TSTP Solution File: ALG387-1 by iProverMo---2.5-0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : ALG387-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n025.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 17:11:56 EDT 2022
% Result : Unsatisfiable 2.08s 2.30s
% Output : CNFRefutation 2.08s
% 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__HOL_Oeq,axiom,
class_HOL_Oeq(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__HOL_Oeq_0,plain,
( class_HOL_Oeq(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__HOL_Oeq]) ).
cnf(clsarity_Complex__Ocomplex__HOL_Ozero,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__HOL_Ozero_0,plain,
( class_HOL_Ozero(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__HOL_Ozero]) ).
cnf(clsarity_Complex__Ocomplex__SEQ_Obanach,axiom,
class_SEQ_Obanach(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__SEQ_Obanach_0,plain,
( class_SEQ_Obanach(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__SEQ_Obanach]) ).
cnf(clsarity_Complex__Ocomplex__Power_Opower,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Power_Opower_0,plain,
( class_Power_Opower(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Power_Opower]) ).
cnf(clsarity_Complex__Ocomplex__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Int_Onumber__ring_0,plain,
( class_Int_Onumber__ring(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Int_Onumber__ring]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_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__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__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0_0,plain,
( class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_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_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors_0,plain,
( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors]) ).
cnf(clsarity_RealDef__Oreal__HOL_Oeq,axiom,
class_HOL_Oeq(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__HOL_Oeq_0,plain,
( class_HOL_Oeq(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__HOL_Oeq]) ).
cnf(clsarity_RealDef__Oreal__HOL_Ozero,axiom,
class_HOL_Ozero(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__HOL_Ozero_0,plain,
( class_HOL_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__HOL_Ozero]) ).
cnf(clsarity_RealDef__Oreal__SEQ_Obanach,axiom,
class_SEQ_Obanach(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__SEQ_Obanach_0,plain,
( class_SEQ_Obanach(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__SEQ_Obanach]) ).
cnf(clsarity_RealDef__Oreal__Power_Opower,axiom,
class_Power_Opower(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Power_Opower_0,plain,
( class_Power_Opower(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Power_Opower]) ).
cnf(clsarity_RealDef__Oreal__Int_Onumber__ring,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Int_Onumber__ring_0,plain,
( class_Int_Onumber__ring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber__ring]) ).
cnf(clsarity_RealDef__Oreal__Orderings_Oorder,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Orderings_Oorder_0,plain,
( class_Orderings_Oorder(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Oorder]) ).
cnf(clsarity_RealDef__Oreal__Lattices_Olattice,axiom,
class_Lattices_Olattice(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Lattices_Olattice_0,plain,
( class_Lattices_Olattice(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Olattice]) ).
cnf(clsarity_RealDef__Oreal__Orderings_Olinorder,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Orderings_Olinorder_0,plain,
( class_Orderings_Olinorder(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Olinorder]) ).
cnf(clsarity_RealDef__Oreal__Orderings_Opreorder,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Orderings_Opreorder_0,plain,
( class_Orderings_Opreorder(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Opreorder]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,plain,
( class_Ring__and__Field_Oidom(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom]) ).
cnf(clsarity_RealDef__Oreal__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_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__Lattices_Olower__semilattice,axiom,
class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Lattices_Olower__semilattice_0,plain,
( class_Lattices_Olower__semilattice(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Olower__semilattice]) ).
cnf(clsarity_RealDef__Oreal__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_Opordered__ring,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring_0,plain,
( class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add_0,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult_0,plain,
( class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult]) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector_0,plain,
( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult_0,plain,
( class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult]) ).
cnf(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra_0,plain,
( class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0_0,plain,
( class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1_0,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom_0,plain,
( class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_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_Oring__1__no__zero__divisors,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors_0,plain,
( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet,axiom,
class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet_0,plain,
( class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet]) ).
cnf(clsarity_RealDef__Oreal__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_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1_0,plain,
( class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1]) ).
cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring,axiom,
class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring_0,plain,
( class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring]) ).
cnf(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal),
input ).
fof(clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add_0,plain,
( class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1_0,plain,
( class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1]) ).
cnf(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring,axiom,
class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring_0,plain,
( class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring]) ).
cnf(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
input ).
fof(clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add_0,plain,
( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add]) ).
cnf(cls_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_pCons_Ohyps_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__Xhyps__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
input ).
fof(cls_pCons_Ohyps_0_0,plain,
! [V_w] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__Xhyps__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pCons_Ohyps_0]) ).
cnf(cls_pCons_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
input ).
fof(cls_pCons_0_0,plain,
! [V_w] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_pCons_0]) ).
cnf(cls_complex__Re__le__cmod_0,axiom,
c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),
input ).
fof(cls_complex__Re__le__cmod_0_0,plain,
! [V_x] :
( c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_complex__Re__le__cmod_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_cs0_0,axiom,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
input ).
fof(cls_cs0_0_0,plain,
( v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| $false ),
inference(orientation,[status(thm)],[cls_cs0_0]) ).
cnf(cls_complex__mod__cnj_0,axiom,
c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),
input ).
fof(cls_complex__mod__cnj_0_0,plain,
! [V_z] :
( c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[cls_complex__mod__cnj_0]) ).
cnf(cls_id__def_0,axiom,
c_Fun_Oid(v_x,t_a) = v_x,
input ).
fof(cls_id__def_0_0,plain,
( c_Fun_Oid(v_x,t_a) = v_x
| $false ),
inference(orientation,[status(thm)],[cls_id__def_0]) ).
cnf(cls_complex__mod__triangle__ineq2_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_b,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_a,tc_Complex_Ocomplex),tc_RealDef_Oreal),
input ).
fof(cls_complex__mod__triangle__ineq2_0_0,plain,
! [V_a,V_b] :
( c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_b,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_a,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_complex__mod__triangle__ineq2_0]) ).
cnf(cls_abs__Re__le__cmod_0,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),
input ).
fof(cls_abs__Re__le__cmod_0_0,plain,
! [V_x] :
( c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_abs__Re__le__cmod_0]) ).
cnf(cls_abs__Im__le__cmod_0,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_OIm(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal),
input ).
fof(cls_abs__Im__le__cmod_0_0,plain,
! [V_x] :
( c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_OIm(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_abs__Im__le__cmod_0]) ).
cnf(cls_complex__mod__triangle__sub_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_w,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_complex__mod__triangle__sub_0_0,plain,
! [V_w,V_z] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_w,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_complex__mod__triangle__sub_0]) ).
cnf(cls_complex__Im__cnj_0,axiom,
c_Complex_OIm(c_Complex_Ocnj(V_x)) = c_HOL_Ouminus__class_Ouminus(c_Complex_OIm(V_x),tc_RealDef_Oreal),
input ).
fof(cls_complex__Im__cnj_0_0,plain,
! [V_x] :
( c_Complex_OIm(c_Complex_Ocnj(V_x)) = c_HOL_Ouminus__class_Ouminus(c_Complex_OIm(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_complex__Im__cnj_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]) ).
cnf(cls_Re_Oadd_0,axiom,
c_Complex_ORe(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_ORe(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal),
input ).
fof(cls_Re_Oadd_0_0,plain,
! [V_x,V_y] :
( c_Complex_ORe(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_ORe(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_Re_Oadd_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_complex__Re__cnj_0,axiom,
c_Complex_ORe(c_Complex_Ocnj(V_x)) = c_Complex_ORe(V_x),
input ).
fof(cls_complex__Re__cnj_0_0,plain,
! [V_x] :
( c_Complex_ORe(c_Complex_Ocnj(V_x)) = c_Complex_ORe(V_x)
| $false ),
inference(orientation,[status(thm)],[cls_complex__Re__cnj_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_Im_Ozero_0,axiom,
c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_Im_Ozero_0_0,plain,
( c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_Im_Ozero_0]) ).
cnf(cls_abs__exp__cancel_0,axiom,
c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),
input ).
fof(cls_abs__exp__cancel_0_0,plain,
! [V_x] :
( c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_abs__exp__cancel_0]) ).
cnf(cls_id__apply_0,axiom,
c_Fun_Oid(V_x,T_a) = V_x,
input ).
fof(cls_id__apply_0_0,plain,
! [T_a,V_x] :
( c_Fun_Oid(V_x,T_a) = V_x
| $false ),
inference(orientation,[status(thm)],[cls_id__apply_0]) ).
cnf(cls_exp__gt__zero_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_exp__gt__zero_0_0,plain,
! [V_x] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_exp__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_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_real__sqrt__power_0,axiom,
c_NthRoot_Osqrt(c_Power_Opower__class_Opower(V_x,V_k,tc_RealDef_Oreal)) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(V_x),V_k,tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__power_0_0,plain,
! [V_k,V_x] :
( c_NthRoot_Osqrt(c_Power_Opower__class_Opower(V_x,V_k,tc_RealDef_Oreal)) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(V_x),V_k,tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__power_0]) ).
cnf(cls_complex__cnj__cnj_0,axiom,
c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z,
input ).
fof(cls_complex__cnj__cnj_0_0,plain,
! [V_z] :
( c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z
| $false ),
inference(orientation,[status(thm)],[cls_complex__cnj__cnj_0]) ).
cnf(cls_poly__bound__exists_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal),
input ).
fof(cls_poly__bound__exists_0_0,plain,
! [V_p,V_r] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_poly__bound__exists_0]) ).
cnf(cls_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_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_Re_Ozero_0,axiom,
c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_Re_Ozero_0_0,plain,
( c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_Re_Ozero_0]) ).
cnf(cls_not__exp__le__zero_0,axiom,
~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_not__exp__le__zero_0_0,plain,
! [V_x] :
( ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_not__exp__le__zero_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_cnj_Ozero_0,axiom,
c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
input ).
fof(cls_cnj_Ozero_0_0,plain,
( c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[cls_cnj_Ozero_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_real__sqrt__zero_0,axiom,
c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_real__sqrt__zero_0_0,plain,
( c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_real__sqrt__zero_0]) ).
cnf(cls_real__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_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__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_Im_Oadd_0,axiom,
c_Complex_OIm(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_OIm(V_x),c_Complex_OIm(V_y),tc_RealDef_Oreal),
input ).
fof(cls_Im_Oadd_0_0,plain,
! [V_x,V_y] :
( c_Complex_OIm(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_OIm(V_x),c_Complex_OIm(V_y),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_Im_Oadd_0]) ).
cnf(cls_cnj_Oadd_0,axiom,
c_Complex_Ocnj(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex),
input ).
fof(cls_cnj_Oadd_0_0,plain,
! [V_x,V_y] :
( c_Complex_Ocnj(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex)
| $false ),
inference(orientation,[status(thm)],[cls_cnj_Oadd_0]) ).
cnf(cls_exp__ge__zero_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_exp__ge__zero_0_0,plain,
! [V_x] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_exp__ge__zero_0]) ).
cnf(cls_arctan__minus_0,axiom,
c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal),
input ).
fof(cls_arctan__minus_0_0,plain,
! [V_x] :
( c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_arctan__minus_0]) ).
cnf(cls_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_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_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_not__exp__less__zero_0,axiom,
~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
input ).
fof(cls_not__exp__less__zero_0_0,plain,
! [V_x] :
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_not__exp__less__zero_0]) ).
cnf(cls_arctan__zero__zero_0,axiom,
c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
input ).
fof(cls_arctan__zero__zero_0_0,plain,
( c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| $false ),
inference(orientation,[status(thm)],[cls_arctan__zero__zero_0]) ).
fof(def_lhs_atom1,axiom,
( lhs_atom1
<=> c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_0,plain,
( lhs_atom1
| $false ),
inference(fold_definition,[status(thm)],[cls_arctan__zero__zero_0_0,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [V_x] :
( lhs_atom2(V_x)
<=> ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_1,plain,
! [V_x] :
( lhs_atom2(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__exp__less__zero_0_0,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
! [V_y,V_x,V_m,V_l] :
( lhs_atom3(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_2,plain,
! [V_l,V_m,V_x,V_y] :
( lhs_atom3(V_y,V_x,V_m,V_l)
| $false ),
inference(fold_definition,[status(thm)],[cls_abs__sum__triangle__ineq_0_0,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
! [V_y,V_x] :
( lhs_atom4(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_3,plain,
! [V_x,V_y] :
( lhs_atom4(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__mult__self__sum__ge__zero_0_0,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [V_y,V_x] :
( lhs_atom5(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_4,plain,
! [V_x,V_y] :
( lhs_atom5(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_abs__minus__add__cancel_0_0,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [V_x] :
( lhs_atom6(V_x)
<=> c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(V_x,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_5,plain,
! [V_x] :
( lhs_atom6(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_arctan__minus_0_0,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V_x] :
( lhs_atom7(V_x)
<=> c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_6,plain,
! [V_x] :
( lhs_atom7(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp__ge__zero_0_0,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [V_y,V_x] :
( lhs_atom8(V_y,V_x)
<=> c_Complex_Ocnj(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_Ocnj(V_x),c_Complex_Ocnj(V_y),tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_7,plain,
! [V_x,V_y] :
( lhs_atom8(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_cnj_Oadd_0_0,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V_y,V_x] :
( lhs_atom9(V_y,V_x)
<=> c_Complex_OIm(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_OIm(V_x),c_Complex_OIm(V_y),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_Im_Oadd_0_0,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V_z3,V_z2,V_z1] :
( lhs_atom10(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_9,plain,
! [V_z1,V_z2,V_z3] :
( lhs_atom10(V_z3,V_z2,V_z1)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__mult__assoc_0_0,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [V_z2,V_z1,V_w] :
( lhs_atom11(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_10,plain,
! [V_w,V_z1,V_z2] :
( lhs_atom11(V_z2,V_z1,V_w)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__add__mult__distrib_0_0,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [V_y,V_x] :
( lhs_atom12(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_11,plain,
! [V_x,V_y] :
( lhs_atom12(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__mult__self__sum__ge__zero_0_0,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
( lhs_atom13
<=> c_NthRoot_Osqrt(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_12,plain,
( lhs_atom13
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__zero_0_0,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [V_s,V_r] :
( lhs_atom14(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_13,plain,
! [V_r,V_s] :
( lhs_atom14(V_s,V_r)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__diff__def_0_0,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
( lhs_atom15
<=> c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_14,plain,
( lhs_atom15
| $false ),
inference(fold_definition,[status(thm)],[cls_cnj_Ozero_0_0,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [V_z,V_w] :
( lhs_atom16(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_15,plain,
! [V_w,V_z] :
( lhs_atom16(V_z,V_w)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__mult__commute_0_0,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [V_x] :
( lhs_atom17(V_x)
<=> ~ c_lessequals(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_16,plain,
! [V_x] :
( lhs_atom17(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_not__exp__le__zero_0_0,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
( lhs_atom18
<=> c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_17,plain,
( lhs_atom18
| $false ),
inference(fold_definition,[status(thm)],[cls_Re_Ozero_0_0,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [V_x] :
( lhs_atom19(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_18,plain,
! [V_x] :
( lhs_atom19(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__add__eq__0__iff_1_0,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [V_y,V_x] :
( lhs_atom20(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_19,plain,
! [V_x,V_y] :
( lhs_atom20(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__mult_0_0,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [V_x,V_u] :
( lhs_atom21(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_20,plain,
! [V_u,V_x] :
( lhs_atom21(V_x,V_u)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__minus__mult__self__le_0_0,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [V_y,V_x] :
( lhs_atom22(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_21,plain,
! [V_x,V_y] :
( lhs_atom22(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_le__real__sqrt__sumsq_0_0,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [V_r,V_p] :
( lhs_atom23(V_r,V_p)
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(V_p,V_r),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_22,plain,
! [V_p,V_r] :
( lhs_atom23(V_r,V_p)
| $false ),
inference(fold_definition,[status(thm)],[cls_poly__bound__exists_0_0,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [V_z] :
( lhs_atom24(V_z)
<=> c_Complex_Ocnj(c_Complex_Ocnj(V_z)) = V_z ),
inference(definition,[],]) ).
fof(to_be_clausified_23,plain,
! [V_z] :
( lhs_atom24(V_z)
| $false ),
inference(fold_definition,[status(thm)],[cls_complex__cnj__cnj_0_0,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [V_x,V_k] :
( lhs_atom25(V_x,V_k)
<=> c_NthRoot_Osqrt(c_Power_Opower__class_Opower(V_x,V_k,tc_RealDef_Oreal)) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(V_x),V_k,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_24,plain,
! [V_k,V_x] :
( lhs_atom25(V_x,V_k)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__power_0_0,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [V_x] :
( lhs_atom26(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_25,plain,
! [V_x] :
( lhs_atom26(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__minus_0_0,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
( lhs_atom27
<=> ~ 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_26,plain,
( lhs_atom27
| $false ),
inference(fold_definition,[status(thm)],[cls_not__real__square__gt__zero_1_0,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [V_x] :
( lhs_atom28(V_x)
<=> c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_27,plain,
! [V_x] :
( lhs_atom28(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_exp__gt__zero_0_0,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [V_x,T_a] :
( lhs_atom29(V_x,T_a)
<=> c_Fun_Oid(V_x,T_a) = V_x ),
inference(definition,[],]) ).
fof(to_be_clausified_28,plain,
! [T_a,V_x] :
( lhs_atom29(V_x,T_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_id__apply_0_0,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [V_x] :
( lhs_atom30(V_x)
<=> c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(V_x,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(V_x,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_29,plain,
! [V_x] :
( lhs_atom30(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_abs__exp__cancel_0_0,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
( lhs_atom31
<=> c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_30,plain,
( lhs_atom31
| $false ),
inference(fold_definition,[status(thm)],[cls_Im_Ozero_0_0,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [V_x] :
( lhs_atom32(V_x)
<=> ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_31,plain,
! [V_x] :
( lhs_atom32(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__less__def_1_0,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [V_x] :
( lhs_atom33(V_x)
<=> c_Complex_ORe(c_Complex_Ocnj(V_x)) = c_Complex_ORe(V_x) ),
inference(definition,[],]) ).
fof(to_be_clausified_32,plain,
! [V_x] :
( lhs_atom33(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_complex__Re__cnj_0_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
! [V_x] :
( lhs_atom34(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_33,plain,
! [V_x] :
( lhs_atom34(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__sqrt__abs2_0_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
! [V_y,V_x] :
( lhs_atom35(V_y,V_x)
<=> c_Complex_ORe(c_HOL_Oplus__class_Oplus(V_x,V_y,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_ORe(V_x),c_Complex_ORe(V_y),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
! [V_x,V_y] :
( lhs_atom35(V_y,V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_Re_Oadd_0_0,def_lhs_atom35]) ).
fof(def_lhs_atom36,axiom,
( lhs_atom36
<=> 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_35,plain,
( lhs_atom36
| $false ),
inference(fold_definition,[status(thm)],[cls_real__two__squares__add__zero__iff_2_0,def_lhs_atom36]) ).
fof(def_lhs_atom37,axiom,
! [V_x] :
( lhs_atom37(V_x)
<=> c_Complex_OIm(c_Complex_Ocnj(V_x)) = c_HOL_Ouminus__class_Ouminus(c_Complex_OIm(V_x),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_36,plain,
! [V_x] :
( lhs_atom37(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_complex__Im__cnj_0_0,def_lhs_atom37]) ).
fof(def_lhs_atom38,axiom,
! [V_z,V_w] :
( lhs_atom38(V_z,V_w)
<=> c_lessequals(c_RealVector_Onorm__class_Onorm(V_w,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_w,V_z,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
! [V_w,V_z] :
( lhs_atom38(V_z,V_w)
| $false ),
inference(fold_definition,[status(thm)],[cls_complex__mod__triangle__sub_0_0,def_lhs_atom38]) ).
fof(def_lhs_atom39,axiom,
! [V_x] :
( lhs_atom39(V_x)
<=> c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_OIm(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [V_x] :
( lhs_atom39(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_abs__Im__le__cmod_0_0,def_lhs_atom39]) ).
