,
[final] ).
cnf(c_0_3903,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_3077,
[final] ).
cnf(c_0_3904,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_3078,
[final] ).
cnf(c_0_3905,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_3079,
[final] ).
cnf(c_0_3906,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_3080,
[final] ).
cnf(c_0_3907,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_3081,
[final] ).
cnf(c_0_3908,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_3082,
[final] ).
cnf(c_0_3909,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ c_lessequals(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_3083,
[final] ).
cnf(c_0_3910,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3084,
[final] ).
cnf(c_0_3911,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3085,
[final] ).
cnf(c_0_3912,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_3086,
[final] ).
cnf(c_0_3913,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_3087,
[final] ).
cnf(c_0_3914,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3088,
[final] ).
cnf(c_0_3915,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3089,
[final] ).
cnf(c_0_3916,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_3090,
[final] ).
cnf(c_0_3917,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
c_0_3091,
[final] ).
cnf(c_0_3918,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_3092,
[final] ).
cnf(c_0_3919,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_3093,
[final] ).
cnf(c_0_3920,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_3094,
[final] ).
cnf(c_0_3921,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
c_0_3095,
[final] ).
cnf(c_0_3922,plain,
( X1 = X2
| X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal) ),
c_0_3096,
[final] ).
cnf(c_0_3923,plain,
( X1 = X2
| X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
c_0_3097,
[final] ).
cnf(c_0_3924,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
c_0_3098,
[final] ).
cnf(c_0_3925,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_3099,
[final] ).
cnf(c_0_3926,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_3100,
[final] ).
cnf(c_0_3927,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_3101,
[final] ).
cnf(c_0_3928,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_3102,
[final] ).
cnf(c_0_3929,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_3103,
[final] ).
cnf(c_0_3930,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_3104,
[final] ).
cnf(c_0_3931,plain,
( c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X2),X2) = c_HOL_Oplus__class_Oplus(X1,X1,X2)
| ~ class_Int_Onumber__ring(X2) ),
c_0_3105,
[final] ).
cnf(c_0_3932,plain,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X2,X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
c_0_3106,
[final] ).
cnf(c_0_3933,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_3107,
[final] ).
cnf(c_0_3934,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
c_0_3108,
[final] ).
cnf(c_0_3935,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3109,
[final] ).
cnf(c_0_3936,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3110,
[final] ).
cnf(c_0_3937,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
c_0_3111,
[final] ).
cnf(c_0_3938,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
c_0_3112,
[final] ).
cnf(c_0_3939,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
c_0_3113,
[final] ).
cnf(c_0_3940,plain,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_3114,
[final] ).
cnf(c_0_3941,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
c_0_3115,
[final] ).
cnf(c_0_3942,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_3116,
[final] ).
cnf(c_0_3943,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_3117,
[final] ).
cnf(c_0_3944,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
c_0_3118,
[final] ).
cnf(c_0_3945,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_3119,
[final] ).
cnf(c_0_3946,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_3120,
[final] ).
cnf(c_0_3947,plain,
( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_3121,
[final] ).
cnf(c_0_3948,plain,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_3122,
[final] ).
cnf(c_0_3949,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_3123,
[final] ).
cnf(c_0_3950,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_3124,
[final] ).
cnf(c_0_3951,plain,
( X2 = X1
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3125,
[final] ).
cnf(c_0_3952,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3126,
[final] ).
cnf(c_0_3953,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3127,
[final] ).
cnf(c_0_3954,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3128,
[final] ).
cnf(c_0_3955,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3129,
[final] ).
cnf(c_0_3956,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3130,
[final] ).
cnf(c_0_3957,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3131,
[final] ).
cnf(c_0_3958,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3132,
[final] ).
cnf(c_0_3959,plain,
( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_3133,
[final] ).
cnf(c_0_3960,plain,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_3134,
[final] ).
cnf(c_0_3961,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3135,
[final] ).
cnf(c_0_3962,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_3136,
[final] ).
cnf(c_0_3963,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_3137,
[final] ).
cnf(c_0_3964,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_3138,
[final] ).
cnf(c_0_3965,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3139,
[final] ).
cnf(c_0_3966,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3140,
[final] ).
cnf(c_0_3967,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_3141,
[final] ).
cnf(c_0_3968,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_3142,
[final] ).
cnf(c_0_3969,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_3143,
[final] ).
cnf(c_0_3970,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_3144,
[final] ).
cnf(c_0_3971,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_3145,
[final] ).
cnf(c_0_3972,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_3146,
[final] ).
cnf(c_0_3973,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_3147,
[final] ).
cnf(c_0_3974,plain,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_3148,
[final] ).
cnf(c_0_3975,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_3149,
[final] ).
cnf(c_0_3976,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_3150,
[final] ).
cnf(c_0_3977,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3)
| c_Int_Onumber__class_Onumber__of(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
c_0_3151,
[final] ).
cnf(c_0_3978,plain,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
c_0_3152,
[final] ).
cnf(c_0_3979,plain,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3153,
[final] ).
cnf(c_0_3980,plain,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3154,
[final] ).
cnf(c_0_3981,plain,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oabs__if(X2) ),
c_0_3155,
[final] ).
cnf(c_0_3982,plain,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_3156,
[final] ).
cnf(c_0_3983,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3157,
[final] ).
cnf(c_0_3984,plain,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3158,
[final] ).
cnf(c_0_3985,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_3159,
[final] ).
cnf(c_0_3986,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
c_0_3160,
[final] ).
cnf(c_0_3987,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X2 = X1
| ~ class_Orderings_Olinorder(X3) ),
c_0_3161,
[final] ).
cnf(c_0_3988,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3162,
[final] ).
cnf(c_0_3989,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3163,
[final] ).
cnf(c_0_3990,plain,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
c_0_3164,
[final] ).
cnf(c_0_3991,plain,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
c_0_3165,
[final] ).
cnf(c_0_3992,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3166,
[final] ).
cnf(c_0_3993,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3167,
[final] ).
cnf(c_0_3994,plain,
( c_lessequals(X1,X1,X2)
| c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_3168,
[final] ).
cnf(c_0_3995,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3169,
[final] ).
cnf(c_0_3996,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_3170,
[final] ).
cnf(c_0_3997,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_3171,
[final] ).
cnf(c_0_3998,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_3172,
[final] ).
cnf(c_0_3999,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_3173,
[final] ).
cnf(c_0_4000,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_3174,
[final] ).
cnf(c_0_4001,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_3175,
[final] ).
cnf(c_0_4002,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_3176,
[final] ).
cnf(c_0_4003,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_3177,
[final] ).
cnf(c_0_4004,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_3178,
[final] ).
cnf(c_0_4005,plain,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3179,
[final] ).
cnf(c_0_4006,plain,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_3180,
[final] ).
cnf(c_0_4007,plain,
( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_3181,
[final] ).
cnf(c_0_4008,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_3182,
[final] ).
cnf(c_0_4009,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_3183,
[final] ).
cnf(c_0_4010,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_3184,
[final] ).
cnf(c_0_4011,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_3185,
[final] ).
cnf(c_0_4012,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_3186,
[final] ).
cnf(c_0_4013,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_3187,
[final] ).
cnf(c_0_4014,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_3188,
[final] ).
cnf(c_0_4015,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X1,tc_RealDef_Oreal) ),
c_0_3189,
[final] ).
cnf(c_0_4016,plain,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
c_0_3190,
[final] ).
cnf(c_0_4017,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_3191,
[final] ).
cnf(c_0_4018,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_3192,
[final] ).
cnf(c_0_4019,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3193,
[final] ).
cnf(c_0_4020,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3194,
[final] ).
cnf(c_0_4021,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3195,
[final] ).
cnf(c_0_4022,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
c_0_3196,
[final] ).
cnf(c_0_4023,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_3197,
[final] ).
cnf(c_0_4024,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_3198,
[final] ).
cnf(c_0_4025,plain,
( X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_3199,
[final] ).
cnf(c_0_4026,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1)
| ~ class_Int_Onumber__ring(X1) ),
c_0_3200,
[final] ).
cnf(c_0_4027,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_3201,
[final] ).
cnf(c_0_4028,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3202,
[final] ).
cnf(c_0_4029,plain,
( c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Int_Onumber__ring(X2) ),
c_0_3203,
[final] ).
cnf(c_0_4030,plain,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
c_0_3204,
[final] ).
cnf(c_0_4031,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_3205,
[final] ).
cnf(c_0_4032,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
c_0_3206,
[final] ).
cnf(c_0_4033,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_3207,
[final] ).
cnf(c_0_4034,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_3208,
[final] ).
cnf(c_0_4035,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_3209,
[final] ).
cnf(c_0_4036,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_3210,
[final] ).
cnf(c_0_4037,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_3211,
[final] ).
cnf(c_0_4038,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_3212,
[final] ).
cnf(c_0_4039,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_3213,
[final] ).
cnf(c_0_4040,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = X1
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_3214,
[final] ).
cnf(c_0_4041,plain,
( c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Int_Onumber__ring(X2)
| ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
c_0_3215,
[final] ).
cnf(c_0_4042,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_3216,
[final] ).
cnf(c_0_4043,plain,
( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_3217,
[final] ).
cnf(c_0_4044,plain,
( c_HOL_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X2),X2) = X1
| ~ class_Int_Onumber__ring(X2) ),
c_0_3218,
[final] ).
cnf(c_0_4045,plain,
( c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
c_0_3219,
[final] ).
cnf(c_0_4046,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_3220,
[final] ).
cnf(c_0_4047,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = X1
| ~ class_Ring__and__Field_Oabs__if(X2) ),
c_0_3221,
[final] ).
cnf(c_0_4048,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_3222,
[final] ).
cnf(c_0_4049,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_3223,
[final] ).
cnf(c_0_4050,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_3224,
[final] ).
cnf(c_0_4051,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_3225,
[final] ).
cnf(c_0_4052,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_3226,
[final] ).
cnf(c_0_4053,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_3227,
[final] ).
cnf(c_0_4054,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_3228,
[final] ).
cnf(c_0_4055,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_3229,
[final] ).
cnf(c_0_4056,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_3230,
[final] ).
cnf(c_0_4057,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_3231,
[final] ).
cnf(c_0_4058,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_3232,
[final] ).
cnf(c_0_4059,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_3233,
[final] ).
cnf(c_0_4060,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_3234,
[final] ).
cnf(c_0_4061,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_3235,
[final] ).
cnf(c_0_4062,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_3236,
[final] ).
cnf(c_0_4063,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_3237,
[final] ).
cnf(c_0_4064,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_3238,
[final] ).
cnf(c_0_4065,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_3239,
[final] ).
cnf(c_0_4066,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_3240,
[final] ).
cnf(c_0_4067,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_3241,
[final] ).
cnf(c_0_4068,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_3242,
[final] ).
cnf(c_0_4069,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_3243,
[final] ).
cnf(c_0_4070,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_3244,
[final] ).
cnf(c_0_4071,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_3245,
[final] ).
cnf(c_0_4072,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_3246,
[final] ).
cnf(c_0_4073,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
c_0_3247,
[final] ).
cnf(c_0_4074,plain,
( c_HOL_Otimes__class_Otimes(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
| ~ class_OrderedGroup_Omonoid__mult(X2) ),
c_0_3248,
[final] ).
cnf(c_0_4075,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__mult(X1) ),
c_0_3249,
[final] ).
cnf(c_0_4076,plain,
( c_HOL_Otimes__class_Otimes(c_HOL_Oone__class_Oone(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__mult(X1) ),
c_0_3250,
[final] ).
cnf(c_0_4077,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_3251,
[final] ).
cnf(c_0_4078,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_3252,
[final] ).
cnf(c_0_4079,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_3253,
[final] ).
cnf(c_0_4080,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Omonoid__add(X2) ),
c_0_3254,
[final] ).
cnf(c_0_4081,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
c_0_3255,
[final] ).
cnf(c_0_4082,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
c_0_3256,
[final] ).
cnf(c_0_4083,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_3257,
[final] ).
cnf(c_0_4084,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_3258,
[final] ).
cnf(c_0_4085,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_3259,
[final] ).
cnf(c_0_4086,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_3260,
[final] ).
cnf(c_0_4087,plain,
( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Oone__class_Oone(X2),X2) = X1
| ~ class_Ring__and__Field_Ofield(X2) ),
c_0_3261,
[final] ).
cnf(c_0_4088,plain,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_3262,
[final] ).
cnf(c_0_4089,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Oab__group__add(X2) ),
c_0_3263,
[final] ).
cnf(c_0_4090,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_3264,
[final] ).
cnf(c_0_4091,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_3265,
[final] ).
cnf(c_0_4092,plain,
( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
c_0_3266,
[final] ).
cnf(c_0_4093,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_3267,
[final] ).
cnf(c_0_4094,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_3268,
[final] ).
cnf(c_0_4095,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_3269,
[final] ).
cnf(c_0_4096,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_3270,
[final] ).
cnf(c_0_4097,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_3271,
[final] ).
cnf(c_0_4098,plain,
( X1 = X2
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| ~ class_Int_Onumber__ring(X3)
| ~ class_Int_Oring__char__0(X3) ),
c_0_3272,
[final] ).
cnf(c_0_4099,plain,
( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_3273,
[final] ).
cnf(c_0_4100,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
c_0_3274,
[final] ).
cnf(c_0_4101,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_3275,
[final] ).
cnf(c_0_4102,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_3276,
[final] ).
cnf(c_0_4103,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_3277,
[final] ).
cnf(c_0_4104,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_3278,
[final] ).
cnf(c_0_4105,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_3279,
[final] ).
cnf(c_0_4106,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_3280,
[final] ).
cnf(c_0_4107,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_3281,
[final] ).
cnf(c_0_4108,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_3282,
[final] ).
cnf(c_0_4109,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_3283,
[final] ).
cnf(c_0_4110,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
c_0_3284,
[final] ).
cnf(c_0_4111,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_3285,
[final] ).
cnf(c_0_4112,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_3286,
[final] ).
cnf(c_0_4113,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_3287,
[final] ).
cnf(c_0_4114,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_3288,
[final] ).
cnf(c_0_4115,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_3289,
[final] ).
cnf(c_0_4116,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_3290,
[final] ).
cnf(c_0_4117,plain,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
c_0_3291,
[final] ).
cnf(c_0_4118,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Int_Onumber__ring(X1) ),
c_0_3292,
[final] ).
cnf(c_0_4119,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Int_Onumber__ring(X1) ),
c_0_3293,
[final] ).
cnf(c_0_4120,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber__ring(X1) ),
c_0_3294,
[final] ).
cnf(c_0_4121,plain,
( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber__ring(X1) ),
c_0_3295,
[final] ).
cnf(c_0_4122,plain,
( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
c_0_3296,
[final] ).
cnf(c_0_4123,plain,
( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
c_0_3297,
[final] ).
cnf(c_0_4124,plain,
( X1 = X2
| c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
c_0_3298,
[final] ).
cnf(c_0_4125,plain,
( X1 = X2
| c_Int_OBit0(X1) != c_Int_OBit0(X2) ),
c_0_3299,
[final] ).
cnf(c_0_4126,plain,
( X1 = X2
| c_Int_OBit1(X1) != c_Int_OBit1(X2) ),
c_0_3300,
[final] ).
cnf(c_0_4127,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_3301,
[final] ).
cnf(c_0_4128,plain,
( X1 = c_Int_OPls
| c_Int_OBit0(X1) != c_Int_OPls ),
c_0_3302,
[final] ).
cnf(c_0_4129,plain,
( c_Int_OPls = X1
| c_Int_OBit0(X1) != c_Int_OPls ),
c_0_3303,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_3304_0,axiom,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3304]) ).
cnf(c_0_3304_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3304]) ).
cnf(c_0_3304_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| v_thesis____ ),
inference(literals_permutation,[status(thm)],[c_0_3304]) ).
cnf(c_0_3305_0,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3305]) ).
cnf(c_0_3305_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3305]) ).
cnf(c_0_3305_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X1,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3305]) ).
cnf(c_0_3306_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_3306]) ).
cnf(c_0_3306_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_3306]) ).
cnf(c_0_3307_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3307]) ).
cnf(c_0_3307_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3307]) ).
cnf(c_0_3307_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3307]) ).
cnf(c_0_3307_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3307]) ).
cnf(c_0_3307_4,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3307]) ).
cnf(c_0_3307_5,axiom,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3307]) ).
cnf(c_0_3308_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3308]) ).
cnf(c_0_3308_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3308]) ).
cnf(c_0_3308_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3308]) ).
cnf(c_0_3308_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3308]) ).
cnf(c_0_3308_4,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3308]) ).
cnf(c_0_3308_5,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3308]) ).
cnf(c_0_3309_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3309]) ).
cnf(c_0_3309_1,axiom,
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3309]) ).
cnf(c_0_3309_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3309]) ).
cnf(c_0_3310_0,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3310]) ).
cnf(c_0_3310_1,axiom,
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3310]) ).
cnf(c_0_3310_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_sko__local__Xthat__1(X1,v_p,v_s____,v_z____),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3310]) ).
cnf(c_0_3311_0,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X4,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X4,X3),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3311]) ).
cnf(c_0_3311_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X4,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X4,X3),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3311]) ).
cnf(c_0_3311_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X4,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X4,X3),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3311]) ).
cnf(c_0_3311_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X4,X3),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(X4,X2,tc_Complex_Ocomplex),c_Polynomial_Opoly(X4,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3311]) ).
cnf(c_0_3312_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3312]) ).
cnf(c_0_3312_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3312]) ).
cnf(c_0_3313_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3313]) ).
cnf(c_0_3313_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X3)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X4,X3),X3),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X5,X3),X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3313]) ).
cnf(c_0_3314_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_3314]) ).
cnf(c_0_3314_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_3314]) ).
cnf(c_0_3315_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3315]) ).
cnf(c_0_3315_1,axiom,
( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3315]) ).
cnf(c_0_3315_2,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3315]) ).
cnf(c_0_3316_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3316]) ).
cnf(c_0_3316_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3316]) ).
cnf(c_0_3316_2,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3316]) ).
cnf(c_0_3317_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3317]) ).
cnf(c_0_3317_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4)
| ~ class_Ring__and__Field_Opordered__ring(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3317]) ).
cnf(c_0_3317_2,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X4),X5,X4),X6,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X5,X4),X1,X4),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X5,X4),X6,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3317]) ).
cnf(c_0_3318_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3318]) ).
cnf(c_0_3318_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3318]) ).
cnf(c_0_3318_2,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3),X5,X3),X6,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X4,X3),X5,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X4,X3),X6,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3318]) ).
cnf(c_0_3319_0,axiom,
( c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3319]) ).
cnf(c_0_3319_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3319]) ).
cnf(c_0_3319_2,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| c_lessequals(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3319]) ).
cnf(c_0_3320_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3320]) ).
cnf(c_0_3320_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3320]) ).
cnf(c_0_3320_2,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3320]) ).
cnf(c_0_3321_0,axiom,
( c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3321]) ).
cnf(c_0_3321_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3321]) ).
cnf(c_0_3321_2,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X1,X3),X2,X3),X6,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3321]) ).
cnf(c_0_3322_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3322]) ).
cnf(c_0_3322_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3322]) ).
cnf(c_0_3322_2,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X3),X6,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X5,X3),X2,X3),X4,X3),X6,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3322]) ).
cnf(c_0_3323_0,axiom,
( c_lessequals(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3323]) ).
cnf(c_0_3323_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3323]) ).
cnf(c_0_3323_2,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3323]) ).
cnf(c_0_3323_3,axiom,
( ~ c_lessequals(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Osin(X1),c_Transcendental_Osin(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3323]) ).
cnf(c_0_3324_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3324]) ).
cnf(c_0_3324_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3324]) ).
cnf(c_0_3324_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3324]) ).
cnf(c_0_3324_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3324]) ).
cnf(c_0_3325_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3325]) ).
cnf(c_0_3325_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3325]) ).
cnf(c_0_3325_2,axiom,
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3325]) ).
cnf(c_0_3326_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3326]) ).
cnf(c_0_3326_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3326]) ).
cnf(c_0_3326_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3326]) ).
cnf(c_0_3327_0,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3327]) ).
cnf(c_0_3327_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3327]) ).
cnf(c_0_3328_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3328]) ).
cnf(c_0_3328_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3328]) ).
cnf(c_0_3329_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_3329]) ).
cnf(c_0_3329_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_3329]) ).
cnf(c_0_3330_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_3330]) ).
cnf(c_0_3330_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_3330]) ).
cnf(c_0_3331_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3331]) ).
cnf(c_0_3331_1,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3331]) ).
cnf(c_0_3331_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3331]) ).
cnf(c_0_3331_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3331]) ).
cnf(c_0_3331_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3331]) ).
cnf(c_0_3331_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3331]) ).
cnf(c_0_3331_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3331]) ).
cnf(c_0_3332_0,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3332]) ).
cnf(c_0_3332_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3332]) ).
cnf(c_0_3332_2,axiom,
( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3332]) ).
cnf(c_0_3332_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3332]) ).
cnf(c_0_3332_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3332]) ).
cnf(c_0_3332_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3332]) ).
cnf(c_0_3332_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3332]) ).
cnf(c_0_3333_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3333_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3333_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3333_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3333_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3333_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3333_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3334_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3334]) ).
cnf(c_0_3334_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3334]) ).
cnf(c_0_3334_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3334]) ).
cnf(c_0_3334_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3334]) ).
cnf(c_0_3334_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3334]) ).
cnf(c_0_3334_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3334]) ).
cnf(c_0_3334_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3334]) ).
cnf(c_0_3335_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3335]) ).
cnf(c_0_3335_1,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3335]) ).
cnf(c_0_3335_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3335]) ).
cnf(c_0_3335_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3335]) ).
cnf(c_0_3335_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(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_3335]) ).
cnf(c_0_3335_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3335]) ).
cnf(c_0_3335_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3335]) ).
cnf(c_0_3336_0,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3336]) ).
cnf(c_0_3336_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3336]) ).
cnf(c_0_3336_2,axiom,
( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3336]) ).
cnf(c_0_3336_3,axiom,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3336]) ).
cnf(c_0_3336_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3336]) ).
cnf(c_0_3336_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3336]) ).
cnf(c_0_3336_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3336]) ).
cnf(c_0_3337_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3337]) ).
cnf(c_0_3337_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3337]) ).
cnf(c_0_3337_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3337]) ).
cnf(c_0_3337_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3337]) ).
cnf(c_0_3337_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(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_3337]) ).
cnf(c_0_3337_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3337]) ).
cnf(c_0_3337_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3337]) ).
cnf(c_0_3338_0,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3338]) ).
cnf(c_0_3338_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3338]) ).
cnf(c_0_3338_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3338]) ).
cnf(c_0_3338_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3338]) ).
cnf(c_0_3338_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3338]) ).
cnf(c_0_3338_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3338]) ).
cnf(c_0_3338_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3338]) ).
cnf(c_0_3339_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3339]) ).
cnf(c_0_3339_1,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3339]) ).
cnf(c_0_3339_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3339]) ).
cnf(c_0_3339_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3339]) ).
cnf(c_0_3339_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3339]) ).
cnf(c_0_3339_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3339]) ).
cnf(c_0_3339_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3339]) ).
cnf(c_0_3340_0,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3340]) ).
cnf(c_0_3340_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3340]) ).
cnf(c_0_3340_2,axiom,
( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3340]) ).
cnf(c_0_3340_3,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3340]) ).
cnf(c_0_3340_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3340]) ).
cnf(c_0_3340_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3340]) ).
cnf(c_0_3340_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3340]) ).
cnf(c_0_3341_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3341]) ).
cnf(c_0_3341_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3341]) ).
cnf(c_0_3341_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3341]) ).
cnf(c_0_3341_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3341]) ).
cnf(c_0_3341_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3341]) ).
cnf(c_0_3341_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3341]) ).
cnf(c_0_3341_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3341]) ).
cnf(c_0_3342_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3342]) ).
cnf(c_0_3342_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3342]) ).
cnf(c_0_3342_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3342]) ).
cnf(c_0_3342_3,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3342]) ).
cnf(c_0_3342_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3342]) ).
cnf(c_0_3342_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3342]) ).
cnf(c_0_3342_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3342]) ).
cnf(c_0_3343_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_3343]) ).
cnf(c_0_3343_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_3343]) ).
cnf(c_0_3343_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_3343]) ).
cnf(c_0_3343_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_3343]) ).
cnf(c_0_3344_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_3344]) ).
cnf(c_0_3344_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_3344]) ).
cnf(c_0_3344_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_3344]) ).
cnf(c_0_3344_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_3344]) ).
cnf(c_0_3345_0,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3345]) ).
cnf(c_0_3345_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3345]) ).
cnf(c_0_3345_2,axiom,
( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3345]) ).
cnf(c_0_3345_3,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3345]) ).
cnf(c_0_3345_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3345]) ).
cnf(c_0_3345_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3345]) ).
cnf(c_0_3345_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3345]) ).
cnf(c_0_3346_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3346]) ).
cnf(c_0_3346_1,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3346]) ).
cnf(c_0_3346_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3346]) ).
cnf(c_0_3346_3,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3346]) ).
cnf(c_0_3346_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(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_3346]) ).
cnf(c_0_3346_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3346]) ).
cnf(c_0_3346_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3346]) ).
cnf(c_0_3347_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3347]) ).
cnf(c_0_3347_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3347]) ).
cnf(c_0_3347_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3347]) ).
cnf(c_0_3347_3,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3347]) ).
cnf(c_0_3347_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(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_3347]) ).
cnf(c_0_3347_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3347]) ).
cnf(c_0_3347_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3347]) ).
cnf(c_0_3348_0,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3348]) ).
cnf(c_0_3348_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3348]) ).
cnf(c_0_3348_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3348]) ).
cnf(c_0_3348_3,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3348]) ).
cnf(c_0_3348_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3348]) ).
cnf(c_0_3348_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3348]) ).
cnf(c_0_3348_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3348]) ).
cnf(c_0_3349_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3349]) ).
cnf(c_0_3349_1,axiom,
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3349]) ).
cnf(c_0_3350_0,axiom,
( X3 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3350]) ).
cnf(c_0_3350_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| X3 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3350]) ).
cnf(c_0_3350_2,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| X3 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3350]) ).
cnf(c_0_3351_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3351]) ).
cnf(c_0_3351_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3351]) ).
cnf(c_0_3351_2,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3351]) ).
cnf(c_0_3352_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3352]) ).
cnf(c_0_3352_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3352]) ).
cnf(c_0_3353_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_3353]) ).
cnf(c_0_3353_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_3353]) ).