fof(def_lhs_atom40,axiom,
! [V_x] :
( lhs_atom40(V_x)
<=> c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(V_x),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_39,plain,
! [V_x] :
( lhs_atom40(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_abs__Re__le__cmod_0_0,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
! [V_b,V_a] :
( lhs_atom41(V_b,V_a)
<=> c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(V_b,V_a,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(V_b,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(V_a,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_40,plain,
! [V_a,V_b] :
( lhs_atom41(V_b,V_a)
| $false ),
inference(fold_definition,[status(thm)],[cls_complex__mod__triangle__ineq2_0_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
( lhs_atom42
<=> c_Fun_Oid(v_x,t_a) = v_x ),
inference(definition,[],]) ).
fof(to_be_clausified_41,plain,
( lhs_atom42
| $false ),
inference(fold_definition,[status(thm)],[cls_id__def_0_0,def_lhs_atom42]) ).
fof(def_lhs_atom43,axiom,
! [V_z] :
( lhs_atom43(V_z)
<=> c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(V_z),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(V_z,tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_42,plain,
! [V_z] :
( lhs_atom43(V_z)
| $false ),
inference(fold_definition,[status(thm)],[cls_complex__mod__cnj_0_0,def_lhs_atom43]) ).
fof(def_lhs_atom44,axiom,
( lhs_atom44
<=> v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(definition,[],]) ).
fof(to_be_clausified_43,plain,
( lhs_atom44
| $false ),
inference(fold_definition,[status(thm)],[cls_cs0_0_0,def_lhs_atom44]) ).
fof(def_lhs_atom45,axiom,
! [V_x] :
( lhs_atom45(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_44,plain,
! [V_x] :
( lhs_atom45(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_complex__mod__minus__le__complex__mod_0_0,def_lhs_atom45]) ).
fof(def_lhs_atom46,axiom,
! [V_x] :
( lhs_atom46(V_x)
<=> c_lessequals(c_Complex_ORe(V_x),c_RealVector_Onorm__class_Onorm(V_x,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_45,plain,
! [V_x] :
( lhs_atom46(V_x)
| $false ),
inference(fold_definition,[status(thm)],[cls_complex__Re__le__cmod_0_0,def_lhs_atom46]) ).
fof(def_lhs_atom47,axiom,
! [V_w] :
( lhs_atom47(V_w)
<=> c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_46,plain,
! [V_w] :
( lhs_atom47(V_w)
| $false ),
inference(fold_definition,[status(thm)],[cls_pCons_0_0,def_lhs_atom47]) ).
fof(def_lhs_atom48,axiom,
! [V_w] :
( lhs_atom48(V_w)
<=> c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__Xhyps__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,V_w,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_47,plain,
! [V_w] :
( lhs_atom48(V_w)
| $false ),
inference(fold_definition,[status(thm)],[cls_pCons_Ohyps_0_0,def_lhs_atom48]) ).
fof(def_lhs_atom49,axiom,
! [V_w] :
( lhs_atom49(V_w)
<=> c_lessequals(V_w,V_w,tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_48,plain,
! [V_w] :
( lhs_atom49(V_w)
| $false ),
inference(fold_definition,[status(thm)],[cls_real__le__refl_0_0,def_lhs_atom49]) ).
fof(def_lhs_atom50,axiom,
( lhs_atom50
<=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_49,plain,
( lhs_atom50
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__comm__monoid__add_0,def_lhs_atom50]) ).
fof(def_lhs_atom51,axiom,
( lhs_atom51
<=> class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_50,plain,
( lhs_atom51
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring_0,def_lhs_atom51]) ).
fof(def_lhs_atom52,axiom,
( lhs_atom52
<=> class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_51,plain,
( lhs_atom52
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__ring__1_0,def_lhs_atom52]) ).
fof(def_lhs_atom53,axiom,
( lhs_atom53
<=> class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_52,plain,
( lhs_atom53
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__comm__monoid__add_0,def_lhs_atom53]) ).
fof(def_lhs_atom54,axiom,
( lhs_atom54
<=> class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_53,plain,
( lhs_atom54
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring_0,def_lhs_atom54]) ).
fof(def_lhs_atom55,axiom,
( lhs_atom55
<=> class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_54,plain,
( lhs_atom55
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__ring__1_0,def_lhs_atom55]) ).
fof(def_lhs_atom56,axiom,
( lhs_atom56
<=> class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_55,plain,
( lhs_atom56
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__cancel__ab__semigroup__add_0,def_lhs_atom56]) ).
fof(def_lhs_atom57,axiom,
( lhs_atom57
<=> class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_56,plain,
( lhs_atom57
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add__imp__le_0,def_lhs_atom57]) ).
fof(def_lhs_atom58,axiom,
( lhs_atom58
<=> class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_57,plain,
( lhs_atom58
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__comm__semiring__strict_0,def_lhs_atom58]) ).
fof(def_lhs_atom59,axiom,
( lhs_atom59
<=> class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_58,plain,
( lhs_atom59
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring_0,def_lhs_atom59]) ).
fof(def_lhs_atom60,axiom,
( lhs_atom60
<=> class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_59,plain,
( lhs_atom60
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__meet_0,def_lhs_atom60]) ).
fof(def_lhs_atom61,axiom,
( lhs_atom61
<=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_60,plain,
( lhs_atom61
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring__1__no__zero__divisors_0,def_lhs_atom61]) ).
fof(def_lhs_atom62,axiom,
( lhs_atom62
<=> class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_61,plain,
( lhs_atom62
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring__strict_0,def_lhs_atom62]) ).
fof(def_lhs_atom63,axiom,
( lhs_atom63
<=> class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_62,plain,
( lhs_atom63
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__semigroup__add_0,def_lhs_atom63]) ).
fof(def_lhs_atom64,axiom,
( lhs_atom64
<=> class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_63,plain,
( lhs_atom64
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs_0,def_lhs_atom64]) ).
fof(def_lhs_atom65,axiom,
( lhs_atom65
<=> class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_64,plain,
( lhs_atom65
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs_0,def_lhs_atom65]) ).
fof(def_lhs_atom66,axiom,
( lhs_atom66
<=> class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_65,plain,
( lhs_atom66
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__comm__monoid__add_0,def_lhs_atom66]) ).
fof(def_lhs_atom67,axiom,
( lhs_atom67
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_66,plain,
( lhs_atom67
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom67]) ).
fof(def_lhs_atom68,axiom,
( lhs_atom68
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_67,plain,
( lhs_atom68
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom68]) ).
fof(def_lhs_atom69,axiom,
( lhs_atom69
<=> class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_68,plain,
( lhs_atom69
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict_0,def_lhs_atom69]) ).
fof(def_lhs_atom70,axiom,
( lhs_atom70
<=> class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_69,plain,
( lhs_atom70
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra_0,def_lhs_atom70]) ).
fof(def_lhs_atom71,axiom,
( lhs_atom71
<=> class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_70,plain,
( lhs_atom71
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add_0,def_lhs_atom71]) ).
fof(def_lhs_atom72,axiom,
( lhs_atom72
<=> class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_71,plain,
( lhs_atom72
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add_0,def_lhs_atom72]) ).
fof(def_lhs_atom73,axiom,
( lhs_atom73
<=> class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_72,plain,
( lhs_atom73
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add_0,def_lhs_atom73]) ).
fof(def_lhs_atom74,axiom,
( lhs_atom74
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_73,plain,
( lhs_atom74
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom74]) ).
fof(def_lhs_atom75,axiom,
( lhs_atom75
<=> class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_74,plain,
( lhs_atom75
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring_0,def_lhs_atom75]) ).
fof(def_lhs_atom76,axiom,
( lhs_atom76
<=> class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_75,plain,
( lhs_atom76
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring__abs_0,def_lhs_atom76]) ).
fof(def_lhs_atom77,axiom,
( lhs_atom77
<=> class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_76,plain,
( lhs_atom77
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom77]) ).
fof(def_lhs_atom78,axiom,
( lhs_atom78
<=> class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_77,plain,
( lhs_atom78
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semiring_0,def_lhs_atom78]) ).
fof(def_lhs_atom79,axiom,
( lhs_atom79
<=> class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_78,plain,
( lhs_atom79
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom79]) ).
fof(def_lhs_atom80,axiom,
( lhs_atom80
<=> class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_79,plain,
( lhs_atom80
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__semidom_0,def_lhs_atom80]) ).
fof(def_lhs_atom81,axiom,
( lhs_atom81
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_80,plain,
( lhs_atom81
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom81]) ).
fof(def_lhs_atom82,axiom,
( lhs_atom82
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_81,plain,
( lhs_atom82
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__0_0,def_lhs_atom82]) ).
fof(def_lhs_atom83,axiom,
( lhs_atom83
<=> class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_82,plain,
( lhs_atom83
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra_0,def_lhs_atom83]) ).
fof(def_lhs_atom84,axiom,
( lhs_atom84
<=> class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_83,plain,
( lhs_atom84
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom84]) ).
fof(def_lhs_atom85,axiom,
( lhs_atom85
<=> class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_84,plain,
( lhs_atom85
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector_0,def_lhs_atom85]) ).
fof(def_lhs_atom86,axiom,
( lhs_atom86
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_85,plain,
( lhs_atom86
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom86]) ).
fof(def_lhs_atom87,axiom,
( lhs_atom87
<=> class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_86,plain,
( lhs_atom87
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom87]) ).
fof(def_lhs_atom88,axiom,
( lhs_atom88
<=> class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_87,plain,
( lhs_atom88
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring_0,def_lhs_atom88]) ).
fof(def_lhs_atom89,axiom,
( lhs_atom89
<=> class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_88,plain,
( lhs_atom89
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring_0,def_lhs_atom89]) ).
fof(def_lhs_atom90,axiom,
( lhs_atom90
<=> class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_89,plain,
( lhs_atom90
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom90]) ).
fof(def_lhs_atom91,axiom,
( lhs_atom91
<=> class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_90,plain,
( lhs_atom91
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__field_0,def_lhs_atom91]) ).
fof(def_lhs_atom92,axiom,
( lhs_atom92
<=> class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_91,plain,
( lhs_atom92
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom92]) ).
fof(def_lhs_atom93,axiom,
( lhs_atom93
<=> class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_92,plain,
( lhs_atom93
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom93]) ).
fof(def_lhs_atom94,axiom,
( lhs_atom94
<=> class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_93,plain,
( lhs_atom94
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__idom_0,def_lhs_atom94]) ).
fof(def_lhs_atom95,axiom,
( lhs_atom95
<=> class_Lattices_Olower__semilattice(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_94,plain,
( lhs_atom95
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Olower__semilattice_0,def_lhs_atom95]) ).
fof(def_lhs_atom96,axiom,
( lhs_atom96
<=> class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_95,plain,
( lhs_atom96
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1_0,def_lhs_atom96]) ).
fof(def_lhs_atom97,axiom,
( lhs_atom97
<=> class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_96,plain,
( lhs_atom97
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add_0,def_lhs_atom97]) ).
fof(def_lhs_atom98,axiom,
( lhs_atom98
<=> class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_97,plain,
( lhs_atom98
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__zero_0,def_lhs_atom98]) ).
fof(def_lhs_atom99,axiom,
( lhs_atom99
<=> class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_98,plain,
( lhs_atom99
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono_0,def_lhs_atom99]) ).
fof(def_lhs_atom100,axiom,
( lhs_atom100
<=> class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_99,plain,
( lhs_atom100
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__mult_0,def_lhs_atom100]) ).
fof(def_lhs_atom101,axiom,
( lhs_atom101
<=> class_Ring__and__Field_Osemiring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_100,plain,
( lhs_atom101
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Osemiring_0,def_lhs_atom101]) ).
fof(def_lhs_atom102,axiom,
( lhs_atom102
<=> class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_101,plain,
( lhs_atom102
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Omonoid__add_0,def_lhs_atom102]) ).
fof(def_lhs_atom103,axiom,
( lhs_atom103
<=> class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_102,plain,
( lhs_atom103
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add_0,def_lhs_atom103]) ).
fof(def_lhs_atom104,axiom,
( lhs_atom104
<=> class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_103,plain,
( lhs_atom104
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if_0,def_lhs_atom104]) ).
fof(def_lhs_atom105,axiom,
( lhs_atom105
<=> class_Ring__and__Field_Oring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_104,plain,
( lhs_atom105
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring_0,def_lhs_atom105]) ).
fof(def_lhs_atom106,axiom,
( lhs_atom106
<=> class_Ring__and__Field_Oidom(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_105,plain,
( lhs_atom106
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,def_lhs_atom106]) ).
fof(def_lhs_atom107,axiom,
( lhs_atom107
<=> class_Orderings_Opreorder(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_106,plain,
( lhs_atom107
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Opreorder_0,def_lhs_atom107]) ).
fof(def_lhs_atom108,axiom,
( lhs_atom108
<=> class_Orderings_Olinorder(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_107,plain,
( lhs_atom108
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Olinorder_0,def_lhs_atom108]) ).
fof(def_lhs_atom109,axiom,
( lhs_atom109
<=> class_Lattices_Olattice(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_108,plain,
( lhs_atom109
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Lattices_Olattice_0,def_lhs_atom109]) ).
fof(def_lhs_atom110,axiom,
( lhs_atom110
<=> class_Orderings_Oorder(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_109,plain,
( lhs_atom110
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Oorder_0,def_lhs_atom110]) ).
fof(def_lhs_atom111,axiom,
( lhs_atom111
<=> class_Int_Onumber__ring(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_110,plain,
( lhs_atom111
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Int_Onumber__ring_0,def_lhs_atom111]) ).
fof(def_lhs_atom112,axiom,
( lhs_atom112
<=> class_Power_Opower(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_111,plain,
( lhs_atom112
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Power_Opower_0,def_lhs_atom112]) ).
fof(def_lhs_atom113,axiom,
( lhs_atom113
<=> class_SEQ_Obanach(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_112,plain,
( lhs_atom113
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__SEQ_Obanach_0,def_lhs_atom113]) ).
fof(def_lhs_atom114,axiom,
( lhs_atom114
<=> class_HOL_Ozero(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_113,plain,
( lhs_atom114
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__HOL_Ozero_0,def_lhs_atom114]) ).
fof(def_lhs_atom115,axiom,
( lhs_atom115
<=> class_HOL_Oeq(tc_RealDef_Oreal) ),
inference(definition,[],]) ).
fof(to_be_clausified_114,plain,
( lhs_atom115
| $false ),
inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__HOL_Oeq_0,def_lhs_atom115]) ).
fof(def_lhs_atom116,axiom,
( lhs_atom116
<=> class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_115,plain,
( lhs_atom116
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__1__no__zero__divisors_0,def_lhs_atom116]) ).
fof(def_lhs_atom117,axiom,
( lhs_atom117
<=> class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_116,plain,
( lhs_atom117
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom117]) ).
fof(def_lhs_atom118,axiom,
( lhs_atom118
<=> class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_117,plain,
( lhs_atom118
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__ab__semigroup__add_0,def_lhs_atom118]) ).
fof(def_lhs_atom119,axiom,
( lhs_atom119
<=> class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_118,plain,
( lhs_atom119
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra_0,def_lhs_atom119]) ).
fof(def_lhs_atom120,axiom,
( lhs_atom120
<=> class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_119,plain,
( lhs_atom120
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocancel__semigroup__add_0,def_lhs_atom120]) ).
fof(def_lhs_atom121,axiom,
( lhs_atom121
<=> class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_120,plain,
( lhs_atom121
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom121]) ).
fof(def_lhs_atom122,axiom,
( lhs_atom122
<=> class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_121,plain,
( lhs_atom122
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom122]) ).
fof(def_lhs_atom123,axiom,
( lhs_atom123
<=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_122,plain,
( lhs_atom123
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom123]) ).
fof(def_lhs_atom124,axiom,
( lhs_atom124
<=> class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_123,plain,
( lhs_atom124
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__0_0,def_lhs_atom124]) ).
fof(def_lhs_atom125,axiom,
( lhs_atom125
<=> class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_124,plain,
( lhs_atom125
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra_0,def_lhs_atom125]) ).
fof(def_lhs_atom126,axiom,
( lhs_atom126
<=> class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_125,plain,
( lhs_atom126
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom126]) ).
fof(def_lhs_atom127,axiom,
( lhs_atom127
<=> class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_126,plain,
( lhs_atom127
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector_0,def_lhs_atom127]) ).
fof(def_lhs_atom128,axiom,
( lhs_atom128
<=> class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_127,plain,
( lhs_atom128
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__mult_0,def_lhs_atom128]) ).
fof(def_lhs_atom129,axiom,
( lhs_atom129
<=> class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_128,plain,
( lhs_atom129
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__add_0,def_lhs_atom129]) ).
fof(def_lhs_atom130,axiom,
( lhs_atom130
<=> class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_129,plain,
( lhs_atom130
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring_0,def_lhs_atom130]) ).
fof(def_lhs_atom131,axiom,
( lhs_atom131
<=> class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_130,plain,
( lhs_atom131
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field_0,def_lhs_atom131]) ).
fof(def_lhs_atom132,axiom,
( lhs_atom132
<=> class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_131,plain,
( lhs_atom132
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ocomm__monoid__add_0,def_lhs_atom132]) ).
fof(def_lhs_atom133,axiom,
( lhs_atom133
<=> class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_132,plain,
( lhs_atom133
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ozero__neq__one_0,def_lhs_atom133]) ).
fof(def_lhs_atom134,axiom,
( lhs_atom134
<=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_133,plain,
( lhs_atom134
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add_0,def_lhs_atom134]) ).
fof(def_lhs_atom135,axiom,
( lhs_atom135
<=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_134,plain,
( lhs_atom135
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero_0,def_lhs_atom135]) ).
fof(def_lhs_atom136,axiom,
( lhs_atom136
<=> class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_135,plain,
( lhs_atom136
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__mult_0,def_lhs_atom136]) ).
fof(def_lhs_atom137,axiom,
( lhs_atom137
<=> class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_136,plain,
( lhs_atom137
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring_0,def_lhs_atom137]) ).
fof(def_lhs_atom138,axiom,
( lhs_atom138
<=> class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_137,plain,
( lhs_atom138
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Omonoid__add_0,def_lhs_atom138]) ).
fof(def_lhs_atom139,axiom,
( lhs_atom139
<=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_138,plain,
( lhs_atom139
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add_0,def_lhs_atom139]) ).
fof(def_lhs_atom140,axiom,
( lhs_atom140
<=> class_Ring__and__Field_Oring(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_139,plain,
( lhs_atom140
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring_0,def_lhs_atom140]) ).
fof(def_lhs_atom141,axiom,
( lhs_atom141
<=> class_Ring__and__Field_Oidom(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_140,plain,
( lhs_atom141
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oidom_0,def_lhs_atom141]) ).
fof(def_lhs_atom142,axiom,
( lhs_atom142
<=> class_Int_Onumber__ring(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_141,plain,
( lhs_atom142
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Int_Onumber__ring_0,def_lhs_atom142]) ).
fof(def_lhs_atom143,axiom,
( lhs_atom143
<=> class_Power_Opower(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_142,plain,
( lhs_atom143
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Power_Opower_0,def_lhs_atom143]) ).
fof(def_lhs_atom144,axiom,
( lhs_atom144
<=> class_SEQ_Obanach(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_143,plain,
( lhs_atom144
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__SEQ_Obanach_0,def_lhs_atom144]) ).
fof(def_lhs_atom145,axiom,
( lhs_atom145
<=> class_HOL_Ozero(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_144,plain,
( lhs_atom145
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__HOL_Ozero_0,def_lhs_atom145]) ).
fof(def_lhs_atom146,axiom,
( lhs_atom146
<=> class_HOL_Oeq(tc_Complex_Ocomplex) ),
inference(definition,[],]) ).