cnf(c_0_3353_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_3353]) ).
cnf(c_0_3354_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_3354]) ).
cnf(c_0_3354_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_3354]) ).
cnf(c_0_3354_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_3354]) ).
cnf(c_0_3355_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_3355]) ).
cnf(c_0_3355_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_3355]) ).
cnf(c_0_3356_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_3356]) ).
cnf(c_0_3356_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_3356]) ).
cnf(c_0_3356_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_3356]) ).
cnf(c_0_3356_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_3356]) ).
cnf(c_0_3356_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_3356]) ).
cnf(c_0_3357_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_3357]) ).
cnf(c_0_3357_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_3357]) ).
cnf(c_0_3357_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_3357]) ).
cnf(c_0_3357_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_3357]) ).
cnf(c_0_3357_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_3357]) ).
cnf(c_0_3358_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3358]) ).
cnf(c_0_3358_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3358]) ).
cnf(c_0_3358_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3358]) ).
cnf(c_0_3358_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X4,X1,X3),X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3358]) ).
cnf(c_0_3359_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3359]) ).
cnf(c_0_3359_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3359]) ).
cnf(c_0_3359_2,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3359]) ).
cnf(c_0_3359_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3359]) ).
cnf(c_0_3359_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(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_3359]) ).
cnf(c_0_3359_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3359]) ).
cnf(c_0_3359_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3359]) ).
cnf(c_0_3360_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3360]) ).
cnf(c_0_3360_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3360]) ).
cnf(c_0_3360_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3360]) ).
cnf(c_0_3360_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3360]) ).
cnf(c_0_3360_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3360]) ).
cnf(c_0_3360_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3360]) ).
cnf(c_0_3360_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3360]) ).
cnf(c_0_3361_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3361]) ).
cnf(c_0_3361_1,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3361]) ).
cnf(c_0_3361_2,axiom,
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3361]) ).
cnf(c_0_3361_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3361]) ).
cnf(c_0_3361_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3361]) ).
cnf(c_0_3361_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3361]) ).
cnf(c_0_3361_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3361]) ).
cnf(c_0_3362_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3362]) ).
cnf(c_0_3362_1,axiom,
( c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3362]) ).
cnf(c_0_3362_2,axiom,
( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3362]) ).
cnf(c_0_3362_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3362]) ).
cnf(c_0_3362_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3362]) ).
cnf(c_0_3362_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3362]) ).
cnf(c_0_3362_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3362]) ).
cnf(c_0_3363_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3363]) ).
cnf(c_0_3363_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3363]) ).
cnf(c_0_3363_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3363]) ).
cnf(c_0_3363_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3363]) ).
cnf(c_0_3363_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(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_3363]) ).
cnf(c_0_3363_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3363]) ).
cnf(c_0_3363_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3363]) ).
cnf(c_0_3364_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3364]) ).
cnf(c_0_3364_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3364]) ).
cnf(c_0_3364_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3364]) ).
cnf(c_0_3364_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3364]) ).
cnf(c_0_3364_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3364]) ).
cnf(c_0_3364_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3364]) ).
cnf(c_0_3364_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3364]) ).
cnf(c_0_3365_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3365]) ).
cnf(c_0_3365_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3365]) ).
cnf(c_0_3365_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3365]) ).
cnf(c_0_3365_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3365]) ).
cnf(c_0_3365_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3365]) ).
cnf(c_0_3365_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3365]) ).
cnf(c_0_3365_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3365]) ).
cnf(c_0_3366_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3366]) ).
cnf(c_0_3366_1,axiom,
( c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3366]) ).
cnf(c_0_3366_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3366]) ).
cnf(c_0_3366_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3366]) ).
cnf(c_0_3366_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3366]) ).
cnf(c_0_3366_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3366]) ).
cnf(c_0_3366_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3366]) ).
cnf(c_0_3367_0,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3367]) ).
cnf(c_0_3367_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3367]) ).
cnf(c_0_3367_2,axiom,
( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3367]) ).
cnf(c_0_3367_3,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3367]) ).
cnf(c_0_3367_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3367]) ).
cnf(c_0_3367_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3367]) ).
cnf(c_0_3368_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3368]) ).
cnf(c_0_3368_1,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3368]) ).
cnf(c_0_3368_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3368]) ).
cnf(c_0_3368_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3368]) ).
cnf(c_0_3368_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3368]) ).
cnf(c_0_3368_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3368]) ).
cnf(c_0_3369_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3369]) ).
cnf(c_0_3369_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3369]) ).
cnf(c_0_3369_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3369]) ).
cnf(c_0_3369_3,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3369]) ).
cnf(c_0_3369_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3369]) ).
cnf(c_0_3369_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3369]) ).
cnf(c_0_3370_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3370]) ).
cnf(c_0_3370_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3370]) ).
cnf(c_0_3370_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3370]) ).
cnf(c_0_3370_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3370]) ).
cnf(c_0_3370_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3370]) ).
cnf(c_0_3370_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3370]) ).
cnf(c_0_3371_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3371]) ).
cnf(c_0_3371_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3371]) ).
cnf(c_0_3371_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3371]) ).
cnf(c_0_3371_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3371]) ).
cnf(c_0_3371_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3371]) ).
cnf(c_0_3371_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3371]) ).
cnf(c_0_3372_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3372]) ).
cnf(c_0_3372_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3372]) ).
cnf(c_0_3372_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3372]) ).
cnf(c_0_3372_3,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3372]) ).
cnf(c_0_3372_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3372]) ).
cnf(c_0_3372_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3372]) ).
cnf(c_0_3373_0,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3373]) ).
cnf(c_0_3373_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3373]) ).
cnf(c_0_3373_2,axiom,
( ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3373]) ).
cnf(c_0_3373_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3373]) ).
cnf(c_0_3373_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3373]) ).
cnf(c_0_3373_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X4,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3373]) ).
cnf(c_0_3374_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3374]) ).
cnf(c_0_3374_1,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3374]) ).
cnf(c_0_3374_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3374]) ).
cnf(c_0_3374_3,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3374]) ).
cnf(c_0_3374_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3374]) ).
cnf(c_0_3374_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X4),X1,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3374]) ).
cnf(c_0_3375_0,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3375]) ).
cnf(c_0_3375_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3375]) ).
cnf(c_0_3375_2,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3375]) ).
cnf(c_0_3375_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3375]) ).
cnf(c_0_3375_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3375]) ).
cnf(c_0_3375_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3375]) ).
cnf(c_0_3375_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3375]) ).
cnf(c_0_3376_0,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3376]) ).
cnf(c_0_3376_1,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3376]) ).
cnf(c_0_3376_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3376]) ).
cnf(c_0_3376_3,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3376]) ).
cnf(c_0_3376_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3376]) ).
cnf(c_0_3376_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3376]) ).
cnf(c_0_3376_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3376]) ).
cnf(c_0_3377_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3377]) ).
cnf(c_0_3377_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3377]) ).
cnf(c_0_3377_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3377]) ).
cnf(c_0_3377_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3377]) ).
cnf(c_0_3377_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3377]) ).
cnf(c_0_3377_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3377]) ).
cnf(c_0_3377_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3377]) ).
cnf(c_0_3378_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3378]) ).
cnf(c_0_3378_1,axiom,
( c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3378]) ).
cnf(c_0_3378_2,axiom,
( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3378]) ).
cnf(c_0_3378_3,axiom,
( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3378]) ).
cnf(c_0_3378_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3378]) ).
cnf(c_0_3378_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3378]) ).
cnf(c_0_3378_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3378]) ).
cnf(c_0_3379_0,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3379_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3379_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3379_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3379_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3379_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3379_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3380_0,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3380]) ).
cnf(c_0_3380_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3380]) ).
cnf(c_0_3380_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3380]) ).
cnf(c_0_3380_3,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3380]) ).
cnf(c_0_3380_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3380]) ).
cnf(c_0_3380_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3380]) ).
cnf(c_0_3380_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3380]) ).
cnf(c_0_3381_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3381]) ).
cnf(c_0_3381_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3381]) ).
cnf(c_0_3381_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3381]) ).
cnf(c_0_3381_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3381]) ).
cnf(c_0_3381_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3381]) ).
cnf(c_0_3381_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3381]) ).
cnf(c_0_3381_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3381]) ).
cnf(c_0_3382_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3382]) ).
cnf(c_0_3382_1,axiom,
( c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3382]) ).
cnf(c_0_3382_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3382]) ).
cnf(c_0_3382_3,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3382]) ).
cnf(c_0_3382_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3382]) ).
cnf(c_0_3382_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3382]) ).
cnf(c_0_3382_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3382]) ).
cnf(c_0_3383_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3383]) ).
cnf(c_0_3383_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3383]) ).
cnf(c_0_3384_0,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3384]) ).
cnf(c_0_3384_1,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3384]) ).
cnf(c_0_3384_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3384]) ).
cnf(c_0_3384_3,axiom,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3384]) ).
cnf(c_0_3384_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3384]) ).
cnf(c_0_3384_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3384]) ).
cnf(c_0_3384_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3384]) ).
cnf(c_0_3385_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3385_1,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3385_2,axiom,
( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3385_3,axiom,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3385_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3385_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3385_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3386_0,axiom,
( c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3386]) ).
cnf(c_0_3386_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3386]) ).
cnf(c_0_3386_2,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3386]) ).
cnf(c_0_3386_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3386]) ).
cnf(c_0_3386_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3386]) ).
cnf(c_0_3386_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3386]) ).
cnf(c_0_3386_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3386]) ).
cnf(c_0_3387_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3387]) ).
cnf(c_0_3387_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3387]) ).
cnf(c_0_3387_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3387]) ).
cnf(c_0_3387_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3387]) ).
cnf(c_0_3387_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3387]) ).
cnf(c_0_3387_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3387]) ).
cnf(c_0_3387_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3387]) ).
cnf(c_0_3388_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3388]) ).
cnf(c_0_3388_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3388]) ).
cnf(c_0_3388_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3388]) ).
cnf(c_0_3388_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3388]) ).
cnf(c_0_3388_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3388]) ).
cnf(c_0_3388_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3388]) ).
cnf(c_0_3388_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3388]) ).
cnf(c_0_3389_0,axiom,
( c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3389]) ).
cnf(c_0_3389_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3389]) ).
cnf(c_0_3389_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3389]) ).
cnf(c_0_3389_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3389]) ).
cnf(c_0_3389_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3389]) ).
cnf(c_0_3389_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3389]) ).
cnf(c_0_3389_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3389]) ).
cnf(c_0_3390_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3390]) ).
cnf(c_0_3390_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3390]) ).
cnf(c_0_3390_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3390]) ).
cnf(c_0_3390_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3390]) ).
cnf(c_0_3390_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3390]) ).
cnf(c_0_3390_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3390]) ).
cnf(c_0_3390_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3390]) ).
cnf(c_0_3391_0,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3391]) ).
cnf(c_0_3391_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3391]) ).
cnf(c_0_3391_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3391]) ).
cnf(c_0_3391_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3391]) ).
cnf(c_0_3391_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3391]) ).
cnf(c_0_3391_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3391]) ).
cnf(c_0_3391_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3391]) ).
cnf(c_0_3392_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3392]) ).
cnf(c_0_3392_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3392]) ).
cnf(c_0_3393_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3393]) ).
cnf(c_0_3393_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3393]) ).
cnf(c_0_3393_2,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3393]) ).
cnf(c_0_3394_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3394]) ).
cnf(c_0_3394_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3394]) ).
cnf(c_0_3394_2,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X3),c_HOL_Oone__class_Oone(X3),X3),X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3394]) ).
cnf(c_0_3395_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3395]) ).
cnf(c_0_3395_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3395]) ).
cnf(c_0_3395_2,axiom,
( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3395]) ).
cnf(c_0_3395_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3395]) ).
cnf(c_0_3395_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3395]) ).
cnf(c_0_3395_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3395]) ).
cnf(c_0_3396_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3396]) ).
cnf(c_0_3396_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3396]) ).
cnf(c_0_3396_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3396]) ).
cnf(c_0_3396_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3396]) ).
cnf(c_0_3396_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3396]) ).
cnf(c_0_3397_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3397]) ).
cnf(c_0_3397_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3397]) ).
cnf(c_0_3397_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3397]) ).
cnf(c_0_3397_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3397]) ).
cnf(c_0_3397_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X1,X3),c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3397]) ).
cnf(c_0_3398_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3398]) ).
cnf(c_0_3398_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3398]) ).
cnf(c_0_3398_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3398]) ).
cnf(c_0_3398_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3398]) ).
cnf(c_0_3398_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_HOL_Otimes__class_Otimes(X2,X1,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3398]) ).
cnf(c_0_3399_0,axiom,
( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3399]) ).
cnf(c_0_3399_1,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3399]) ).
cnf(c_0_3399_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3399]) ).
cnf(c_0_3399_3,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3399]) ).
cnf(c_0_3399_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3399]) ).
cnf(c_0_3399_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3399]) ).
cnf(c_0_3400_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3400]) ).
cnf(c_0_3400_1,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3400]) ).
cnf(c_0_3400_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3400]) ).
cnf(c_0_3400_3,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3400]) ).
cnf(c_0_3400_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3400]) ).
cnf(c_0_3400_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3400]) ).
cnf(c_0_3401_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3401]) ).
cnf(c_0_3401_1,axiom,
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3401]) ).
cnf(c_0_3401_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3401]) ).
cnf(c_0_3401_3,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3401]) ).
cnf(c_0_3401_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3401]) ).
cnf(c_0_3401_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3401]) ).
cnf(c_0_3402_0,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3402]) ).
cnf(c_0_3402_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3402]) ).
cnf(c_0_3402_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3402]) ).
cnf(c_0_3402_3,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3402]) ).
cnf(c_0_3402_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3402]) ).
cnf(c_0_3402_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3402]) ).
cnf(c_0_3403_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3403]) ).
cnf(c_0_3403_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3403]) ).
cnf(c_0_3403_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3403]) ).
cnf(c_0_3403_3,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3403]) ).
cnf(c_0_3403_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3403]) ).
cnf(c_0_3403_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3403]) ).
cnf(c_0_3404_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3404]) ).
cnf(c_0_3404_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3404]) ).
cnf(c_0_3404_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3404]) ).
cnf(c_0_3404_3,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3404]) ).
cnf(c_0_3404_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3404]) ).
cnf(c_0_3404_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3404]) ).
cnf(c_0_3405_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3405]) ).
cnf(c_0_3405_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3405]) ).
cnf(c_0_3405_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3405]) ).
cnf(c_0_3405_3,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3405]) ).
cnf(c_0_3405_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3405]) ).
cnf(c_0_3405_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3405]) ).
cnf(c_0_3406_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3406]) ).
cnf(c_0_3406_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3406]) ).
cnf(c_0_3406_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3406]) ).
cnf(c_0_3406_3,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3406]) ).
cnf(c_0_3406_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3406]) ).
cnf(c_0_3406_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3406]) ).
cnf(c_0_3407_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3407]) ).
cnf(c_0_3407_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3407]) ).
cnf(c_0_3407_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3407]) ).
cnf(c_0_3407_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3407]) ).
cnf(c_0_3407_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3407]) ).
cnf(c_0_3407_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3407]) ).
cnf(c_0_3407_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3407]) ).
cnf(c_0_3408_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3408]) ).
cnf(c_0_3408_1,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3408]) ).
cnf(c_0_3408_2,axiom,
( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3408]) ).
cnf(c_0_3408_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3408]) ).
cnf(c_0_3408_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3408]) ).
cnf(c_0_3408_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3408]) ).
cnf(c_0_3408_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3408]) ).
cnf(c_0_3409_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3409]) ).
cnf(c_0_3409_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3409]) ).
cnf(c_0_3409_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3409]) ).
cnf(c_0_3409_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3409]) ).
cnf(c_0_3409_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3409]) ).
cnf(c_0_3409_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3409]) ).
cnf(c_0_3409_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X1),X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3409]) ).
cnf(c_0_3410_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3410]) ).
cnf(c_0_3410_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3410]) ).
cnf(c_0_3410_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3410]) ).
cnf(c_0_3410_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3410]) ).
cnf(c_0_3410_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3410]) ).
cnf(c_0_3410_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3410]) ).
cnf(c_0_3410_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X4,X1),c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3410]) ).
cnf(c_0_3411_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3411]) ).
cnf(c_0_3411_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3411]) ).
cnf(c_0_3412_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3412]) ).
cnf(c_0_3412_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3412]) ).
cnf(c_0_3412_2,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3412]) ).
cnf(c_0_3412_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3412]) ).
cnf(c_0_3412_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3412]) ).
cnf(c_0_3412_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3412]) ).
cnf(c_0_3412_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3412]) ).
cnf(c_0_3413_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3413]) ).
cnf(c_0_3413_1,axiom,
( c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3413]) ).
cnf(c_0_3413_2,axiom,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3413]) ).
cnf(c_0_3413_3,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3413]) ).
cnf(c_0_3413_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3413]) ).
cnf(c_0_3413_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3413]) ).
cnf(c_0_3413_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3413]) ).
cnf(c_0_3414_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3414]) ).
cnf(c_0_3414_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3414]) ).
cnf(c_0_3414_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3414]) ).
cnf(c_0_3414_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3414]) ).
cnf(c_0_3414_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3414]) ).
cnf(c_0_3414_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3414]) ).
cnf(c_0_3414_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3414]) ).
cnf(c_0_3415_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3415]) ).
cnf(c_0_3415_1,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3415]) ).
cnf(c_0_3415_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3415]) ).
cnf(c_0_3415_3,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3415]) ).
cnf(c_0_3415_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3415]) ).
cnf(c_0_3415_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3415]) ).
cnf(c_0_3415_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3415]) ).
cnf(c_0_3416_0,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3416]) ).
cnf(c_0_3416_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3416]) ).
cnf(c_0_3416_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3416]) ).
cnf(c_0_3416_3,axiom,
( ~ class_RealVector_Oreal__normed__algebra(X2)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3416]) ).
cnf(c_0_3417_0,axiom,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3417]) ).
cnf(c_0_3417_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3417]) ).
cnf(c_0_3417_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3417]) ).
cnf(c_0_3417_3,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X2),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),X3,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X4,X2),X2),c_HOL_Oplus__class_Oplus(X3,X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3417]) ).
cnf(c_0_3418_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_3418]) ).
cnf(c_0_3418_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_3418]) ).
cnf(c_0_3419_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_3419]) ).
cnf(c_0_3419_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_3419]) ).
cnf(c_0_3420_0,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3420]) ).
cnf(c_0_3420_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3420]) ).
cnf(c_0_3420_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3420]) ).
cnf(c_0_3420_3,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3420]) ).
cnf(c_0_3420_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3420]) ).
cnf(c_0_3420_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3420]) ).
cnf(c_0_3421_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3421]) ).
cnf(c_0_3421_1,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3421]) ).
cnf(c_0_3421_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3421]) ).
cnf(c_0_3421_3,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(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_3421]) ).
cnf(c_0_3421_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3421]) ).
cnf(c_0_3421_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3421]) ).
cnf(c_0_3422_0,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3422]) ).
cnf(c_0_3422_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3422]) ).
cnf(c_0_3422_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3422]) ).
cnf(c_0_3422_3,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3422]) ).
cnf(c_0_3422_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3422]) ).
cnf(c_0_3422_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X4,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3422]) ).
cnf(c_0_3423_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3423]) ).
cnf(c_0_3423_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3423]) ).
cnf(c_0_3423_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3423]) ).
cnf(c_0_3423_3,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(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_3423]) ).
cnf(c_0_3423_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3423]) ).
cnf(c_0_3423_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X2,X3),X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3423]) ).
cnf(c_0_3424_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3424]) ).
cnf(c_0_3424_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3424]) ).
cnf(c_0_3424_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3424]) ).
cnf(c_0_3424_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3424]) ).
cnf(c_0_3424_4,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3424]) ).
cnf(c_0_3424_5,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3424]) ).
cnf(c_0_3425_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3425]) ).
cnf(c_0_3425_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3425]) ).
cnf(c_0_3425_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3425]) ).
cnf(c_0_3425_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3425]) ).
cnf(c_0_3425_4,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Opordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3425]) ).
cnf(c_0_3425_5,axiom,
( ~ class_Ring__and__Field_Opordered__semiring(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3425]) ).
cnf(c_0_3426_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3426]) ).
cnf(c_0_3426_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3426]) ).
cnf(c_0_3426_2,axiom,
( ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3426]) ).
cnf(c_0_3426_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3426]) ).
cnf(c_0_3426_4,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3426]) ).
cnf(c_0_3426_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3426]) ).
cnf(c_0_3427_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3427]) ).
cnf(c_0_3427_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3427]) ).
cnf(c_0_3427_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3427]) ).
cnf(c_0_3427_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3427]) ).
cnf(c_0_3427_4,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3427]) ).
cnf(c_0_3427_5,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3427]) ).
cnf(c_0_3428_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3428]) ).
cnf(c_0_3428_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3428]) ).
cnf(c_0_3428_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3428]) ).
cnf(c_0_3428_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3428]) ).
cnf(c_0_3428_4,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3428]) ).
cnf(c_0_3428_5,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3428]) ).
cnf(c_0_3429_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3429]) ).
cnf(c_0_3429_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3429]) ).
cnf(c_0_3429_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3429]) ).
cnf(c_0_3429_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3429]) ).
cnf(c_0_3429_4,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3429]) ).
cnf(c_0_3429_5,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3429]) ).
cnf(c_0_3430_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3430]) ).
cnf(c_0_3430_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3430]) ).
cnf(c_0_3430_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3430]) ).
cnf(c_0_3430_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3430]) ).
cnf(c_0_3430_4,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3430]) ).
cnf(c_0_3430_5,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3430]) ).
cnf(c_0_3431_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3431]) ).
cnf(c_0_3431_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3431]) ).
cnf(c_0_3431_2,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3431]) ).
cnf(c_0_3431_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3431]) ).
cnf(c_0_3431_4,axiom,
( ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3431]) ).
cnf(c_0_3431_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3431]) ).
cnf(c_0_3432_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3432]) ).
cnf(c_0_3432_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3432]) ).
cnf(c_0_3432_2,axiom,
( ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3432]) ).
cnf(c_0_3432_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ c_lessequals(X4,X5,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3432]) ).
cnf(c_0_3432_4,axiom,
( ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3432]) ).
cnf(c_0_3432_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X4,X5,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X4,X1)
| ~ c_lessequals(X2,X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X5,X1),c_HOL_Oinverse__class_Odivide(X3,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3432]) ).
cnf(c_0_3433_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3433]) ).
cnf(c_0_3433_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3433]) ).
cnf(c_0_3433_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3433]) ).
cnf(c_0_3433_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X4,X2),X5,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X4,X2),X2),c_HOL_Otimes__class_Otimes(X3,X5,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3433]) ).
cnf(c_0_3434_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3434]) ).
cnf(c_0_3434_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3434]) ).
cnf(c_0_3434_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3434]) ).
cnf(c_0_3435_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3435]) ).
cnf(c_0_3435_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3435]) ).
cnf(c_0_3435_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X4,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3435]) ).
cnf(c_0_3436_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3436]) ).
cnf(c_0_3436_1,axiom,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3436]) ).
cnf(c_0_3436_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3436]) ).
cnf(c_0_3436_3,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3436]) ).
cnf(c_0_3436_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3436]) ).
cnf(c_0_3436_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3436]) ).
cnf(c_0_3437_0,axiom,
( c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3437]) ).
cnf(c_0_3437_1,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3437]) ).
cnf(c_0_3437_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3437]) ).
cnf(c_0_3437_3,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),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_3437]) ).
cnf(c_0_3437_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3437]) ).
cnf(c_0_3437_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3437]) ).
cnf(c_0_3438_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3438]) ).
cnf(c_0_3438_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3438]) ).
cnf(c_0_3438_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3438]) ).
cnf(c_0_3438_3,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3438]) ).
cnf(c_0_3438_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3438]) ).
cnf(c_0_3438_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3438]) ).
cnf(c_0_3439_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3439]) ).
cnf(c_0_3439_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3439]) ).
cnf(c_0_3439_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3439]) ).
cnf(c_0_3439_3,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),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_3439]) ).
cnf(c_0_3439_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3439]) ).
cnf(c_0_3439_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X3),X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3439]) ).
cnf(c_0_3440_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3440]) ).
cnf(c_0_3440_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3440]) ).
cnf(c_0_3440_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Otan(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3440]) ).
cnf(c_0_3441_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3441]) ).
cnf(c_0_3441_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3441]) ).
cnf(c_0_3441_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Osin(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3441]) ).
cnf(c_0_3442_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3442]) ).
cnf(c_0_3442_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3442]) ).
cnf(c_0_3442_2,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X3,X2),c_HOL_Otimes__class_Otimes(X1,X1,X2),X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3442]) ).
cnf(c_0_3443_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3443]) ).
cnf(c_0_3443_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3443]) ).
cnf(c_0_3443_2,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Otimes__class_Otimes(X3,X3,X2),X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3443]) ).
cnf(c_0_3444_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3444]) ).
cnf(c_0_3444_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,X1),c_HOL_Otimes__class_Otimes(X3,X3,X1),X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3444]) ).
cnf(c_0_3445_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3445]) ).
cnf(c_0_3445_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3445]) ).
cnf(c_0_3445_2,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3445]) ).
cnf(c_0_3445_3,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3445]) ).
cnf(c_0_3445_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(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_3445]) ).
cnf(c_0_3445_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3445]) ).
cnf(c_0_3445_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3445]) ).
cnf(c_0_3446_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3446]) ).
cnf(c_0_3446_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3446]) ).
cnf(c_0_3446_2,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3446]) ).
cnf(c_0_3446_3,axiom,
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3446]) ).
cnf(c_0_3446_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3446]) ).
cnf(c_0_3446_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3446]) ).
cnf(c_0_3446_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3446]) ).
cnf(c_0_3447_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3447]) ).
cnf(c_0_3447_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3447]) ).
cnf(c_0_3447_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3447]) ).
cnf(c_0_3447_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3447]) ).
cnf(c_0_3447_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(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_3447]) ).
cnf(c_0_3447_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3447]) ).
cnf(c_0_3447_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3447]) ).
cnf(c_0_3448_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3448]) ).
cnf(c_0_3448_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3448]) ).
cnf(c_0_3448_2,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3448]) ).
cnf(c_0_3448_3,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Int_Onumber(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3448]) ).
cnf(c_0_3448_4,axiom,
( ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3448]) ).
cnf(c_0_3448_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3448]) ).