fof(to_be_clausified_145,plain,
( lhs_atom146
| $false ),
inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__HOL_Oeq_0,def_lhs_atom146]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X2,X1,X3,X4] :
( lhs_atom3(X2,X1,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_1,axiom,
! [X6,X7,X8] :
( lhs_atom11(X6,X7,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_2,axiom,
! [X5,X6,X7] :
( lhs_atom10(X5,X6,X7)
| ~ $true ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_3,axiom,
! [X16,X17] :
( lhs_atom41(X16,X17)
| ~ $true ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_4,axiom,
! [X11,X8] :
( lhs_atom38(X11,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_5,axiom,
! [X2,X1] :
( lhs_atom35(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_6,axiom,
! [X1,X15] :
( lhs_atom29(X1,X15)
| ~ $true ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_7,axiom,
! [X1,X14] :
( lhs_atom25(X1,X14)
| ~ $true ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_8,axiom,
! [X10,X13] :
( lhs_atom23(X10,X13)
| ~ $true ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_9,axiom,
! [X2,X1] :
( lhs_atom22(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_10,axiom,
! [X1,X12] :
( lhs_atom21(X1,X12)
| ~ $true ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_11,axiom,
! [X2,X1] :
( lhs_atom20(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_12,axiom,
! [X11,X8] :
( lhs_atom16(X11,X8)
| ~ $true ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_13,axiom,
! [X9,X10] :
( lhs_atom14(X9,X10)
| ~ $true ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_14,axiom,
! [X2,X1] :
( lhs_atom12(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_15,axiom,
! [X2,X1] :
( lhs_atom9(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_16,axiom,
! [X2,X1] :
( lhs_atom8(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_17,axiom,
! [X2,X1] :
( lhs_atom5(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_18,axiom,
! [X2,X1] :
( lhs_atom4(X2,X1)
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_19,axiom,
! [X8] :
( lhs_atom49(X8)
| ~ $true ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_20,axiom,
! [X8] :
( lhs_atom48(X8)
| ~ $true ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_21,axiom,
! [X8] :
( lhs_atom47(X8)
| ~ $true ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_22,axiom,
! [X1] :
( lhs_atom46(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_23,axiom,
! [X1] :
( lhs_atom45(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_24,axiom,
! [X11] :
( lhs_atom43(X11)
| ~ $true ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_25,axiom,
! [X1] :
( lhs_atom40(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_26,axiom,
! [X1] :
( lhs_atom39(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_27,axiom,
! [X1] :
( lhs_atom37(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_28,axiom,
! [X1] :
( lhs_atom34(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_29,axiom,
! [X1] :
( lhs_atom33(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_30,axiom,
! [X1] :
( lhs_atom32(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_31,axiom,
! [X1] :
( lhs_atom30(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_32,axiom,
! [X1] :
( lhs_atom28(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_33,axiom,
! [X1] :
( lhs_atom26(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_34,axiom,
! [X11] :
( lhs_atom24(X11)
| ~ $true ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_35,axiom,
! [X1] :
( lhs_atom19(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_36,axiom,
! [X1] :
( lhs_atom17(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_37,axiom,
! [X1] :
( lhs_atom7(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_38,axiom,
! [X1] :
( lhs_atom6(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_39,axiom,
! [X1] :
( lhs_atom2(X1)
| ~ $true ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_40,axiom,
( lhs_atom146
| ~ $true ),
file('<stdin>',to_be_clausified_145) ).
fof(c_0_41,axiom,
( lhs_atom145
| ~ $true ),
file('<stdin>',to_be_clausified_144) ).
fof(c_0_42,axiom,
( lhs_atom144
| ~ $true ),
file('<stdin>',to_be_clausified_143) ).
fof(c_0_43,axiom,
( lhs_atom143
| ~ $true ),
file('<stdin>',to_be_clausified_142) ).
fof(c_0_44,axiom,
( lhs_atom142
| ~ $true ),
file('<stdin>',to_be_clausified_141) ).
fof(c_0_45,axiom,
( lhs_atom141
| ~ $true ),
file('<stdin>',to_be_clausified_140) ).
fof(c_0_46,axiom,
( lhs_atom140
| ~ $true ),
file('<stdin>',to_be_clausified_139) ).
fof(c_0_47,axiom,
( lhs_atom139
| ~ $true ),
file('<stdin>',to_be_clausified_138) ).
fof(c_0_48,axiom,
( lhs_atom138
| ~ $true ),
file('<stdin>',to_be_clausified_137) ).
fof(c_0_49,axiom,
( lhs_atom137
| ~ $true ),
file('<stdin>',to_be_clausified_136) ).
fof(c_0_50,axiom,
( lhs_atom136
| ~ $true ),
file('<stdin>',to_be_clausified_135) ).
fof(c_0_51,axiom,
( lhs_atom135
| ~ $true ),
file('<stdin>',to_be_clausified_134) ).
fof(c_0_52,axiom,
( lhs_atom134
| ~ $true ),
file('<stdin>',to_be_clausified_133) ).
fof(c_0_53,axiom,
( lhs_atom133
| ~ $true ),
file('<stdin>',to_be_clausified_132) ).
fof(c_0_54,axiom,
( lhs_atom132
| ~ $true ),
file('<stdin>',to_be_clausified_131) ).
fof(c_0_55,axiom,
( lhs_atom131
| ~ $true ),
file('<stdin>',to_be_clausified_130) ).
fof(c_0_56,axiom,
( lhs_atom130
| ~ $true ),
file('<stdin>',to_be_clausified_129) ).
fof(c_0_57,axiom,
( lhs_atom129
| ~ $true ),
file('<stdin>',to_be_clausified_128) ).
fof(c_0_58,axiom,
( lhs_atom128
| ~ $true ),
file('<stdin>',to_be_clausified_127) ).
fof(c_0_59,axiom,
( lhs_atom127
| ~ $true ),
file('<stdin>',to_be_clausified_126) ).
fof(c_0_60,axiom,
( lhs_atom126
| ~ $true ),
file('<stdin>',to_be_clausified_125) ).
fof(c_0_61,axiom,
( lhs_atom125
| ~ $true ),
file('<stdin>',to_be_clausified_124) ).
fof(c_0_62,axiom,
( lhs_atom124
| ~ $true ),
file('<stdin>',to_be_clausified_123) ).
fof(c_0_63,axiom,
( lhs_atom123
| ~ $true ),
file('<stdin>',to_be_clausified_122) ).
fof(c_0_64,axiom,
( lhs_atom122
| ~ $true ),
file('<stdin>',to_be_clausified_121) ).
fof(c_0_65,axiom,
( lhs_atom121
| ~ $true ),
file('<stdin>',to_be_clausified_120) ).
fof(c_0_66,axiom,
( lhs_atom120
| ~ $true ),
file('<stdin>',to_be_clausified_119) ).
fof(c_0_67,axiom,
( lhs_atom119
| ~ $true ),
file('<stdin>',to_be_clausified_118) ).
fof(c_0_68,axiom,
( lhs_atom118
| ~ $true ),
file('<stdin>',to_be_clausified_117) ).
fof(c_0_69,axiom,
( lhs_atom117
| ~ $true ),
file('<stdin>',to_be_clausified_116) ).
fof(c_0_70,axiom,
( lhs_atom116
| ~ $true ),
file('<stdin>',to_be_clausified_115) ).
fof(c_0_71,axiom,
( lhs_atom115
| ~ $true ),
file('<stdin>',to_be_clausified_114) ).
fof(c_0_72,axiom,
( lhs_atom114
| ~ $true ),
file('<stdin>',to_be_clausified_113) ).
fof(c_0_73,axiom,
( lhs_atom113
| ~ $true ),
file('<stdin>',to_be_clausified_112) ).
fof(c_0_74,axiom,
( lhs_atom112
| ~ $true ),
file('<stdin>',to_be_clausified_111) ).
fof(c_0_75,axiom,
( lhs_atom111
| ~ $true ),
file('<stdin>',to_be_clausified_110) ).
fof(c_0_76,axiom,
( lhs_atom110
| ~ $true ),
file('<stdin>',to_be_clausified_109) ).
fof(c_0_77,axiom,
( lhs_atom109
| ~ $true ),
file('<stdin>',to_be_clausified_108) ).
fof(c_0_78,axiom,
( lhs_atom108
| ~ $true ),
file('<stdin>',to_be_clausified_107) ).
fof(c_0_79,axiom,
( lhs_atom107
| ~ $true ),
file('<stdin>',to_be_clausified_106) ).
fof(c_0_80,axiom,
( lhs_atom106
| ~ $true ),
file('<stdin>',to_be_clausified_105) ).
fof(c_0_81,axiom,
( lhs_atom105
| ~ $true ),
file('<stdin>',to_be_clausified_104) ).
fof(c_0_82,axiom,
( lhs_atom104
| ~ $true ),
file('<stdin>',to_be_clausified_103) ).
fof(c_0_83,axiom,
( lhs_atom103
| ~ $true ),
file('<stdin>',to_be_clausified_102) ).
fof(c_0_84,axiom,
( lhs_atom102
| ~ $true ),
file('<stdin>',to_be_clausified_101) ).
fof(c_0_85,axiom,
( lhs_atom101
| ~ $true ),
file('<stdin>',to_be_clausified_100) ).
fof(c_0_86,axiom,
( lhs_atom100
| ~ $true ),
file('<stdin>',to_be_clausified_99) ).
fof(c_0_87,axiom,
( lhs_atom99
| ~ $true ),
file('<stdin>',to_be_clausified_98) ).
fof(c_0_88,axiom,
( lhs_atom98
| ~ $true ),
file('<stdin>',to_be_clausified_97) ).
fof(c_0_89,axiom,
( lhs_atom97
| ~ $true ),
file('<stdin>',to_be_clausified_96) ).
fof(c_0_90,axiom,
( lhs_atom96
| ~ $true ),
file('<stdin>',to_be_clausified_95) ).
fof(c_0_91,axiom,
( lhs_atom95
| ~ $true ),
file('<stdin>',to_be_clausified_94) ).
fof(c_0_92,axiom,
( lhs_atom94
| ~ $true ),
file('<stdin>',to_be_clausified_93) ).
fof(c_0_93,axiom,
( lhs_atom93
| ~ $true ),
file('<stdin>',to_be_clausified_92) ).
fof(c_0_94,axiom,
( lhs_atom92
| ~ $true ),
file('<stdin>',to_be_clausified_91) ).
fof(c_0_95,axiom,
( lhs_atom91
| ~ $true ),
file('<stdin>',to_be_clausified_90) ).
fof(c_0_96,axiom,
( lhs_atom90
| ~ $true ),
file('<stdin>',to_be_clausified_89) ).
fof(c_0_97,axiom,
( lhs_atom89
| ~ $true ),
file('<stdin>',to_be_clausified_88) ).
fof(c_0_98,axiom,
( lhs_atom88
| ~ $true ),
file('<stdin>',to_be_clausified_87) ).
fof(c_0_99,axiom,
( lhs_atom87
| ~ $true ),
file('<stdin>',to_be_clausified_86) ).
fof(c_0_100,axiom,
( lhs_atom86
| ~ $true ),
file('<stdin>',to_be_clausified_85) ).
fof(c_0_101,axiom,
( lhs_atom85
| ~ $true ),
file('<stdin>',to_be_clausified_84) ).
fof(c_0_102,axiom,
( lhs_atom84
| ~ $true ),
file('<stdin>',to_be_clausified_83) ).
fof(c_0_103,axiom,
( lhs_atom83
| ~ $true ),
file('<stdin>',to_be_clausified_82) ).
fof(c_0_104,axiom,
( lhs_atom82
| ~ $true ),
file('<stdin>',to_be_clausified_81) ).
fof(c_0_105,axiom,
( lhs_atom81
| ~ $true ),
file('<stdin>',to_be_clausified_80) ).
fof(c_0_106,axiom,
( lhs_atom80
| ~ $true ),
file('<stdin>',to_be_clausified_79) ).
fof(c_0_107,axiom,
( lhs_atom79
| ~ $true ),
file('<stdin>',to_be_clausified_78) ).
fof(c_0_108,axiom,
( lhs_atom78
| ~ $true ),
file('<stdin>',to_be_clausified_77) ).
fof(c_0_109,axiom,
( lhs_atom77
| ~ $true ),
file('<stdin>',to_be_clausified_76) ).
fof(c_0_110,axiom,
( lhs_atom76
| ~ $true ),
file('<stdin>',to_be_clausified_75) ).
fof(c_0_111,axiom,
( lhs_atom75
| ~ $true ),
file('<stdin>',to_be_clausified_74) ).
fof(c_0_112,axiom,
( lhs_atom74
| ~ $true ),
file('<stdin>',to_be_clausified_73) ).
fof(c_0_113,axiom,
( lhs_atom73
| ~ $true ),
file('<stdin>',to_be_clausified_72) ).
fof(c_0_114,axiom,
( lhs_atom72
| ~ $true ),
file('<stdin>',to_be_clausified_71) ).
fof(c_0_115,axiom,
( lhs_atom71
| ~ $true ),
file('<stdin>',to_be_clausified_70) ).
fof(c_0_116,axiom,
( lhs_atom70
| ~ $true ),
file('<stdin>',to_be_clausified_69) ).
fof(c_0_117,axiom,
( lhs_atom69
| ~ $true ),
file('<stdin>',to_be_clausified_68) ).
fof(c_0_118,axiom,
( lhs_atom68
| ~ $true ),
file('<stdin>',to_be_clausified_67) ).
fof(c_0_119,axiom,
( lhs_atom67
| ~ $true ),
file('<stdin>',to_be_clausified_66) ).
fof(c_0_120,axiom,
( lhs_atom66
| ~ $true ),
file('<stdin>',to_be_clausified_65) ).
fof(c_0_121,axiom,
( lhs_atom65
| ~ $true ),
file('<stdin>',to_be_clausified_64) ).
fof(c_0_122,axiom,
( lhs_atom64
| ~ $true ),
file('<stdin>',to_be_clausified_63) ).
fof(c_0_123,axiom,
( lhs_atom63
| ~ $true ),
file('<stdin>',to_be_clausified_62) ).
fof(c_0_124,axiom,
( lhs_atom62
| ~ $true ),
file('<stdin>',to_be_clausified_61) ).
fof(c_0_125,axiom,
( lhs_atom61
| ~ $true ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_126,axiom,
( lhs_atom60
| ~ $true ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_127,axiom,
( lhs_atom59
| ~ $true ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_128,axiom,
( lhs_atom58
| ~ $true ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_129,axiom,
( lhs_atom57
| ~ $true ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_130,axiom,
( lhs_atom56
| ~ $true ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_131,axiom,
( lhs_atom55
| ~ $true ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_132,axiom,
( lhs_atom54
| ~ $true ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_133,axiom,
( lhs_atom53
| ~ $true ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_134,axiom,
( lhs_atom52
| ~ $true ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_135,axiom,
( lhs_atom51
| ~ $true ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_136,axiom,
( lhs_atom50
| ~ $true ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_137,axiom,
( lhs_atom44
| ~ $true ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_138,axiom,
( lhs_atom42
| ~ $true ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_139,axiom,
( lhs_atom36
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_140,axiom,
( lhs_atom31
| ~ $true ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_141,axiom,
( lhs_atom27
| ~ $true ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_142,axiom,
( lhs_atom18
| ~ $true ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_143,axiom,
( lhs_atom15
| ~ $true ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_144,axiom,
( lhs_atom13
| ~ $true ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_145,axiom,
( lhs_atom1
| ~ $true ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_146,plain,
! [X2,X1,X3,X4] : lhs_atom3(X2,X1,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_147,plain,
! [X6,X7,X8] : lhs_atom11(X6,X7,X8),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_148,plain,
! [X5,X6,X7] : lhs_atom10(X5,X6,X7),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_149,plain,
! [X16,X17] : lhs_atom41(X16,X17),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_150,plain,
! [X11,X8] : lhs_atom38(X11,X8),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_151,plain,
! [X2,X1] : lhs_atom35(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_152,plain,
! [X1,X15] : lhs_atom29(X1,X15),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_153,plain,
! [X1,X14] : lhs_atom25(X1,X14),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_154,plain,
! [X10,X13] : lhs_atom23(X10,X13),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_155,plain,
! [X2,X1] : lhs_atom22(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_156,plain,
! [X1,X12] : lhs_atom21(X1,X12),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_157,plain,
! [X2,X1] : lhs_atom20(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_158,plain,
! [X11,X8] : lhs_atom16(X11,X8),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_159,plain,
! [X9,X10] : lhs_atom14(X9,X10),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_160,plain,
! [X2,X1] : lhs_atom12(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_161,plain,
! [X2,X1] : lhs_atom9(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_162,plain,
! [X2,X1] : lhs_atom8(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_163,plain,
! [X2,X1] : lhs_atom5(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_164,plain,
! [X2,X1] : lhs_atom4(X2,X1),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_165,plain,
! [X8] : lhs_atom49(X8),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_166,plain,
! [X8] : lhs_atom48(X8),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_167,plain,
! [X8] : lhs_atom47(X8),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_168,plain,
! [X1] : lhs_atom46(X1),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_169,plain,
! [X1] : lhs_atom45(X1),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_170,plain,
! [X11] : lhs_atom43(X11),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_171,plain,
! [X1] : lhs_atom40(X1),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_172,plain,
! [X1] : lhs_atom39(X1),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_173,plain,
! [X1] : lhs_atom37(X1),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_174,plain,
! [X1] : lhs_atom34(X1),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_175,plain,
! [X1] : lhs_atom33(X1),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_176,plain,
! [X1] : lhs_atom32(X1),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_177,plain,
! [X1] : lhs_atom30(X1),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_178,plain,
! [X1] : lhs_atom28(X1),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_179,plain,
! [X1] : lhs_atom26(X1),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_180,plain,
! [X11] : lhs_atom24(X11),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_181,plain,
! [X1] : lhs_atom19(X1),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_182,plain,
! [X1] : lhs_atom17(X1),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_183,plain,
! [X1] : lhs_atom7(X1),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_184,plain,
! [X1] : lhs_atom6(X1),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_185,plain,
! [X1] : lhs_atom2(X1),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_186,plain,
lhs_atom146,
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_187,plain,
lhs_atom145,
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_188,plain,
lhs_atom144,
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_189,plain,
lhs_atom143,
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_190,plain,
lhs_atom142,
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_191,plain,
lhs_atom141,
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_192,plain,
lhs_atom140,
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_193,plain,
lhs_atom139,
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_194,plain,
lhs_atom138,
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_195,plain,
lhs_atom137,
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_196,plain,
lhs_atom136,
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_197,plain,
lhs_atom135,
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_198,plain,
lhs_atom134,
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_199,plain,
lhs_atom133,
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_200,plain,
lhs_atom132,
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_201,plain,
lhs_atom131,
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_202,plain,
lhs_atom130,
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_203,plain,
lhs_atom129,
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_204,plain,
lhs_atom128,
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_205,plain,
lhs_atom127,
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_206,plain,
lhs_atom126,
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_207,plain,
lhs_atom125,
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_208,plain,
lhs_atom124,
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_209,plain,
lhs_atom123,
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_210,plain,
lhs_atom122,
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_211,plain,
lhs_atom121,
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_212,plain,
lhs_atom120,
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_213,plain,
lhs_atom119,
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_214,plain,
lhs_atom118,
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_215,plain,
lhs_atom117,
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_216,plain,
lhs_atom116,
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_217,plain,
lhs_atom115,
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_218,plain,
lhs_atom114,
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_219,plain,
lhs_atom113,
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_220,plain,
lhs_atom112,
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_221,plain,
lhs_atom111,
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_222,plain,
lhs_atom110,
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_223,plain,
lhs_atom109,
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_224,plain,
lhs_atom108,
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_225,plain,
lhs_atom107,
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_226,plain,
lhs_atom106,
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_227,plain,
lhs_atom105,
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_228,plain,
lhs_atom104,
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_229,plain,
lhs_atom103,
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_230,plain,
lhs_atom102,
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_231,plain,
lhs_atom101,
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_232,plain,
lhs_atom100,
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_233,plain,
lhs_atom99,
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_234,plain,
lhs_atom98,
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_235,plain,
lhs_atom97,
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_236,plain,
lhs_atom96,
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_237,plain,
lhs_atom95,
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_238,plain,
lhs_atom94,
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_239,plain,
lhs_atom93,
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_240,plain,
lhs_atom92,
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_241,plain,
lhs_atom91,
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_242,plain,
lhs_atom90,
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_243,plain,
lhs_atom89,
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_244,plain,
lhs_atom88,
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_245,plain,
lhs_atom87,
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_246,plain,
lhs_atom86,
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_247,plain,
lhs_atom85,
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_248,plain,
lhs_atom84,
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_249,plain,
lhs_atom83,
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_250,plain,
lhs_atom82,
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_251,plain,
lhs_atom81,
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_252,plain,
lhs_atom80,
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_253,plain,
lhs_atom79,
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_254,plain,
lhs_atom78,
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_255,plain,
lhs_atom77,
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_256,plain,
lhs_atom76,
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_257,plain,
lhs_atom75,
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_258,plain,
lhs_atom74,
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_259,plain,
lhs_atom73,
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_260,plain,
lhs_atom72,
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_261,plain,
lhs_atom71,
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_262,plain,
lhs_atom70,
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_263,plain,
lhs_atom69,
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_264,plain,
lhs_atom68,
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_265,plain,
lhs_atom67,
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_266,plain,
lhs_atom66,
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_267,plain,
lhs_atom65,
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_268,plain,
lhs_atom64,
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_269,plain,
lhs_atom63,
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_270,plain,
lhs_atom62,
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_271,plain,
lhs_atom61,
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_272,plain,
lhs_atom60,
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_273,plain,
lhs_atom59,
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_274,plain,
lhs_atom58,
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_275,plain,
lhs_atom57,
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_276,plain,
lhs_atom56,
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_277,plain,
lhs_atom55,
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_278,plain,
lhs_atom54,
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_279,plain,
lhs_atom53,
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_280,plain,
lhs_atom52,
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_281,plain,
lhs_atom51,
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_282,plain,
lhs_atom50,
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_283,plain,
lhs_atom44,
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_284,plain,
lhs_atom42,
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_285,plain,
lhs_atom36,
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_286,plain,
lhs_atom31,
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_287,plain,
lhs_atom27,
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_288,plain,
lhs_atom18,
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_289,plain,
lhs_atom15,
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_290,plain,
lhs_atom13,
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_291,plain,
lhs_atom1,
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_292,plain,
! [X5,X6,X7,X8] : lhs_atom3(X5,X6,X7,X8),
inference(variable_rename,[status(thm)],[c_0_146]) ).
fof(c_0_293,plain,
! [X9,X10,X11] : lhs_atom11(X9,X10,X11),
inference(variable_rename,[status(thm)],[c_0_147]) ).
fof(c_0_294,plain,
! [X8,X9,X10] : lhs_atom10(X8,X9,X10),
inference(variable_rename,[status(thm)],[c_0_148]) ).
fof(c_0_295,plain,
! [X18,X19] : lhs_atom41(X18,X19),
inference(variable_rename,[status(thm)],[c_0_149]) ).
fof(c_0_296,plain,
! [X12,X13] : lhs_atom38(X12,X13),
inference(variable_rename,[status(thm)],[c_0_150]) ).
fof(c_0_297,plain,
! [X3,X4] : lhs_atom35(X3,X4),
inference(variable_rename,[status(thm)],[c_0_151]) ).
fof(c_0_298,plain,
! [X16,X17] : lhs_atom29(X16,X17),
inference(variable_rename,[status(thm)],[c_0_152]) ).
fof(c_0_299,plain,
! [X15,X16] : lhs_atom25(X15,X16),
inference(variable_rename,[status(thm)],[c_0_153]) ).
fof(c_0_300,plain,
! [X14,X15] : lhs_atom23(X14,X15),
inference(variable_rename,[status(thm)],[c_0_154]) ).
fof(c_0_301,plain,
! [X3,X4] : lhs_atom22(X3,X4),
inference(variable_rename,[status(thm)],[c_0_155]) ).
fof(c_0_302,plain,
! [X13,X14] : lhs_atom21(X13,X14),
inference(variable_rename,[status(thm)],[c_0_156]) ).
fof(c_0_303,plain,
! [X3,X4] : lhs_atom20(X3,X4),
inference(variable_rename,[status(thm)],[c_0_157]) ).
fof(c_0_304,plain,
! [X12,X13] : lhs_atom16(X12,X13),
inference(variable_rename,[status(thm)],[c_0_158]) ).
fof(c_0_305,plain,
! [X11,X12] : lhs_atom14(X11,X12),
inference(variable_rename,[status(thm)],[c_0_159]) ).
fof(c_0_306,plain,
! [X3,X4] : lhs_atom12(X3,X4),
inference(variable_rename,[status(thm)],[c_0_160]) ).
fof(c_0_307,plain,
! [X3,X4] : lhs_atom9(X3,X4),
inference(variable_rename,[status(thm)],[c_0_161]) ).
fof(c_0_308,plain,
! [X3,X4] : lhs_atom8(X3,X4),
inference(variable_rename,[status(thm)],[c_0_162]) ).
fof(c_0_309,plain,
! [X3,X4] : lhs_atom5(X3,X4),
inference(variable_rename,[status(thm)],[c_0_163]) ).
fof(c_0_310,plain,
! [X3,X4] : lhs_atom4(X3,X4),
inference(variable_rename,[status(thm)],[c_0_164]) ).
fof(c_0_311,plain,
! [X9] : lhs_atom49(X9),
inference(variable_rename,[status(thm)],[c_0_165]) ).
fof(c_0_312,plain,
! [X9] : lhs_atom48(X9),
inference(variable_rename,[status(thm)],[c_0_166]) ).
fof(c_0_313,plain,
! [X9] : lhs_atom47(X9),
inference(variable_rename,[status(thm)],[c_0_167]) ).
fof(c_0_314,plain,
! [X2] : lhs_atom46(X2),
inference(variable_rename,[status(thm)],[c_0_168]) ).
fof(c_0_315,plain,
! [X2] : lhs_atom45(X2),
inference(variable_rename,[status(thm)],[c_0_169]) ).
fof(c_0_316,plain,
! [X12] : lhs_atom43(X12),
inference(variable_rename,[status(thm)],[c_0_170]) ).
fof(c_0_317,plain,
! [X2] : lhs_atom40(X2),
inference(variable_rename,[status(thm)],[c_0_171]) ).
fof(c_0_318,plain,
! [X2] : lhs_atom39(X2),
inference(variable_rename,[status(thm)],[c_0_172]) ).
fof(c_0_319,plain,
! [X2] : lhs_atom37(X2),
inference(variable_rename,[status(thm)],[c_0_173]) ).
fof(c_0_320,plain,
! [X2] : lhs_atom34(X2),
inference(variable_rename,[status(thm)],[c_0_174]) ).
fof(c_0_321,plain,
! [X2] : lhs_atom33(X2),
inference(variable_rename,[status(thm)],[c_0_175]) ).
fof(c_0_322,plain,
! [X2] : lhs_atom32(X2),
inference(variable_rename,[status(thm)],[c_0_176]) ).
fof(c_0_323,plain,
! [X2] : lhs_atom30(X2),
inference(variable_rename,[status(thm)],[c_0_177]) ).
fof(c_0_324,plain,
! [X2] : lhs_atom28(X2),
inference(variable_rename,[status(thm)],[c_0_178]) ).
fof(c_0_325,plain,
! [X2] : lhs_atom26(X2),
inference(variable_rename,[status(thm)],[c_0_179]) ).
fof(c_0_326,plain,
! [X12] : lhs_atom24(X12),
inference(variable_rename,[status(thm)],[c_0_180]) ).
fof(c_0_327,plain,
! [X2] : lhs_atom19(X2),
inference(variable_rename,[status(thm)],[c_0_181]) ).
fof(c_0_328,plain,
! [X2] : lhs_atom17(X2),
inference(variable_rename,[status(thm)],[c_0_182]) ).
fof(c_0_329,plain,
! [X2] : lhs_atom7(X2),
inference(variable_rename,[status(thm)],[c_0_183]) ).
fof(c_0_330,plain,
! [X2] : lhs_atom6(X2),
inference(variable_rename,[status(thm)],[c_0_184]) ).
fof(c_0_331,plain,
! [X2] : lhs_atom2(X2),
inference(variable_rename,[status(thm)],[c_0_185]) ).
fof(c_0_332,plain,
lhs_atom146,
c_0_186 ).
fof(c_0_333,plain,
lhs_atom145,
c_0_187 ).
fof(c_0_334,plain,
lhs_atom144,
c_0_188 ).
fof(c_0_335,plain,
lhs_atom143,
c_0_189 ).
fof(c_0_336,plain,
lhs_atom142,
c_0_190 ).
fof(c_0_337,plain,
lhs_atom141,
c_0_191 ).
fof(c_0_338,plain,
lhs_atom140,
c_0_192 ).
fof(c_0_339,plain,
lhs_atom139,
c_0_193 ).
fof(c_0_340,plain,
lhs_atom138,
c_0_194 ).
fof(c_0_341,plain,
lhs_atom137,
c_0_195 ).
fof(c_0_342,plain,
lhs_atom136,
c_0_196 ).
fof(c_0_343,plain,
lhs_atom135,
c_0_197 ).
fof(c_0_344,plain,
lhs_atom134,
c_0_198 ).
fof(c_0_345,plain,
lhs_atom133,
c_0_199 ).
fof(c_0_346,plain,
lhs_atom132,
c_0_200 ).
fof(c_0_347,plain,
lhs_atom131,
c_0_201 ).
fof(c_0_348,plain,
lhs_atom130,
c_0_202 ).
fof(c_0_349,plain,
lhs_atom129,
c_0_203 ).
fof(c_0_350,plain,
lhs_atom128,
c_0_204 ).
fof(c_0_351,plain,
lhs_atom127,
c_0_205 ).
fof(c_0_352,plain,
lhs_atom126,
c_0_206 ).
fof(c_0_353,plain,
lhs_atom125,
c_0_207 ).
fof(c_0_354,plain,
lhs_atom124,
c_0_208 ).
fof(c_0_355,plain,
lhs_atom123,
c_0_209 ).
fof(c_0_356,plain,
lhs_atom122,
c_0_210 ).
fof(c_0_357,plain,
lhs_atom121,
c_0_211 ).
fof(c_0_358,plain,
lhs_atom120,
c_0_212 ).
fof(c_0_359,plain,
lhs_atom119,
c_0_213 ).
fof(c_0_360,plain,
lhs_atom118,
c_0_214 ).
fof(c_0_361,plain,
lhs_atom117,
c_0_215 ).
fof(c_0_362,plain,
lhs_atom116,
c_0_216 ).
fof(c_0_363,plain,
lhs_atom115,
c_0_217 ).
fof(c_0_364,plain,
lhs_atom114,
c_0_218 ).
fof(c_0_365,plain,
lhs_atom113,
c_0_219 ).
fof(c_0_366,plain,
lhs_atom112,
c_0_220 ).
fof(c_0_367,plain,
lhs_atom111,
c_0_221 ).
fof(c_0_368,plain,
lhs_atom110,
c_0_222 ).
fof(c_0_369,plain,
lhs_atom109,
c_0_223 ).
fof(c_0_370,plain,
lhs_atom108,
c_0_224 ).
fof(c_0_371,plain,
lhs_atom107,
c_0_225 ).
fof(c_0_372,plain,
lhs_atom106,
c_0_226 ).
fof(c_0_373,plain,
lhs_atom105,
c_0_227 ).
fof(c_0_374,plain,
lhs_atom104,
c_0_228 ).
fof(c_0_375,plain,
lhs_atom103,
c_0_229 ).
fof(c_0_376,plain,
lhs_atom102,
c_0_230 ).
fof(c_0_377,plain,
lhs_atom101,
c_0_231 ).
fof(c_0_378,plain,
lhs_atom100,
c_0_232 ).
fof(c_0_379,plain,
lhs_atom99,
c_0_233 ).
fof(c_0_380,plain,
lhs_atom98,
c_0_234 ).
fof(c_0_381,plain,
lhs_atom97,
c_0_235 ).
fof(c_0_382,plain,
lhs_atom96,
c_0_236 ).
fof(c_0_383,plain,
lhs_atom95,
c_0_237 ).
fof(c_0_384,plain,
lhs_atom94,
c_0_238 ).
fof(c_0_385,plain,
lhs_atom93,
c_0_239 ).
fof(c_0_386,plain,
lhs_atom92,
c_0_240 ).
fof(c_0_387,plain,
lhs_atom91,
c_0_241 ).
fof(c_0_388,plain,
lhs_atom90,
c_0_242 ).
fof(c_0_389,plain,
lhs_atom89,
c_0_243 ).
fof(c_0_390,plain,
lhs_atom88,
c_0_244 ).
fof(c_0_391,plain,
lhs_atom87,
c_0_245 ).
fof(c_0_392,plain,
lhs_atom86,
c_0_246 ).
fof(c_0_393,plain,
lhs_atom85,
c_0_247 ).
fof(c_0_394,plain,
lhs_atom84,
c_0_248 ).
fof(c_0_395,plain,
lhs_atom83,
c_0_249 ).
fof(c_0_396,plain,
lhs_atom82,
c_0_250 ).
fof(c_0_397,plain,
lhs_atom81,
c_0_251 ).
fof(c_0_398,plain,
lhs_atom80,
c_0_252 ).
fof(c_0_399,plain,
lhs_atom79,
c_0_253 ).
fof(c_0_400,plain,
lhs_atom78,
c_0_254 ).
fof(c_0_401,plain,
lhs_atom77,
c_0_255 ).
fof(c_0_402,plain,
lhs_atom76,
c_0_256 ).
fof(c_0_403,plain,
lhs_atom75,
c_0_257 ).
fof(c_0_404,plain,
lhs_atom74,
c_0_258 ).
fof(c_0_405,plain,
lhs_atom73,
c_0_259 ).
fof(c_0_406,plain,
lhs_atom72,
c_0_260 ).
fof(c_0_407,plain,
lhs_atom71,
c_0_261 ).
fof(c_0_408,plain,
lhs_atom70,
c_0_262 ).
fof(c_0_409,plain,
lhs_atom69,
c_0_263 ).
fof(c_0_410,plain,
lhs_atom68,
c_0_264 ).
fof(c_0_411,plain,
lhs_atom67,
c_0_265 ).
fof(c_0_412,plain,
lhs_atom66,
c_0_266 ).
fof(c_0_413,plain,
lhs_atom65,
c_0_267 ).
fof(c_0_414,plain,
lhs_atom64,
c_0_268 ).
fof(c_0_415,plain,
lhs_atom63,
c_0_269 ).
fof(c_0_416,plain,
lhs_atom62,
c_0_270 ).
fof(c_0_417,plain,
lhs_atom61,
c_0_271 ).
fof(c_0_418,plain,
lhs_atom60,
c_0_272 ).
fof(c_0_419,plain,
lhs_atom59,
c_0_273 ).
fof(c_0_420,plain,
lhs_atom58,
c_0_274 ).
fof(c_0_421,plain,
lhs_atom57,
c_0_275 ).
fof(c_0_422,plain,
lhs_atom56,
c_0_276 ).
fof(c_0_423,plain,
lhs_atom55,
c_0_277 ).
fof(c_0_424,plain,
lhs_atom54,
c_0_278 ).
fof(c_0_425,plain,
lhs_atom53,
c_0_279 ).
fof(c_0_426,plain,
lhs_atom52,
c_0_280 ).
fof(c_0_427,plain,
lhs_atom51,
c_0_281 ).
fof(c_0_428,plain,
lhs_atom50,
c_0_282 ).
fof(c_0_429,plain,
lhs_atom44,
c_0_283 ).
fof(c_0_430,plain,
lhs_atom42,
c_0_284 ).
fof(c_0_431,plain,
lhs_atom36,
c_0_285 ).
fof(c_0_432,plain,
lhs_atom31,
c_0_286 ).
fof(c_0_433,plain,
lhs_atom27,
c_0_287 ).
fof(c_0_434,plain,
lhs_atom18,
c_0_288 ).
fof(c_0_435,plain,
lhs_atom15,
c_0_289 ).
fof(c_0_436,plain,
lhs_atom13,
c_0_290 ).
fof(c_0_437,plain,
lhs_atom1,
c_0_291 ).
cnf(c_0_438,plain,
lhs_atom3(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_292]) ).
cnf(c_0_439,plain,
lhs_atom11(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_293]) ).
cnf(c_0_440,plain,
lhs_atom10(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_294]) ).
cnf(c_0_441,plain,
lhs_atom41(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_295]) ).
cnf(c_0_442,plain,
lhs_atom38(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_296]) ).
cnf(c_0_443,plain,
lhs_atom35(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_297]) ).
cnf(c_0_444,plain,
lhs_atom29(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_445,plain,
lhs_atom25(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_299]) ).
cnf(c_0_446,plain,
lhs_atom23(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_300]) ).
cnf(c_0_447,plain,
lhs_atom22(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_301]) ).
cnf(c_0_448,plain,
lhs_atom21(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_302]) ).
cnf(c_0_449,plain,
lhs_atom20(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_303]) ).
cnf(c_0_450,plain,
lhs_atom16(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_304]) ).
cnf(c_0_451,plain,
lhs_atom14(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_305]) ).
cnf(c_0_452,plain,
lhs_atom12(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_306]) ).
cnf(c_0_453,plain,
lhs_atom9(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_307]) ).
cnf(c_0_454,plain,
lhs_atom8(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_308]) ).
cnf(c_0_455,plain,
lhs_atom5(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_309]) ).
cnf(c_0_456,plain,
lhs_atom4(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_310]) ).
cnf(c_0_457,plain,
lhs_atom49(X1),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_458,plain,
lhs_atom48(X1),
inference(split_conjunct,[status(thm)],[c_0_312]) ).
cnf(c_0_459,plain,
lhs_atom47(X1),
inference(split_conjunct,[status(thm)],[c_0_313]) ).
cnf(c_0_460,plain,
lhs_atom46(X1),
inference(split_conjunct,[status(thm)],[c_0_314]) ).
cnf(c_0_461,plain,
lhs_atom45(X1),
inference(split_conjunct,[status(thm)],[c_0_315]) ).
cnf(c_0_462,plain,
lhs_atom43(X1),
inference(split_conjunct,[status(thm)],[c_0_316]) ).
cnf(c_0_463,plain,
lhs_atom40(X1),
inference(split_conjunct,[status(thm)],[c_0_317]) ).
cnf(c_0_464,plain,
lhs_atom39(X1),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_465,plain,
lhs_atom37(X1),
inference(split_conjunct,[status(thm)],[c_0_319]) ).
cnf(c_0_466,plain,
lhs_atom34(X1),
inference(split_conjunct,[status(thm)],[c_0_320]) ).
cnf(c_0_467,plain,
lhs_atom33(X1),
inference(split_conjunct,[status(thm)],[c_0_321]) ).
cnf(c_0_468,plain,
lhs_atom32(X1),
inference(split_conjunct,[status(thm)],[c_0_322]) ).
cnf(c_0_469,plain,
lhs_atom30(X1),
inference(split_conjunct,[status(thm)],[c_0_323]) ).
cnf(c_0_470,plain,
lhs_atom28(X1),
inference(split_conjunct,[status(thm)],[c_0_324]) ).
cnf(c_0_471,plain,
lhs_atom26(X1),
inference(split_conjunct,[status(thm)],[c_0_325]) ).
cnf(c_0_472,plain,
lhs_atom24(X1),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_473,plain,
lhs_atom19(X1),
inference(split_conjunct,[status(thm)],[c_0_327]) ).