cnf(c_0_3448_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Int_Onumber(X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X4),X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X4),c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),c_Int_Onumber__class_Onumber__of(X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3448]) ).
cnf(c_0_3449_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3449]) ).
cnf(c_0_3449_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3449]) ).
cnf(c_0_3449_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3449]) ).
cnf(c_0_3449_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3449]) ).
cnf(c_0_3449_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3449]) ).
cnf(c_0_3449_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3449]) ).
cnf(c_0_3450_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3450]) ).
cnf(c_0_3450_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3450]) ).
cnf(c_0_3450_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3450]) ).
cnf(c_0_3450_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3450]) ).
cnf(c_0_3450_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3450]) ).
cnf(c_0_3450_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3450]) ).
cnf(c_0_3451_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3451]) ).
cnf(c_0_3451_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3451]) ).
cnf(c_0_3451_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3451]) ).
cnf(c_0_3451_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3451]) ).
cnf(c_0_3451_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3451]) ).
cnf(c_0_3451_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3451]) ).
cnf(c_0_3452_0,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3452]) ).
cnf(c_0_3452_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3452]) ).
cnf(c_0_3452_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3452]) ).
cnf(c_0_3452_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3452]) ).
cnf(c_0_3452_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3452]) ).
cnf(c_0_3452_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3452]) ).
cnf(c_0_3453_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3453]) ).
cnf(c_0_3453_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3453]) ).
cnf(c_0_3453_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3453]) ).
cnf(c_0_3453_3,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3453]) ).
cnf(c_0_3453_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3453]) ).
cnf(c_0_3453_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3453]) ).
cnf(c_0_3454_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3454]) ).
cnf(c_0_3454_1,axiom,
( c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3454]) ).
cnf(c_0_3454_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3454]) ).
cnf(c_0_3454_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3454]) ).
cnf(c_0_3454_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3454]) ).
cnf(c_0_3454_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3454]) ).
cnf(c_0_3455_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3455]) ).
cnf(c_0_3455_1,axiom,
( c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3455]) ).
cnf(c_0_3455_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3455]) ).
cnf(c_0_3455_3,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3455]) ).
cnf(c_0_3455_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3455]) ).
cnf(c_0_3455_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3455]) ).
cnf(c_0_3456_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3456]) ).
cnf(c_0_3456_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3456]) ).
cnf(c_0_3456_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3456]) ).
cnf(c_0_3456_3,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3456]) ).
cnf(c_0_3456_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3456]) ).
cnf(c_0_3456_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3456]) ).
cnf(c_0_3457_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3457]) ).
cnf(c_0_3457_1,axiom,
( c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3457]) ).
cnf(c_0_3457_2,axiom,
( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3457]) ).
cnf(c_0_3457_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3457]) ).
cnf(c_0_3457_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3457]) ).
cnf(c_0_3457_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3457]) ).
cnf(c_0_3458_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3458]) ).
cnf(c_0_3458_1,axiom,
( c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3458]) ).
cnf(c_0_3458_2,axiom,
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3458]) ).
cnf(c_0_3458_3,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3458]) ).
cnf(c_0_3458_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3458]) ).
cnf(c_0_3458_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(X2,c_HOL_Otimes__class_Otimes(X1,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3458]) ).
cnf(c_0_3459_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3459]) ).
cnf(c_0_3459_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3459]) ).
cnf(c_0_3459_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3459]) ).
cnf(c_0_3459_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3459]) ).
cnf(c_0_3459_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3459]) ).
cnf(c_0_3459_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3459]) ).
cnf(c_0_3460_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3460]) ).
cnf(c_0_3460_1,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3460]) ).
cnf(c_0_3460_2,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3460]) ).
cnf(c_0_3460_3,axiom,
( ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3460]) ).
cnf(c_0_3460_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3460]) ).
cnf(c_0_3460_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3460]) ).
cnf(c_0_3461_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3461]) ).
cnf(c_0_3461_1,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3461]) ).
cnf(c_0_3461_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3461]) ).
cnf(c_0_3461_3,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3461]) ).
cnf(c_0_3461_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3461]) ).
cnf(c_0_3461_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3461]) ).
cnf(c_0_3462_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3462]) ).
cnf(c_0_3462_1,axiom,
( c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3462]) ).
cnf(c_0_3462_2,axiom,
( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3462]) ).
cnf(c_0_3462_3,axiom,
( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3462]) ).
cnf(c_0_3462_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3462]) ).
cnf(c_0_3462_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| c_lessequals(X4,c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3462]) ).
cnf(c_0_3463_0,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3463]) ).
cnf(c_0_3463_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3463]) ).
cnf(c_0_3463_2,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3463]) ).
cnf(c_0_3463_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3463]) ).
cnf(c_0_3463_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3463]) ).
cnf(c_0_3463_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3463]) ).
cnf(c_0_3464_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3464]) ).
cnf(c_0_3464_1,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3464]) ).
cnf(c_0_3464_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3464]) ).
cnf(c_0_3464_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3464]) ).
cnf(c_0_3464_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3464]) ).
cnf(c_0_3464_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3464]) ).
cnf(c_0_3465_0,axiom,
( c_HOL_Oord__class_Oless(X4,X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3465]) ).
cnf(c_0_3465_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3465]) ).
cnf(c_0_3465_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,X3,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3465]) ).
cnf(c_0_3465_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3465]) ).
cnf(c_0_3466_0,axiom,
( c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3466]) ).
cnf(c_0_3466_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3466]) ).
cnf(c_0_3466_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3466]) ).
cnf(c_0_3466_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3466]) ).
cnf(c_0_3467_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3467]) ).
cnf(c_0_3467_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3467]) ).
cnf(c_0_3467_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3467]) ).
cnf(c_0_3467_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3467]) ).
cnf(c_0_3468_0,axiom,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3468]) ).
cnf(c_0_3468_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3468]) ).
cnf(c_0_3468_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3468]) ).
cnf(c_0_3468_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3468]) ).
cnf(c_0_3469_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3469]) ).
cnf(c_0_3469_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3469]) ).
cnf(c_0_3469_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3469]) ).
cnf(c_0_3469_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3469]) ).
cnf(c_0_3470_0,axiom,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3470]) ).
cnf(c_0_3470_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3470]) ).
cnf(c_0_3470_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3470]) ).
cnf(c_0_3470_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3470]) ).
cnf(c_0_3471_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3471]) ).
cnf(c_0_3471_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_lessequals(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3471]) ).
cnf(c_0_3471_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_lessequals(X1,X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3471]) ).
cnf(c_0_3471_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3471]) ).
cnf(c_0_3472_0,axiom,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3472]) ).
cnf(c_0_3472_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_lessequals(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3472]) ).
cnf(c_0_3472_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_lessequals(X2,X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3472]) ).
cnf(c_0_3472_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_lessequals(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3472]) ).
cnf(c_0_3473_0,axiom,
( c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3473]) ).
cnf(c_0_3473_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3473]) ).
cnf(c_0_3473_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3473]) ).
cnf(c_0_3473_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3473]) ).
cnf(c_0_3474_0,axiom,
( c_lessequals(X4,X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3474]) ).
cnf(c_0_3474_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X4,X3,X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3474]) ).
cnf(c_0_3474_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X4,X3,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3474]) ).
cnf(c_0_3474_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X4,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3474]) ).
cnf(c_0_3475_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3475]) ).
cnf(c_0_3475_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3475]) ).
cnf(c_0_3476_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3476]) ).
cnf(c_0_3476_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3476]) ).
cnf(c_0_3477_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Osemiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3477]) ).
cnf(c_0_3477_1,axiom,
( ~ class_Int_Onumber(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Ring__and__Field_Osemiring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3477]) ).
cnf(c_0_3477_2,axiom,
( ~ class_Ring__and__Field_Osemiring(X3)
| ~ class_Int_Onumber(X3)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3477]) ).
cnf(c_0_3478_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Osemiring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3478]) ).
cnf(c_0_3478_1,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2)
| ~ class_Ring__and__Field_Osemiring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3478]) ).
cnf(c_0_3478_2,axiom,
( ~ class_Ring__and__Field_Osemiring(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oplus__class_Oplus(X3,X4,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3478]) ).
cnf(c_0_3479_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Oring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3479]) ).
cnf(c_0_3479_1,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2)
| ~ class_Ring__and__Field_Oring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3479]) ).
cnf(c_0_3479_2,axiom,
( ~ class_Ring__and__Field_Oring(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ominus__class_Ominus(X3,X4,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3479]) ).
cnf(c_0_3480_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Oring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3480]) ).
cnf(c_0_3480_1,axiom,
( ~ class_Int_Onumber(X3)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Ring__and__Field_Oring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3480]) ).
cnf(c_0_3480_2,axiom,
( ~ class_Ring__and__Field_Oring(X3)
| ~ class_Int_Onumber(X3)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(X4,X3),X3),c_HOL_Otimes__class_Otimes(X2,c_Int_Onumber__class_Onumber__of(X4,X3),X3),X3) = c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3480]) ).
cnf(c_0_3481_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_3481]) ).
cnf(c_0_3481_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_3481]) ).
cnf(c_0_3481_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_3481]) ).
cnf(c_0_3481_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_3481]) ).
cnf(c_0_3482_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_3482]) ).
cnf(c_0_3482_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_3482]) ).
cnf(c_0_3482_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_3482]) ).
cnf(c_0_3482_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_3482]) ).
cnf(c_0_3483_0,axiom,
( c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3483]) ).
cnf(c_0_3483_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3483]) ).
cnf(c_0_3483_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3483]) ).
cnf(c_0_3484_0,axiom,
( c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3484]) ).
cnf(c_0_3484_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3484]) ).
cnf(c_0_3484_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3484]) ).
cnf(c_0_3485_0,axiom,
( c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3485]) ).
cnf(c_0_3485_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3485]) ).
cnf(c_0_3485_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3485]) ).
cnf(c_0_3486_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3486]) ).
cnf(c_0_3486_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3486]) ).
cnf(c_0_3486_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3486]) ).
cnf(c_0_3486_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3486]) ).
cnf(c_0_3487_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3487]) ).
cnf(c_0_3487_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3487]) ).
cnf(c_0_3487_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3487]) ).
cnf(c_0_3487_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3487]) ).
cnf(c_0_3488_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_3488]) ).
cnf(c_0_3488_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_3488]) ).
cnf(c_0_3488_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_3488]) ).
cnf(c_0_3489_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_3489]) ).
cnf(c_0_3489_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_3489]) ).
cnf(c_0_3489_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_3489]) ).
cnf(c_0_3490_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3490]) ).
cnf(c_0_3490_1,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3490]) ).
cnf(c_0_3490_2,axiom,
( ~ class_Ring__and__Field_Ofield(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Oinverse__class_Odivide(X4,X5,X3),X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3490]) ).
cnf(c_0_3491_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3491]) ).
cnf(c_0_3491_1,axiom,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3491]) ).
cnf(c_0_3491_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3491]) ).
cnf(c_0_3491_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3491]) ).
cnf(c_0_3492_0,axiom,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3492_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3492_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3492_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3493_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3493]) ).
cnf(c_0_3493_1,axiom,
( c_HOL_Oord__class_Oless(X4,X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3493]) ).
cnf(c_0_3493_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3493]) ).
cnf(c_0_3493_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3493]) ).
cnf(c_0_3494_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3494]) ).
cnf(c_0_3494_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3494]) ).
cnf(c_0_3494_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3494]) ).
cnf(c_0_3494_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3494]) ).
cnf(c_0_3495_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_3495]) ).
cnf(c_0_3495_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_3495]) ).
cnf(c_0_3496_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_3496]) ).
cnf(c_0_3496_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_3496]) ).
cnf(c_0_3497_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_3497]) ).
cnf(c_0_3497_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_3497]) ).
cnf(c_0_3498_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3498]) ).
cnf(c_0_3498_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3498]) ).
cnf(c_0_3499_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3499]) ).
cnf(c_0_3499_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3499]) ).
cnf(c_0_3500_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3500]) ).
cnf(c_0_3500_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3500]) ).
cnf(c_0_3500_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3500]) ).
cnf(c_0_3501_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3501]) ).
cnf(c_0_3501_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3501]) ).
cnf(c_0_3501_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3501]) ).
cnf(c_0_3502_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3502]) ).
cnf(c_0_3502_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3502]) ).
cnf(c_0_3502_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(c_Transcendental_Opi,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Otan(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3502]) ).
cnf(c_0_3503_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3503]) ).
cnf(c_0_3503_1,axiom,
( c_HOL_Oord__class_Oless(X4,X1,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3503]) ).
cnf(c_0_3503_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3503]) ).
cnf(c_0_3503_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X4,X1,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3503]) ).
cnf(c_0_3504_0,axiom,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3504]) ).
cnf(c_0_3504_1,axiom,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3504]) ).
cnf(c_0_3504_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3504]) ).
cnf(c_0_3504_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3504]) ).
cnf(c_0_3505_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_3505]) ).
cnf(c_0_3505_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_3505]) ).
cnf(c_0_3505_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_3505]) ).
cnf(c_0_3505_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_3505]) ).
cnf(c_0_3505_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_3505]) ).
cnf(c_0_3506_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3506]) ).
cnf(c_0_3506_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3506]) ).
cnf(c_0_3506_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3506]) ).
cnf(c_0_3506_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3506]) ).
cnf(c_0_3506_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3506]) ).
cnf(c_0_3507_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3507]) ).
cnf(c_0_3507_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3507]) ).
cnf(c_0_3507_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3507]) ).
cnf(c_0_3507_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3507]) ).
cnf(c_0_3507_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3507]) ).
cnf(c_0_3508_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3508]) ).
cnf(c_0_3508_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3508]) ).
cnf(c_0_3508_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3508]) ).
cnf(c_0_3508_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3508]) ).
cnf(c_0_3508_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3508]) ).
cnf(c_0_3509_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3509]) ).
cnf(c_0_3509_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3509]) ).
cnf(c_0_3509_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3509]) ).
cnf(c_0_3509_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3509]) ).
cnf(c_0_3509_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3509]) ).
cnf(c_0_3510_0,axiom,
( c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3510]) ).
cnf(c_0_3510_1,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3510]) ).
cnf(c_0_3510_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3510]) ).
cnf(c_0_3510_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3510]) ).
cnf(c_0_3510_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3510]) ).
cnf(c_0_3511_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3511]) ).
cnf(c_0_3511_1,axiom,
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3511]) ).
cnf(c_0_3511_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3511]) ).
cnf(c_0_3511_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3511]) ).
cnf(c_0_3511_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3511]) ).
cnf(c_0_3512_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3512]) ).
cnf(c_0_3512_1,axiom,
( ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3512]) ).
cnf(c_0_3512_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3512]) ).
cnf(c_0_3512_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3512]) ).
cnf(c_0_3512_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X1,c_HOL_Otimes__class_Otimes(X2,X3,X4),X4)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X4),X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3512]) ).
cnf(c_0_3513_0,axiom,
( c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3513]) ).
cnf(c_0_3513_1,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3513]) ).
cnf(c_0_3513_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3513]) ).
cnf(c_0_3513_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3513]) ).
cnf(c_0_3513_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3513]) ).
cnf(c_0_3514_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3514]) ).
cnf(c_0_3514_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3514]) ).
cnf(c_0_3514_2,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3514]) ).
cnf(c_0_3514_3,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3514]) ).
cnf(c_0_3514_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3514]) ).
cnf(c_0_3514_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3514]) ).
cnf(c_0_3514_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3514]) ).
cnf(c_0_3515_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3515]) ).
cnf(c_0_3515_1,axiom,
( c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3515]) ).
cnf(c_0_3515_2,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3515]) ).
cnf(c_0_3515_3,axiom,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3515]) ).
cnf(c_0_3515_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3515]) ).
cnf(c_0_3515_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3515]) ).
cnf(c_0_3515_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3515]) ).
cnf(c_0_3516_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3516]) ).
cnf(c_0_3516_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3516]) ).
cnf(c_0_3516_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3516]) ).
cnf(c_0_3516_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3516]) ).
cnf(c_0_3516_4,axiom,
( ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3516]) ).
cnf(c_0_3516_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3516]) ).
cnf(c_0_3516_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),c_Int_Onumber__class_Onumber__of(X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3516]) ).
cnf(c_0_3517_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3517]) ).
cnf(c_0_3517_1,axiom,
( c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3517]) ).
cnf(c_0_3517_2,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3517]) ).
cnf(c_0_3517_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3517]) ).
cnf(c_0_3517_4,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3517]) ).
cnf(c_0_3517_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3517]) ).
cnf(c_0_3517_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Oinverse__class_Odivide(X3,X4,X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X4,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3517]) ).
cnf(c_0_3518_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3518]) ).
cnf(c_0_3518_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3518]) ).
cnf(c_0_3518_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3518]) ).
cnf(c_0_3518_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3518]) ).
cnf(c_0_3519_0,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3519]) ).
cnf(c_0_3519_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3519]) ).
cnf(c_0_3519_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3519]) ).
cnf(c_0_3519_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3519]) ).
cnf(c_0_3520_0,axiom,
( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3520]) ).
cnf(c_0_3520_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3520]) ).
cnf(c_0_3520_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3520]) ).
cnf(c_0_3520_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3520]) ).
cnf(c_0_3521_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3521]) ).
cnf(c_0_3521_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3521]) ).
cnf(c_0_3521_2,axiom,
( ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3521]) ).
cnf(c_0_3521_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_lessequals(X3,c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X4,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3521]) ).
cnf(c_0_3522_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_Ring__and__Field_Olordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3522]) ).
cnf(c_0_3522_1,axiom,
( ~ class_Ring__and__Field_Olordered__ring(X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3522]) ).
cnf(c_0_3523_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3523]) ).
cnf(c_0_3523_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3523]) ).
cnf(c_0_3524_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3524]) ).
cnf(c_0_3524_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3524]) ).
cnf(c_0_3525_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3525]) ).
cnf(c_0_3525_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X1,X3),c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3525]) ).
cnf(c_0_3526_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| ~ c_lessequals(X3,X5,X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3526]) ).
cnf(c_0_3526_1,axiom,
( ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ c_lessequals(X3,X5,X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3526]) ).
cnf(c_0_3526_2,axiom,
( ~ c_lessequals(X3,X5,X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4)
| ~ class_OrderedGroup_Opordered__ab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3526]) ).
cnf(c_0_3526_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X4)
| ~ c_lessequals(X3,X5,X4)
| ~ c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X2,X5,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3526]) ).
cnf(c_0_3527_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3527]) ).
cnf(c_0_3527_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X3)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3527]) ).
cnf(c_0_3528_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3528]) ).
cnf(c_0_3528_1,axiom,
( ~ class_RealVector_Oreal__normed__algebra(X3)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3528]) ).
cnf(c_0_3529_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3529]) ).
cnf(c_0_3529_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X3,X2),X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3529]) ).
cnf(c_0_3530_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3530]) ).
cnf(c_0_3530_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X3)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3530]) ).
cnf(c_0_3531_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3531]) ).
cnf(c_0_3531_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X1,X2),c_RealVector_Onorm__class_Onorm(X3,X2),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3531]) ).
cnf(c_0_3532_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3532]) ).
cnf(c_0_3532_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3532]) ).
cnf(c_0_3532_2,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3532]) ).
cnf(c_0_3532_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3532]) ).
cnf(c_0_3532_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3532]) ).
cnf(c_0_3532_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3532]) ).
cnf(c_0_3532_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3532]) ).
cnf(c_0_3533_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3533]) ).
cnf(c_0_3533_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3533]) ).
cnf(c_0_3533_2,axiom,
( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3533]) ).
cnf(c_0_3533_3,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3533]) ).
cnf(c_0_3533_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3533]) ).
cnf(c_0_3533_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3533]) ).
cnf(c_0_3533_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3533]) ).
cnf(c_0_3534_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3534]) ).
cnf(c_0_3534_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3534]) ).
cnf(c_0_3534_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3534]) ).
cnf(c_0_3534_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3534]) ).
cnf(c_0_3534_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3534]) ).
cnf(c_0_3534_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3534]) ).
cnf(c_0_3534_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X3,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3534]) ).
cnf(c_0_3535_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3535]) ).
cnf(c_0_3535_1,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3535]) ).
cnf(c_0_3535_2,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3535]) ).
cnf(c_0_3535_3,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3535]) ).
cnf(c_0_3535_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3535]) ).
cnf(c_0_3535_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3535]) ).
cnf(c_0_3535_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,c_Int_Onumber__class_Onumber__of(X2,X1),X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3535]) ).
cnf(c_0_3536_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3536]) ).
cnf(c_0_3536_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3536]) ).
cnf(c_0_3536_2,axiom,
( ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3536]) ).
cnf(c_0_3536_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3536]) ).
cnf(c_0_3536_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3536]) ).
cnf(c_0_3537_0,axiom,
( X1 = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3537]) ).
cnf(c_0_3537_1,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) != c_HOL_Oinverse__class_Odivide(X2,X3,tc_RealDef_Oreal)
| X1 = c_HOL_Oinverse__class_Odivide(X2,c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3537]) ).
cnf(c_0_3538_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3538]) ).
cnf(c_0_3538_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| c_lessequals(X1,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3538]) ).
cnf(c_0_3538_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3538]) ).
cnf(c_0_3539_0,axiom,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3539]) ).
cnf(c_0_3539_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| c_lessequals(X2,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3539]) ).
cnf(c_0_3539_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| c_lessequals(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3539]) ).
cnf(c_0_3540_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3540]) ).
cnf(c_0_3540_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3540]) ).
cnf(c_0_3540_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3540]) ).
cnf(c_0_3541_0,axiom,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3541]) ).
cnf(c_0_3541_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3541]) ).
cnf(c_0_3541_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X1,X4,X3),X3)
| c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3541]) ).
cnf(c_0_3542_0,axiom,
( c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3542]) ).
cnf(c_0_3542_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3542]) ).
cnf(c_0_3542_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
| c_lessequals(X1,c_HOL_Oplus__class_Oplus(X4,c_HOL_Oabs__class_Oabs(X2,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3542]) ).
cnf(c_0_3543_0,axiom,
( c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3543]) ).
cnf(c_0_3543_1,axiom,
( c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3543]) ).
cnf(c_0_3543_2,axiom,
( c_HOL_Oinverse__class_Odivide(c_Transcendental_Osin(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal)),c_HOL_Otimes__class_Otimes(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal),tc_RealDef_Oreal) = c_HOL_Oplus__class_Oplus(c_Transcendental_Otan(X1),c_Transcendental_Otan(X2),tc_RealDef_Oreal)
| c_Transcendental_Ocos(X2) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_Transcendental_Ocos(X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3543]) ).
cnf(c_0_3544_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3544]) ).
cnf(c_0_3544_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3544]) ).
cnf(c_0_3544_2,axiom,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(X3)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3544]) ).
cnf(c_0_3544_3,axiom,
( ~ class_RealVector_Oreal__normed__vector(X3)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,X3),c_HOL_Otimes__class_Otimes(X1,c_RealVector_Onorm__class_Onorm(X4,X3),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3544]) ).
cnf(c_0_3545_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3545]) ).
cnf(c_0_3545_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3545]) ).
cnf(c_0_3545_2,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3545]) ).
cnf(c_0_3545_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3545]) ).
cnf(c_0_3545_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3545]) ).
cnf(c_0_3545_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3545]) ).
cnf(c_0_3545_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3545]) ).
cnf(c_0_3546_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3546]) ).
cnf(c_0_3546_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3546]) ).
cnf(c_0_3546_2,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3546]) ).
cnf(c_0_3546_3,axiom,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3546]) ).
cnf(c_0_3546_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3546]) ).
cnf(c_0_3546_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3546]) ).
cnf(c_0_3546_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3546]) ).
cnf(c_0_3547_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3547]) ).
cnf(c_0_3547_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3547]) ).
cnf(c_0_3547_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3547]) ).
cnf(c_0_3547_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3547]) ).
cnf(c_0_3547_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3547]) ).
cnf(c_0_3547_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3547]) ).
cnf(c_0_3547_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),c_Int_Onumber__class_Onumber__of(X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3547]) ).
cnf(c_0_3548_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3548]) ).
cnf(c_0_3548_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3548]) ).
cnf(c_0_3548_2,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3548]) ).
cnf(c_0_3548_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3548]) ).
cnf(c_0_3548_4,axiom,
( ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3548]) ).
cnf(c_0_3548_5,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3548]) ).
cnf(c_0_3548_6,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X1),c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3548]) ).
cnf(c_0_3549_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3549]) ).
cnf(c_0_3549_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3549]) ).
cnf(c_0_3549_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3549]) ).
cnf(c_0_3549_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3549]) ).
cnf(c_0_3549_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3549]) ).
cnf(c_0_3550_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3550]) ).
cnf(c_0_3550_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3550]) ).
cnf(c_0_3550_2,axiom,
( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3550]) ).
cnf(c_0_3550_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3550]) ).
cnf(c_0_3550_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3550]) ).
cnf(c_0_3551_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3551]) ).
cnf(c_0_3551_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3551]) ).
cnf(c_0_3551_2,axiom,
( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3551]) ).
cnf(c_0_3551_3,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3551]) ).
cnf(c_0_3552_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3552]) ).
cnf(c_0_3552_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3552]) ).
cnf(c_0_3552_2,axiom,
( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ class_Ring__and__Field_Opordered__ring(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3552]) ).
cnf(c_0_3552_3,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X3)
| ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3552]) ).
cnf(c_0_3553_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3553]) ).
cnf(c_0_3553_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3553]) ).
cnf(c_0_3553_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3553]) ).
cnf(c_0_3553_3,axiom,
( ~ class_Ring__and__Field_Omult__mono(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3553]) ).
cnf(c_0_3554_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3554]) ).
cnf(c_0_3554_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3554]) ).
cnf(c_0_3554_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Omult__mono(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3554]) ).
cnf(c_0_3554_3,axiom,
( ~ class_Ring__and__Field_Omult__mono(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3554]) ).
cnf(c_0_3555_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3555]) ).
cnf(c_0_3555_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Omult__mono1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3555]) ).
cnf(c_0_3555_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Omult__mono1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3555]) ).
cnf(c_0_3555_3,axiom,
( ~ class_Ring__and__Field_Omult__mono1(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3555]) ).
cnf(c_0_3556_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3556]) ).
cnf(c_0_3556_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3556]) ).
cnf(c_0_3556_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3556]) ).
cnf(c_0_3556_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3556]) ).
cnf(c_0_3557_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3557]) ).
cnf(c_0_3557_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3557]) ).
cnf(c_0_3557_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3557]) ).
cnf(c_0_3557_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3557]) ).
cnf(c_0_3558_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3558]) ).
cnf(c_0_3558_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3558]) ).
cnf(c_0_3558_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3558]) ).
cnf(c_0_3558_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X2,X3),c_HOL_Otimes__class_Otimes(X4,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3558]) ).
cnf(c_0_3559_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3559]) ).
cnf(c_0_3559_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3559]) ).
cnf(c_0_3559_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3559]) ).
cnf(c_0_3559_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3559]) ).
cnf(c_0_3560_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3560]) ).
cnf(c_0_3560_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3560]) ).
cnf(c_0_3560_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3560]) ).
cnf(c_0_3560_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3560]) ).
cnf(c_0_3561_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3561]) ).
cnf(c_0_3561_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3561]) ).
cnf(c_0_3561_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3561]) ).
cnf(c_0_3561_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3561]) ).
cnf(c_0_3562_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3562]) ).
cnf(c_0_3562_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3562]) ).
cnf(c_0_3562_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3562]) ).
cnf(c_0_3562_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X4,X3),c_HOL_Otimes__class_Otimes(X1,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3562]) ).
cnf(c_0_3563_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3563]) ).
cnf(c_0_3563_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3563]) ).
cnf(c_0_3563_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3563]) ).
cnf(c_0_3563_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X4,X3),c_HOL_Otimes__class_Otimes(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3563]) ).
cnf(c_0_3564_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3564]) ).
cnf(c_0_3564_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3564]) ).
cnf(c_0_3564_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3564]) ).
cnf(c_0_3564_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Otimes__class_Otimes(X4,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3564]) ).
cnf(c_0_3565_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3565]) ).
cnf(c_0_3565_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3565]) ).
cnf(c_0_3565_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3565]) ).
cnf(c_0_3565_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_HOL_Oord__class_Oless(X3,X4,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3565]) ).
cnf(c_0_3566_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3566]) ).
cnf(c_0_3566_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3566]) ).
cnf(c_0_3566_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3566]) ).
cnf(c_0_3566_3,axiom,
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X3),c_HOL_Otimes__class_Otimes(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3566]) ).
cnf(c_0_3567_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3567]) ).
cnf(c_0_3567_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3567]) ).
cnf(c_0_3567_2,axiom,
( ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3567]) ).
cnf(c_0_3567_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Otimes__class_Otimes(X2,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3567]) ).
cnf(c_0_3568_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3568]) ).
cnf(c_0_3568_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X3,X4,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3568]) ).
cnf(c_0_3568_2,axiom,
( ~ c_lessequals(X3,X4,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3568]) ).
cnf(c_0_3568_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_lessequals(X3,X4,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X4,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3568]) ).
cnf(c_0_3569_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3569]) ).
cnf(c_0_3569_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3569]) ).
cnf(c_0_3569_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3569]) ).
cnf(c_0_3569_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X4,X3),c_HOL_Oinverse__class_Odivide(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3569]) ).
cnf(c_0_3570_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3570]) ).
cnf(c_0_3570_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3570]) ).
cnf(c_0_3570_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3570]) ).
cnf(c_0_3570_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X4,X3),c_HOL_Oinverse__class_Odivide(X1,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3570]) ).
cnf(c_0_3571_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3571]) ).
cnf(c_0_3571_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3571]) ).
cnf(c_0_3571_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3571]) ).
cnf(c_0_3571_3,axiom,
( ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3571]) ).
cnf(c_0_3571_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3571]) ).
cnf(c_0_3572_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3572]) ).
cnf(c_0_3572_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3572]) ).
cnf(c_0_3572_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3572]) ).
cnf(c_0_3572_3,axiom,
( ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3572]) ).
cnf(c_0_3572_4,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(X3,c_HOL_Oone__class_Oone(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3572]) ).
cnf(c_0_3573_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3573]) ).
cnf(c_0_3573_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3573]) ).
cnf(c_0_3573_2,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3573]) ).
cnf(c_0_3573_3,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3573]) ).
cnf(c_0_3573_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3573]) ).
cnf(c_0_3573_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3573]) ).
cnf(c_0_3574_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3574]) ).
cnf(c_0_3574_1,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3574]) ).
cnf(c_0_3574_2,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3574]) ).
cnf(c_0_3574_3,axiom,
( ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3574]) ).
cnf(c_0_3574_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3574]) ).
cnf(c_0_3574_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_lessequals(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3574]) ).
cnf(c_0_3575_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3575]) ).
cnf(c_0_3575_1,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3575]) ).
cnf(c_0_3575_2,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3575]) ).
cnf(c_0_3575_3,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3575]) ).
cnf(c_0_3575_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4)
| ~ class_Ring__and__Field_Oordered__field(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3575]) ).
cnf(c_0_3575_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X4)
| ~ class_Ring__and__Field_Odivision__by__zero(X4)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oinverse__class_Odivide(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X4),X4)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3575]) ).
cnf(c_0_3576_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3576]) ).
cnf(c_0_3576_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3576]) ).
cnf(c_0_3576_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3576]) ).
cnf(c_0_3576_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3576]) ).
cnf(c_0_3576_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3576]) ).
cnf(c_0_3576_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3576]) ).
cnf(c_0_3577_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3577]) ).
cnf(c_0_3577_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3577]) ).
cnf(c_0_3577_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3577]) ).
cnf(c_0_3577_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3577]) ).
cnf(c_0_3578_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3578]) ).
cnf(c_0_3578_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3578]) ).
cnf(c_0_3578_2,axiom,
( ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3578]) ).
cnf(c_0_3578_3,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_lessequals(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3578]) ).
cnf(c_0_3579_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3579]) ).
cnf(c_0_3579_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3579]) ).
cnf(c_0_3579_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3579]) ).
cnf(c_0_3579_3,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3579]) ).
cnf(c_0_3580_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3580]) ).
cnf(c_0_3580_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3580]) ).
cnf(c_0_3580_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3580]) ).
cnf(c_0_3580_3,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3580]) ).
cnf(c_0_3581_0,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3581]) ).
cnf(c_0_3581_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3581]) ).
cnf(c_0_3581_2,axiom,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,c_HOL_Oabs__class_Oabs(X3,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| X2 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3581]) ).
cnf(c_0_3582_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3582]) ).
cnf(c_0_3582_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,c_NthRoot_Osqrt(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal)),tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3582]) ).
cnf(c_0_3583_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_3583]) ).
cnf(c_0_3583_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_3583]) ).
cnf(c_0_3583_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_3583]) ).
cnf(c_0_3584_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_3584]) ).
cnf(c_0_3584_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_3584]) ).
cnf(c_0_3584_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_3584]) ).
cnf(c_0_3585_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_3585]) ).
cnf(c_0_3585_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_3585]) ).
cnf(c_0_3586_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_3586]) ).
cnf(c_0_3586_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_3586]) ).
cnf(c_0_3587_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_3587]) ).
cnf(c_0_3587_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_3587]) ).
cnf(c_0_3588_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_3588]) ).
cnf(c_0_3588_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_3588]) ).
cnf(c_0_3589_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_3589]) ).
cnf(c_0_3589_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_3589]) ).
cnf(c_0_3590_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_3590]) ).
cnf(c_0_3590_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_3590]) ).
cnf(c_0_3591_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_3591]) ).
cnf(c_0_3591_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_3591]) ).
cnf(c_0_3592_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_3592]) ).
cnf(c_0_3592_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_3592]) ).
cnf(c_0_3593_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_3593]) ).
cnf(c_0_3593_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_3593]) ).
cnf(c_0_3594_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_3594]) ).
cnf(c_0_3594_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_3594]) ).
cnf(c_0_3595_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_3595]) ).
cnf(c_0_3595_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_3595]) ).
cnf(c_0_3596_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_3596]) ).
cnf(c_0_3596_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_3596]) ).
cnf(c_0_3597_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_3597]) ).
cnf(c_0_3597_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_3597]) ).
cnf(c_0_3598_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_3598]) ).
cnf(c_0_3598_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_3598]) ).
cnf(c_0_3599_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_3599]) ).
cnf(c_0_3599_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_3599]) ).
cnf(c_0_3600_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_3600]) ).
cnf(c_0_3600_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_3600]) ).
cnf(c_0_3601_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3601]) ).
cnf(c_0_3601_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3601]) ).
cnf(c_0_3601_2,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3601]) ).
cnf(c_0_3602_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3602]) ).
cnf(c_0_3602_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3602]) ).
cnf(c_0_3602_2,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3602]) ).
cnf(c_0_3603_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3603]) ).
cnf(c_0_3603_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3603]) ).
cnf(c_0_3603_2,axiom,
( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3603]) ).
cnf(c_0_3604_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3604]) ).
cnf(c_0_3604_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3604]) ).
cnf(c_0_3604_2,axiom,
( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3604]) ).
cnf(c_0_3605_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3605]) ).
cnf(c_0_3605_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3605]) ).
cnf(c_0_3605_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3605]) ).
cnf(c_0_3605_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3605]) ).
cnf(c_0_3606_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3606]) ).
cnf(c_0_3606_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3606]) ).
cnf(c_0_3606_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3606]) ).
cnf(c_0_3606_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3606]) ).
cnf(c_0_3607_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3607]) ).
cnf(c_0_3607_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3607]) ).
cnf(c_0_3607_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3607]) ).
cnf(c_0_3607_3,axiom,
( ~ class_Ring__and__Field_Opordered__ring__abs(X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3607]) ).
cnf(c_0_3608_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3608]) ).
cnf(c_0_3608_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3608]) ).
cnf(c_0_3608_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3608]) ).
cnf(c_0_3608_3,axiom,
( ~ class_Ring__and__Field_Opordered__ring__abs(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Oabs__class_Oabs(X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3608]) ).
cnf(c_0_3609_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3609]) ).
cnf(c_0_3609_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3609]) ).
cnf(c_0_3609_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3609]) ).
cnf(c_0_3609_3,axiom,
( ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3609]) ).
cnf(c_0_3610_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3610]) ).
cnf(c_0_3610_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3610]) ).
cnf(c_0_3610_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3610]) ).
cnf(c_0_3610_3,axiom,
( ~ class_Ring__and__Field_Opordered__ring__abs(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X2,X1),c_HOL_Oabs__class_Oabs(X3,X1),X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3610]) ).
cnf(c_0_3611_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3611]) ).
cnf(c_0_3611_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3611]) ).
cnf(c_0_3612_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3612]) ).
cnf(c_0_3612_1,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3612]) ).
cnf(c_0_3613_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_3613]) ).
cnf(c_0_3613_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_3613]) ).
cnf(c_0_3613_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_3613]) ).
cnf(c_0_3614_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3614]) ).
cnf(c_0_3614_1,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3614]) ).
cnf(c_0_3614_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3614]) ).
cnf(c_0_3614_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3614]) ).
cnf(c_0_3614_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3614]) ).
cnf(c_0_3615_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3615]) ).
cnf(c_0_3615_1,axiom,
( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3615]) ).
cnf(c_0_3615_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3615]) ).
cnf(c_0_3615_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3615]) ).
cnf(c_0_3615_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3615]) ).
cnf(c_0_3616_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3616]) ).
cnf(c_0_3616_1,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3616]) ).
cnf(c_0_3616_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3616]) ).
cnf(c_0_3616_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3616]) ).
cnf(c_0_3616_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3616]) ).
cnf(c_0_3617_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3617]) ).
cnf(c_0_3617_1,axiom,
( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3617]) ).
cnf(c_0_3617_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3617]) ).
cnf(c_0_3617_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3617]) ).
cnf(c_0_3617_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3617]) ).
cnf(c_0_3618_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3618]) ).
cnf(c_0_3618_1,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3618]) ).
cnf(c_0_3618_2,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3618]) ).
cnf(c_0_3618_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3618]) ).
cnf(c_0_3618_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3618]) ).
cnf(c_0_3619_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3619]) ).
cnf(c_0_3619_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3619]) ).
cnf(c_0_3619_2,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3619]) ).
cnf(c_0_3619_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3619]) ).
cnf(c_0_3619_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3619]) ).
cnf(c_0_3620_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3620]) ).
cnf(c_0_3620_1,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3620]) ).
cnf(c_0_3620_2,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3620]) ).
cnf(c_0_3620_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3620]) ).
cnf(c_0_3620_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3620]) ).
cnf(c_0_3621_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3621]) ).
cnf(c_0_3621_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3621]) ).
cnf(c_0_3621_2,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3621]) ).
cnf(c_0_3621_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3621]) ).
cnf(c_0_3621_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3621]) ).
cnf(c_0_3622_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3622]) ).
cnf(c_0_3622_1,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3622]) ).
cnf(c_0_3622_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3622]) ).
cnf(c_0_3622_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3622]) ).
cnf(c_0_3622_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3622]) ).
cnf(c_0_3623_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3623]) ).
cnf(c_0_3623_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3623]) ).
cnf(c_0_3623_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3623]) ).
cnf(c_0_3623_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3623]) ).
cnf(c_0_3623_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3623]) ).
cnf(c_0_3624_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3624]) ).
cnf(c_0_3624_1,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3624]) ).
cnf(c_0_3624_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3624]) ).
cnf(c_0_3624_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3624]) ).
cnf(c_0_3624_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3624]) ).
cnf(c_0_3625_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3625]) ).
cnf(c_0_3625_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3625]) ).
cnf(c_0_3625_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3625]) ).
cnf(c_0_3625_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3625]) ).
cnf(c_0_3625_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3625]) ).
cnf(c_0_3626_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3626]) ).
cnf(c_0_3626_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3626]) ).
cnf(c_0_3626_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3626]) ).
cnf(c_0_3626_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3626]) ).
cnf(c_0_3626_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3626]) ).
cnf(c_0_3627_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3627]) ).
cnf(c_0_3627_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3627]) ).
cnf(c_0_3627_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3627]) ).
cnf(c_0_3627_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3627]) ).
cnf(c_0_3627_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3627]) ).
cnf(c_0_3628_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3628]) ).
cnf(c_0_3628_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3628]) ).
cnf(c_0_3628_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3628]) ).
cnf(c_0_3628_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3628]) ).
cnf(c_0_3628_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3628]) ).
cnf(c_0_3629_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3629]) ).
cnf(c_0_3629_1,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3629]) ).
cnf(c_0_3629_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3629]) ).
cnf(c_0_3629_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__field(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3629]) ).
cnf(c_0_3629_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3629]) ).
cnf(c_0_3630_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3630]) ).
cnf(c_0_3630_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3630]) ).
cnf(c_0_3630_2,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3630]) ).
cnf(c_0_3630_3,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3630]) ).
cnf(c_0_3630_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3630]) ).
cnf(c_0_3630_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3630]) ).
cnf(c_0_3631_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3631]) ).
cnf(c_0_3631_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3631]) ).
cnf(c_0_3631_2,axiom,
( c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3631]) ).
cnf(c_0_3631_3,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3631]) ).
cnf(c_0_3631_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3631]) ).
cnf(c_0_3631_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3631]) ).
cnf(c_0_3632_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3632]) ).
cnf(c_0_3632_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3632]) ).
cnf(c_0_3632_2,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3632]) ).
cnf(c_0_3632_3,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3632]) ).
cnf(c_0_3632_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3632]) ).
cnf(c_0_3632_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oinverse__class_Odivide(X4,X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3632]) ).
cnf(c_0_3633_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3633]) ).
cnf(c_0_3633_1,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3633]) ).
cnf(c_0_3633_2,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3633]) ).
cnf(c_0_3633_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3633]) ).
cnf(c_0_3633_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3633]) ).
cnf(c_0_3633_5,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X4,X2,X1),X3,X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3633]) ).
cnf(c_0_3634_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3634]) ).
cnf(c_0_3634_1,axiom,
( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3634]) ).
cnf(c_0_3634_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3634]) ).
cnf(c_0_3634_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3634]) ).
cnf(c_0_3635_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3635]) ).
cnf(c_0_3635_1,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3635]) ).
cnf(c_0_3635_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3635]) ).
cnf(c_0_3635_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3635]) ).
cnf(c_0_3636_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3636]) ).
cnf(c_0_3636_1,axiom,
( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3636]) ).
cnf(c_0_3636_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3636]) ).
cnf(c_0_3636_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3636]) ).
cnf(c_0_3637_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3637]) ).
cnf(c_0_3637_1,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3637]) ).
cnf(c_0_3637_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3637]) ).
cnf(c_0_3637_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3637]) ).
cnf(c_0_3638_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3638]) ).
cnf(c_0_3638_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3638]) ).
cnf(c_0_3638_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3638]) ).
cnf(c_0_3638_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3638]) ).
cnf(c_0_3639_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3639]) ).
cnf(c_0_3639_1,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3639]) ).
cnf(c_0_3639_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3639]) ).
cnf(c_0_3639_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3639]) ).
cnf(c_0_3640_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3640]) ).
cnf(c_0_3640_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3640]) ).
cnf(c_0_3640_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3640]) ).
cnf(c_0_3640_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3640]) ).
cnf(c_0_3641_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3641]) ).
cnf(c_0_3641_1,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3641]) ).
cnf(c_0_3641_2,axiom,
( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3641]) ).
cnf(c_0_3641_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3641]) ).
cnf(c_0_3642_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3642]) ).
cnf(c_0_3642_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3642]) ).
cnf(c_0_3642_2,axiom,
( ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3642]) ).
cnf(c_0_3642_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3642]) ).
cnf(c_0_3642_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3642]) ).
cnf(c_0_3643_0,axiom,
( c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3643]) ).
cnf(c_0_3643_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3643]) ).
cnf(c_0_3644_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3644]) ).
cnf(c_0_3644_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3644]) ).
cnf(c_0_3644_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3644]) ).
cnf(c_0_3644_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3644]) ).
cnf(c_0_3644_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3644]) ).
cnf(c_0_3645_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3645]) ).
cnf(c_0_3645_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3645]) ).
cnf(c_0_3645_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3645]) ).
cnf(c_0_3645_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3645]) ).
cnf(c_0_3645_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3645]) ).
cnf(c_0_3646_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3646]) ).
cnf(c_0_3646_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3646]) ).
cnf(c_0_3646_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3646]) ).
cnf(c_0_3646_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3646]) ).
cnf(c_0_3646_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3646]) ).
cnf(c_0_3647_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3647]) ).
cnf(c_0_3647_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3647]) ).
cnf(c_0_3647_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3647]) ).
cnf(c_0_3647_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3647]) ).
cnf(c_0_3647_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3647]) ).
cnf(c_0_3648_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3648]) ).
cnf(c_0_3648_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3648]) ).
cnf(c_0_3648_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3648]) ).
cnf(c_0_3648_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3648]) ).
cnf(c_0_3648_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3648]) ).
cnf(c_0_3649_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3649]) ).
cnf(c_0_3649_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3649]) ).
cnf(c_0_3649_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3649]) ).
cnf(c_0_3649_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3649]) ).
cnf(c_0_3649_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3649]) ).
cnf(c_0_3650_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3650]) ).
cnf(c_0_3650_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3650]) ).
cnf(c_0_3650_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3650]) ).
cnf(c_0_3650_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3650]) ).
cnf(c_0_3650_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3650]) ).
cnf(c_0_3651_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3651]) ).
cnf(c_0_3651_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3651]) ).
cnf(c_0_3651_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3651]) ).
cnf(c_0_3651_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3651]) ).
cnf(c_0_3651_4,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3651]) ).
cnf(c_0_3652_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3652]) ).
cnf(c_0_3652_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3652]) ).
cnf(c_0_3652_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3652]) ).
cnf(c_0_3652_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3652]) ).
cnf(c_0_3653_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3653]) ).
cnf(c_0_3653_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3653]) ).
cnf(c_0_3653_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3653]) ).
cnf(c_0_3653_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3653]) ).
cnf(c_0_3654_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3654]) ).
cnf(c_0_3654_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3654]) ).
cnf(c_0_3654_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3654]) ).
cnf(c_0_3654_3,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3654]) ).
cnf(c_0_3655_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3655]) ).
cnf(c_0_3655_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3655]) ).
cnf(c_0_3655_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3655]) ).
cnf(c_0_3655_3,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3655]) ).
cnf(c_0_3656_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3656]) ).
cnf(c_0_3656_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3656]) ).
cnf(c_0_3656_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3656]) ).
cnf(c_0_3656_3,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3656]) ).
cnf(c_0_3657_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3657]) ).
cnf(c_0_3657_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3657]) ).
cnf(c_0_3657_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3657]) ).
cnf(c_0_3657_3,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3657]) ).
cnf(c_0_3658_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3658]) ).
cnf(c_0_3658_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3658]) ).
cnf(c_0_3658_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3658]) ).
cnf(c_0_3658_3,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3658]) ).
cnf(c_0_3659_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3659]) ).
cnf(c_0_3659_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3659]) ).
cnf(c_0_3659_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3659]) ).
cnf(c_0_3659_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3659]) ).
cnf(c_0_3660_0,axiom,
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3660]) ).
cnf(c_0_3660_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3660]) ).
cnf(c_0_3660_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3660]) ).
cnf(c_0_3660_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3660]) ).
cnf(c_0_3661_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3661]) ).
cnf(c_0_3661_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3661]) ).
cnf(c_0_3661_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3661]) ).
cnf(c_0_3661_3,axiom,
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3661]) ).
cnf(c_0_3662_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3662]) ).
cnf(c_0_3662_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3662]) ).
cnf(c_0_3662_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3662]) ).
cnf(c_0_3662_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3662]) ).
cnf(c_0_3663_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3663]) ).
cnf(c_0_3663_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3663]) ).
cnf(c_0_3663_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3663]) ).
cnf(c_0_3663_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3663]) ).
cnf(c_0_3664_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3664]) ).
cnf(c_0_3664_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3664]) ).
cnf(c_0_3664_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3664]) ).
cnf(c_0_3664_3,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3664]) ).
cnf(c_0_3665_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3665]) ).
cnf(c_0_3665_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3665]) ).
cnf(c_0_3665_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Opordered__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3665]) ).
cnf(c_0_3665_3,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3665]) ).
cnf(c_0_3666_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3666]) ).
cnf(c_0_3666_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3666]) ).
cnf(c_0_3666_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Opordered__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3666]) ).
cnf(c_0_3666_3,axiom,
( ~ class_Ring__and__Field_Opordered__ring(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3666]) ).
cnf(c_0_3667_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3667]) ).
cnf(c_0_3667_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3667]) ).
cnf(c_0_3667_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3667]) ).
cnf(c_0_3667_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3667]) ).
cnf(c_0_3668_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3668]) ).
cnf(c_0_3668_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3668]) ).
cnf(c_0_3668_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3668]) ).
cnf(c_0_3668_3,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3668]) ).
cnf(c_0_3669_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3669]) ).
cnf(c_0_3669_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3669]) ).
cnf(c_0_3669_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3669]) ).
cnf(c_0_3669_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3669]) ).
cnf(c_0_3670_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3670]) ).
cnf(c_0_3670_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3670]) ).
cnf(c_0_3670_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3670]) ).
cnf(c_0_3670_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3670]) ).
cnf(c_0_3671_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3671]) ).
cnf(c_0_3671_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3671]) ).
cnf(c_0_3671_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3671]) ).
cnf(c_0_3671_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3671]) ).
cnf(c_0_3672_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3672]) ).
cnf(c_0_3672_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3672]) ).
cnf(c_0_3672_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3672]) ).
cnf(c_0_3672_3,axiom,
( ~ class_Ring__and__Field_Oordered__semiring__strict(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3672]) ).
cnf(c_0_3673_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3673]) ).
cnf(c_0_3673_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3673]) ).
cnf(c_0_3673_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3673]) ).
cnf(c_0_3673_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3673]) ).
cnf(c_0_3674_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3674]) ).
cnf(c_0_3674_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3674]) ).
cnf(c_0_3674_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3674]) ).
cnf(c_0_3674_3,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Otimes__class_Otimes(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3674]) ).
cnf(c_0_3675_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3675]) ).
cnf(c_0_3675_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3675]) ).
cnf(c_0_3675_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3675]) ).
cnf(c_0_3675_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3675]) ).
cnf(c_0_3676_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3676]) ).
cnf(c_0_3676_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3676]) ).
cnf(c_0_3676_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3676]) ).
cnf(c_0_3676_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3676]) ).
cnf(c_0_3677_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3677]) ).
cnf(c_0_3677_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3677]) ).
cnf(c_0_3677_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3677]) ).
cnf(c_0_3677_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3677]) ).
cnf(c_0_3678_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3678]) ).
cnf(c_0_3678_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3678]) ).
cnf(c_0_3678_2,axiom,
( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3678]) ).
cnf(c_0_3678_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
| ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3678]) ).
cnf(c_0_3679_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3679]) ).
cnf(c_0_3679_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3679]) ).
cnf(c_0_3679_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3679]) ).
cnf(c_0_3679_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3679]) ).
cnf(c_0_3680_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3680]) ).
cnf(c_0_3680_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3680]) ).
cnf(c_0_3680_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3680]) ).
cnf(c_0_3680_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3680]) ).
cnf(c_0_3681_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3681]) ).
cnf(c_0_3681_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3681]) ).
cnf(c_0_3681_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3681]) ).
cnf(c_0_3681_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3681]) ).
cnf(c_0_3682_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3682]) ).
cnf(c_0_3682_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3682]) ).
cnf(c_0_3682_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3682]) ).
cnf(c_0_3682_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3682]) ).
cnf(c_0_3683_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3683]) ).
cnf(c_0_3683_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3683]) ).
cnf(c_0_3683_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3683]) ).
cnf(c_0_3683_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X1,X3,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3683]) ).
cnf(c_0_3684_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3684]) ).
cnf(c_0_3684_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3684]) ).
cnf(c_0_3684_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3684]) ).
cnf(c_0_3684_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(X2,X3,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3684]) ).
cnf(c_0_3685_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3685]) ).
cnf(c_0_3685_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3685]) ).
cnf(c_0_3685_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3685]) ).
cnf(c_0_3685_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3685]) ).
cnf(c_0_3686_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3686]) ).
cnf(c_0_3686_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3686]) ).
cnf(c_0_3686_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3686]) ).
cnf(c_0_3686_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oinverse__class_Odivide(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3686]) ).
cnf(c_0_3687_0,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3687]) ).
cnf(c_0_3687_1,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3687]) ).
cnf(c_0_3687_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3687]) ).
cnf(c_0_3688_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3688]) ).
cnf(c_0_3688_1,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3688]) ).
cnf(c_0_3688_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3688]) ).
cnf(c_0_3689_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3689]) ).
cnf(c_0_3689_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3689]) ).
cnf(c_0_3689_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3689]) ).
cnf(c_0_3690_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3690]) ).