cnf(c_0_474,plain,
lhs_atom17(X1),
inference(split_conjunct,[status(thm)],[c_0_328]) ).
cnf(c_0_475,plain,
lhs_atom7(X1),
inference(split_conjunct,[status(thm)],[c_0_329]) ).
cnf(c_0_476,plain,
lhs_atom6(X1),
inference(split_conjunct,[status(thm)],[c_0_330]) ).
cnf(c_0_477,plain,
lhs_atom2(X1),
inference(split_conjunct,[status(thm)],[c_0_331]) ).
cnf(c_0_478,plain,
lhs_atom146,
inference(split_conjunct,[status(thm)],[c_0_332]) ).
cnf(c_0_479,plain,
lhs_atom145,
inference(split_conjunct,[status(thm)],[c_0_333]) ).
cnf(c_0_480,plain,
lhs_atom144,
inference(split_conjunct,[status(thm)],[c_0_334]) ).
cnf(c_0_481,plain,
lhs_atom143,
inference(split_conjunct,[status(thm)],[c_0_335]) ).
cnf(c_0_482,plain,
lhs_atom142,
inference(split_conjunct,[status(thm)],[c_0_336]) ).
cnf(c_0_483,plain,
lhs_atom141,
inference(split_conjunct,[status(thm)],[c_0_337]) ).
cnf(c_0_484,plain,
lhs_atom140,
inference(split_conjunct,[status(thm)],[c_0_338]) ).
cnf(c_0_485,plain,
lhs_atom139,
inference(split_conjunct,[status(thm)],[c_0_339]) ).
cnf(c_0_486,plain,
lhs_atom138,
inference(split_conjunct,[status(thm)],[c_0_340]) ).
cnf(c_0_487,plain,
lhs_atom137,
inference(split_conjunct,[status(thm)],[c_0_341]) ).
cnf(c_0_488,plain,
lhs_atom136,
inference(split_conjunct,[status(thm)],[c_0_342]) ).
cnf(c_0_489,plain,
lhs_atom135,
inference(split_conjunct,[status(thm)],[c_0_343]) ).
cnf(c_0_490,plain,
lhs_atom134,
inference(split_conjunct,[status(thm)],[c_0_344]) ).
cnf(c_0_491,plain,
lhs_atom133,
inference(split_conjunct,[status(thm)],[c_0_345]) ).
cnf(c_0_492,plain,
lhs_atom132,
inference(split_conjunct,[status(thm)],[c_0_346]) ).
cnf(c_0_493,plain,
lhs_atom131,
inference(split_conjunct,[status(thm)],[c_0_347]) ).
cnf(c_0_494,plain,
lhs_atom130,
inference(split_conjunct,[status(thm)],[c_0_348]) ).
cnf(c_0_495,plain,
lhs_atom129,
inference(split_conjunct,[status(thm)],[c_0_349]) ).
cnf(c_0_496,plain,
lhs_atom128,
inference(split_conjunct,[status(thm)],[c_0_350]) ).
cnf(c_0_497,plain,
lhs_atom127,
inference(split_conjunct,[status(thm)],[c_0_351]) ).
cnf(c_0_498,plain,
lhs_atom126,
inference(split_conjunct,[status(thm)],[c_0_352]) ).
cnf(c_0_499,plain,
lhs_atom125,
inference(split_conjunct,[status(thm)],[c_0_353]) ).
cnf(c_0_500,plain,
lhs_atom124,
inference(split_conjunct,[status(thm)],[c_0_354]) ).
cnf(c_0_501,plain,
lhs_atom123,
inference(split_conjunct,[status(thm)],[c_0_355]) ).
cnf(c_0_502,plain,
lhs_atom122,
inference(split_conjunct,[status(thm)],[c_0_356]) ).
cnf(c_0_503,plain,
lhs_atom121,
inference(split_conjunct,[status(thm)],[c_0_357]) ).
cnf(c_0_504,plain,
lhs_atom120,
inference(split_conjunct,[status(thm)],[c_0_358]) ).
cnf(c_0_505,plain,
lhs_atom119,
inference(split_conjunct,[status(thm)],[c_0_359]) ).
cnf(c_0_506,plain,
lhs_atom118,
inference(split_conjunct,[status(thm)],[c_0_360]) ).
cnf(c_0_507,plain,
lhs_atom117,
inference(split_conjunct,[status(thm)],[c_0_361]) ).
cnf(c_0_508,plain,
lhs_atom116,
inference(split_conjunct,[status(thm)],[c_0_362]) ).
cnf(c_0_509,plain,
lhs_atom115,
inference(split_conjunct,[status(thm)],[c_0_363]) ).
cnf(c_0_510,plain,
lhs_atom114,
inference(split_conjunct,[status(thm)],[c_0_364]) ).
cnf(c_0_511,plain,
lhs_atom113,
inference(split_conjunct,[status(thm)],[c_0_365]) ).
cnf(c_0_512,plain,
lhs_atom112,
inference(split_conjunct,[status(thm)],[c_0_366]) ).
cnf(c_0_513,plain,
lhs_atom111,
inference(split_conjunct,[status(thm)],[c_0_367]) ).
cnf(c_0_514,plain,
lhs_atom110,
inference(split_conjunct,[status(thm)],[c_0_368]) ).
cnf(c_0_515,plain,
lhs_atom109,
inference(split_conjunct,[status(thm)],[c_0_369]) ).
cnf(c_0_516,plain,
lhs_atom108,
inference(split_conjunct,[status(thm)],[c_0_370]) ).
cnf(c_0_517,plain,
lhs_atom107,
inference(split_conjunct,[status(thm)],[c_0_371]) ).
cnf(c_0_518,plain,
lhs_atom106,
inference(split_conjunct,[status(thm)],[c_0_372]) ).
cnf(c_0_519,plain,
lhs_atom105,
inference(split_conjunct,[status(thm)],[c_0_373]) ).
cnf(c_0_520,plain,
lhs_atom104,
inference(split_conjunct,[status(thm)],[c_0_374]) ).
cnf(c_0_521,plain,
lhs_atom103,
inference(split_conjunct,[status(thm)],[c_0_375]) ).
cnf(c_0_522,plain,
lhs_atom102,
inference(split_conjunct,[status(thm)],[c_0_376]) ).
cnf(c_0_523,plain,
lhs_atom101,
inference(split_conjunct,[status(thm)],[c_0_377]) ).
cnf(c_0_524,plain,
lhs_atom100,
inference(split_conjunct,[status(thm)],[c_0_378]) ).
cnf(c_0_525,plain,
lhs_atom99,
inference(split_conjunct,[status(thm)],[c_0_379]) ).
cnf(c_0_526,plain,
lhs_atom98,
inference(split_conjunct,[status(thm)],[c_0_380]) ).
cnf(c_0_527,plain,
lhs_atom97,
inference(split_conjunct,[status(thm)],[c_0_381]) ).
cnf(c_0_528,plain,
lhs_atom96,
inference(split_conjunct,[status(thm)],[c_0_382]) ).
cnf(c_0_529,plain,
lhs_atom95,
inference(split_conjunct,[status(thm)],[c_0_383]) ).
cnf(c_0_530,plain,
lhs_atom94,
inference(split_conjunct,[status(thm)],[c_0_384]) ).
cnf(c_0_531,plain,
lhs_atom93,
inference(split_conjunct,[status(thm)],[c_0_385]) ).
cnf(c_0_532,plain,
lhs_atom92,
inference(split_conjunct,[status(thm)],[c_0_386]) ).
cnf(c_0_533,plain,
lhs_atom91,
inference(split_conjunct,[status(thm)],[c_0_387]) ).
cnf(c_0_534,plain,
lhs_atom90,
inference(split_conjunct,[status(thm)],[c_0_388]) ).
cnf(c_0_535,plain,
lhs_atom89,
inference(split_conjunct,[status(thm)],[c_0_389]) ).
cnf(c_0_536,plain,
lhs_atom88,
inference(split_conjunct,[status(thm)],[c_0_390]) ).
cnf(c_0_537,plain,
lhs_atom87,
inference(split_conjunct,[status(thm)],[c_0_391]) ).
cnf(c_0_538,plain,
lhs_atom86,
inference(split_conjunct,[status(thm)],[c_0_392]) ).
cnf(c_0_539,plain,
lhs_atom85,
inference(split_conjunct,[status(thm)],[c_0_393]) ).
cnf(c_0_540,plain,
lhs_atom84,
inference(split_conjunct,[status(thm)],[c_0_394]) ).
cnf(c_0_541,plain,
lhs_atom83,
inference(split_conjunct,[status(thm)],[c_0_395]) ).
cnf(c_0_542,plain,
lhs_atom82,
inference(split_conjunct,[status(thm)],[c_0_396]) ).
cnf(c_0_543,plain,
lhs_atom81,
inference(split_conjunct,[status(thm)],[c_0_397]) ).
cnf(c_0_544,plain,
lhs_atom80,
inference(split_conjunct,[status(thm)],[c_0_398]) ).
cnf(c_0_545,plain,
lhs_atom79,
inference(split_conjunct,[status(thm)],[c_0_399]) ).
cnf(c_0_546,plain,
lhs_atom78,
inference(split_conjunct,[status(thm)],[c_0_400]) ).
cnf(c_0_547,plain,
lhs_atom77,
inference(split_conjunct,[status(thm)],[c_0_401]) ).
cnf(c_0_548,plain,
lhs_atom76,
inference(split_conjunct,[status(thm)],[c_0_402]) ).
cnf(c_0_549,plain,
lhs_atom75,
inference(split_conjunct,[status(thm)],[c_0_403]) ).
cnf(c_0_550,plain,
lhs_atom74,
inference(split_conjunct,[status(thm)],[c_0_404]) ).
cnf(c_0_551,plain,
lhs_atom73,
inference(split_conjunct,[status(thm)],[c_0_405]) ).
cnf(c_0_552,plain,
lhs_atom72,
inference(split_conjunct,[status(thm)],[c_0_406]) ).
cnf(c_0_553,plain,
lhs_atom71,
inference(split_conjunct,[status(thm)],[c_0_407]) ).
cnf(c_0_554,plain,
lhs_atom70,
inference(split_conjunct,[status(thm)],[c_0_408]) ).
cnf(c_0_555,plain,
lhs_atom69,
inference(split_conjunct,[status(thm)],[c_0_409]) ).
cnf(c_0_556,plain,
lhs_atom68,
inference(split_conjunct,[status(thm)],[c_0_410]) ).
cnf(c_0_557,plain,
lhs_atom67,
inference(split_conjunct,[status(thm)],[c_0_411]) ).
cnf(c_0_558,plain,
lhs_atom66,
inference(split_conjunct,[status(thm)],[c_0_412]) ).
cnf(c_0_559,plain,
lhs_atom65,
inference(split_conjunct,[status(thm)],[c_0_413]) ).
cnf(c_0_560,plain,
lhs_atom64,
inference(split_conjunct,[status(thm)],[c_0_414]) ).
cnf(c_0_561,plain,
lhs_atom63,
inference(split_conjunct,[status(thm)],[c_0_415]) ).
cnf(c_0_562,plain,
lhs_atom62,
inference(split_conjunct,[status(thm)],[c_0_416]) ).
cnf(c_0_563,plain,
lhs_atom61,
inference(split_conjunct,[status(thm)],[c_0_417]) ).
cnf(c_0_564,plain,
lhs_atom60,
inference(split_conjunct,[status(thm)],[c_0_418]) ).
cnf(c_0_565,plain,
lhs_atom59,
inference(split_conjunct,[status(thm)],[c_0_419]) ).
cnf(c_0_566,plain,
lhs_atom58,
inference(split_conjunct,[status(thm)],[c_0_420]) ).
cnf(c_0_567,plain,
lhs_atom57,
inference(split_conjunct,[status(thm)],[c_0_421]) ).
cnf(c_0_568,plain,
lhs_atom56,
inference(split_conjunct,[status(thm)],[c_0_422]) ).
cnf(c_0_569,plain,
lhs_atom55,
inference(split_conjunct,[status(thm)],[c_0_423]) ).
cnf(c_0_570,plain,
lhs_atom54,
inference(split_conjunct,[status(thm)],[c_0_424]) ).
cnf(c_0_571,plain,
lhs_atom53,
inference(split_conjunct,[status(thm)],[c_0_425]) ).
cnf(c_0_572,plain,
lhs_atom52,
inference(split_conjunct,[status(thm)],[c_0_426]) ).
cnf(c_0_573,plain,
lhs_atom51,
inference(split_conjunct,[status(thm)],[c_0_427]) ).
cnf(c_0_574,plain,
lhs_atom50,
inference(split_conjunct,[status(thm)],[c_0_428]) ).
cnf(c_0_575,plain,
lhs_atom44,
inference(split_conjunct,[status(thm)],[c_0_429]) ).
cnf(c_0_576,plain,
lhs_atom42,
inference(split_conjunct,[status(thm)],[c_0_430]) ).
cnf(c_0_577,plain,
lhs_atom36,
inference(split_conjunct,[status(thm)],[c_0_431]) ).
cnf(c_0_578,plain,
lhs_atom31,
inference(split_conjunct,[status(thm)],[c_0_432]) ).
cnf(c_0_579,plain,
lhs_atom27,
inference(split_conjunct,[status(thm)],[c_0_433]) ).
cnf(c_0_580,plain,
lhs_atom18,
inference(split_conjunct,[status(thm)],[c_0_434]) ).
cnf(c_0_581,plain,
lhs_atom15,
inference(split_conjunct,[status(thm)],[c_0_435]) ).
cnf(c_0_582,plain,
lhs_atom13,
inference(split_conjunct,[status(thm)],[c_0_436]) ).
cnf(c_0_583,plain,
lhs_atom1,
inference(split_conjunct,[status(thm)],[c_0_437]) ).
cnf(c_0_584,plain,
lhs_atom3(X1,X2,X3,X4),
c_0_438,
[final] ).
cnf(c_0_585,plain,
lhs_atom11(X1,X2,X3),
c_0_439,
[final] ).
cnf(c_0_586,plain,
lhs_atom10(X1,X2,X3),
c_0_440,
[final] ).
cnf(c_0_587,plain,
lhs_atom41(X1,X2),
c_0_441,
[final] ).
cnf(c_0_588,plain,
lhs_atom38(X1,X2),
c_0_442,
[final] ).
cnf(c_0_589,plain,
lhs_atom35(X1,X2),
c_0_443,
[final] ).
cnf(c_0_590,plain,
lhs_atom29(X1,X2),
c_0_444,
[final] ).
cnf(c_0_591,plain,
lhs_atom25(X1,X2),
c_0_445,
[final] ).
cnf(c_0_592,plain,
lhs_atom23(X1,X2),
c_0_446,
[final] ).
cnf(c_0_593,plain,
lhs_atom22(X1,X2),
c_0_447,
[final] ).
cnf(c_0_594,plain,
lhs_atom21(X1,X2),
c_0_448,
[final] ).
cnf(c_0_595,plain,
lhs_atom20(X1,X2),
c_0_449,
[final] ).
cnf(c_0_596,plain,
lhs_atom16(X1,X2),
c_0_450,
[final] ).
cnf(c_0_597,plain,
lhs_atom14(X1,X2),
c_0_451,
[final] ).
cnf(c_0_598,plain,
lhs_atom12(X1,X2),
c_0_452,
[final] ).
cnf(c_0_599,plain,
lhs_atom9(X1,X2),
c_0_453,
[final] ).
cnf(c_0_600,plain,
lhs_atom8(X1,X2),
c_0_454,
[final] ).
cnf(c_0_601,plain,
lhs_atom5(X1,X2),
c_0_455,
[final] ).
cnf(c_0_602,plain,
lhs_atom4(X1,X2),
c_0_456,
[final] ).
cnf(c_0_603,plain,
lhs_atom49(X1),
c_0_457,
[final] ).
cnf(c_0_604,plain,
lhs_atom48(X1),
c_0_458,
[final] ).
cnf(c_0_605,plain,
lhs_atom47(X1),
c_0_459,
[final] ).
cnf(c_0_606,plain,
lhs_atom46(X1),
c_0_460,
[final] ).
cnf(c_0_607,plain,
lhs_atom45(X1),
c_0_461,
[final] ).
cnf(c_0_608,plain,
lhs_atom43(X1),
c_0_462,
[final] ).
cnf(c_0_609,plain,
lhs_atom40(X1),
c_0_463,
[final] ).
cnf(c_0_610,plain,
lhs_atom39(X1),
c_0_464,
[final] ).
cnf(c_0_611,plain,
lhs_atom37(X1),
c_0_465,
[final] ).
cnf(c_0_612,plain,
lhs_atom34(X1),
c_0_466,
[final] ).
cnf(c_0_613,plain,
lhs_atom33(X1),
c_0_467,
[final] ).
cnf(c_0_614,plain,
lhs_atom32(X1),
c_0_468,
[final] ).
cnf(c_0_615,plain,
lhs_atom30(X1),
c_0_469,
[final] ).
cnf(c_0_616,plain,
lhs_atom28(X1),
c_0_470,
[final] ).
cnf(c_0_617,plain,
lhs_atom26(X1),
c_0_471,
[final] ).
cnf(c_0_618,plain,
lhs_atom24(X1),
c_0_472,
[final] ).
cnf(c_0_619,plain,
lhs_atom19(X1),
c_0_473,
[final] ).
cnf(c_0_620,plain,
lhs_atom17(X1),
c_0_474,
[final] ).
cnf(c_0_621,plain,
lhs_atom7(X1),
c_0_475,
[final] ).
cnf(c_0_622,plain,
lhs_atom6(X1),
c_0_476,
[final] ).
cnf(c_0_623,plain,
lhs_atom2(X1),
c_0_477,
[final] ).
cnf(c_0_624,plain,
lhs_atom146,
c_0_478,
[final] ).
cnf(c_0_625,plain,
lhs_atom145,
c_0_479,
[final] ).
cnf(c_0_626,plain,
lhs_atom144,
c_0_480,
[final] ).
cnf(c_0_627,plain,
lhs_atom143,
c_0_481,
[final] ).
cnf(c_0_628,plain,
lhs_atom142,
c_0_482,
[final] ).
cnf(c_0_629,plain,
lhs_atom141,
c_0_483,
[final] ).
cnf(c_0_630,plain,
lhs_atom140,
c_0_484,
[final] ).
cnf(c_0_631,plain,
lhs_atom139,
c_0_485,
[final] ).
cnf(c_0_632,plain,
lhs_atom138,
c_0_486,
[final] ).
cnf(c_0_633,plain,
lhs_atom137,
c_0_487,
[final] ).
cnf(c_0_634,plain,
lhs_atom136,
c_0_488,
[final] ).
cnf(c_0_635,plain,
lhs_atom135,
c_0_489,
[final] ).
cnf(c_0_636,plain,
lhs_atom134,
c_0_490,
[final] ).
cnf(c_0_637,plain,
lhs_atom133,
c_0_491,
[final] ).
cnf(c_0_638,plain,
lhs_atom132,
c_0_492,
[final] ).
cnf(c_0_639,plain,
lhs_atom131,
c_0_493,
[final] ).
cnf(c_0_640,plain,
lhs_atom130,
c_0_494,
[final] ).
cnf(c_0_641,plain,
lhs_atom129,
c_0_495,
[final] ).
cnf(c_0_642,plain,
lhs_atom128,
c_0_496,
[final] ).
cnf(c_0_643,plain,
lhs_atom127,
c_0_497,
[final] ).
cnf(c_0_644,plain,
lhs_atom126,
c_0_498,
[final] ).
cnf(c_0_645,plain,
lhs_atom125,
c_0_499,
[final] ).
cnf(c_0_646,plain,
lhs_atom124,
c_0_500,
[final] ).
cnf(c_0_647,plain,
lhs_atom123,
c_0_501,
[final] ).
cnf(c_0_648,plain,
lhs_atom122,
c_0_502,
[final] ).