cnf(c_0_3690_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3690]) ).
cnf(c_0_3690_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3690]) ).
cnf(c_0_3691_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3691]) ).
cnf(c_0_3691_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3691]) ).
cnf(c_0_3691_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3691]) ).
cnf(c_0_3692_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3692]) ).
cnf(c_0_3692_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3692]) ).
cnf(c_0_3692_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3692]) ).
cnf(c_0_3693_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3693]) ).
cnf(c_0_3693_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3693]) ).
cnf(c_0_3693_2,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3693]) ).
cnf(c_0_3694_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3694]) ).
cnf(c_0_3694_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3694]) ).
cnf(c_0_3694_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3694]) ).
cnf(c_0_3695_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3695]) ).
cnf(c_0_3695_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3695]) ).
cnf(c_0_3695_2,axiom,
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3695]) ).
cnf(c_0_3696_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3696]) ).
cnf(c_0_3696_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3696]) ).
cnf(c_0_3696_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X4,X1,X3),c_HOL_Oplus__class_Oplus(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3696]) ).
cnf(c_0_3697_0,axiom,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3697]) ).
cnf(c_0_3697_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3697]) ).
cnf(c_0_3697_2,axiom,
( ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3697]) ).
cnf(c_0_3697_3,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3697]) ).
cnf(c_0_3697_4,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X4,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3697]) ).
cnf(c_0_3698_0,axiom,
( c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3698]) ).
cnf(c_0_3698_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3698]) ).
cnf(c_0_3698_2,axiom,
( ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3698]) ).
cnf(c_0_3698_3,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3698]) ).
cnf(c_0_3698_4,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3698]) ).
cnf(c_0_3699_0,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3699]) ).
cnf(c_0_3699_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3699]) ).
cnf(c_0_3699_2,axiom,
( ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3699]) ).
cnf(c_0_3699_3,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3699]) ).
cnf(c_0_3699_4,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_lessequals(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3699]) ).
cnf(c_0_3700_0,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3700]) ).
cnf(c_0_3700_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3700]) ).
cnf(c_0_3700_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3700]) ).
cnf(c_0_3700_3,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3700]) ).
cnf(c_0_3700_4,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
| ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3700]) ).
cnf(c_0_3701_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3701]) ).
cnf(c_0_3701_1,axiom,
( ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3701]) ).
cnf(c_0_3701_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3701]) ).
cnf(c_0_3701_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3701]) ).
cnf(c_0_3702_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3702]) ).
cnf(c_0_3702_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3702]) ).
cnf(c_0_3702_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3702]) ).
cnf(c_0_3702_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3702]) ).
cnf(c_0_3703_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3703]) ).
cnf(c_0_3703_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3703]) ).
cnf(c_0_3703_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3703]) ).
cnf(c_0_3703_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3703]) ).
cnf(c_0_3704_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3704]) ).
cnf(c_0_3704_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3704]) ).
cnf(c_0_3704_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3704]) ).
cnf(c_0_3704_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3704]) ).
cnf(c_0_3705_0,axiom,
( c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3705]) ).
cnf(c_0_3705_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3705]) ).
cnf(c_0_3705_2,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3705]) ).
cnf(c_0_3705_3,axiom,
( ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3705]) ).
cnf(c_0_3706_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3706]) ).
cnf(c_0_3706_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3706]) ).
cnf(c_0_3706_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3706]) ).
cnf(c_0_3706_3,axiom,
( ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(c_Transcendental_Opi,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X1),c_Transcendental_Ocos(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3706]) ).
cnf(c_0_3707_0,axiom,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3707]) ).
cnf(c_0_3707_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3707]) ).
cnf(c_0_3707_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3707]) ).
cnf(c_0_3708_0,axiom,
( c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3708]) ).
cnf(c_0_3708_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3708]) ).
cnf(c_0_3708_2,axiom,
( ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3708]) ).
cnf(c_0_3708_3,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(X3,X4,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(X3,c_HOL_Oplus__class_Oplus(X2,X4,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3708]) ).
cnf(c_0_3709_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3709]) ).
cnf(c_0_3709_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3709]) ).
cnf(c_0_3709_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal)) ),
inference(literals_permutation,[status(thm)],[c_0_3709]) ).
cnf(c_0_3710_0,axiom,
( c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3710]) ).
cnf(c_0_3710_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal))
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3710]) ).
cnf(c_0_3710_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Ominus__class_Ominus(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) = c_Transcendental_Oln(c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal)) ),
inference(literals_permutation,[status(thm)],[c_0_3710]) ).
cnf(c_0_3711_0,axiom,
( ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3711]) ).
cnf(c_0_3711_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3711]) ).
cnf(c_0_3711_2,axiom,
( ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3711]) ).
cnf(c_0_3711_3,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ class_Int_Onumber(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ c_lessequals(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3711]) ).
cnf(c_0_3712_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3712]) ).
cnf(c_0_3712_1,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(X3,X1,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X3,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3712]) ).
cnf(c_0_3713_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_3713]) ).
cnf(c_0_3713_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_3713]) ).
cnf(c_0_3713_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_3713]) ).
cnf(c_0_3713_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_3713]) ).
cnf(c_0_3714_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_3714]) ).
cnf(c_0_3714_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_3714]) ).
cnf(c_0_3714_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_3714]) ).
cnf(c_0_3714_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_3714]) ).
cnf(c_0_3715_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_3715]) ).
cnf(c_0_3715_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_3715]) ).
cnf(c_0_3716_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_3716]) ).
cnf(c_0_3716_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_3716]) ).
cnf(c_0_3717_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_3717]) ).
cnf(c_0_3717_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_3717]) ).
cnf(c_0_3718_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3718]) ).
cnf(c_0_3718_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3718]) ).
cnf(c_0_3718_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3718]) ).
cnf(c_0_3719_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3719]) ).
cnf(c_0_3719_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3719]) ).
cnf(c_0_3719_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3719]) ).
cnf(c_0_3720_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3720]) ).
cnf(c_0_3720_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3720]) ).
cnf(c_0_3720_2,axiom,
( ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3720]) ).
cnf(c_0_3721_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3721]) ).
cnf(c_0_3721_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3721]) ).
cnf(c_0_3721_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3721]) ).
cnf(c_0_3722_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3722]) ).
cnf(c_0_3722_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3722]) ).
cnf(c_0_3722_2,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oinverse__class_Odivide(X2,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3722]) ).
cnf(c_0_3723_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3723]) ).
cnf(c_0_3723_1,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3723]) ).
cnf(c_0_3723_2,axiom,
( ~ class_Ring__and__Field_Ofield(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X4,X3) = c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3723]) ).
cnf(c_0_3724_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3724]) ).
cnf(c_0_3724_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3724]) ).
cnf(c_0_3724_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3724]) ).
cnf(c_0_3724_3,axiom,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3724]) ).
cnf(c_0_3725_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3725]) ).
cnf(c_0_3725_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3725]) ).
cnf(c_0_3725_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3725]) ).
cnf(c_0_3725_3,axiom,
( ~ c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3725]) ).
cnf(c_0_3726_0,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3726]) ).
cnf(c_0_3726_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3726]) ).
cnf(c_0_3726_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3726]) ).
cnf(c_0_3727_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3727]) ).
cnf(c_0_3727_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3727]) ).
cnf(c_0_3727_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3727]) ).
cnf(c_0_3728_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3728]) ).
cnf(c_0_3728_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3728]) ).
cnf(c_0_3728_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3728]) ).
cnf(c_0_3729_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3729]) ).
cnf(c_0_3729_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3729]) ).
cnf(c_0_3729_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3729]) ).
cnf(c_0_3730_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3730]) ).
cnf(c_0_3730_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3730]) ).
cnf(c_0_3730_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3730]) ).
cnf(c_0_3731_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_3731]) ).
cnf(c_0_3731_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_3731]) ).
cnf(c_0_3732_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_3732]) ).
cnf(c_0_3732_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_3732]) ).
cnf(c_0_3733_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_3733]) ).
cnf(c_0_3733_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_3733]) ).
cnf(c_0_3734_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_3734]) ).
cnf(c_0_3734_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_3734]) ).
cnf(c_0_3735_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_3735]) ).
cnf(c_0_3735_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_3735]) ).
cnf(c_0_3736_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_3736]) ).
cnf(c_0_3736_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_3736]) ).
cnf(c_0_3737_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_3737]) ).
cnf(c_0_3737_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_3737]) ).
cnf(c_0_3738_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_3738]) ).
cnf(c_0_3738_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_3738]) ).
cnf(c_0_3739_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_3739]) ).
cnf(c_0_3739_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_3739]) ).
cnf(c_0_3740_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_3740]) ).
cnf(c_0_3740_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_3740]) ).
cnf(c_0_3741_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_3741]) ).
cnf(c_0_3741_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_3741]) ).
cnf(c_0_3742_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_3742]) ).
cnf(c_0_3742_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_3742]) ).
cnf(c_0_3743_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_3743]) ).
cnf(c_0_3743_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_3743]) ).
cnf(c_0_3744_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_3744]) ).
cnf(c_0_3744_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_3744]) ).
cnf(c_0_3745_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_3745]) ).
cnf(c_0_3745_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_3745]) ).
cnf(c_0_3746_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_3746]) ).
cnf(c_0_3746_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_3746]) ).
cnf(c_0_3747_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3747]) ).
cnf(c_0_3747_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3747]) ).
cnf(c_0_3748_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3748]) ).
cnf(c_0_3748_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3748]) ).
cnf(c_0_3749_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3749]) ).
cnf(c_0_3749_1,axiom,
( ~ c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3749]) ).
cnf(c_0_3750_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3750]) ).
cnf(c_0_3750_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3750]) ).
cnf(c_0_3751_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3751]) ).
cnf(c_0_3751_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3751]) ).
cnf(c_0_3751_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3751]) ).
cnf(c_0_3751_3,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3751]) ).
cnf(c_0_3752_0,axiom,
( c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3752]) ).
cnf(c_0_3752_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3752]) ).
cnf(c_0_3752_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3752]) ).
cnf(c_0_3752_3,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Oln(X1),c_Transcendental_Oln(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3752]) ).
cnf(c_0_3753_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3753]) ).
cnf(c_0_3753_1,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3753]) ).
cnf(c_0_3753_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3753]) ).
cnf(c_0_3754_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3754]) ).
cnf(c_0_3754_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3754]) ).
cnf(c_0_3754_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3754]) ).
cnf(c_0_3755_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3755]) ).
cnf(c_0_3755_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3755]) ).
cnf(c_0_3755_2,axiom,
( c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3755]) ).
cnf(c_0_3755_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X2,X1,X3) != c_HOL_Ominus__class_Ominus(X5,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3755]) ).
cnf(c_0_3756_0,axiom,
( c_lessequals(X4,X5,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3756]) ).
cnf(c_0_3756_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3756]) ).
cnf(c_0_3756_2,axiom,
( c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3756]) ).
cnf(c_0_3756_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X5,X4,X3) != c_HOL_Ominus__class_Ominus(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3756]) ).
cnf(c_0_3757_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3757]) ).
cnf(c_0_3757_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3757]) ).
cnf(c_0_3757_2,axiom,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3757]) ).
cnf(c_0_3757_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ominus__class_Ominus(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3757]) ).
cnf(c_0_3758_0,axiom,
( c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3758]) ).
cnf(c_0_3758_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3758]) ).
cnf(c_0_3758_2,axiom,
( c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3758]) ).
cnf(c_0_3758_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_HOL_Ominus__class_Ominus(X4,X5,X3) != c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X5,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3758]) ).
cnf(c_0_3759_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3759]) ).
cnf(c_0_3759_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3759]) ).
cnf(c_0_3759_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3759]) ).
cnf(c_0_3759_3,axiom,
( ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3759]) ).
cnf(c_0_3760_0,axiom,
( c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3760]) ).
cnf(c_0_3760_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3760]) ).
cnf(c_0_3760_2,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3760]) ).
cnf(c_0_3760_3,axiom,
( ~ c_lessequals(X2,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Ocos(X2),c_Transcendental_Ocos(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3760]) ).
cnf(c_0_3761_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3761]) ).
cnf(c_0_3761_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3761]) ).
cnf(c_0_3761_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3761]) ).
cnf(c_0_3761_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Oinverse__class_Odivide(X3,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3761]) ).
cnf(c_0_3762_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3762]) ).
cnf(c_0_3762_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3762]) ).
cnf(c_0_3762_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3762]) ).
cnf(c_0_3763_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3763]) ).
cnf(c_0_3763_1,axiom,
( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3763]) ).
cnf(c_0_3764_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3764]) ).
cnf(c_0_3764_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3764]) ).
cnf(c_0_3764_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X3,X1),X2,X1) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X3,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3764]) ).
cnf(c_0_3765_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Int_Onumber__ring(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3765]) ).
cnf(c_0_3765_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3765]) ).
cnf(c_0_3765_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3765]) ).
cnf(c_0_3765_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber__ring(X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3765]) ).
cnf(c_0_3766_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3766]) ).
cnf(c_0_3766_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3766]) ).
cnf(c_0_3766_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3766]) ).
cnf(c_0_3767_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3767]) ).
cnf(c_0_3767_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3767]) ).
cnf(c_0_3767_2,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3767]) ).
cnf(c_0_3767_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3767]) ).
cnf(c_0_3768_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3768]) ).
cnf(c_0_3768_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3768]) ).
cnf(c_0_3768_2,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3768]) ).
cnf(c_0_3768_3,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3768]) ).
cnf(c_0_3769_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3769]) ).
cnf(c_0_3769_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3769]) ).
cnf(c_0_3769_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3769]) ).
cnf(c_0_3769_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3769]) ).
cnf(c_0_3770_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_3770]) ).
cnf(c_0_3770_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_3770]) ).
cnf(c_0_3770_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_3770]) ).
cnf(c_0_3770_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_3770]) ).
cnf(c_0_3770_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_3770]) ).
cnf(c_0_3771_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_3771]) ).
cnf(c_0_3771_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_3771]) ).
cnf(c_0_3771_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_3771]) ).
cnf(c_0_3771_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_3771]) ).
cnf(c_0_3771_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_3771]) ).
cnf(c_0_3772_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3772]) ).
cnf(c_0_3772_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3772]) ).
cnf(c_0_3772_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3772]) ).
cnf(c_0_3772_3,axiom,
( c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3772]) ).
cnf(c_0_3772_4,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
| c_HOL_Oplus__class_Oplus(X3,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3772]) ).
cnf(c_0_3773_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3773]) ).
cnf(c_0_3773_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3773]) ).
cnf(c_0_3773_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3773]) ).
cnf(c_0_3773_3,axiom,
( c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3773]) ).
cnf(c_0_3773_4,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X2)
| c_HOL_Oplus__class_Oplus(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3773]) ).
cnf(c_0_3774_0,axiom,
( c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3774]) ).
cnf(c_0_3774_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3774]) ).
cnf(c_0_3774_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3774]) ).
cnf(c_0_3774_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3774]) ).
cnf(c_0_3775_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3775]) ).
cnf(c_0_3775_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3775]) ).
cnf(c_0_3775_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3775]) ).
cnf(c_0_3775_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3775]) ).
cnf(c_0_3776_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3776]) ).
cnf(c_0_3776_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3776]) ).
cnf(c_0_3776_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3776]) ).
cnf(c_0_3776_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X2),X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3776]) ).
cnf(c_0_3777_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3777]) ).
cnf(c_0_3777_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3777]) ).
cnf(c_0_3777_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__field(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3777]) ).
cnf(c_0_3777_3,axiom,
( ~ class_Ring__and__Field_Oordered__field(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oinverse__class_Odivide(c_HOL_Oone__class_Oone(X1),X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3777]) ).
cnf(c_0_3778_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3778]) ).
cnf(c_0_3778_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3778]) ).
cnf(c_0_3779_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3779]) ).
cnf(c_0_3779_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3779]) ).
cnf(c_0_3779_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3779]) ).
cnf(c_0_3779_3,axiom,
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3779]) ).
cnf(c_0_3780_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3780]) ).
cnf(c_0_3780_1,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3780]) ).
cnf(c_0_3780_2,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,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_3780]) ).
cnf(c_0_3780_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3780]) ).
cnf(c_0_3780_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3780]) ).
cnf(c_0_3781_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3781]) ).
cnf(c_0_3781_1,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3781]) ).
cnf(c_0_3781_2,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,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_3781]) ).
cnf(c_0_3781_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3781]) ).
cnf(c_0_3781_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3781]) ).
cnf(c_0_3782_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3782]) ).
cnf(c_0_3782_1,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3782]) ).
cnf(c_0_3782_2,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,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_3782]) ).
cnf(c_0_3782_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3782]) ).
cnf(c_0_3782_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3782]) ).
cnf(c_0_3783_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3783]) ).
cnf(c_0_3783_1,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3783]) ).
cnf(c_0_3783_2,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,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_3783]) ).
cnf(c_0_3783_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3783]) ).
cnf(c_0_3783_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Otimes__class_Otimes(c_HOL_Oinverse__class_Odivide(X3,c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = X3
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3783]) ).
cnf(c_0_3784_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3784]) ).
cnf(c_0_3784_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3784]) ).
cnf(c_0_3784_2,axiom,
( ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oabs__class_Oabs(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3784]) ).
cnf(c_0_3785_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3785]) ).
cnf(c_0_3785_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3785]) ).
cnf(c_0_3786_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3786]) ).
cnf(c_0_3786_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3786]) ).
cnf(c_0_3787_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3787]) ).
cnf(c_0_3787_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3787]) ).
cnf(c_0_3788_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3788]) ).
cnf(c_0_3788_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X1,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3788]) ).
cnf(c_0_3789_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X2)
| ~ class_Int_Onumber__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3789]) ).
cnf(c_0_3789_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(c_Int_OBit1(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3789]) ).
cnf(c_0_3790_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X2)
| ~ class_Int_Onumber__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3790]) ).
cnf(c_0_3790_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X1),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3790]) ).
cnf(c_0_3791_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_3791]) ).
cnf(c_0_3791_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_3791]) ).
cnf(c_0_3791_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_3791]) ).
cnf(c_0_3792_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3792]) ).
cnf(c_0_3792_1,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3792]) ).
cnf(c_0_3792_2,axiom,
( ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3792]) ).
cnf(c_0_3792_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3792]) ).
cnf(c_0_3792_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3792]) ).
cnf(c_0_3793_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3793]) ).
cnf(c_0_3793_1,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3793]) ).
cnf(c_0_3793_2,axiom,
( ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3793]) ).
cnf(c_0_3793_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3793]) ).
cnf(c_0_3793_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X1,X2),X3,X2),X3,X2) = c_Int_Onumber__class_Onumber__of(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3793]) ).
cnf(c_0_3794_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3794]) ).
cnf(c_0_3794_1,axiom,
( ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,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_3794]) ).
cnf(c_0_3794_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3794]) ).
cnf(c_0_3794_3,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3794]) ).
cnf(c_0_3795_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3795]) ).
cnf(c_0_3795_1,axiom,
( ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,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_3795]) ).
cnf(c_0_3795_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3795]) ).
cnf(c_0_3795_3,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3795]) ).
cnf(c_0_3796_0,axiom,
( c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3796]) ).
cnf(c_0_3796_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3796]) ).
cnf(c_0_3796_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3796]) ).
cnf(c_0_3797_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3797]) ).
cnf(c_0_3797_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3797]) ).
cnf(c_0_3797_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3797]) ).
cnf(c_0_3798_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3798]) ).
cnf(c_0_3798_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3798]) ).
cnf(c_0_3798_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3798]) ).
cnf(c_0_3799_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3799]) ).
cnf(c_0_3799_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3799]) ).
cnf(c_0_3799_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3799]) ).
cnf(c_0_3800_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3800]) ).
cnf(c_0_3800_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3800]) ).
cnf(c_0_3800_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(X2,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3800]) ).
cnf(c_0_3801_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3801]) ).
cnf(c_0_3801_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3801]) ).
cnf(c_0_3802_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3802]) ).
cnf(c_0_3802_1,axiom,
( c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3802]) ).
cnf(c_0_3803_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3803]) ).
cnf(c_0_3803_1,axiom,
( c_HOL_Otimes__class_Otimes(X2,X2,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3803]) ).
cnf(c_0_3804_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3804]) ).
cnf(c_0_3804_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3804]) ).
cnf(c_0_3804_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3804]) ).
cnf(c_0_3805_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3805]) ).
cnf(c_0_3805_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3805]) ).
cnf(c_0_3805_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3805]) ).
cnf(c_0_3806_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3806]) ).
cnf(c_0_3806_1,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3806]) ).
cnf(c_0_3806_2,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,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_3806]) ).
cnf(c_0_3806_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3806]) ).
cnf(c_0_3806_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3806]) ).
cnf(c_0_3807_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3807]) ).
cnf(c_0_3807_1,axiom,
( c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3807]) ).
cnf(c_0_3807_2,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,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_3807]) ).
cnf(c_0_3807_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3807]) ).
cnf(c_0_3807_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2),X1,X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3807]) ).
cnf(c_0_3808_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X2,X3),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3808]) ).
cnf(c_0_3808_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__cont__1(X1,X2,X3),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3808]) ).
cnf(c_0_3809_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_3809]) ).
cnf(c_0_3809_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_3809]) ).
cnf(c_0_3810_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3)
| ~ class_RealVector_Oreal__normed__vector(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3810]) ).
cnf(c_0_3810_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X3)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X1,X2,X3),X3) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3810]) ).
cnf(c_0_3811_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_3811]) ).
cnf(c_0_3811_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_3811]) ).
cnf(c_0_3812_0,axiom,
( c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3812]) ).
cnf(c_0_3812_1,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3812]) ).
cnf(c_0_3813_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_3813]) ).
cnf(c_0_3813_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_3813]) ).
cnf(c_0_3813_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_3813]) ).
cnf(c_0_3814_0,axiom,
( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
| ~ class_RealVector_Oreal__normed__field(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3814]) ).
cnf(c_0_3814_1,axiom,
( ~ class_RealVector_Oreal__normed__field(X3)
| c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3814]) ).
cnf(c_0_3814_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_RealVector_Oreal__normed__field(X3)
| c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3814]) ).
cnf(c_0_3815_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_3815]) ).
cnf(c_0_3815_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_3815]) ).
cnf(c_0_3815_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_3815]) ).
cnf(c_0_3816_0,axiom,
( c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X2),X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3816]) ).
cnf(c_0_3816_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),c_Int_Onumber__class_Onumber__of(X2,X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(X2),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3816]) ).
cnf(c_0_3817_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
| ~ class_RealVector_Oreal__normed__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3817]) ).
cnf(c_0_3817_1,axiom,
( c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__field(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3817]) ).
cnf(c_0_3817_2,axiom,
( ~ class_RealVector_Oreal__normed__field(X2)
| c_HOL_Oinverse__class_Odivide(c_RealVector_Onorm__class_Onorm(X3,X2),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Oinverse__class_Odivide(X3,X1,X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3817]) ).
cnf(c_0_3818_0,axiom,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3818]) ).
cnf(c_0_3818_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3818]) ).
cnf(c_0_3818_2,axiom,
( ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3818]) ).
cnf(c_0_3818_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3818]) ).
cnf(c_0_3819_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3819]) ).
cnf(c_0_3819_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3819]) ).
cnf(c_0_3819_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3819]) ).
cnf(c_0_3819_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3819]) ).
cnf(c_0_3820_0,axiom,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3820]) ).
cnf(c_0_3820_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3820]) ).
cnf(c_0_3820_2,axiom,
( ~ c_lessequals(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3820]) ).
cnf(c_0_3820_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3820]) ).
cnf(c_0_3821_0,axiom,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3821]) ).
cnf(c_0_3821_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3821]) ).
cnf(c_0_3821_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3821]) ).
cnf(c_0_3821_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3821]) ).
cnf(c_0_3822_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3822]) ).
cnf(c_0_3822_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3822]) ).
cnf(c_0_3822_2,axiom,
( ~ c_lessequals(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3822]) ).
cnf(c_0_3822_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3822]) ).
cnf(c_0_3823_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3823]) ).
cnf(c_0_3823_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3823]) ).
cnf(c_0_3823_2,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3823]) ).
cnf(c_0_3823_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3823]) ).
cnf(c_0_3824_0,axiom,
( c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3824]) ).
cnf(c_0_3824_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3824]) ).
cnf(c_0_3824_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3824]) ).
cnf(c_0_3824_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X4,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X4,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3824]) ).
cnf(c_0_3825_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3825]) ).
cnf(c_0_3825_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3825]) ).
cnf(c_0_3825_2,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3825]) ).
cnf(c_0_3825_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3825]) ).
cnf(c_0_3826_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_3826]) ).
cnf(c_0_3826_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_3826]) ).
cnf(c_0_3827_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_3827]) ).
cnf(c_0_3827_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_3827]) ).
cnf(c_0_3828_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_3828]) ).
cnf(c_0_3828_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_3828]) ).
cnf(c_0_3829_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_3829]) ).
cnf(c_0_3829_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_3829]) ).
cnf(c_0_3830_0,axiom,
( c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3)
| ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3830]) ).
cnf(c_0_3830_1,axiom,
( ~ class_RealVector_Oreal__normed__div__algebra(X3)
| c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X1,X3),c_RealVector_Onorm__class_Onorm(X2,X3),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3830]) ).
cnf(c_0_3831_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3831]) ).
cnf(c_0_3831_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3831]) ).
cnf(c_0_3831_2,axiom,
( ~ c_lessequals(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3831]) ).
cnf(c_0_3832_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3832]) ).
cnf(c_0_3832_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3832]) ).
cnf(c_0_3832_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_Transcendental_Opi,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Osin(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3832]) ).
cnf(c_0_3833_0,axiom,
( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3833]) ).
cnf(c_0_3833_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3833]) ).
cnf(c_0_3833_2,axiom,
( ~ class_Int_Onumber__ring(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3833]) ).
cnf(c_0_3833_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ class_Int_Onumber__ring(X2)
| ~ c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Ouminus__class_Ouminus(c_Int_Onumber__class_Onumber__of(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3833]) ).
cnf(c_0_3834_0,axiom,
( c_lessequals(X3,X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3834]) ).
cnf(c_0_3834_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_lessequals(X3,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3834]) ).
cnf(c_0_3834_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_lessequals(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3834]) ).
cnf(c_0_3835_0,axiom,
( c_HOL_Oord__class_Oless(X3,X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3835]) ).
cnf(c_0_3835_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3835]) ).
cnf(c_0_3835_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ouminus__class_Ouminus(X3,X2),X2)
| c_HOL_Oord__class_Oless(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3835]) ).
cnf(c_0_3836_0,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3836]) ).
cnf(c_0_3836_1,axiom,
( c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3836]) ).
cnf(c_0_3836_2,axiom,
( ~ class_Int_Onumber(X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3836]) ).
cnf(c_0_3836_3,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ class_Int_Onumber(X2)
| c_lessequals(c_Int_Onumber__class_Onumber__of(X3,X2),c_Int_Onumber__class_Onumber__of(X1,X2),X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_Int_Onumber__class_Onumber__of(X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3836]) ).
cnf(c_0_3837_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_3837]) ).
cnf(c_0_3837_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_3837]) ).
cnf(c_0_3838_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_3838]) ).
cnf(c_0_3838_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_3838]) ).
cnf(c_0_3839_0,axiom,
( c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3839]) ).
cnf(c_0_3839_1,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3839]) ).
cnf(c_0_3839_2,axiom,
( ~ c_lessequals(X2,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3839]) ).
cnf(c_0_3840_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2) = X4
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Oinverse__class_Odivide(X4,X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3840]) ).
cnf(c_0_3840_1,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2) = X4
| X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Oinverse__class_Odivide(X4,X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3840]) ).
cnf(c_0_3840_2,axiom,
( c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Oinverse__class_Odivide(X4,X1,X2)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2) = X4
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3840]) ).
cnf(c_0_3840_3,axiom,
( ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Oinverse__class_Odivide(X4,X1,X2)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2) = X4
| 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_3840]) ).
cnf(c_0_3840_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Oinverse__class_Odivide(X4,X1,X2)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2) = X4
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3840]) ).
cnf(c_0_3840_5,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Oinverse__class_Odivide(X4,X1,X2)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X3,X2),X1,X2) = X4
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3840]) ).
cnf(c_0_3841_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| X3 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X2),X1,X2)
| c_HOL_Oinverse__class_Odivide(X3,X1,X2) != c_Int_Onumber__class_Onumber__of(X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3841]) ).
cnf(c_0_3841_1,axiom,
( X3 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(X3,X1,X2) != c_Int_Onumber__class_Onumber__of(X4,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3841]) ).
cnf(c_0_3841_2,axiom,
( c_HOL_Oinverse__class_Odivide(X3,X1,X2) != c_Int_Onumber__class_Onumber__of(X4,X2)
| X3 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3841]) ).
cnf(c_0_3841_3,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(X3,X1,X2) != c_Int_Onumber__class_Onumber__of(X4,X2)
| X3 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X2),X1,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_3841]) ).
cnf(c_0_3841_4,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(X3,X1,X2) != c_Int_Onumber__class_Onumber__of(X4,X2)
| X3 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3841]) ).
cnf(c_0_3841_5,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(X3,X1,X2) != c_Int_Onumber__class_Onumber__of(X4,X2)
| X3 = c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(X4,X2),X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3841]) ).
cnf(c_0_3842_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_3842]) ).
cnf(c_0_3842_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_3842]) ).
cnf(c_0_3842_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_3842]) ).
cnf(c_0_3843_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3843]) ).
cnf(c_0_3843_1,axiom,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3843]) ).
cnf(c_0_3843_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3843]) ).
cnf(c_0_3844_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3844]) ).
cnf(c_0_3844_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3844]) ).
cnf(c_0_3844_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3844]) ).
cnf(c_0_3845_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3845]) ).
cnf(c_0_3845_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3845]) ).
cnf(c_0_3845_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3845]) ).
cnf(c_0_3846_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3846]) ).
cnf(c_0_3846_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3846]) ).
cnf(c_0_3846_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3846]) ).
cnf(c_0_3847_0,axiom,
( c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3847]) ).
cnf(c_0_3847_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3847]) ).
cnf(c_0_3847_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_lessequals(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3847]) ).
cnf(c_0_3848_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3848]) ).
cnf(c_0_3848_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3848]) ).
cnf(c_0_3848_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3848]) ).
cnf(c_0_3849_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3849]) ).
cnf(c_0_3849_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3849]) ).
cnf(c_0_3849_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3849]) ).
cnf(c_0_3850_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3850]) ).
cnf(c_0_3850_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3850]) ).
cnf(c_0_3850_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X3,X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3850]) ).
cnf(c_0_3851_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3851]) ).
cnf(c_0_3851_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3851]) ).
cnf(c_0_3851_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3851]) ).
cnf(c_0_3852_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3852]) ).
cnf(c_0_3852_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3852]) ).
cnf(c_0_3852_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3852]) ).
cnf(c_0_3853_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_3853]) ).
cnf(c_0_3853_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_3853]) ).
cnf(c_0_3853_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_3853]) ).
cnf(c_0_3854_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_3854]) ).
cnf(c_0_3854_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_3854]) ).
cnf(c_0_3855_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_3855]) ).
cnf(c_0_3855_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_3855]) ).
cnf(c_0_3856_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_3856]) ).
cnf(c_0_3856_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_3856]) ).
cnf(c_0_3857_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_3857]) ).
cnf(c_0_3857_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_3857]) ).
cnf(c_0_3858_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_3858]) ).
cnf(c_0_3858_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_3858]) ).
cnf(c_0_3859_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_3859]) ).
cnf(c_0_3859_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_3859]) ).
cnf(c_0_3860_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_3860]) ).
cnf(c_0_3860_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_3860]) ).
cnf(c_0_3861_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_3861]) ).
cnf(c_0_3861_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_3861]) ).
cnf(c_0_3862_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3862]) ).
cnf(c_0_3862_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3862]) ).
cnf(c_0_3862_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3862]) ).
cnf(c_0_3863_0,axiom,
( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3863]) ).
cnf(c_0_3863_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3863]) ).
cnf(c_0_3863_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3863]) ).
cnf(c_0_3864_0,axiom,
( c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3864]) ).
cnf(c_0_3864_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3864]) ).
cnf(c_0_3864_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ouminus__class_Ouminus(X2,X1),X1)
| c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3864]) ).
cnf(c_0_3865_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3865]) ).
cnf(c_0_3865_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3865]) ).
cnf(c_0_3865_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3865]) ).
cnf(c_0_3866_0,axiom,
( c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3866]) ).
cnf(c_0_3866_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3866]) ).
cnf(c_0_3866_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3866]) ).
cnf(c_0_3866_3,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3866]) ).
cnf(c_0_3867_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3867]) ).
cnf(c_0_3867_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3867]) ).
cnf(c_0_3867_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3867]) ).
cnf(c_0_3868_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3868]) ).
cnf(c_0_3868_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3868]) ).
cnf(c_0_3868_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X3),c_HOL_Ouminus__class_Ouminus(X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3868]) ).
cnf(c_0_3869_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3869]) ).
cnf(c_0_3869_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3869]) ).
cnf(c_0_3870_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3870]) ).
cnf(c_0_3870_1,axiom,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3870]) ).
cnf(c_0_3871_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_3871]) ).
cnf(c_0_3871_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_3871]) ).
cnf(c_0_3871_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_3871]) ).
cnf(c_0_3871_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_3871]) ).
cnf(c_0_3872_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_3872]) ).
cnf(c_0_3872_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_3872]) ).
cnf(c_0_3873_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_3873]) ).
cnf(c_0_3873_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_3873]) ).
cnf(c_0_3874_0,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3874]) ).
cnf(c_0_3874_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3874]) ).
cnf(c_0_3874_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3874]) ).
cnf(c_0_3875_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3875]) ).
cnf(c_0_3875_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3875]) ).
cnf(c_0_3875_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3875]) ).
cnf(c_0_3876_0,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3876]) ).
cnf(c_0_3876_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3876]) ).
cnf(c_0_3876_2,axiom,
( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
| ~ c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3876]) ).
cnf(c_0_3877_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3877]) ).
cnf(c_0_3877_1,axiom,
( ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3877]) ).
cnf(c_0_3877_2,axiom,
( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3877]) ).
cnf(c_0_3878_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3878]) ).
cnf(c_0_3878_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3878]) ).
cnf(c_0_3878_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3878]) ).
cnf(c_0_3879_0,axiom,
( X1 = X2
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3879]) ).
cnf(c_0_3879_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| X1 = X2
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3879]) ).
cnf(c_0_3879_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| X1 = X2
| c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3879]) ).
cnf(c_0_3879_3,axiom,
( c_Transcendental_Oln(X1) != c_Transcendental_Oln(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3879]) ).
cnf(c_0_3880_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_3880]) ).
cnf(c_0_3880_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_3880]) ).
cnf(c_0_3880_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_3880]) ).
cnf(c_0_3881_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_3881]) ).
cnf(c_0_3881_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_3881]) ).
cnf(c_0_3881_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_3881]) ).
cnf(c_0_3882_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3882]) ).
cnf(c_0_3882_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3882]) ).
cnf(c_0_3882_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3882]) ).
cnf(c_0_3883_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3883]) ).
cnf(c_0_3883_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3883]) ).
cnf(c_0_3883_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3883]) ).
cnf(c_0_3884_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3884]) ).
cnf(c_0_3884_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3884]) ).
cnf(c_0_3884_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3884]) ).
cnf(c_0_3885_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3885]) ).
cnf(c_0_3885_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3885]) ).
cnf(c_0_3885_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X2,X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3885]) ).
cnf(c_0_3886_0,axiom,
( c_lessequals(X1,X3,X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3886]) ).
cnf(c_0_3886_1,axiom,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_lessequals(X1,X3,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3886]) ).
cnf(c_0_3886_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_lessequals(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3886]) ).
cnf(c_0_3887_0,axiom,
( c_HOL_Oord__class_Oless(X1,X3,X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3887]) ).
cnf(c_0_3887_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(X1,X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3887]) ).
cnf(c_0_3887_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),X3,X2)
| c_HOL_Oord__class_Oless(X1,X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3887]) ).
cnf(c_0_3888_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_3888]) ).
cnf(c_0_3888_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_3888]) ).
cnf(c_0_3888_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_3888]) ).
cnf(c_0_3888_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_3888]) ).
cnf(c_0_3889_0,axiom,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3889]) ).
cnf(c_0_3889_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3889]) ).
cnf(c_0_3889_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3889]) ).
cnf(c_0_3890_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3890]) ).
cnf(c_0_3890_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3890]) ).
cnf(c_0_3890_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3890]) ).
cnf(c_0_3891_0,axiom,
( c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3891]) ).
cnf(c_0_3891_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3891]) ).
cnf(c_0_3891_2,axiom,
( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_lessequals(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3891]) ).
cnf(c_0_3892_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3892]) ).
cnf(c_0_3892_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1)
| ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3892]) ).
cnf(c_0_3892_2,axiom,
( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X2,X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3892]) ).
cnf(c_0_3893_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3893]) ).
cnf(c_0_3893_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3893]) ).
cnf(c_0_3893_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3893]) ).
cnf(c_0_3894_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_3894]) ).
cnf(c_0_3894_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_3894]) ).
cnf(c_0_3895_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_3895]) ).
cnf(c_0_3895_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_3895]) ).
cnf(c_0_3895_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_3895]) ).
cnf(c_0_3895_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_3895]) ).
cnf(c_0_3896_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_3896]) ).
cnf(c_0_3896_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_3896]) ).
cnf(c_0_3896_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_3896]) ).
cnf(c_0_3896_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_3896]) ).
cnf(c_0_3897_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_3897]) ).
cnf(c_0_3897_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_3897]) ).
cnf(c_0_3897_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_3897]) ).
cnf(c_0_3897_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_3897]) ).
cnf(c_0_3898_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_3898]) ).
cnf(c_0_3898_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_3898]) ).
cnf(c_0_3898_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_3898]) ).
cnf(c_0_3898_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_3898]) ).
cnf(c_0_3899_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3899]) ).
cnf(c_0_3899_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3899]) ).
cnf(c_0_3899_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3899]) ).
cnf(c_0_3899_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3899]) ).
cnf(c_0_3900_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3900]) ).
cnf(c_0_3900_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3900]) ).
cnf(c_0_3900_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3900]) ).
cnf(c_0_3900_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3900]) ).
cnf(c_0_3901_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3901]) ).
cnf(c_0_3901_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3901]) ).
cnf(c_0_3901_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3901]) ).
cnf(c_0_3901_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3901]) ).
cnf(c_0_3902_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2)
| ~ class_Ring__and__Field_Oordered__semidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3902]) ).
cnf(c_0_3902_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X2)
| c_HOL_Oord__class_Oless(X1,c_HOL_Oplus__class_Oplus(X1,c_HOL_Oone__class_Oone(X2),X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3902]) ).
cnf(c_0_3903_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_3903]) ).
cnf(c_0_3903_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_3903]) ).
cnf(c_0_3903_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_3903]) ).
cnf(c_0_3904_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_3904]) ).
cnf(c_0_3904_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_3904]) ).
cnf(c_0_3904_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_3904]) ).
cnf(c_0_3905_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_3905]) ).
cnf(c_0_3905_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_3905]) ).
cnf(c_0_3905_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_3905]) ).
cnf(c_0_3906_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_3906]) ).
cnf(c_0_3906_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_3906]) ).
cnf(c_0_3906_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_3906]) ).
cnf(c_0_3907_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_3907]) ).
cnf(c_0_3907_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_3907]) ).
cnf(c_0_3907_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_3907]) ).
cnf(c_0_3908_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3908]) ).
cnf(c_0_3908_1,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3908]) ).
cnf(c_0_3908_2,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3908]) ).
cnf(c_0_3909_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ c_lessequals(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3909]) ).
cnf(c_0_3909_1,axiom,
( ~ c_lessequals(X1,X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3909]) ).
cnf(c_0_3909_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_lessequals(X1,X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3909]) ).
cnf(c_0_3910_0,axiom,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3910]) ).
cnf(c_0_3910_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3910]) ).
cnf(c_0_3910_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3910]) ).
cnf(c_0_3911_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3911]) ).
cnf(c_0_3911_1,axiom,
( ~ c_lessequals(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3911]) ).
cnf(c_0_3911_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3911]) ).
cnf(c_0_3912_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3912]) ).
cnf(c_0_3912_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3912]) ).
cnf(c_0_3912_2,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3912]) ).
cnf(c_0_3913_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3913]) ).
cnf(c_0_3913_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3913]) ).
cnf(c_0_3913_2,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3913]) ).
cnf(c_0_3914_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3914]) ).
cnf(c_0_3914_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3914]) ).
cnf(c_0_3914_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3914]) ).
cnf(c_0_3915_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3915]) ).
cnf(c_0_3915_1,axiom,
( ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3915]) ).
cnf(c_0_3915_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3915]) ).
cnf(c_0_3916_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_3916]) ).
cnf(c_0_3916_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_3916]) ).
cnf(c_0_3916_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_3916]) ).
cnf(c_0_3917_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1)
| ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3917]) ).
cnf(c_0_3917_1,axiom,
( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3917]) ).
cnf(c_0_3918_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_3918]) ).
cnf(c_0_3918_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_3918]) ).
cnf(c_0_3918_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_3918]) ).
cnf(c_0_3919_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_3919]) ).
cnf(c_0_3919_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_3919]) ).
cnf(c_0_3919_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_3919]) ).
cnf(c_0_3920_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_3920]) ).
cnf(c_0_3920_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_3920]) ).
cnf(c_0_3920_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_3920]) ).
cnf(c_0_3921_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3921]) ).
cnf(c_0_3921_1,axiom,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3921]) ).
cnf(c_0_3922_0,axiom,
( X1 = X2
| X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3922]) ).
cnf(c_0_3922_1,axiom,
( X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = X2
| c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3922]) ).
cnf(c_0_3922_2,axiom,
( c_HOL_Otimes__class_Otimes(X1,X3,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X2,X3,tc_RealDef_Oreal)
| X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3922]) ).
cnf(c_0_3923_0,axiom,
( X1 = X2
| X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3923]) ).
cnf(c_0_3923_1,axiom,
( X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = X2
| c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3923]) ).
cnf(c_0_3923_2,axiom,
( c_HOL_Otimes__class_Otimes(X3,X1,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X3,X2,tc_RealDef_Oreal)
| X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3923]) ).
cnf(c_0_3924_0,axiom,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3924]) ).
cnf(c_0_3924_1,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3924]) ).
cnf(c_0_3924_2,axiom,
( ~ c_lessequals(X2,X1,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3924]) ).
cnf(c_0_3925_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_3925]) ).
cnf(c_0_3925_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_3925]) ).
cnf(c_0_3926_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_3926]) ).
cnf(c_0_3926_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_3926]) ).
cnf(c_0_3927_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_3927]) ).
cnf(c_0_3927_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_3927]) ).
cnf(c_0_3928_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_3928]) ).
cnf(c_0_3928_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_3928]) ).
cnf(c_0_3929_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_3929]) ).
cnf(c_0_3929_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_3929]) ).
cnf(c_0_3930_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_3930]) ).
cnf(c_0_3930_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_3930]) ).
cnf(c_0_3931_0,axiom,
( c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X2),X2) = c_HOL_Oplus__class_Oplus(X1,X1,X2)
| ~ class_Int_Onumber__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3931]) ).
cnf(c_0_3931_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X2),X2) = c_HOL_Oplus__class_Oplus(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3931]) ).
cnf(c_0_3932_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X2,X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3932]) ).
cnf(c_0_3932_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1),X2,X1) = c_HOL_Oplus__class_Oplus(X2,X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3932]) ).
cnf(c_0_3933_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3933]) ).
cnf(c_0_3933_1,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X1,X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3933]) ).
cnf(c_0_3934_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3934]) ).
cnf(c_0_3934_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3934]) ).
cnf(c_0_3935_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3935]) ).
cnf(c_0_3935_1,axiom,
( c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3935]) ).
cnf(c_0_3935_2,axiom,
( ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
| c_Int_Onumber__class_Onumber__of(X1,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_3935]) ).
cnf(c_0_3935_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3935]) ).
cnf(c_0_3935_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2) != c_Int_Onumber__class_Onumber__of(X1,X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3935]) ).
cnf(c_0_3936_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3936]) ).
cnf(c_0_3936_1,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3936]) ).
cnf(c_0_3936_2,axiom,
( ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_Int_Onumber__class_Onumber__of(X1,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_3936]) ).
cnf(c_0_3936_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3936]) ).
cnf(c_0_3936_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3936]) ).
cnf(c_0_3937_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3937]) ).
cnf(c_0_3937_1,axiom,
( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3937]) ).
cnf(c_0_3938_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3938]) ).
cnf(c_0_3938_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3938]) ).
cnf(c_0_3939_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3939]) ).
cnf(c_0_3939_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3939]) ).
cnf(c_0_3940_0,axiom,
( c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3940]) ).
cnf(c_0_3940_1,axiom,
( c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3940]) ).
cnf(c_0_3940_2,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3940]) ).
cnf(c_0_3940_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ class_Int_Onumber__ring(X2)
| c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_Int_Onumber__class_Onumber__of(X1,X2)
| c_HOL_Oord__class_Oless(c_Int_Onumber__class_Onumber__of(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3940]) ).
cnf(c_0_3941_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3941]) ).
cnf(c_0_3941_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3941]) ).
cnf(c_0_3942_0,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3942]) ).
cnf(c_0_3942_1,axiom,
( ~ c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3942]) ).
cnf(c_0_3943_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3943]) ).
cnf(c_0_3943_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3943]) ).
cnf(c_0_3944_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3944]) ).
cnf(c_0_3944_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3944]) ).
cnf(c_0_3945_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3945]) ).
cnf(c_0_3945_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3945]) ).
cnf(c_0_3946_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3946]) ).
cnf(c_0_3946_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3946]) ).
cnf(c_0_3947_0,axiom,
( c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3947]) ).
cnf(c_0_3947_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3947]) ).
cnf(c_0_3948_0,axiom,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3948]) ).
cnf(c_0_3948_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3948]) ).
cnf(c_0_3949_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3949]) ).
cnf(c_0_3949_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3949]) ).
cnf(c_0_3950_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3950]) ).
cnf(c_0_3950_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X1),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3950]) ).
cnf(c_0_3951_0,axiom,
( X2 = X1
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3951]) ).
cnf(c_0_3951_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3951]) ).
cnf(c_0_3951_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3951]) ).
cnf(c_0_3951_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X2 = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3951]) ).
cnf(c_0_3952_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3952]) ).
cnf(c_0_3952_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3952]) ).
cnf(c_0_3952_2,axiom,
( ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3952]) ).
cnf(c_0_3952_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3952]) ).
cnf(c_0_3953_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3953]) ).
cnf(c_0_3953_1,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3953]) ).
cnf(c_0_3953_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3953]) ).
cnf(c_0_3953_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3953]) ).
cnf(c_0_3954_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3954]) ).
cnf(c_0_3954_1,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3954]) ).
cnf(c_0_3954_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3954]) ).
cnf(c_0_3954_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3954]) ).
cnf(c_0_3955_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3955]) ).
cnf(c_0_3955_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3955]) ).
cnf(c_0_3955_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3955]) ).
cnf(c_0_3955_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3955]) ).
cnf(c_0_3956_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3956]) ).
cnf(c_0_3956_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3956]) ).
cnf(c_0_3956_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3956]) ).
cnf(c_0_3956_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3956]) ).
cnf(c_0_3957_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3957]) ).
cnf(c_0_3957_1,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3957]) ).
cnf(c_0_3957_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3957]) ).
cnf(c_0_3957_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3957]) ).
cnf(c_0_3958_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3958]) ).
cnf(c_0_3958_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3958]) ).
cnf(c_0_3958_2,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3958]) ).
cnf(c_0_3958_3,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3958]) ).
cnf(c_0_3959_0,axiom,
( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3959]) ).
cnf(c_0_3959_1,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3959]) ).
cnf(c_0_3960_0,axiom,
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3960]) ).
cnf(c_0_3960_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3960]) ).
cnf(c_0_3961_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3961]) ).
cnf(c_0_3961_1,axiom,
( ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3961]) ).
cnf(c_0_3961_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3961]) ).
cnf(c_0_3962_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3962]) ).
cnf(c_0_3962_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3962]) ).
cnf(c_0_3962_2,axiom,
( ~ class_Orderings_Opreorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3962]) ).
cnf(c_0_3963_0,axiom,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3963]) ).
cnf(c_0_3963_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3963]) ).
cnf(c_0_3963_2,axiom,
( ~ class_Orderings_Oorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3963]) ).
cnf(c_0_3964_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3964]) ).
cnf(c_0_3964_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Oln(X1),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3964]) ).
cnf(c_0_3965_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3965]) ).
cnf(c_0_3965_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X1,X2),X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3965]) ).
cnf(c_0_3966_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3966]) ).
cnf(c_0_3966_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X1,X2),c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3966]) ).
cnf(c_0_3967_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_3967]) ).
cnf(c_0_3967_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_3967]) ).
cnf(c_0_3968_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_3968]) ).
cnf(c_0_3968_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_3968]) ).
cnf(c_0_3969_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_3969]) ).
cnf(c_0_3969_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_3969]) ).
cnf(c_0_3970_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_3970]) ).
cnf(c_0_3970_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_3970]) ).
cnf(c_0_3971_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_3971]) ).
cnf(c_0_3971_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_3971]) ).
cnf(c_0_3972_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3972]) ).
cnf(c_0_3972_1,axiom,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3972]) ).
cnf(c_0_3972_2,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3972]) ).
cnf(c_0_3973_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3973]) ).
cnf(c_0_3973_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3973]) ).
cnf(c_0_3973_2,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3973]) ).
cnf(c_0_3974_0,axiom,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3974]) ).
cnf(c_0_3974_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3974]) ).
cnf(c_0_3974_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3974]) ).
cnf(c_0_3974_3,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3974]) ).
cnf(c_0_3975_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3975]) ).
cnf(c_0_3975_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3975]) ).
cnf(c_0_3976_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3976]) ).
cnf(c_0_3976_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X1,X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3976]) ).
cnf(c_0_3977_0,axiom,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3)
| c_Int_Onumber__class_Onumber__of(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3977_1,axiom,
( c_Int_Onumber__class_Onumber__of(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3)
| ~ class_Int_Onumber(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3977_2,axiom,
( ~ class_Int_Onumber(X3)
| c_Int_Onumber__class_Onumber__of(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3977_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| c_Int_Onumber__class_Onumber__of(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3)
| ~ class_Ring__and__Field_Ofield(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3977_4,axiom,
( ~ class_Ring__and__Field_Ofield(X3)
| ~ class_Ring__and__Field_Odivision__by__zero(X3)
| ~ class_Int_Onumber(X3)
| c_Int_Onumber__class_Onumber__of(X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(X2,X3),X3) = c_HOL_Ozero__class_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3977]) ).
cnf(c_0_3978_0,axiom,
( c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3978]) ).
cnf(c_0_3978_1,axiom,
( c_Int_Onumber__class_Onumber__of(X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3978]) ).
cnf(c_0_3978_2,axiom,
( ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,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_3978]) ).
cnf(c_0_3978_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ofield(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3978]) ).
cnf(c_0_3978_4,axiom,
( ~ class_Ring__and__Field_Ofield(X1)
| ~ class_Ring__and__Field_Odivision__by__zero(X1)
| ~ class_Int_Onumber(X1)
| c_Int_Onumber__class_Onumber__of(X3,X1) != c_HOL_Ozero__class_Ozero(X1)
| c_HOL_Oinverse__class_Odivide(X2,c_Int_Onumber__class_Onumber__of(X3,X1),X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3978]) ).
cnf(c_0_3979_0,axiom,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3979]) ).
cnf(c_0_3979_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3979]) ).
cnf(c_0_3979_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3979]) ).
cnf(c_0_3980_0,axiom,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3980]) ).
cnf(c_0_3980_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3980]) ).
cnf(c_0_3980_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3980]) ).
cnf(c_0_3981_0,axiom,
( c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oabs__if(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3981]) ).
cnf(c_0_3981_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2)
| ~ class_Ring__and__Field_Oabs__if(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3981]) ).
cnf(c_0_3981_2,axiom,
( ~ class_Ring__and__Field_Oabs__if(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = c_HOL_Ouminus__class_Ouminus(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3981]) ).
cnf(c_0_3982_0,axiom,
( X1 = X2
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3982]) ).
cnf(c_0_3982_1,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3982]) ).
cnf(c_0_3983_0,axiom,
( c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3983]) ).
cnf(c_0_3983_1,axiom,
( c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3983]) ).
cnf(c_0_3983_2,axiom,
( ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3983]) ).
cnf(c_0_3983_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_Int_Onumber__class_Onumber__of(X3,X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3983]) ).