cnf(c_0_649,plain,
lhs_atom121,
c_0_503,
[final] ).
cnf(c_0_650,plain,
lhs_atom120,
c_0_504,
[final] ).
cnf(c_0_651,plain,
lhs_atom119,
c_0_505,
[final] ).
cnf(c_0_652,plain,
lhs_atom118,
c_0_506,
[final] ).
cnf(c_0_653,plain,
lhs_atom117,
c_0_507,
[final] ).
cnf(c_0_654,plain,
lhs_atom116,
c_0_508,
[final] ).
cnf(c_0_655,plain,
lhs_atom115,
c_0_509,
[final] ).
cnf(c_0_656,plain,
lhs_atom114,
c_0_510,
[final] ).
cnf(c_0_657,plain,
lhs_atom113,
c_0_511,
[final] ).
cnf(c_0_658,plain,
lhs_atom112,
c_0_512,
[final] ).
cnf(c_0_659,plain,
lhs_atom111,
c_0_513,
[final] ).
cnf(c_0_660,plain,
lhs_atom110,
c_0_514,
[final] ).
cnf(c_0_661,plain,
lhs_atom109,
c_0_515,
[final] ).
cnf(c_0_662,plain,
lhs_atom108,
c_0_516,
[final] ).
cnf(c_0_663,plain,
lhs_atom107,
c_0_517,
[final] ).
cnf(c_0_664,plain,
lhs_atom106,
c_0_518,
[final] ).
cnf(c_0_665,plain,
lhs_atom105,
c_0_519,
[final] ).
cnf(c_0_666,plain,
lhs_atom104,
c_0_520,
[final] ).
cnf(c_0_667,plain,
lhs_atom103,
c_0_521,
[final] ).
cnf(c_0_668,plain,
lhs_atom102,
c_0_522,
[final] ).
cnf(c_0_669,plain,
lhs_atom101,
c_0_523,
[final] ).
cnf(c_0_670,plain,
lhs_atom100,
c_0_524,
[final] ).
cnf(c_0_671,plain,
lhs_atom99,
c_0_525,
[final] ).
cnf(c_0_672,plain,
lhs_atom98,
c_0_526,
[final] ).
cnf(c_0_673,plain,
lhs_atom97,
c_0_527,
[final] ).
cnf(c_0_674,plain,
lhs_atom96,
c_0_528,
[final] ).
cnf(c_0_675,plain,
lhs_atom95,
c_0_529,
[final] ).
cnf(c_0_676,plain,
lhs_atom94,
c_0_530,
[final] ).
cnf(c_0_677,plain,
lhs_atom93,
c_0_531,
[final] ).
cnf(c_0_678,plain,
lhs_atom92,
c_0_532,
[final] ).
cnf(c_0_679,plain,
lhs_atom91,
c_0_533,
[final] ).
cnf(c_0_680,plain,
lhs_atom90,
c_0_534,
[final] ).
cnf(c_0_681,plain,
lhs_atom89,
c_0_535,
[final] ).
cnf(c_0_682,plain,
lhs_atom88,
c_0_536,
[final] ).
cnf(c_0_683,plain,
lhs_atom87,
c_0_537,
[final] ).
cnf(c_0_684,plain,
lhs_atom86,
c_0_538,
[final] ).
cnf(c_0_685,plain,
lhs_atom85,
c_0_539,
[final] ).
cnf(c_0_686,plain,
lhs_atom84,
c_0_540,
[final] ).
cnf(c_0_687,plain,
lhs_atom83,
c_0_541,
[final] ).
cnf(c_0_688,plain,
lhs_atom82,
c_0_542,
[final] ).
cnf(c_0_689,plain,
lhs_atom81,
c_0_543,
[final] ).
cnf(c_0_690,plain,
lhs_atom80,
c_0_544,
[final] ).
cnf(c_0_691,plain,
lhs_atom79,
c_0_545,
[final] ).
cnf(c_0_692,plain,
lhs_atom78,
c_0_546,
[final] ).
cnf(c_0_693,plain,
lhs_atom77,
c_0_547,
[final] ).
cnf(c_0_694,plain,
lhs_atom76,
c_0_548,
[final] ).
cnf(c_0_695,plain,
lhs_atom75,
c_0_549,
[final] ).
cnf(c_0_696,plain,
lhs_atom74,
c_0_550,
[final] ).
cnf(c_0_697,plain,
lhs_atom73,
c_0_551,
[final] ).
cnf(c_0_698,plain,
lhs_atom72,
c_0_552,
[final] ).
cnf(c_0_699,plain,
lhs_atom71,
c_0_553,
[final] ).
cnf(c_0_700,plain,
lhs_atom70,
c_0_554,
[final] ).
cnf(c_0_701,plain,
lhs_atom69,
c_0_555,
[final] ).
cnf(c_0_702,plain,
lhs_atom68,
c_0_556,
[final] ).
cnf(c_0_703,plain,
lhs_atom67,
c_0_557,
[final] ).
cnf(c_0_704,plain,
lhs_atom66,
c_0_558,
[final] ).
cnf(c_0_705,plain,
lhs_atom65,
c_0_559,
[final] ).
cnf(c_0_706,plain,
lhs_atom64,
c_0_560,
[final] ).
cnf(c_0_707,plain,
lhs_atom63,
c_0_561,
[final] ).
cnf(c_0_708,plain,
lhs_atom62,
c_0_562,
[final] ).
cnf(c_0_709,plain,
lhs_atom61,
c_0_563,
[final] ).
cnf(c_0_710,plain,
lhs_atom60,
c_0_564,
[final] ).
cnf(c_0_711,plain,
lhs_atom59,
c_0_565,
[final] ).
cnf(c_0_712,plain,
lhs_atom58,
c_0_566,
[final] ).
cnf(c_0_713,plain,
lhs_atom57,
c_0_567,
[final] ).
cnf(c_0_714,plain,
lhs_atom56,
c_0_568,
[final] ).
cnf(c_0_715,plain,
lhs_atom55,
c_0_569,
[final] ).
cnf(c_0_716,plain,
lhs_atom54,
c_0_570,
[final] ).
cnf(c_0_717,plain,
lhs_atom53,
c_0_571,
[final] ).
cnf(c_0_718,plain,
lhs_atom52,
c_0_572,
[final] ).
cnf(c_0_719,plain,
lhs_atom51,
c_0_573,
[final] ).
cnf(c_0_720,plain,
lhs_atom50,
c_0_574,
[final] ).
cnf(c_0_721,plain,
lhs_atom44,
c_0_575,
[final] ).
cnf(c_0_722,plain,
lhs_atom42,
c_0_576,
[final] ).
cnf(c_0_723,plain,
lhs_atom36,
c_0_577,
[final] ).
cnf(c_0_724,plain,
lhs_atom31,
c_0_578,
[final] ).
cnf(c_0_725,plain,
lhs_atom27,
c_0_579,
[final] ).
cnf(c_0_726,plain,
lhs_atom18,
c_0_580,
[final] ).
cnf(c_0_727,plain,
lhs_atom15,
c_0_581,
[final] ).
cnf(c_0_728,plain,
lhs_atom13,
c_0_582,
[final] ).
cnf(c_0_729,plain,
lhs_atom1,
c_0_583,
[final] ).
% End CNF derivation
cnf(c_0_584_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_584,def_lhs_atom3]) ).
cnf(c_0_585_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_585,def_lhs_atom11]) ).
cnf(c_0_586_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_586,def_lhs_atom10]) ).
cnf(c_0_587_0,axiom,
c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X1,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_587,def_lhs_atom41]) ).
cnf(c_0_588_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_588,def_lhs_atom38]) ).
cnf(c_0_589_0,axiom,
c_Complex_ORe(c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_ORe(X2),c_Complex_ORe(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_589,def_lhs_atom35]) ).
cnf(c_0_590_0,axiom,
c_Fun_Oid(X1,X2) = X1,
inference(unfold_definition,[status(thm)],[c_0_590,def_lhs_atom29]) ).
cnf(c_0_591_0,axiom,
c_NthRoot_Osqrt(c_Power_Opower__class_Opower(X1,X2,tc_RealDef_Oreal)) = c_Power_Opower__class_Opower(c_NthRoot_Osqrt(X1),X2,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_591,def_lhs_atom25]) ).
cnf(c_0_592_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X2,X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_592,def_lhs_atom23]) ).
cnf(c_0_593_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_593,def_lhs_atom22]) ).
cnf(c_0_594_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_594,def_lhs_atom21]) ).
cnf(c_0_595_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_595,def_lhs_atom20]) ).
cnf(c_0_596_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_596,def_lhs_atom16]) ).
cnf(c_0_597_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_597,def_lhs_atom14]) ).
cnf(c_0_598_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_598,def_lhs_atom12]) ).
cnf(c_0_599_0,axiom,
c_Complex_OIm(c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_OIm(X2),c_Complex_OIm(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_599,def_lhs_atom9]) ).
cnf(c_0_600_0,axiom,
c_Complex_Ocnj(c_HOL_Oplus__class_Oplus(X2,X1,tc_Complex_Ocomplex)) = c_HOL_Oplus__class_Oplus(c_Complex_Ocnj(X2),c_Complex_Ocnj(X1),tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_600,def_lhs_atom8]) ).
cnf(c_0_601_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_601,def_lhs_atom5]) ).
cnf(c_0_602_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_602,def_lhs_atom4]) ).
cnf(c_0_603_0,axiom,
c_lessequals(X1,X1,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_603,def_lhs_atom49]) ).
cnf(c_0_604_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__Xhyps__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_604,def_lhs_atom48]) ).
cnf(c_0_605_0,axiom,
c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,v_sko__local__XpCons__1(v_cs____),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(v_cs____,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_605,def_lhs_atom47]) ).
cnf(c_0_606_0,axiom,
c_lessequals(c_Complex_ORe(X1),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_606,def_lhs_atom46]) ).
cnf(c_0_607_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_607,def_lhs_atom45]) ).
cnf(c_0_608_0,axiom,
c_RealVector_Onorm__class_Onorm(c_Complex_Ocnj(X1),tc_Complex_Ocomplex) = c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_608,def_lhs_atom43]) ).
cnf(c_0_609_0,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_ORe(X1),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_609,def_lhs_atom40]) ).
cnf(c_0_610_0,axiom,
c_lessequals(c_HOL_Oabs__class_Oabs(c_Complex_OIm(X1),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_610,def_lhs_atom39]) ).
cnf(c_0_611_0,axiom,
c_Complex_OIm(c_Complex_Ocnj(X1)) = c_HOL_Ouminus__class_Ouminus(c_Complex_OIm(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_611,def_lhs_atom37]) ).
cnf(c_0_612_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_612,def_lhs_atom34]) ).
cnf(c_0_613_0,axiom,
c_Complex_ORe(c_Complex_Ocnj(X1)) = c_Complex_ORe(X1),
inference(unfold_definition,[status(thm)],[c_0_613,def_lhs_atom33]) ).
cnf(c_0_614_0,axiom,
~ c_HOL_Oord__class_Oless(X1,X1,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_614,def_lhs_atom32]) ).
cnf(c_0_615_0,axiom,
c_HOL_Oabs__class_Oabs(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) = c_Transcendental_Oexp(X1,tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_615,def_lhs_atom30]) ).
cnf(c_0_616_0,axiom,
c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_616,def_lhs_atom28]) ).
cnf(c_0_617_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_617,def_lhs_atom26]) ).
cnf(c_0_618_0,axiom,
c_Complex_Ocnj(c_Complex_Ocnj(X1)) = X1,
inference(unfold_definition,[status(thm)],[c_0_618,def_lhs_atom24]) ).
cnf(c_0_619_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_619,def_lhs_atom19]) ).
cnf(c_0_620_0,axiom,
~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_620,def_lhs_atom17]) ).
cnf(c_0_621_0,axiom,
c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_Transcendental_Oexp(X1,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_621,def_lhs_atom7]) ).
cnf(c_0_622_0,axiom,
c_Transcendental_Oarctan(c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal)) = c_HOL_Ouminus__class_Ouminus(c_Transcendental_Oarctan(X1),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_622,def_lhs_atom6]) ).
cnf(c_0_623_0,axiom,
~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_623,def_lhs_atom2]) ).
cnf(c_0_624_0,axiom,
class_HOL_Oeq(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_624,def_lhs_atom146]) ).
cnf(c_0_625_0,axiom,
class_HOL_Ozero(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_625,def_lhs_atom145]) ).
cnf(c_0_626_0,axiom,
class_SEQ_Obanach(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_626,def_lhs_atom144]) ).
cnf(c_0_627_0,axiom,
class_Power_Opower(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_627,def_lhs_atom143]) ).
cnf(c_0_628_0,axiom,
class_Int_Onumber__ring(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_628,def_lhs_atom142]) ).
cnf(c_0_629_0,axiom,
class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_629,def_lhs_atom141]) ).
cnf(c_0_630_0,axiom,
class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_630,def_lhs_atom140]) ).
cnf(c_0_631_0,axiom,
class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_631,def_lhs_atom139]) ).
cnf(c_0_632_0,axiom,
class_OrderedGroup_Omonoid__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_632,def_lhs_atom138]) ).
cnf(c_0_633_0,axiom,
class_Ring__and__Field_Osemiring(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_633,def_lhs_atom137]) ).
cnf(c_0_634_0,axiom,
class_OrderedGroup_Omonoid__mult(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_634,def_lhs_atom136]) ).
cnf(c_0_635_0,axiom,
class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_635,def_lhs_atom135]) ).
cnf(c_0_636_0,axiom,
class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_636,def_lhs_atom134]) ).
cnf(c_0_637_0,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_637,def_lhs_atom133]) ).
cnf(c_0_638_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_638,def_lhs_atom132]) ).
cnf(c_0_639_0,axiom,
class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_639,def_lhs_atom131]) ).
cnf(c_0_640_0,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_640,def_lhs_atom130]) ).
cnf(c_0_641_0,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_641,def_lhs_atom129]) ).
cnf(c_0_642_0,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_642,def_lhs_atom128]) ).
cnf(c_0_643_0,axiom,
class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_643,def_lhs_atom127]) ).
cnf(c_0_644_0,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_644,def_lhs_atom126]) ).
cnf(c_0_645_0,axiom,
class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_645,def_lhs_atom125]) ).
cnf(c_0_646_0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_646,def_lhs_atom124]) ).
cnf(c_0_647_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_647,def_lhs_atom123]) ).
cnf(c_0_648_0,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_648,def_lhs_atom122]) ).
cnf(c_0_649_0,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_649,def_lhs_atom121]) ).
cnf(c_0_650_0,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_650,def_lhs_atom120]) ).
cnf(c_0_651_0,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_651,def_lhs_atom119]) ).
cnf(c_0_652_0,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_652,def_lhs_atom118]) ).
cnf(c_0_653_0,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_653,def_lhs_atom117]) ).
cnf(c_0_654_0,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_654,def_lhs_atom116]) ).
cnf(c_0_655_0,axiom,
class_HOL_Oeq(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_655,def_lhs_atom115]) ).
cnf(c_0_656_0,axiom,
class_HOL_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_656,def_lhs_atom114]) ).
cnf(c_0_657_0,axiom,
class_SEQ_Obanach(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_657,def_lhs_atom113]) ).
cnf(c_0_658_0,axiom,
class_Power_Opower(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_658,def_lhs_atom112]) ).
cnf(c_0_659_0,axiom,
class_Int_Onumber__ring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_659,def_lhs_atom111]) ).
cnf(c_0_660_0,axiom,
class_Orderings_Oorder(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_660,def_lhs_atom110]) ).
cnf(c_0_661_0,axiom,
class_Lattices_Olattice(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_661,def_lhs_atom109]) ).
cnf(c_0_662_0,axiom,
class_Orderings_Olinorder(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_662,def_lhs_atom108]) ).
cnf(c_0_663_0,axiom,
class_Orderings_Opreorder(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_663,def_lhs_atom107]) ).
cnf(c_0_664_0,axiom,
class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_664,def_lhs_atom106]) ).
cnf(c_0_665_0,axiom,
class_Ring__and__Field_Oring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_665,def_lhs_atom105]) ).
cnf(c_0_666_0,axiom,
class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_666,def_lhs_atom104]) ).
cnf(c_0_667_0,axiom,
class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_667,def_lhs_atom103]) ).
cnf(c_0_668_0,axiom,
class_OrderedGroup_Omonoid__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_668,def_lhs_atom102]) ).
cnf(c_0_669_0,axiom,
class_Ring__and__Field_Osemiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_669,def_lhs_atom101]) ).
cnf(c_0_670_0,axiom,
class_OrderedGroup_Omonoid__mult(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_670,def_lhs_atom100]) ).
cnf(c_0_671_0,axiom,
class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_671,def_lhs_atom99]) ).
cnf(c_0_672_0,axiom,
class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_672,def_lhs_atom98]) ).
cnf(c_0_673_0,axiom,
class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_673,def_lhs_atom97]) ).
cnf(c_0_674_0,axiom,
class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_674,def_lhs_atom96]) ).
cnf(c_0_675_0,axiom,
class_Lattices_Olower__semilattice(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_675,def_lhs_atom95]) ).
cnf(c_0_676_0,axiom,
class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_676,def_lhs_atom94]) ).
cnf(c_0_677_0,axiom,
class_Ring__and__Field_Ozero__neq__one(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_677,def_lhs_atom93]) ).
cnf(c_0_678_0,axiom,
class_OrderedGroup_Ocomm__monoid__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_678,def_lhs_atom92]) ).
cnf(c_0_679_0,axiom,
class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_679,def_lhs_atom91]) ).
cnf(c_0_680_0,axiom,
class_Ring__and__Field_Ocomm__semiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_680,def_lhs_atom90]) ).
cnf(c_0_681_0,axiom,
class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_681,def_lhs_atom89]) ).
cnf(c_0_682_0,axiom,
class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_682,def_lhs_atom88]) ).
cnf(c_0_683_0,axiom,
class_OrderedGroup_Oab__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_683,def_lhs_atom87]) ).
cnf(c_0_684_0,axiom,
class_OrderedGroup_Ocomm__monoid__mult(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_684,def_lhs_atom86]) ).
cnf(c_0_685_0,axiom,
class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_685,def_lhs_atom85]) ).
cnf(c_0_686_0,axiom,
class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_686,def_lhs_atom84]) ).
cnf(c_0_687_0,axiom,
class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_687,def_lhs_atom83]) ).
cnf(c_0_688_0,axiom,
class_Ring__and__Field_Ocomm__semiring__0(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_688,def_lhs_atom82]) ).
cnf(c_0_689_0,axiom,
class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_689,def_lhs_atom81]) ).
cnf(c_0_690_0,axiom,
class_Ring__and__Field_Oordered__semidom(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_690,def_lhs_atom80]) ).
cnf(c_0_691_0,axiom,
class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_691,def_lhs_atom79]) ).
cnf(c_0_692_0,axiom,
class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_692,def_lhs_atom78]) ).
cnf(c_0_693_0,axiom,
class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_693,def_lhs_atom77]) ).
cnf(c_0_694_0,axiom,
class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_694,def_lhs_atom76]) ).
cnf(c_0_695_0,axiom,
class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_695,def_lhs_atom75]) ).
cnf(c_0_696_0,axiom,
class_OrderedGroup_Ocancel__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_696,def_lhs_atom74]) ).
cnf(c_0_697_0,axiom,
class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_697,def_lhs_atom73]) ).
cnf(c_0_698_0,axiom,
class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_698,def_lhs_atom72]) ).
cnf(c_0_699_0,axiom,
class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_699,def_lhs_atom71]) ).
cnf(c_0_700_0,axiom,
class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_700,def_lhs_atom70]) ).
cnf(c_0_701_0,axiom,
class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_701,def_lhs_atom69]) ).
cnf(c_0_702_0,axiom,
class_OrderedGroup_Ocancel__ab__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_702,def_lhs_atom68]) ).
cnf(c_0_703_0,axiom,
class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_703,def_lhs_atom67]) ).