cnf(c_0_3983_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_HOL_Ozero__class_Ozero(X2),X2) = c_Int_Onumber__class_Onumber__of(X3,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3983]) ).
cnf(c_0_3984_0,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3984]) ).
cnf(c_0_3984_1,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Int_Onumber(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3984]) ).
cnf(c_0_3984_2,axiom,
( ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3984]) ).
cnf(c_0_3984_3,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3984]) ).
cnf(c_0_3984_4,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| c_Int_Onumber__class_Onumber__of(X1,X2) = c_HOL_Oinverse__class_Odivide(X3,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3984]) ).
cnf(c_0_3985_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3985]) ).
cnf(c_0_3985_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3985]) ).
cnf(c_0_3985_2,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3985]) ).
cnf(c_0_3985_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3985]) ).
cnf(c_0_3986_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3986]) ).
cnf(c_0_3986_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3986]) ).
cnf(c_0_3986_2,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3986]) ).
cnf(c_0_3986_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3986]) ).
cnf(c_0_3987_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X2 = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3987]) ).
cnf(c_0_3987_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X2 = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3987]) ).
cnf(c_0_3987_2,axiom,
( X2 = X1
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3987]) ).
cnf(c_0_3987_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| X2 = X1
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3987]) ).
cnf(c_0_3988_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3988]) ).
cnf(c_0_3988_1,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3988]) ).
cnf(c_0_3988_2,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3988]) ).
cnf(c_0_3988_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3988]) ).
cnf(c_0_3989_0,axiom,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3989]) ).
cnf(c_0_3989_1,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3989]) ).
cnf(c_0_3989_2,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3989]) ).
cnf(c_0_3989_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3989]) ).
cnf(c_0_3990_0,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3990]) ).
cnf(c_0_3990_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3990]) ).
cnf(c_0_3990_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oabs__class_Oabs(X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3990]) ).
cnf(c_0_3991_0,axiom,
( c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3991]) ).
cnf(c_0_3991_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oabs__class_Oabs(X2,X1) = X2
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3991]) ).
cnf(c_0_3991_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oabs__class_Oabs(X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3991]) ).
cnf(c_0_3992_0,axiom,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3992]) ).
cnf(c_0_3992_1,axiom,
( c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3992]) ).
cnf(c_0_3992_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3992]) ).
cnf(c_0_3993_0,axiom,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3993]) ).
cnf(c_0_3993_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3993]) ).
cnf(c_0_3993_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3993]) ).
cnf(c_0_3994_0,axiom,
( c_lessequals(X1,X1,X2)
| c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3994]) ).
cnf(c_0_3994_1,axiom,
( c_HOL_Oord__class_Oless(X1,X1,X2)
| c_lessequals(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3994]) ).
cnf(c_0_3994_2,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_HOL_Oord__class_Oless(X1,X1,X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3994]) ).
cnf(c_0_3995_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3995]) ).
cnf(c_0_3995_1,axiom,
( c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3995]) ).
cnf(c_0_3995_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3)
| c_HOL_Oord__class_Oless(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3995]) ).
cnf(c_0_3996_0,axiom,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3996]) ).
cnf(c_0_3996_1,axiom,
( c_HOL_Oord__class_Oless(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3996]) ).
cnf(c_0_3996_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3996]) ).
cnf(c_0_3997_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_3997]) ).
cnf(c_0_3997_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_3997]) ).
cnf(c_0_3998_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_3998]) ).
cnf(c_0_3998_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_3998]) ).
cnf(c_0_3999_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_3999]) ).
cnf(c_0_3999_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_3999]) ).
cnf(c_0_4000_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_4000]) ).
cnf(c_0_4000_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_4000]) ).
cnf(c_0_4001_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_4001]) ).
cnf(c_0_4001_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_4001]) ).
cnf(c_0_4002_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_4002]) ).
cnf(c_0_4002_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_4002]) ).
cnf(c_0_4002_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_4002]) ).
cnf(c_0_4003_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_4003]) ).
cnf(c_0_4003_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_4003]) ).
cnf(c_0_4003_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_4003]) ).
cnf(c_0_4004_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_4004]) ).
cnf(c_0_4004_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_4004]) ).
cnf(c_0_4005_0,axiom,
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4005]) ).
cnf(c_0_4005_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X1,X2),c_HOL_Oabs__class_Oabs(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4005]) ).
cnf(c_0_4006_0,axiom,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4006]) ).
cnf(c_0_4006_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4006]) ).
cnf(c_0_4007_0,axiom,
( ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4007]) ).
cnf(c_0_4007_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_4007]) ).
cnf(c_0_4008_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4008]) ).
cnf(c_0_4008_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_4008]) ).
cnf(c_0_4009_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_4009]) ).
cnf(c_0_4009_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_4009]) ).
cnf(c_0_4009_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_4009]) ).
cnf(c_0_4009_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_4009]) ).
cnf(c_0_4010_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_4010]) ).
cnf(c_0_4010_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_4010]) ).
cnf(c_0_4010_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_4010]) ).
cnf(c_0_4010_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_4010]) ).
cnf(c_0_4011_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_4011]) ).
cnf(c_0_4011_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_4011]) ).
cnf(c_0_4011_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_4011]) ).
cnf(c_0_4011_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_4011]) ).
cnf(c_0_4012_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_4012]) ).
cnf(c_0_4012_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_4012]) ).
cnf(c_0_4012_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_4012]) ).
cnf(c_0_4012_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_4012]) ).
cnf(c_0_4013_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_4013]) ).
cnf(c_0_4013_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_4013]) ).
cnf(c_0_4013_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_4013]) ).
cnf(c_0_4013_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_4013]) ).
cnf(c_0_4014_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_4014]) ).
cnf(c_0_4014_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_4014]) ).
cnf(c_0_4014_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_4014]) ).
cnf(c_0_4014_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_4014]) ).
cnf(c_0_4015_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4015]) ).
cnf(c_0_4015_1,axiom,
( c_lessequals(X2,X1,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4015]) ).
cnf(c_0_4016_0,axiom,
( c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4016]) ).
cnf(c_0_4016_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_4016]) ).
cnf(c_0_4017_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_4017]) ).
cnf(c_0_4017_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_4017]) ).
cnf(c_0_4017_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_4017]) ).
cnf(c_0_4018_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4018]) ).
cnf(c_0_4018_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4018]) ).
cnf(c_0_4018_2,axiom,
( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4018]) ).
cnf(c_0_4019_0,axiom,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4019]) ).
cnf(c_0_4019_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,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_4019]) ).
cnf(c_0_4019_2,axiom,
( ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber__ring(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X2),X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4019]) ).
cnf(c_0_4019_3,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Ring__and__Field_Odivision__by__zero(X2)
| ~ class_Int_Onumber__ring(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X2),X2) = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4019]) ).
cnf(c_0_4020_0,axiom,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4020]) ).
cnf(c_0_4020_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4020]) ).
cnf(c_0_4020_2,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Int_Onumber__ring(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4020]) ).
cnf(c_0_4021_0,axiom,
( c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Int_Onumber__ring(X2)
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4021]) ).
cnf(c_0_4021_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Ring__and__Field_Ofield(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4021]) ).
cnf(c_0_4021_2,axiom,
( ~ class_Ring__and__Field_Ofield(X2)
| ~ class_Int_Onumber__ring(X2)
| c_HOL_Oinverse__class_Odivide(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4021]) ).
cnf(c_0_4022_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4022]) ).
cnf(c_0_4022_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4022]) ).
cnf(c_0_4023_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_4023]) ).
cnf(c_0_4023_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_4023]) ).
cnf(c_0_4023_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_4023]) ).
cnf(c_0_4024_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_4024]) ).
cnf(c_0_4024_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_4024]) ).
cnf(c_0_4024_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_4024]) ).
cnf(c_0_4025_0,axiom,
( X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal)
| c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4025]) ).
cnf(c_0_4025_1,axiom,
( c_HOL_Oplus__class_Oplus(X2,X1,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = c_HOL_Ouminus__class_Ouminus(X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4025]) ).
cnf(c_0_4026_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4026]) ).
cnf(c_0_4026_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Oone__class_Oone(X1),c_HOL_Oone__class_Oone(X1),X1) = c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_4026]) ).
cnf(c_0_4027_0,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4027]) ).
cnf(c_0_4027_1,axiom,
( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4027]) ).
cnf(c_0_4028_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4028]) ).
cnf(c_0_4028_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4028]) ).
cnf(c_0_4028_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),c_HOL_Oabs__class_Oabs(X1,X2),X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4028]) ).
cnf(c_0_4029_0,axiom,
( c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1
| ~ class_Int_Onumber__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4029]) ).
cnf(c_0_4029_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Otimes__class_Otimes(X1,c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4029]) ).
cnf(c_0_4030_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4030]) ).
cnf(c_0_4030_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_HOL_Otimes__class_Otimes(c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1),X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4030]) ).
cnf(c_0_4031_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4031]) ).
cnf(c_0_4031_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4031]) ).
cnf(c_0_4031_2,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4031]) ).
cnf(c_0_4032_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4032]) ).
cnf(c_0_4032_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oabs__class_Oabs(X2,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_4032]) ).
cnf(c_0_4033_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4033]) ).
cnf(c_0_4033_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4033]) ).
cnf(c_0_4034_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4034]) ).
cnf(c_0_4034_1,axiom,
( ~ class_Orderings_Oorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4034]) ).
cnf(c_0_4035_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4035]) ).
cnf(c_0_4035_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4035]) ).
cnf(c_0_4036_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_4036]) ).
cnf(c_0_4036_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_4036]) ).
cnf(c_0_4037_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_4037]) ).
cnf(c_0_4037_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_4037]) ).
cnf(c_0_4038_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_4038]) ).
cnf(c_0_4038_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_4038]) ).
cnf(c_0_4039_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_4039]) ).
cnf(c_0_4039_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_4039]) ).
cnf(c_0_4040_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = X1
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4040]) ).
cnf(c_0_4040_1,axiom,
( c_HOL_Oabs__class_Oabs(X1,X2) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4040]) ).
cnf(c_0_4040_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4040]) ).
cnf(c_0_4040_3,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4040]) ).
cnf(c_0_4041_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_Int_Onumber__ring(X2)
| ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4041]) ).
cnf(c_0_4041_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra__1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4041]) ).
cnf(c_0_4041_2,axiom,
( ~ class_RealVector_Oreal__normed__algebra__1(X2)
| ~ class_Int_Onumber__ring(X2)
| c_RealVector_Onorm__class_Onorm(c_Int_Onumber__class_Onumber__of(X1,X2),X2) = c_HOL_Oabs__class_Oabs(c_Int_Onumber__class_Onumber__of(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4041]) ).
cnf(c_0_4042_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4042]) ).
cnf(c_0_4042_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4042]) ).
cnf(c_0_4043_0,axiom,
( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4043]) ).
cnf(c_0_4043_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4043]) ).
cnf(c_0_4044_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X2),X2) = X1
| ~ class_Int_Onumber__ring(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4044]) ).
cnf(c_0_4044_1,axiom,
( ~ class_Int_Onumber__ring(X2)
| c_HOL_Oplus__class_Oplus(X1,c_Int_Onumber__class_Onumber__of(c_Int_OPls,X2),X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4044]) ).
cnf(c_0_4045_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X2,X1) = X2
| ~ class_Int_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4045]) ).
cnf(c_0_4045_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_HOL_Oplus__class_Oplus(c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1),X2,X1) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4045]) ).
cnf(c_0_4046_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_4046]) ).
cnf(c_0_4046_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_4046]) ).
cnf(c_0_4046_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_4046]) ).
cnf(c_0_4047_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = X1
| ~ class_Ring__and__Field_Oabs__if(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4047]) ).
cnf(c_0_4047_1,axiom,
( c_HOL_Oabs__class_Oabs(X1,X2) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oabs__if(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4047]) ).
cnf(c_0_4047_2,axiom,
( ~ class_Ring__and__Field_Oabs__if(X2)
| c_HOL_Oabs__class_Oabs(X1,X2) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_4047]) ).
cnf(c_0_4048_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_4048]) ).
cnf(c_0_4048_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_4048]) ).
cnf(c_0_4049_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_4049]) ).
cnf(c_0_4049_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_4049]) ).
cnf(c_0_4049_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_4049]) ).
cnf(c_0_4050_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_4050]) ).
cnf(c_0_4050_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_4050]) ).
cnf(c_0_4050_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_4050]) ).
cnf(c_0_4051_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_4051]) ).
cnf(c_0_4051_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_4051]) ).
cnf(c_0_4051_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_4051]) ).
cnf(c_0_4052_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_4052]) ).
cnf(c_0_4052_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_4052]) ).
cnf(c_0_4052_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_4052]) ).
cnf(c_0_4052_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_4052]) ).
cnf(c_0_4053_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_4053]) ).
cnf(c_0_4053_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_4053]) ).
cnf(c_0_4054_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_4054]) ).
cnf(c_0_4054_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_4054]) ).
cnf(c_0_4054_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_4054]) ).
cnf(c_0_4055_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4055]) ).
cnf(c_0_4055_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_4055]) ).
cnf(c_0_4056_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4056]) ).
cnf(c_0_4056_1,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_HOL_Oone__class_Oone(X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_4056]) ).
cnf(c_0_4057_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_4057]) ).
cnf(c_0_4057_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_4057]) ).
cnf(c_0_4057_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_4057]) ).
cnf(c_0_4058_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_4058]) ).
cnf(c_0_4058_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_4058]) ).
cnf(c_0_4059_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_4059]) ).
cnf(c_0_4059_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_4059]) ).
cnf(c_0_4060_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_4060]) ).
cnf(c_0_4060_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_4060]) ).
cnf(c_0_4061_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_4061]) ).
cnf(c_0_4061_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_4061]) ).
cnf(c_0_4062_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_4062]) ).
cnf(c_0_4062_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_4062]) ).
cnf(c_0_4063_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_4063]) ).
cnf(c_0_4063_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_4063]) ).
cnf(c_0_4064_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_4064]) ).
cnf(c_0_4064_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_4064]) ).
cnf(c_0_4065_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_4065]) ).
cnf(c_0_4065_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_4065]) ).
cnf(c_0_4066_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_4066]) ).
cnf(c_0_4066_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_4066]) ).
cnf(c_0_4067_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_4067]) ).
cnf(c_0_4067_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_4067]) ).
cnf(c_0_4068_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_4068]) ).
cnf(c_0_4068_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_4068]) ).
cnf(c_0_4069_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_4069]) ).
cnf(c_0_4069_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_4069]) ).
cnf(c_0_4070_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_4070]) ).
cnf(c_0_4070_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_4070]) ).
cnf(c_0_4071_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_4071]) ).
cnf(c_0_4071_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_4071]) ).
cnf(c_0_4071_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_4071]) ).
cnf(c_0_4072_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_4072]) ).
cnf(c_0_4072_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_4072]) ).
cnf(c_0_4072_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_4072]) ).
cnf(c_0_4073_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4073]) ).
cnf(c_0_4073_1,axiom,
( c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) = X1
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4073]) ).
cnf(c_0_4074_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_4074]) ).
cnf(c_0_4074_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_4074]) ).
cnf(c_0_4075_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_4075]) ).
cnf(c_0_4075_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_4075]) ).
cnf(c_0_4076_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_4076]) ).
cnf(c_0_4076_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_4076]) ).
cnf(c_0_4077_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_4077]) ).
cnf(c_0_4077_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_4077]) ).
cnf(c_0_4078_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_4078]) ).
cnf(c_0_4078_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_4078]) ).
cnf(c_0_4079_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_4079]) ).
cnf(c_0_4079_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_4079]) ).
cnf(c_0_4080_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_4080]) ).
cnf(c_0_4080_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_4080]) ).
cnf(c_0_4081_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_4081]) ).
cnf(c_0_4081_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_4081]) ).
cnf(c_0_4082_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_4082]) ).
cnf(c_0_4082_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_4082]) ).
cnf(c_0_4083_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_4083]) ).
cnf(c_0_4083_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_4083]) ).
cnf(c_0_4084_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_4084]) ).
cnf(c_0_4084_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_4084]) ).
cnf(c_0_4085_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_4085]) ).
cnf(c_0_4085_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_4085]) ).
cnf(c_0_4086_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_4086]) ).
cnf(c_0_4086_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_4086]) ).
cnf(c_0_4087_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_4087]) ).
cnf(c_0_4087_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_4087]) ).
cnf(c_0_4088_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_4088]) ).
cnf(c_0_4088_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_4088]) ).
cnf(c_0_4089_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_4089]) ).
cnf(c_0_4089_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_4089]) ).
cnf(c_0_4090_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_4090]) ).
cnf(c_0_4090_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_4090]) ).
cnf(c_0_4091_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_4091]) ).
cnf(c_0_4091_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_4091]) ).
cnf(c_0_4092_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_4092]) ).
cnf(c_0_4092_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_4092]) ).
cnf(c_0_4093_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4093]) ).
cnf(c_0_4093_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4093]) ).
cnf(c_0_4094_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4094]) ).
cnf(c_0_4094_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4094]) ).
cnf(c_0_4095_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_4095]) ).
cnf(c_0_4095_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_4095]) ).
cnf(c_0_4096_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_4096]) ).
cnf(c_0_4096_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_4096]) ).
cnf(c_0_4097_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4097]) ).
cnf(c_0_4097_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_RealVector_Onorm__class_Onorm(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4097]) ).
cnf(c_0_4098_0,axiom,
( X1 = X2
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| ~ class_Int_Onumber__ring(X3)
| ~ class_Int_Oring__char__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4098]) ).
cnf(c_0_4098_1,axiom,
( c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| X1 = X2
| ~ class_Int_Onumber__ring(X3)
| ~ class_Int_Oring__char__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4098]) ).
cnf(c_0_4098_2,axiom,
( ~ class_Int_Onumber__ring(X3)
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| X1 = X2
| ~ class_Int_Oring__char__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_4098]) ).
cnf(c_0_4098_3,axiom,
( ~ class_Int_Oring__char__0(X3)
| ~ class_Int_Onumber__ring(X3)
| c_Int_Onumber__class_Onumber__of(X1,X3) != c_Int_Onumber__class_Onumber__of(X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4098]) ).
cnf(c_0_4099_0,axiom,
( c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4099]) ).
cnf(c_0_4099_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X1,X2),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_4099]) ).
cnf(c_0_4100_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_4100]) ).
cnf(c_0_4100_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_4100]) ).
cnf(c_0_4100_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_4100]) ).
cnf(c_0_4101_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_4101]) ).
cnf(c_0_4101_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_4101]) ).
cnf(c_0_4101_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_4101]) ).
cnf(c_0_4102_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_4102]) ).
cnf(c_0_4102_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_4102]) ).
cnf(c_0_4103_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_4103]) ).
cnf(c_0_4103_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_4103]) ).
cnf(c_0_4104_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_4104]) ).
cnf(c_0_4104_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_4104]) ).
cnf(c_0_4105_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_4105]) ).
cnf(c_0_4105_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_4105]) ).
cnf(c_0_4106_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_4106]) ).
cnf(c_0_4106_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_4106]) ).
cnf(c_0_4107_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_4107]) ).
cnf(c_0_4107_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_4107]) ).
cnf(c_0_4107_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_4107]) ).
cnf(c_0_4108_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_4108]) ).
cnf(c_0_4108_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_4108]) ).
cnf(c_0_4108_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_4108]) ).
cnf(c_0_4109_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_4109]) ).
cnf(c_0_4109_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_4109]) ).
cnf(c_0_4109_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_4109]) ).
cnf(c_0_4110_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4110]) ).
cnf(c_0_4110_1,axiom,
( c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__vector(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4110]) ).
cnf(c_0_4110_2,axiom,
( ~ class_RealVector_Oreal__normed__vector(X2)
| c_RealVector_Onorm__class_Onorm(X1,X2) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4110]) ).
cnf(c_0_4111_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_4111]) ).
cnf(c_0_4111_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_4111]) ).
cnf(c_0_4111_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_4111]) ).
cnf(c_0_4112_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_4112]) ).
cnf(c_0_4112_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_4112]) ).
cnf(c_0_4113_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_4113]) ).
cnf(c_0_4113_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_4113]) ).
cnf(c_0_4114_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_4114]) ).
cnf(c_0_4114_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_4114]) ).
cnf(c_0_4115_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_4115]) ).
cnf(c_0_4115_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_4115]) ).
cnf(c_0_4116_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_4116]) ).
cnf(c_0_4116_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_4116]) ).
cnf(c_0_4117_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__vector(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4117]) ).
cnf(c_0_4117_1,axiom,
( ~ class_RealVector_Oreal__normed__vector(X1)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4117]) ).
cnf(c_0_4118_0,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4118]) ).
cnf(c_0_4118_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1) = c_HOL_Oone__class_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4118]) ).
cnf(c_0_4119_0,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1) = c_HOL_Oone__class_Oone(X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4119]) ).
cnf(c_0_4119_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_Int_Onumber__class_Onumber__of(c_Int_OBit1(c_Int_OPls),X1) = c_HOL_Oone__class_Oone(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4119]) ).
cnf(c_0_4120_0,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4120]) ).
cnf(c_0_4120_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4120]) ).
cnf(c_0_4121_0,axiom,
( c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Int_Onumber__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4121]) ).
cnf(c_0_4121_1,axiom,
( ~ class_Int_Onumber__ring(X1)
| c_Int_Onumber__class_Onumber__of(c_Int_OPls,X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4121]) ).
cnf(c_0_4122_0,axiom,
( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4122]) ).
cnf(c_0_4122_1,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4122]) ).
cnf(c_0_4123_0,axiom,
( c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4123]) ).
cnf(c_0_4123_1,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X1)
| c_HOL_Oone__class_Oone(X1) != c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_4123]) ).
cnf(c_0_4124_0,axiom,
( X1 = X2
| c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4124]) ).
cnf(c_0_4124_1,axiom,
( c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4124]) ).
cnf(c_0_4125_0,axiom,
( X1 = X2
| c_Int_OBit0(X1) != c_Int_OBit0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4125]) ).
cnf(c_0_4125_1,axiom,
( c_Int_OBit0(X1) != c_Int_OBit0(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4125]) ).
cnf(c_0_4126_0,axiom,
( X1 = X2
| c_Int_OBit1(X1) != c_Int_OBit1(X2) ),
inference(literals_permutation,[status(thm)],[c_0_4126]) ).
cnf(c_0_4126_1,axiom,
( c_Int_OBit1(X1) != c_Int_OBit1(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_4126]) ).
cnf(c_0_4127_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4127]) ).
cnf(c_0_4127_1,axiom,
( c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_4127]) ).
cnf(c_0_4128_0,axiom,
( X1 = c_Int_OPls
| c_Int_OBit0(X1) != c_Int_OPls ),
inference(literals_permutation,[status(thm)],[c_0_4128]) ).
cnf(c_0_4128_1,axiom,
( c_Int_OBit0(X1) != c_Int_OPls
| X1 = c_Int_OPls ),
inference(literals_permutation,[status(thm)],[c_0_4128]) ).
cnf(c_0_4129_0,axiom,
( c_Int_OPls = X1
| c_Int_OBit0(X1) != c_Int_OPls ),
inference(literals_permutation,[status(thm)],[c_0_4129]) ).
cnf(c_0_4129_1,axiom,
( c_Int_OBit0(X1) != c_Int_OPls
| c_Int_OPls = X1 ),
inference(literals_permutation,[status(thm)],[c_0_4129]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_1126,negated_conjecture,
! [X1] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X1),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('<stdin>',cls_conjecture_3) ).
fof(c_0_1_1127,negated_conjecture,
! [X1] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('<stdin>',cls_conjecture_1) ).
fof(c_0_2_1128,negated_conjecture,
! [X1] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
file('<stdin>',cls_conjecture_2) ).
fof(c_0_3_1129,negated_conjecture,
~ v_thesis____,
file('<stdin>',cls_conjecture_0) ).
fof(c_0_4_1130,negated_conjecture,
! [X1] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X1),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_5_1131,negated_conjecture,
! [X1] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_6_1132,negated_conjecture,
! [X1] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_7_1133,negated_conjecture,
~ v_thesis____,
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_8_1134,negated_conjecture,
! [X2] :
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X2),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_4])])]) ).
fof(c_0_9_1135,negated_conjecture,
! [X2] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X2),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_5])])]) ).
fof(c_0_10_1136,negated_conjecture,
! [X2] :
( v_thesis____
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X2),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_6])])]) ).
fof(c_0_11_1137,negated_conjecture,
~ v_thesis____,
c_0_7 ).
cnf(c_0_12_1138,negated_conjecture,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X1),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_8]) ).
cnf(c_0_13_1139,negated_conjecture,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_14_1140,negated_conjecture,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_15_1141,negated_conjecture,
~ v_thesis____,
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16_1142,negated_conjecture,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X1),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_12,
[final] ).
cnf(c_0_17_1143,negated_conjecture,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_13,
[final] ).
cnf(c_0_18_1144,negated_conjecture,
( c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X1),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X1,tc_RealDef_Oreal)
| v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1,tc_RealDef_Oreal) ),
c_0_14,
[final] ).
cnf(c_0_19_1145,negated_conjecture,
~ v_thesis____,
c_0_15,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_3213,negated_conjecture,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_547946.p',c_0_16) ).
cnf(c_3216,negated_conjecture,
~ v_thesis____,
file('/export/starexec/sandbox2/tmp/iprover_modulo_547946.p',c_0_19) ).
cnf(c_3830,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(global_propositional_subsumption,[status(thm)],[c_3213,c_3216]) ).
cnf(c_3831,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3830]) ).
cnf(c_3850,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3831]) ).
cnf(c_3851,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3850]) ).
cnf(c_3858,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3851]) ).
cnf(c_13456,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,v_d(X0),tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3858]) ).
cnf(c_3,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_547946.p',c_0_3305_0) ).
cnf(c_7082,plain,
( ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3]) ).
cnf(c_7083,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_Polynomial_Opoly(v_p,X0,tc_Complex_Ocomplex),c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Oinverse__class_Odivide(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_p,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_HOL_Ouminus__class_Ouminus(v_s____,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal),c_Int_Onumber__class_Onumber__of(c_Int_OBit0(c_Int_OBit1(c_Int_OPls)),tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X0,v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
inference(rewriting,[status(thm)],[c_7082]) ).
cnf(c_13606,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
inference(resolution,[status(thm)],[c_13456,c_7083]) ).
cnf(c_13607,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
inference(rewriting,[status(thm)],[c_13606]) ).
cnf(c_3214,negated_conjecture,
( v_thesis____
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_547946.p',c_0_17) ).
cnf(c_3824,negated_conjecture,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(global_propositional_subsumption,[status(thm)],[c_3214,c_3824]) ).
cnf(c_3829,negated_conjecture,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(global_propositional_subsumption,[status(thm)],[c_3214,c_3824]) ).
cnf(c_3833,negated_conjecture,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3829]) ).
cnf(c_3849,negated_conjecture,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3833]) ).
cnf(c_3852,negated_conjecture,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3849]) ).
cnf(c_3857,negated_conjecture,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3852]) ).
cnf(c_13454,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3857]) ).
cnf(c_14308,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
inference(forward_subsumption_resolution,[status(thm)],[c_13607,c_13454]) ).
cnf(c_14309,plain,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal) ),
inference(rewriting,[status(thm)],[c_14308]) ).
cnf(c_3215,negated_conjecture,
( v_thesis____
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
file('/export/starexec/sandbox2/tmp/iprover_modulo_547946.p',c_0_18) ).
cnf(c_3828,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
inference(global_propositional_subsumption,[status(thm)],[c_3215,c_3216]) ).
cnf(c_3835,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3828]) ).
cnf(c_3848,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3835]) ).
cnf(c_3853,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3848]) ).
cnf(c_3855,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3853]) ).
cnf(c_13450,negated_conjecture,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X0,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(v_d(X0),v_z____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),X0,tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_3855]) ).
cnf(c_14380,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c_14309,c_13450]) ).
cnf(c_14381,plain,
~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(rewriting,[status(thm)],[c_14380]) ).
cnf(c_3026,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
file('/export/starexec/sandbox2/tmp/iprover_modulo_547946.p',c_0_1086_0) ).
cnf(c_13112,plain,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__CHAINED__1(v_p,v_s____,v_z____),tc_RealDef_Oreal),
inference(copy,[status(esa)],[c_3026]) ).
cnf(c_14519,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_14381,c_13112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG375-1 : TPTP v8.1.0. Released v4.1.0.