cnf(c_0_704_0,axiom,
class_OrderedGroup_Opordered__comm__monoid__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_704,def_lhs_atom66]) ).
cnf(c_0_705_0,axiom,
class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_705,def_lhs_atom65]) ).
cnf(c_0_706_0,axiom,
class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_706,def_lhs_atom64]) ).
cnf(c_0_707_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_707,def_lhs_atom63]) ).
cnf(c_0_708_0,axiom,
class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_708,def_lhs_atom62]) ).
cnf(c_0_709_0,axiom,
class_Ring__and__Field_Oring__1__no__zero__divisors(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_709,def_lhs_atom61]) ).
cnf(c_0_710_0,axiom,
class_OrderedGroup_Olordered__ab__group__add__meet(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_710,def_lhs_atom60]) ).
cnf(c_0_711_0,axiom,
class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_711,def_lhs_atom59]) ).
cnf(c_0_712_0,axiom,
class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_712,def_lhs_atom58]) ).
cnf(c_0_713_0,axiom,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_713,def_lhs_atom57]) ).
cnf(c_0_714_0,axiom,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_714,def_lhs_atom56]) ).
cnf(c_0_715_0,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_715,def_lhs_atom55]) ).
cnf(c_0_716_0,axiom,
class_Ring__and__Field_Ocomm__ring(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_716,def_lhs_atom54]) ).
cnf(c_0_717_0,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_717,def_lhs_atom53]) ).
cnf(c_0_718_0,axiom,
class_Ring__and__Field_Ocomm__ring__1(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_718,def_lhs_atom52]) ).
cnf(c_0_719_0,axiom,
class_Ring__and__Field_Ocomm__ring(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_719,def_lhs_atom51]) ).
cnf(c_0_720_0,axiom,
class_OrderedGroup_Ocancel__comm__monoid__add(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_720,def_lhs_atom50]) ).
cnf(c_0_721_0,axiom,
v_cs____ != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),
inference(unfold_definition,[status(thm)],[c_0_721,def_lhs_atom44]) ).
cnf(c_0_722_0,axiom,
c_Fun_Oid(v_x,t_a) = v_x,
inference(unfold_definition,[status(thm)],[c_0_722,def_lhs_atom42]) ).
cnf(c_0_723_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_723,def_lhs_atom36]) ).
cnf(c_0_724_0,axiom,
c_Complex_OIm(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_724,def_lhs_atom31]) ).
cnf(c_0_725_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_725,def_lhs_atom27]) ).
cnf(c_0_726_0,axiom,
c_Complex_ORe(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_726,def_lhs_atom18]) ).
cnf(c_0_727_0,axiom,
c_Complex_Ocnj(c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
inference(unfold_definition,[status(thm)],[c_0_727,def_lhs_atom15]) ).
cnf(c_0_728_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_728,def_lhs_atom13]) ).
cnf(c_0_729_0,axiom,
c_Transcendental_Oarctan(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
inference(unfold_definition,[status(thm)],[c_0_729,def_lhs_atom1]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X4,X5,X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X10,X6),c_HOL_Ominus__class_Ominus(X4,X9,X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X10,X6),X9,X6),X6),c_HOL_Otimes__class_Otimes(X10,c_HOL_Ominus__class_Ominus(X4,X9,X6),X6),X6) ),
file('<stdin>',cls_mult_Oprod__diff__prod_0) ).
fof(c_0_1_002,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X16,X15,X6),X6),X6),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X16,X6),X6),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X9,X15,X6),X6),X6),X6) ),
file('<stdin>',cls_abs__diff__triangle__ineq_0) ).
fof(c_0_2_003,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X16,X15,X6),X6),X6),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X16,X6),X6),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X9,X15,X6),X6),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__diff__triangle__ineq_0) ).
fof(c_0_3_004,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6)
| ~ c_lessequals(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6) ),
file('<stdin>',cls_le__add__iff2_1) ).
fof(c_0_4_005,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X15,X6) ),
file('<stdin>',cls_le__add__iff1_1) ).
fof(c_0_5_006,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X15,X6) ),
file('<stdin>',cls_less__add__iff1_1) ).
fof(c_0_6_007,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6) ),
file('<stdin>',cls_less__add__iff2_1) ).
fof(c_0_7_008,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6) ),
file('<stdin>',cls_le__add__iff2_0) ).
fof(c_0_8_009,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X15,X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6) ),
file('<stdin>',cls_le__add__iff1_0) ).
fof(c_0_9_010,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X15,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6) ),
file('<stdin>',cls_less__add__iff1_0) ).
fof(c_0_10_011,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6) ),
file('<stdin>',cls_less__add__iff2_0) ).
fof(c_0_11_012,axiom,
! [X3] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_v_0) ).
fof(c_0_12_013,axiom,
! [X3] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_CHAINED_0_01) ).
fof(c_0_13_014,axiom,
! [X2] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('<stdin>',cls_r_0) ).
fof(c_0_14_015,axiom,
! [X2] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('<stdin>',cls_v0_0) ).
fof(c_0_15_016,axiom,
! [X2] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('<stdin>',cls_CHAINED_0_02) ).
fof(c_0_16_017,axiom,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),X6),X6) ),
file('<stdin>',cls_sum__squares__gt__zero__iff_0) ).
fof(c_0_17_018,axiom,
! [X20,X15,X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6) ),
file('<stdin>',cls_eq__add__iff2_1) ).
fof(c_0_18_019,axiom,
! [X20,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X6) ),
file('<stdin>',cls_eq__add__iff1_1) ).
fof(c_0_19_020,axiom,
! [X2,X8,X15,X10] :
( c_lessequals(X15,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X10,X8,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X10,X15,X8),c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
file('<stdin>',cls_poly__infinity_0) ).
fof(c_0_20_021,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| X4 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_sum__squares__le__zero__iff_1) ).
fof(c_0_21_022,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_sum__squares__le__zero__iff_0) ).
fof(c_0_22_023,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_not__sum__squares__lt__zero_0) ).
fof(c_0_23_024,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X5,X4,X6),c_Orderings_Oord__class_Omin(X5,X2,X6),X6),c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omax(X4,X2,X6),X6),X6) ),
file('<stdin>',cls_min__max_Odistrib__inf__le_0) ).
fof(c_0_24_025,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X5,X4,X6),c_Orderings_Oord__class_Omax(X5,X2,X6),X6),X6) ),
file('<stdin>',cls_min__max_Odistrib__sup__le_0) ).
fof(c_0_25_026,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6) = X15 ),
file('<stdin>',cls_eq__add__iff1_0) ).
fof(c_0_26_027,axiom,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6)
| X16 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6) ),
file('<stdin>',cls_eq__add__iff2_0) ).
fof(c_0_27_028,axiom,
! [X20,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Osemiring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X16,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X9,X6),X20,X6),X16,X6) ),
file('<stdin>',cls_combine__common__factor_0) ).
fof(c_0_28_029,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X15,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| X16 = X15
| X10 = X9 ),
file('<stdin>',cls_class__ringb_Onoteq__reduce_0) ).
fof(c_0_29_030,axiom,
! [X2,X4,X5,X3,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X6),c_HOL_Otimes__class_Otimes(X5,X2,X6),X6) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
| X4 = X2
| X3 = X5 ),
file('<stdin>',cls_class__ringb_Oadd__mul__solve_0) ).
fof(c_0_30_031,axiom,
! [X5,X14,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X10,X6),X6),X14,X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X10,X14,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X10,X14,X6),X5,X6) ),
file('<stdin>',cls_abs__diff__less__iff_2) ).
fof(c_0_31_032,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),X6) ),
file('<stdin>',cls_abs__triangle__ineq3_0) ).
fof(c_0_32_033,axiom,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X10,X6),c_RealVector_Onorm__class_Onorm(X9,X6),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__triangle__ineq3_0) ).
fof(c_0_33_034,axiom,
! [X3,X14,X8] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X8,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(X8,X14),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X8,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),X14,tc_RealDef_Oreal) ),
file('<stdin>',cls_poly__minimum__modulus__disc_0) ).
fof(c_0_34_035,axiom,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_sum__squares__le__zero__iff_2) ).
fof(c_0_35_036,axiom,
! [X8,X16,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_HOL_Oplus__class_Oplus(X8,c_Polynomial_Osmult(X16,c_Polynomial_Osynthetic__div(X8,X16,X6),X6),tc_Polynomial_Opoly(X6)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X8,X16,X6),c_Polynomial_Osynthetic__div(X8,X16,X6),X6) ),
file('<stdin>',cls_synthetic__div__correct_0) ).
fof(c_0_36_037,axiom,
! [X4,X5,X33,X14,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6),c_HOL_Oplus__class_Oplus(X14,X33,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X6),X33,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X6),X14,tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__add__less_0) ).
fof(c_0_37_038,axiom,
! [X4,X5,X33,X14,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6),c_HOL_Otimes__class_Otimes(X14,X33,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X6),X33,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X6),X14,tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__mult__less_0) ).
fof(c_0_38_039,axiom,
! [X29,X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(X30,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),X29,X6),X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I15_J_0) ).
fof(c_0_39_040,axiom,
! [X29,X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X30,X29,X6),X6),X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I14_J_0) ).
fof(c_0_40_041,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_mult__strict__mono_0) ).
fof(c_0_41_042,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_mult__strict__mono_H_0) ).
fof(c_0_42_043,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_mult__mono_0) ).
fof(c_0_43_044,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_mult__mono_H_0) ).
fof(c_0_44_045,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_mult__le__less__imp__less_0) ).
fof(c_0_45_046,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_mult__less__le__imp__less_0) ).
fof(c_0_46_047,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),c_HOL_Otimes__class_Otimes(X16,X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X9,X6),X15,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),X16,X6) ),
file('<stdin>',cls_abs__mult__less_0) ).
fof(c_0_47_048,axiom,
! [X5,X14,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X10,X14,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X10,X6),X6),X14,X6) ),
file('<stdin>',cls_abs__diff__less__iff_0) ).
fof(c_0_48_049,axiom,
! [X5,X14,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X10,X14,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X10,X6),X6),X14,X6) ),
file('<stdin>',cls_abs__diff__less__iff_1) ).
fof(c_0_49_050,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),X6)
| X4 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_sum__squares__gt__zero__iff_2) ).
fof(c_0_50_051,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_sum__squares__gt__zero__iff_1) ).
fof(c_0_51_052,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),X6) ),
file('<stdin>',cls_sum__squares__ge__zero_0) ).
fof(c_0_52_053,axiom,
! [X17,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X10,X17,X6),c_Power_Opower__class_Opower(X9,X17,X6),X6) ),
file('<stdin>',cls_power__less__imp__less__base_0) ).
fof(c_0_53_054,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_mult__less__imp__less__right_0) ).
fof(c_0_54_055,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
file('<stdin>',cls_mult__less__imp__less__left_0) ).
fof(c_0_55_056,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_mult__right__less__imp__less_0) ).
fof(c_0_56_057,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
file('<stdin>',cls_mult__left__less__imp__less_0) ).
fof(c_0_57_058,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_lessequals(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_mult__right__le__imp__le_0) ).
fof(c_0_58_059,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_lessequals(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
file('<stdin>',cls_mult__left__le__imp__le_0) ).
fof(c_0_59_060,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
file('<stdin>',cls_mult__le__cancel__left__pos_0) ).
fof(c_0_60_061,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X9,X10,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__le__cancel__left__neg_0) ).
fof(c_0_61_062,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
file('<stdin>',cls_mult__less__cancel__left__pos_0) ).
fof(c_0_62_063,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__less__cancel__left__neg_0) ).
fof(c_0_63_064,axiom,
! [X4,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(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__square__gt__zero2_0) ).
fof(c_0_64_065,axiom,
! [X4,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(X4,X4,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_65_066,axiom,
! [X7,X8,X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X10,X8,X6),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X8,X7,tc_Polynomial_Opoly(X6)),X6) ),
file('<stdin>',cls_add__pCons_0) ).
fof(c_0_66_067,axiom,
! [X2,X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__le__cancel__iff2_0) ).
fof(c_0_67_068,axiom,
! [X2,X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__le__cancel__iff1_0) ).
fof(c_0_68_069,axiom,
! [X2,X4,X5] :
( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__less__iff1_0) ).
fof(c_0_69_070,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
file('<stdin>',cls_mult__less__cancel__left__disj_0) ).
fof(c_0_70_071,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_mult__less__cancel__right__disj_0) ).
fof(c_0_71_072,axiom,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Otimes__class_Otimes(X5,X2,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
file('<stdin>',cls_class__ringb_Oadd__mul__solve_1) ).
fof(c_0_72_073,axiom,
! [X5,X15,X16,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X16,X6),c_HOL_Otimes__class_Otimes(X5,X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X15,X6),c_HOL_Otimes__class_Otimes(X5,X16,X6),X6) ),
file('<stdin>',cls_class__ringb_Onoteq__reduce_1) ).
fof(c_0_73_074,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
file('<stdin>',cls_mult__less__cancel__left__disj_1) ).
fof(c_0_74_075,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
file('<stdin>',cls_mult__less__cancel__left__disj_2) ).
fof(c_0_75_076,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_mult__less__cancel__right__disj_1) ).
fof(c_0_76_077,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_mult__less__cancel__right__disj_2) ).
fof(c_0_77_078,axiom,
! [X29,X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X30,X6),c_HOL_Otimes__class_Otimes(X32,X29,X6),X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I13_J_0) ).
fof(c_0_78_079,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X16,X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I20_J_0) ).
fof(c_0_79_080,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ominus__class_Ominus(X16,X15,X6),X6) ),
file('<stdin>',cls_Deriv_Oadd__diff__add_0) ).
fof(c_0_80_081,axiom,
! [X5,X8,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X10,X8,X6),X5,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Otimes__class_Otimes(X5,c_Polynomial_Opoly(X8,X5,X6),X6),X6) ),
file('<stdin>',cls_poly__pCons_0) ).
fof(c_0_81_082,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
file('<stdin>',cls_mult__less__cancel__left__disj_3) ).
fof(c_0_82_083,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_mult__less__cancel__right__disj_3) ).
fof(c_0_83_084,axiom,
! [X5,X14,X15,X16,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X14,X16,X6),X6) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X14,X15,X6),X6)
| X16 = X15
| X14 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_class__ringb_Oadd__scale__eq__noteq_0) ).
fof(c_0_84_085,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6) ),
file('<stdin>',cls_abs__le__mult_0) ).
fof(c_0_85_086,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),X6) ),
file('<stdin>',cls_abs__triangle__ineq2_0) ).
fof(c_0_86_087,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X10,X9,X6),X6),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6) ),
file('<stdin>',cls_abs__triangle__ineq_0) ).
fof(c_0_87_088,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6) ),
file('<stdin>',cls_abs__triangle__ineq4_0) ).
fof(c_0_88_089,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_lessequals(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
file('<stdin>',cls_le__add__right__mono_0) ).
fof(c_0_89_090,axiom,
! [X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__triangle__ineq_0) ).
fof(c_0_90_091,axiom,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X10,X6),c_RealVector_Onorm__class_Onorm(X9,X6),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__triangle__ineq2_0) ).
fof(c_0_91_092,axiom,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X10,X6),c_RealVector_Onorm__class_Onorm(X9,X6),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X10,X9,X6),X6),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__diff__ineq_0) ).
fof(c_0_92_093,axiom,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X10,X6),c_RealVector_Onorm__class_Onorm(X9,X6),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__triangle__ineq4_0) ).
fof(c_0_93_094,axiom,
! [X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__mult__ineq_0) ).
fof(c_0_94_095,axiom,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X8,X7,tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_eq__poly__code_I4_J_1) ).
fof(c_0_95_096,axiom,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X10,X9,X6)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_eq__poly__code_I4_J_0) ).
fof(c_0_96_097,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6) ),
file('<stdin>',cls_add__less__cancel__left_0) ).
fof(c_0_97_098,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
file('<stdin>',cls_add__less__cancel__right_0) ).
fof(c_0_98_099,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
file('<stdin>',cls_add__le__cancel__right_0) ).
fof(c_0_99_100,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6) ),
file('<stdin>',cls_add__le__cancel__left_0) ).
fof(c_0_100_101,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
| c_lessequals(X10,c_HOL_Oplus__class_Oplus(X16,c_HOL_Oabs__class_Oabs(X9,X6),X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) ),
file('<stdin>',cls_estimate__by__abs_0) ).
fof(c_0_101_102,axiom,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(X8,X7,tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(X10,X9,X6) ),
file('<stdin>',cls_eq__poly__code_I4_J_2) ).
fof(c_0_102_103,axiom,
! [X4,X5,X16,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X6),c_HOL_Otimes__class_Otimes(X16,c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__ratiotest__lemma_0) ).
fof(c_0_103_104,axiom,
! [X8,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X16,X8,X6),c_Polynomial_OpCons(X10,X8,X6),tc_Polynomial_Opoly(X6)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_offset__poly__eq__0__lemma_0) ).
fof(c_0_104_105,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Omult__mono1(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_mult__mono1_0) ).
fof(c_0_105_106,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Omult__mono(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_mult__left__mono_0) ).
fof(c_0_106_107,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Omult__mono(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_mult__right__mono_0) ).
fof(c_0_107_108,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,X10,X6) ),
file('<stdin>',cls_mult__left__mono__neg_0) ).
fof(c_0_108_109,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,X10,X6) ),
file('<stdin>',cls_mult__right__mono__neg_0) ).
fof(c_0_109_110,axiom,
! [X17,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_lessequals(c_Power_Opower__class_Opower(X10,X17,X6),c_Power_Opower__class_Opower(X9,X17,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_power__mono_0) ).
fof(c_0_110_111,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
file('<stdin>',cls_mult__le__cancel__left__pos_1) ).
fof(c_0_111_112,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__le__cancel__left__neg_1) ).
fof(c_0_112_113,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_mult__strict__left__mono__comm_0) ).
fof(c_0_113_114,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__less__cancel__right__disj_5) ).
fof(c_0_114_115,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
file('<stdin>',cls_mult__less__cancel__right__disj_4) ).
fof(c_0_115_116,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_mult__strict__right__mono_0) ).
fof(c_0_116_117,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6) ),
file('<stdin>',cls_mult__strict__right__mono__neg_0) ).
fof(c_0_117_118,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__less__cancel__left__disj_5) ).
fof(c_0_118_119,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
file('<stdin>',cls_mult__less__cancel__left__disj_4) ).
fof(c_0_119_120,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_mult__strict__left__mono_0) ).
fof(c_0_120_121,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6) ),
file('<stdin>',cls_mult__strict__left__mono__neg_0) ).
fof(c_0_121_122,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
file('<stdin>',cls_mult__less__cancel__left__pos_1) ).
fof(c_0_122_123,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__less__cancel__left__neg_1) ).
fof(c_0_123_124,axiom,
! [X5,X17,X6] :
( ~ class_RealVector_Oreal__normed__algebra__1(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X5,X17,X6),X6),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X5,X6),X17,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__power__ineq_0) ).
fof(c_0_124_125,axiom,
! [X7,X8,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X10,c_HOL_Oplus__class_Oplus(X8,X7,tc_Polynomial_Opoly(X6)),X6) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X10,X8,X6),c_Polynomial_Osmult(X10,X7,X6),tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_smult__add__right_0) ).
fof(c_0_125_126,axiom,
! [X5,X7,X8,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X8,X7,tc_Polynomial_Opoly(X6)),X5,X6) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X8,X5,X6),c_Polynomial_Opoly(X7,X5,X6),X6) ),
file('<stdin>',cls_poly__add_0) ).
fof(c_0_126_127,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_add__less__le__mono_0) ).
fof(c_0_127_128,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_add__le__less__mono_0) ).
fof(c_0_128_129,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_add__mono_0) ).
fof(c_0_129_130,axiom,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_add__strict__mono_0) ).