% 0.06/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 23:09:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.44/0.61 % Orienting using strategy Equiv(ClausalAll)
% 0.44/0.61 % Orientation found
% 0.44/0.61 % 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_f7f119.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_547946.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_ccc283 | grep -v "SZS"
% 0.47/0.64
% 0.47/0.64 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.47/0.64
% 0.47/0.64 %
% 0.47/0.64 % ------ iProver source info
% 0.47/0.64
% 0.47/0.64 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.47/0.64 % git: non_committed_changes: true
% 0.47/0.64 % git: last_make_outside_of_git: true
% 0.47/0.64
% 0.47/0.64 %
% 0.47/0.64 % ------ Input Options
% 0.47/0.64
% 0.47/0.64 % --out_options all
% 0.47/0.64 % --tptp_safe_out true
% 0.47/0.64 % --problem_path ""
% 0.47/0.64 % --include_path ""
% 0.47/0.64 % --clausifier .//eprover
% 0.47/0.64 % --clausifier_options --tstp-format
% 0.47/0.64 % --stdin false
% 0.47/0.64 % --dbg_backtrace false
% 0.47/0.64 % --dbg_dump_prop_clauses false
% 0.47/0.64 % --dbg_dump_prop_clauses_file -
% 0.47/0.64 % --dbg_out_stat false
% 0.47/0.64
% 0.47/0.64 % ------ General Options
% 0.47/0.64
% 0.47/0.64 % --fof false
% 0.47/0.64 % --time_out_real 150.
% 0.47/0.64 % --time_out_prep_mult 0.2
% 0.47/0.64 % --time_out_virtual -1.
% 0.47/0.64 % --schedule none
% 0.47/0.64 % --ground_splitting input
% 0.47/0.64 % --splitting_nvd 16
% 0.47/0.64 % --non_eq_to_eq false
% 0.47/0.64 % --prep_gs_sim true
% 0.47/0.64 % --prep_unflatten false
% 0.47/0.64 % --prep_res_sim true
% 0.47/0.64 % --prep_upred true
% 0.47/0.64 % --res_sim_input true
% 0.47/0.64 % --clause_weak_htbl true
% 0.47/0.64 % --gc_record_bc_elim false
% 0.47/0.64 % --symbol_type_check false
% 0.47/0.64 % --clausify_out false
% 0.47/0.64 % --large_theory_mode false
% 0.47/0.64 % --prep_sem_filter none
% 0.47/0.64 % --prep_sem_filter_out false
% 0.47/0.64 % --preprocessed_out false
% 0.47/0.64 % --sub_typing false
% 0.47/0.64 % --brand_transform false
% 0.47/0.64 % --pure_diseq_elim true
% 0.47/0.64 % --min_unsat_core false
% 0.47/0.64 % --pred_elim true
% 0.47/0.64 % --add_important_lit false
% 0.47/0.64 % --soft_assumptions false
% 0.47/0.64 % --reset_solvers false
% 0.47/0.64 % --bc_imp_inh []
% 0.47/0.64 % --conj_cone_tolerance 1.5
% 0.47/0.64 % --prolific_symb_bound 500
% 0.47/0.64 % --lt_threshold 2000
% 0.47/0.64
% 0.47/0.64 % ------ SAT Options
% 0.47/0.64
% 0.47/0.64 % --sat_mode false
% 0.47/0.64 % --sat_fm_restart_options ""
% 0.47/0.64 % --sat_gr_def false
% 0.47/0.64 % --sat_epr_types true
% 0.47/0.64 % --sat_non_cyclic_types false
% 0.47/0.64 % --sat_finite_models false
% 0.47/0.64 % --sat_fm_lemmas false
% 0.47/0.64 % --sat_fm_prep false
% 0.47/0.64 % --sat_fm_uc_incr true
% 0.47/0.64 % --sat_out_model small
% 0.47/0.64 % --sat_out_clauses false
% 0.47/0.64
% 0.47/0.64 % ------ QBF Options
% 0.47/0.64
% 0.47/0.64 % --qbf_mode false
% 0.47/0.64 % --qbf_elim_univ true
% 0.47/0.64 % --qbf_sk_in true
% 0.47/0.64 % --qbf_pred_elim true
% 0.47/0.64 % --qbf_split 32
% 0.47/0.64
% 0.47/0.64 % ------ BMC1 Options
% 0.47/0.64
% 0.47/0.64 % --bmc1_incremental false
% 0.47/0.64 % --bmc1_axioms reachable_all
% 0.47/0.64 % --bmc1_min_bound 0
% 0.47/0.64 % --bmc1_max_bound -1
% 0.47/0.64 % --bmc1_max_bound_default -1
% 0.47/0.64 % --bmc1_symbol_reachability true
% 0.47/0.64 % --bmc1_property_lemmas false
% 0.47/0.64 % --bmc1_k_induction false
% 0.47/0.64 % --bmc1_non_equiv_states false
% 0.47/0.64 % --bmc1_deadlock false
% 0.47/0.64 % --bmc1_ucm false
% 0.47/0.64 % --bmc1_add_unsat_core none
% 0.47/0.64 % --bmc1_unsat_core_children false
% 0.47/0.64 % --bmc1_unsat_core_extrapolate_axioms false
% 0.47/0.64 % --bmc1_out_stat full
% 0.47/0.64 % --bmc1_ground_init false
% 0.47/0.64 % --bmc1_pre_inst_next_state false
% 0.47/0.64 % --bmc1_pre_inst_state false
% 0.47/0.64 % --bmc1_pre_inst_reach_state false
% 0.47/0.64 % --bmc1_out_unsat_core false
% 0.47/0.64 % --bmc1_aig_witness_out false
% 0.47/0.64 % --bmc1_verbose false
% 0.47/0.64 % --bmc1_dump_clauses_tptp false
% 3.83/4.03 % --bmc1_dump_unsat_core_tptp false
% 3.83/4.03 % --bmc1_dump_file -
% 3.83/4.03 % --bmc1_ucm_expand_uc_limit 128
% 3.83/4.03 % --bmc1_ucm_n_expand_iterations 6
% 3.83/4.03 % --bmc1_ucm_extend_mode 1
% 3.83/4.03 % --bmc1_ucm_init_mode 2
% 3.83/4.03 % --bmc1_ucm_cone_mode none
% 3.83/4.03 % --bmc1_ucm_reduced_relation_type 0
% 3.83/4.03 % --bmc1_ucm_relax_model 4
% 3.83/4.03 % --bmc1_ucm_full_tr_after_sat true
% 3.83/4.03 % --bmc1_ucm_expand_neg_assumptions false
% 3.83/4.03 % --bmc1_ucm_layered_model none
% 3.83/4.03 % --bmc1_ucm_max_lemma_size 10
% 3.83/4.03
% 3.83/4.03 % ------ AIG Options
% 3.83/4.03
% 3.83/4.03 % --aig_mode false
% 3.83/4.03
% 3.83/4.03 % ------ Instantiation Options
% 3.83/4.03
% 3.83/4.03 % --instantiation_flag true
% 3.83/4.03 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.83/4.03 % --inst_solver_per_active 750
% 3.83/4.03 % --inst_solver_calls_frac 0.5
% 3.83/4.03 % --inst_passive_queue_type priority_queues
% 3.83/4.03 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.83/4.03 % --inst_passive_queues_freq [25;2]
% 3.83/4.03 % --inst_dismatching true
% 3.83/4.03 % --inst_eager_unprocessed_to_passive true
% 3.83/4.03 % --inst_prop_sim_given true
% 3.83/4.03 % --inst_prop_sim_new false
% 3.83/4.03 % --inst_orphan_elimination true
% 3.83/4.03 % --inst_learning_loop_flag true
% 3.83/4.03 % --inst_learning_start 3000
% 3.83/4.03 % --inst_learning_factor 2
% 3.83/4.03 % --inst_start_prop_sim_after_learn 3
% 3.83/4.03 % --inst_sel_renew solver
% 3.83/4.03 % --inst_lit_activity_flag true
% 3.83/4.03 % --inst_out_proof true
% 3.83/4.03
% 3.83/4.03 % ------ Resolution Options
% 3.83/4.03
% 3.83/4.03 % --resolution_flag true
% 3.83/4.03 % --res_lit_sel kbo_max
% 3.83/4.03 % --res_to_prop_solver none
% 3.83/4.03 % --res_prop_simpl_new false
% 3.83/4.03 % --res_prop_simpl_given false
% 3.83/4.03 % --res_passive_queue_type priority_queues
% 3.83/4.03 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.83/4.03 % --res_passive_queues_freq [15;5]
% 3.83/4.03 % --res_forward_subs full
% 3.83/4.03 % --res_backward_subs full
% 3.83/4.03 % --res_forward_subs_resolution true
% 3.83/4.03 % --res_backward_subs_resolution true
% 3.83/4.03 % --res_orphan_elimination false
% 3.83/4.03 % --res_time_limit 1000.
% 3.83/4.03 % --res_out_proof true
% 3.83/4.03 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f7f119.s
% 3.83/4.03 % --modulo true
% 3.83/4.03
% 3.83/4.03 % ------ Combination Options
% 3.83/4.03
% 3.83/4.03 % --comb_res_mult 1000
% 3.83/4.03 % --comb_inst_mult 300
% 3.83/4.03 % ------
% 3.83/4.03
% 3.83/4.03 % ------ Parsing...% successful
% 3.83/4.03
% 3.83/4.03 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 3.83/4.03
% 3.83/4.03 % ------ Proving...
% 3.83/4.03 % ------ Problem Properties
% 3.83/4.03
% 3.83/4.03 %
% 3.83/4.03 % EPR false
% 3.83/4.03 % Horn false
% 3.83/4.03 % Has equality true
% 3.83/4.03
% 3.83/4.03 % % ------ Input Options Time Limit: Unbounded
% 3.83/4.03
% 3.83/4.03
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 Compiling...
% 3.83/4.03 Loading plugin: done.
% 3.83/4.03 % % ------ Current options:
% 3.83/4.03
% 3.83/4.03 % ------ Input Options
% 3.83/4.03
% 3.83/4.03 % --out_options all
% 3.83/4.03 % --tptp_safe_out true
% 3.83/4.03 % --problem_path ""
% 3.83/4.03 % --include_path ""
% 3.83/4.03 % --clausifier .//eprover
% 3.83/4.03 % --clausifier_options --tstp-format
% 3.83/4.03 % --stdin false
% 3.83/4.03 % --dbg_backtrace false
% 3.83/4.03 % --dbg_dump_prop_clauses false
% 3.83/4.03 % --dbg_dump_prop_clauses_file -
% 3.83/4.03 % --dbg_out_stat false
% 3.83/4.03
% 3.83/4.03 % ------ General Options
% 3.83/4.03
% 3.83/4.03 % --fof false
% 3.83/4.03 % --time_out_real 150.
% 3.83/4.03 % --time_out_prep_mult 0.2
% 3.83/4.03 % --time_out_virtual -1.
% 3.83/4.03 % --schedule none
% 3.83/4.03 % --ground_splitting input
% 3.83/4.03 % --splitting_nvd 16
% 3.83/4.03 % --non_eq_to_eq false
% 3.83/4.03 % --prep_gs_sim true
% 3.83/4.03 % --prep_unflatten false
% 3.83/4.03 % --prep_res_sim true
% 3.83/4.03 % --prep_upred true
% 3.83/4.03 % --res_sim_input true
% 3.83/4.03 % --clause_weak_htbl true
% 3.83/4.03 % --gc_record_bc_elim false
% 3.83/4.03 % --symbol_type_check false
% 3.83/4.03 % --clausify_out false
% 3.83/4.03 % --large_theory_mode false
% 3.83/4.03 % --prep_sem_filter none
% 3.83/4.03 % --prep_sem_filter_out false
% 3.83/4.03 % --preprocessed_out false
% 3.83/4.03 % --sub_typing false
% 3.83/4.03 % --brand_transform false
% 3.83/4.03 % --pure_diseq_elim true
% 3.83/4.03 % --min_unsat_core false
% 3.83/4.03 % --pred_elim true
% 3.83/4.03 % --add_important_lit false
% 3.83/4.03 % --soft_assumptions false
% 3.83/4.03 % --reset_solvers false
% 3.83/4.03 % --bc_imp_inh []
% 3.83/4.03 % --conj_cone_tolerance 1.5
% 3.83/4.03 % --prolific_symb_bound 500
% 3.83/4.03 % --lt_threshold 2000
% 3.83/4.03
% 3.83/4.03 % ------ SAT Options
% 3.83/4.03
% 3.83/4.03 % --sat_mode false
% 3.83/4.03 % --sat_fm_restart_options ""
% 3.83/4.03 % --sat_gr_def false
% 3.83/4.03 % --sat_epr_types true
% 3.83/4.03 % --sat_non_cyclic_types false
% 3.83/4.03 % --sat_finite_models false
% 3.83/4.03 % --sat_fm_lemmas false
% 3.83/4.03 % --sat_fm_prep false
% 3.83/4.03 % --sat_fm_uc_incr true
% 3.83/4.03 % --sat_out_model small
% 3.83/4.03 % --sat_out_clauses false
% 3.83/4.03
% 3.83/4.03 % ------ QBF Options
% 3.83/4.03
% 3.83/4.03 % --qbf_mode false
% 3.83/4.03 % --qbf_elim_univ true
% 3.83/4.03 % --qbf_sk_in true
% 3.83/4.03 % --qbf_pred_elim true
% 3.83/4.03 % --qbf_split 32
% 3.83/4.03
% 3.83/4.03 % ------ BMC1 Options
% 3.83/4.03
% 3.83/4.03 % --bmc1_incremental false
% 3.83/4.03 % --bmc1_axioms reachable_all
% 3.83/4.03 % --bmc1_min_bound 0
% 3.83/4.03 % --bmc1_max_bound -1
% 3.83/4.03 % --bmc1_max_bound_default -1
% 3.83/4.03 % --bmc1_symbol_reachability true
% 3.83/4.03 % --bmc1_property_lemmas false
% 3.83/4.03 % --bmc1_k_induction false
% 3.83/4.03 % --bmc1_non_equiv_states false
% 3.83/4.03 % --bmc1_deadlock false
% 3.83/4.03 % --bmc1_ucm false
% 3.83/4.03 % --bmc1_add_unsat_core none
% 3.83/4.03 % --bmc1_unsat_core_children false
% 3.83/4.03 % --bmc1_unsat_core_extrapolate_axioms false
% 3.83/4.03 % --bmc1_out_stat full
% 3.83/4.03 % --bmc1_ground_init false
% 3.83/4.03 % --bmc1_pre_inst_next_state false
% 3.83/4.03 % --bmc1_pre_inst_state false
% 3.83/4.03 % --bmc1_pre_inst_reach_state false
% 3.83/4.03 % --bmc1_out_unsat_core false
% 3.83/4.03 % --bmc1_aig_witness_out false
% 3.83/4.03 % --bmc1_verbose false
% 3.83/4.03 % --bmc1_dump_clauses_tptp false
% 3.83/4.03 % --bmc1_dump_unsat_core_tptp false
% 3.83/4.03 % --bmc1_dump_file -
% 3.83/4.03 % --bmc1_ucm_expand_uc_limit 128
% 3.83/4.03 % --bmc1_ucm_n_expand_iterations 6
% 3.83/4.03 % --bmc1_ucm_extend_mode 1
% 3.83/4.03 % --bmc1_ucm_init_mode 2
% 3.83/4.03 % --bmc1_ucm_cone_mode none
% 3.83/4.03 % --bmc1_ucm_reduced_relation_type 0
% 3.83/4.03 % --bmc1_ucm_relax_model 4
% 3.83/4.03 % --bmc1_ucm_full_tr_after_sat true
% 3.83/4.03 % --bmc1_ucm_expand_neg_assumptions false
% 3.83/4.03 % --bmc1_ucm_layered_model none
% 3.83/4.03 % --bmc1_ucm_max_lemma_size 10
% 3.83/4.03
% 3.83/4.03 % ------ AIG Options
% 3.83/4.03
% 3.83/4.03 % --aig_mode false
% 3.92/4.11
% 3.92/4.11 % ------ Instantiation Options
% 3.92/4.11
% 3.92/4.11 % --instantiation_flag true
% 3.92/4.11 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 3.92/4.11 % --inst_solver_per_active 750
% 3.92/4.11 % --inst_solver_calls_frac 0.5
% 3.92/4.11 % --inst_passive_queue_type priority_queues
% 3.92/4.11 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 3.92/4.11 % --inst_passive_queues_freq [25;2]
% 3.92/4.11 % --inst_dismatching true
% 3.92/4.11 % --inst_eager_unprocessed_to_passive true
% 3.92/4.11 % --inst_prop_sim_given true
% 3.92/4.11 % --inst_prop_sim_new false
% 3.92/4.11 % --inst_orphan_elimination true
% 3.92/4.11 % --inst_learning_loop_flag true
% 3.92/4.11 % --inst_learning_start 3000
% 3.92/4.11 % --inst_learning_factor 2
% 3.92/4.11 % --inst_start_prop_sim_after_learn 3
% 3.92/4.11 % --inst_sel_renew solver
% 3.92/4.11 % --inst_lit_activity_flag true
% 3.92/4.11 % --inst_out_proof true
% 3.92/4.11
% 3.92/4.11 % ------ Resolution Options
% 3.92/4.11
% 3.92/4.11 % --resolution_flag true
% 3.92/4.11 % --res_lit_sel kbo_max
% 3.92/4.11 % --res_to_prop_solver none
% 3.92/4.11 % --res_prop_simpl_new false
% 3.92/4.11 % --res_prop_simpl_given false
% 3.92/4.11 % --res_passive_queue_type priority_queues
% 3.92/4.11 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 3.92/4.11 % --res_passive_queues_freq [15;5]
% 3.92/4.11 % --res_forward_subs full
% 3.92/4.11 % --res_backward_subs full
% 3.92/4.11 % --res_forward_subs_resolution true
% 3.92/4.11 % --res_backward_subs_resolution true
% 3.92/4.11 % --res_orphan_elimination false
% 3.92/4.11 % --res_time_limit 1000.
% 3.92/4.11 % --res_out_proof true
% 3.92/4.11 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_f7f119.s
% 3.92/4.11 % --modulo true
% 3.92/4.11
% 3.92/4.11 % ------ Combination Options
% 3.92/4.11
% 3.92/4.11 % --comb_res_mult 1000
% 3.92/4.11 % --comb_inst_mult 300
% 3.92/4.11 % ------
% 3.92/4.11
% 3.92/4.11
% 3.92/4.11
% 3.92/4.11 % ------ Proving...
% 3.92/4.11 %
% 3.92/4.11
% 3.92/4.11
% 3.92/4.11 % Resolution empty clause
% 3.92/4.11
% 3.92/4.11 % ------ Statistics
% 3.92/4.11
% 3.92/4.11 % ------ General
% 3.92/4.11
% 3.92/4.11 % num_of_input_clauses: 3217
% 3.92/4.11 % num_of_input_neg_conjectures: 4
% 3.92/4.11 % num_of_splits: 0
% 3.92/4.11 % num_of_split_atoms: 0
% 3.92/4.11 % num_of_sem_filtered_clauses: 0
% 3.92/4.11 % num_of_subtypes: 0
% 3.92/4.11 % monotx_restored_types: 0
% 3.92/4.11 % sat_num_of_epr_types: 0
% 3.92/4.11 % sat_num_of_non_cyclic_types: 0
% 3.92/4.11 % sat_guarded_non_collapsed_types: 0
% 3.92/4.11 % is_epr: 0
% 3.92/4.11 % is_horn: 0
% 3.92/4.11 % has_eq: 1
% 3.92/4.11 % num_pure_diseq_elim: 0
% 3.92/4.11 % simp_replaced_by: 0
% 3.92/4.11 % res_preprocessed: 8
% 3.92/4.11 % prep_upred: 0
% 3.92/4.11 % prep_unflattend: 0
% 3.92/4.11 % pred_elim_cands: 0
% 3.92/4.11 % pred_elim: 0
% 3.92/4.11 % pred_elim_cl: 0
% 3.92/4.11 % pred_elim_cycles: 0
% 3.92/4.11 % forced_gc_time: 0
% 3.92/4.11 % gc_basic_clause_elim: 0
% 3.92/4.11 % parsing_time: 0.175
% 3.92/4.11 % sem_filter_time: 0.
% 3.92/4.11 % pred_elim_time: 0.
% 3.92/4.11 % out_proof_time: 0.004
% 3.92/4.11 % monotx_time: 0.
% 3.92/4.11 % subtype_inf_time: 0.
% 3.92/4.11 % unif_index_cands_time: 0.
% 3.92/4.11 % unif_index_add_time: 0.001
% 3.92/4.11 % total_time: 3.488
% 3.92/4.11 % num_of_symbols: 118
% 3.92/4.11 % num_of_terms: 7049
% 3.92/4.11
% 3.92/4.11 % ------ Propositional Solver
% 3.92/4.11
% 3.92/4.11 % prop_solver_calls: 1
% 3.92/4.11 % prop_fast_solver_calls: 39
% 3.92/4.11 % prop_num_of_clauses: 2464
% 3.92/4.11 % prop_preprocess_simplified: 10134
% 3.92/4.11 % prop_fo_subsumed: 6
% 3.92/4.11 % prop_solver_time: 0.002
% 3.92/4.11 % prop_fast_solver_time: 0.
% 3.92/4.11 % prop_unsat_core_time: 0.
% 3.92/4.11
% 3.92/4.11 % ------ QBF
% 3.92/4.11
% 3.92/4.11 % qbf_q_res: 0
% 3.92/4.11 % qbf_num_tautologies: 0
% 3.92/4.11 % qbf_prep_cycles: 0
% 3.92/4.11
% 3.92/4.11 % ------ BMC1
% 3.92/4.11
% 3.92/4.11 % bmc1_current_bound: -1
% 3.92/4.11 % bmc1_last_solved_bound: -1
% 3.92/4.11 % bmc1_unsat_core_size: -1
% 3.92/4.11 % bmc1_unsat_core_parents_size: -1
% 3.92/4.11 % bmc1_merge_next_fun: 0
% 3.92/4.11 % bmc1_unsat_core_clauses_time: 0.
% 3.92/4.11
% 3.92/4.11 % ------ Instantiation
% 3.92/4.11
% 3.92/4.11 % inst_num_of_clauses: 3011
% 3.92/4.11 % inst_num_in_passive: 0
% 3.92/4.11 % inst_num_in_active: 0
% 3.92/4.11 % inst_num_in_unprocessed: 3217
% 3.92/4.11 % inst_num_of_loops: 0
% 3.92/4.11 % inst_num_of_learning_restarts: 0
% 3.92/4.11 % inst_num_moves_active_passive: 0
% 3.92/4.11 % inst_lit_activity: 0
% 3.92/4.11 % inst_lit_activity_moves: 0
% 3.92/4.11 % inst_num_tautologies: 0
% 3.92/4.11 % inst_num_prop_implied: 0
% 3.92/4.11 % inst_num_existing_simplified: 0
% 3.92/4.11 % inst_num_eq_res_simplified: 0
% 3.92/4.11 % inst_num_child_elim: 0
% 3.92/4.11 % inst_num_of_dismatching_blockings: 0
% 3.92/4.11 % inst_num_of_non_proper_insts: 0
% 3.92/4.11 % inst_num_of_duplicates: 0
% 3.92/4.11 % inst_inst_num_from_inst_to_res: 0
% 3.92/4.11 % inst_dismatching_checking_time: 0.
% 3.92/4.11
% 3.92/4.11 % ------ Resolution
% 3.92/4.11
% 3.92/4.11 % res_num_of_clauses: 3949
% 3.92/4.11 % res_num_in_passive: 474
% 3.92/4.11 % res_num_in_active: 1036
% 3.92/4.11 % res_num_of_loops: 19
% 3.92/4.11 % res_forward_subset_subsumed: 2137
% 3.92/4.11 % res_backward_subset_subsumed: 8
% 3.92/4.11 % res_forward_subsumed: 6
% 3.92/4.11 % res_backward_subsumed: 0
% 3.92/4.11 % res_forward_subsumption_resolution: 5
% 3.92/4.11 % res_backward_subsumption_resolution: 3
% 3.92/4.11 % res_clause_to_clause_subsumption: 63
% 3.92/4.11 % res_orphan_elimination: 0
% 3.92/4.11 % res_tautology_del: 3
% 3.92/4.11 % res_num_eq_res_simplified: 0
% 3.92/4.11 % res_num_sel_changes: 0
% 3.92/4.11 % res_moves_from_active_to_pass: 0
% 3.92/4.11
% 3.92/4.11 % Status Unsatisfiable
% 3.92/4.11 % SZS status Unsatisfiable
% 3.92/4.11 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------