fof(c_0_130_131,axiom,
! [X4,X5,X16] :
( 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(X16,c_HOL_Oabs__class_Oabs(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_rabs__ratiotest__lemma_0) ).
fof(c_0_131_132,axiom,
! [X8,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X10,X9,X6),X8,X6) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X10,X8,X6),c_Polynomial_Osmult(X9,X8,X6),tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_smult__add__left_0) ).
fof(c_0_132_133,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6) != c_HOL_Ozero__class_Ozero(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_sum__squares__eq__zero__iff_0) ).
fof(c_0_133_134,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6) != c_HOL_Ozero__class_Ozero(X6)
| X4 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_sum__squares__eq__zero__iff_1) ).
fof(c_0_134_135,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X4,X2,X6),X5,X6) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X4,X5,X6),c_Orderings_Oord__class_Omin(X2,X5,X6),X6) ),
file('<stdin>',cls_min__max_Oinf__sup__distrib2_0) ).
fof(c_0_135_136,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omax(X4,X2,X6),X6) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X5,X4,X6),c_Orderings_Oord__class_Omin(X5,X2,X6),X6) ),
file('<stdin>',cls_min__max_Oinf__sup__distrib1_0) ).
fof(c_0_136_137,axiom,
! [X8,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X10,c_Polynomial_OpCons(X9,X8,X6),X6) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_Polynomial_Osmult(X10,X8,X6),X6) ),
file('<stdin>',cls_smult__pCons_0) ).
fof(c_0_137_138,axiom,
! [X4,X5,X7,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X5,X4,X6),X7,X6) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X5,X7,X6),c_Power_Opower__class_Opower(X4,X7,X6),X6) ),
file('<stdin>',cls_class__semiring_Opwr__mul_0) ).
fof(c_0_138_139,axiom,
! [X17,X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X6)
| c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X10,X9,X6),X17,X6) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X10,X17,X6),c_Power_Opower__class_Opower(X9,X17,X6),X6) ),
file('<stdin>',cls_power__mult__distrib_0) ).
fof(c_0_139_140,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X5,X4,X6),c_Orderings_Oord__class_Omax(X5,X2,X6),X6) ),
file('<stdin>',cls_min__max_Osup__inf__distrib1_0) ).
fof(c_0_140_141,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X4,X2,X6),X5,X6) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X4,X5,X6),c_Orderings_Oord__class_Omax(X2,X5,X6),X6) ),
file('<stdin>',cls_min__max_Osup__inf__distrib2_0) ).
fof(c_0_141_142,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I8_J_0) ).
fof(c_0_142_143,axiom,
! [X4,X27,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X27,c_HOL_Oplus__class_Oplus(X5,X4,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X27,X5,X6),c_HOL_Otimes__class_Otimes(X27,X4,X6),X6) ),
file('<stdin>',cls_mult__right_Oadd_0) ).
fof(c_0_143_144,axiom,
! [X26,X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Oplus__class_Oplus(X9,X26,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Otimes__class_Otimes(X10,X26,X6),X6) ),
file('<stdin>',cls_mult_Oadd__right_0) ).
fof(c_0_144_145,axiom,
! [X24,X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X4,X6),X24,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X24,X6),c_HOL_Otimes__class_Otimes(X4,X24,X6),X6) ),
file('<stdin>',cls_mult__left_Oadd_0) ).
fof(c_0_145_146,axiom,
! [X9,X25,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X25,X6),X9,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Otimes__class_Otimes(X25,X9,X6),X6) ),
file('<stdin>',cls_mult_Oadd__left_0) ).
fof(c_0_146_147,axiom,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Otimes__class_Otimes(X5,X2,X6),X6) ),
file('<stdin>',cls_class__semiring_Omul__d_0) ).
fof(c_0_147_148,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_comm__semiring__class_Odistrib_0) ).
fof(c_0_148_149,axiom,
! [X28,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X28,X6),c_HOL_Otimes__class_Otimes(X9,X28,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X9,X6),X28,X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I1_J_0) ).
fof(c_0_149_150,axiom,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X5,X2,X6),c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) ),
file('<stdin>',cls_max__add__distrib__left_0) ).
fof(c_0_150_151,axiom,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X5,X2,X6),c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) ),
file('<stdin>',cls_min__add__distrib__left_0) ).
fof(c_0_151_152,axiom,
! [X4,X27,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X27,c_HOL_Ominus__class_Ominus(X5,X4,X6),X6) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X27,X5,X6),c_HOL_Otimes__class_Otimes(X27,X4,X6),X6) ),
file('<stdin>',cls_mult__right_Odiff_0) ).
fof(c_0_152_153,axiom,
! [X26,X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ominus__class_Ominus(X9,X26,X6),X6) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Otimes__class_Otimes(X10,X26,X6),X6) ),
file('<stdin>',cls_mult_Odiff__right_0) ).
fof(c_0_153_154,axiom,
! [X9,X25,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X25,X6),X9,X6) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Otimes__class_Otimes(X25,X9,X6),X6) ),
file('<stdin>',cls_mult_Odiff__left_0) ).
fof(c_0_154_155,axiom,
! [X24,X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X4,X6),X24,X6) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X24,X6),c_HOL_Otimes__class_Otimes(X4,X24,X6),X6) ),
file('<stdin>',cls_mult__left_Odiff_0) ).
fof(c_0_155_156,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X16,X6) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I1_J_0) ).
fof(c_0_156_157,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X10,X16,X6),X6) ),
file('<stdin>',cls_lordered__ab__group__add__class_Oadd__sup__inf__distribs_I2_J_0) ).
fof(c_0_157_158,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X6)
| c_HOL_Oplus__class_Oplus(X10,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X10,X16,X6),X6) ),
file('<stdin>',cls_add__inf__distrib__left_0) ).
fof(c_0_158_159,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X6)
| c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X16,X6) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
file('<stdin>',cls_add__inf__distrib__right_0) ).
fof(c_0_159_160,axiom,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X5,X2,X6),c_HOL_Ominus__class_Ominus(X4,X2,X6),X6) ),
file('<stdin>',cls_max__diff__distrib__left_0) ).
fof(c_0_160_161,axiom,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X5,X2,X6),c_HOL_Ominus__class_Ominus(X4,X2,X6),X6) ),
file('<stdin>',cls_min__diff__distrib__left_0) ).
fof(c_0_161_162,axiom,
! [X8,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X10,X8,X6),X16,X6) = c_Polynomial_OpCons(c_Polynomial_Opoly(X8,X16,X6),c_Polynomial_Osynthetic__div(X8,X16,X6),X6) ),
file('<stdin>',cls_synthetic__div__pCons_0) ).
fof(c_0_162_163,axiom,
! [X2,X4,X5] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__le__cancel__iff2_1) ).
fof(c_0_163_164,axiom,
! [X2,X4,X5] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X5,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__le__cancel__iff1_1) ).
fof(c_0_164_165,axiom,
! [X2,X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__less__mono2_0) ).
fof(c_0_165_166,axiom,
! [X2,X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__mult__less__iff1_1) ).
fof(c_0_166_167,axiom,
! [X2,X14,X8] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X8,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X8,X14),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),X14,tc_RealDef_Oreal) ),
file('<stdin>',cls_poly__bound__exists_1) ).
fof(c_0_167_168,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X9,X10,X6),X6) ),
file('<stdin>',cls_zero__less__mult__pos2_0) ).
fof(c_0_168_169,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
file('<stdin>',cls_zero__less__mult__pos_0) ).
fof(c_0_169_170,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_abs__eq__mult_0) ).
fof(c_0_170_171,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_abs__eq__mult_1) ).
fof(c_0_171_172,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__eq__mult_2) ).
fof(c_0_172_173,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__eq__mult_3) ).
fof(c_0_173_174,axiom,
! [X7,X9,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X7,tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X6),X9,X6) ),
file('<stdin>',cls_eq__poly__code_I2_J_2) ).
fof(c_0_174_175,axiom,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(X8,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_eq__poly__code_I3_J_2) ).
fof(c_0_175_176,axiom,
! [X4,X5] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,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_176_177,axiom,
! [X4,X5] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__squares__cancel2_0) ).
fof(c_0_177_178,axiom,
! [X14,X7,X8,X16,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_HOL_Oplus__class_Oplus(X8,c_Polynomial_Osmult(X16,X7,X6),tc_Polynomial_Opoly(X6)) != c_Polynomial_OpCons(X14,X7,X6)
| X7 = c_Polynomial_Osynthetic__div(X8,X16,X6) ),
file('<stdin>',cls_synthetic__div__unique_1) ).
fof(c_0_178_179,axiom,
! [X14,X7,X8,X16,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_HOL_Oplus__class_Oplus(X8,c_Polynomial_Osmult(X16,X7,X6),tc_Polynomial_Opoly(X6)) != c_Polynomial_OpCons(X14,X7,X6)
| X14 = c_Polynomial_Opoly(X8,X16,X6) ),
file('<stdin>',cls_synthetic__div__unique_0) ).
fof(c_0_179_180,axiom,
! [X2,X4,X5,X21,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) != c_HOL_Oplus__class_Oplus(X4,X21,X6)
| c_HOL_Oplus__class_Oplus(X5,X2,X6) = X21 ),
file('<stdin>',cls_add__cancel__21_0) ).
fof(c_0_180_181,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__le__0__iff_0) ).
fof(c_0_181_182,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__le__0__iff_1) ).
fof(c_0_182_183,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__le__0__iff_2) ).
fof(c_0_183_184,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__le__0__iff_3) ).
fof(c_0_184_185,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
file('<stdin>',cls_zero__le__mult__iff_0) ).
fof(c_0_185_186,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
file('<stdin>',cls_zero__le__mult__iff_1) ).
fof(c_0_186_187,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
file('<stdin>',cls_zero__le__mult__iff_2) ).
fof(c_0_187_188,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
file('<stdin>',cls_zero__le__mult__iff_3) ).
fof(c_0_188_189,axiom,
! [X7,X9,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X7,tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_eq__poly__code_I2_J_1) ).
fof(c_0_189_190,axiom,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X8,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_eq__poly__code_I3_J_1) ).
fof(c_0_190_191,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_191_192,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,X4,X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) ),
file('<stdin>',cls_less__max__iff__disj_0) ).
fof(c_0_192_193,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X2,X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) ),
file('<stdin>',cls_min__less__iff__disj_0) ).
fof(c_0_193_194,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,X2,X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) ),
file('<stdin>',cls_min__le__iff__disj_0) ).
fof(c_0_194_195,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X2,X4,X6)
| c_lessequals(X2,X5,X6)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) ),
file('<stdin>',cls_le__max__iff__disj_0) ).
fof(c_0_195_196,axiom,
! [X7,X9,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_eq__poly__code_I2_J_0) ).
fof(c_0_196_197,axiom,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_eq__poly__code_I3_J_0) ).
fof(c_0_197_198,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__neg__pos_0) ).
fof(c_0_198_199,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_mult__pos__neg_0) ).
fof(c_0_199_200,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_mult__pos__neg2_0) ).
fof(c_0_200_201,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_add__nonpos__neg_0) ).
fof(c_0_201_202,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_add__neg__nonpos_0) ).
fof(c_0_202_203,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_mult__pos__pos_0) ).
fof(c_0_203_204,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__neg__neg_0) ).
fof(c_0_204_205,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_split__mult__pos__le_0) ).
fof(c_0_205_206,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_split__mult__pos__le_1) ).
fof(c_0_206_207,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__nonpos__nonpos_0) ).
fof(c_0_207_208,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_zero__le__mult__iff_4) ).
fof(c_0_208_209,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_zero__le__mult__iff_5) ).
fof(c_0_209_210,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_mult__nonneg__nonneg_0) ).
fof(c_0_210_211,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_add__neg__neg_0) ).
fof(c_0_211_212,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_mult__le__0__iff_4) ).
fof(c_0_212_213,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__le__0__iff_5) ).
fof(c_0_213_214,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_split__mult__neg__le_0) ).
fof(c_0_214_215,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_split__mult__neg__le_1) ).
fof(c_0_215_216,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_mult__nonneg__nonpos_0) ).
fof(c_0_216_217,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_mult__nonpos__nonneg_0) ).
fof(c_0_217_218,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X9,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_mult__nonneg__nonpos2_0) ).
fof(c_0_218_219,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_add__nonneg__pos_0) ).
fof(c_0_219_220,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_add__pos__nonneg_0) ).
fof(c_0_220_221,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_add__nonneg__nonneg_0) ).
fof(c_0_221_222,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_add__pos__pos_0) ).
fof(c_0_222_223,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_add__nonpos__nonpos_0) ).
fof(c_0_223_224,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_add__less__cancel__left_1) ).
fof(c_0_224_225,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_add__strict__left__mono_0) ).
fof(c_0_225_226,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_add__less__cancel__right_1) ).
fof(c_0_226_227,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_add__strict__right__mono_0) ).
fof(c_0_227_228,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_add__le__cancel__right_1) ).
fof(c_0_228_229,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_add__le__cancel__left_1) ).
fof(c_0_229_230,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_add__right__mono_0) ).
fof(c_0_230_231,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_add__left__mono_0) ).
fof(c_0_231_232,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_lessequals(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_lessequals(X9,X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
file('<stdin>',cls_add__increasing2_0) ).
fof(c_0_232_233,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_lessequals(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_lessequals(X9,X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_add__increasing_0) ).
fof(c_0_233_234,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oord__class_Oless(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_add__strict__increasing2_0) ).
fof(c_0_234_235,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oord__class_Oless(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_lessequals(X9,X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_add__strict__increasing_0) ).
fof(c_0_235_236,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_le__eq__neg_1) ).
fof(c_0_236_237,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_HOL_Oord__class_Oless(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_pos__add__strict_0) ).
fof(c_0_237_238,axiom,
! [X2,X4,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X5,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__left__mono_0) ).
fof(c_0_238_239,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6)
| ~ c_HOL_Oord__class_Oless(X4,X2,X6)
| ~ c_HOL_Oord__class_Oless(X5,X2,X6) ),
file('<stdin>',cls_max__less__iff__conj_2) ).
fof(c_0_239_240,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X5,X4,X6),X6)
| ~ c_HOL_Oord__class_Oless(X2,X4,X6)
| ~ c_HOL_Oord__class_Oless(X2,X5,X6) ),
file('<stdin>',cls_min__less__iff__conj_2) ).
fof(c_0_240_241,axiom,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6)
| ~ c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_inf__greatest_0) ).
fof(c_0_241_242,axiom,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6)
| ~ c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_le__inf__iff_2) ).
fof(c_0_242_243,axiom,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X6)
| ~ c_lessequals(X5,X9,X6)
| ~ c_lessequals(X5,X10,X6) ),
file('<stdin>',cls_le__infI_0) ).
fof(c_0_243_244,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6)
| ~ c_lessequals(X4,X2,X6)
| ~ c_lessequals(X5,X2,X6) ),
file('<stdin>',cls_min__max_Ole__sup__iff_2) ).
fof(c_0_244_245,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X6),X5,X6)
| ~ c_lessequals(X2,X5,X6)
| ~ c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_min__max_Osup__least_0) ).
fof(c_0_245_246,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(X10,X9,X6),X5,X6)
| ~ c_lessequals(X9,X5,X6)
| ~ c_lessequals(X10,X5,X6) ),
file('<stdin>',cls_min__max_Ole__supI_0) ).
fof(c_0_246_247,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6)
| ~ c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_min__max_Oinf__greatest_0) ).
fof(c_0_247_248,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6)
| ~ c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_min__max_Ole__inf__iff_2) ).
fof(c_0_248_249,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omin(X10,X9,X6),X6)
| ~ c_lessequals(X5,X9,X6)
| ~ c_lessequals(X5,X10,X6) ),
file('<stdin>',cls_min__max_Ole__infI_0) ).
fof(c_0_249_250,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6) ),
file('<stdin>',cls_abs__add__abs_0) ).
fof(c_0_250_251,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,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_251_252,axiom,
! [X5,X17,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_Power_Opower__class_Opower(X5,X17,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_power__le__zero__eq_3) ).
fof(c_0_252_253,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_0) ).
fof(c_0_253_254,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_even__less__0__iff_0) ).
fof(c_0_254_255,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X10,X6),X6) ),
file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_0) ).
fof(c_0_255_256,axiom,
! [X5,X17,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_Power_Opower__class_Opower(X5,X17,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_power__less__zero__eq_1) ).
fof(c_0_256_257,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X10,X6),X6) ),
file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_0) ).
fof(c_0_257_258,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_0) ).
fof(c_0_258_259,axiom,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X2,X6),X6) ),
file('<stdin>',cls_inf__left__commute_0) ).
fof(c_0_259_260,axiom,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X2,X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) ),
file('<stdin>',cls_inf__assoc_0) ).
fof(c_0_260_261,axiom,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X2,X6),X6) ),
file('<stdin>',cls_inf__sup__aci_I3_J_0) ).
fof(c_0_261_262,axiom,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X2,X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) ),
file('<stdin>',cls_inf__sup__aci_I2_J_0) ).
fof(c_0_262_263,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X10,X9,X6),X16,X6) = c_HOL_Otimes__class_Otimes(X10,c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
file('<stdin>',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).
fof(c_0_263_264,axiom,
! [X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),X30,X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X30,X6),X32,X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I16_J_0) ).
fof(c_0_264_265,axiom,
! [X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),X30,X6) = c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X32,X30,X6),X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I17_J_0) ).
fof(c_0_265_266,axiom,
! [X29,X30,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X30,X6),X29,X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I18_J_0) ).
fof(c_0_266_267,axiom,
! [X29,X30,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(X30,c_HOL_Otimes__class_Otimes(X31,X29,X6),X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I19_J_0) ).
fof(c_0_267_268,axiom,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X4,X2,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X5,X4,X6),X2,X6) ),
file('<stdin>',cls_class__semiring_Omul__a_0) ).
fof(c_0_268_269,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) = c_HOL_Oplus__class_Oplus(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6) ),
file('<stdin>',cls_comm__monoid__add_Omult__left__commute_0) ).
fof(c_0_269_270,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
file('<stdin>',cls_comm__monoid__add_Omult__assoc_0) ).
fof(c_0_270_271,axiom,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X4,X6),X2,X6) ),
file('<stdin>',cls_class__semiring_Oadd__a_0) ).
fof(c_0_271_272,axiom,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) = c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X5,X2,X6),X6) ),
file('<stdin>',cls_add__cancel__21_1) ).
fof(c_0_272_273,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Oab__semigroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
file('<stdin>',cls_ab__semigroup__add__class_Oadd__ac_I1_J_0) ).
fof(c_0_273_274,axiom,
! [X15,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X16,X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X16,X6),X15,X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I25_J_0) ).
fof(c_0_274_275,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X16,X6),X9,X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I23_J_0) ).
fof(c_0_275_276,axiom,
! [X15,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X16,X15,X6),X6) = c_HOL_Oplus__class_Oplus(X16,c_HOL_Oplus__class_Oplus(X10,X15,X6),X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I22_J_0) ).
fof(c_0_276_277,axiom,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I21_J_0) ).
fof(c_0_277_278,axiom,
! [X5,X8,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_Polynomial_Osmult(X10,X8,X6),X5,X6) = c_HOL_Otimes__class_Otimes(X10,c_Polynomial_Opoly(X8,X5,X6),X6) ),
file('<stdin>',cls_poly__smult_0) ).
fof(c_0_278_279,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) ),
file('<stdin>',cls_min__max_Oinf__assoc_0) ).
fof(c_0_279_280,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) = c_Orderings_Oord__class_Omin(X4,c_Orderings_Oord__class_Omin(X5,X2,X6),X6) ),
file('<stdin>',cls_min__max_Oinf__left__commute_0) ).
fof(c_0_280_281,axiom,
! [X17,X10,X6] :
( ~ class_OrderedGroup_Omonoid__mult(X6)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X10,X17,X6),X10,X6) = c_HOL_Otimes__class_Otimes(X10,c_Power_Opower__class_Opower(X10,X17,X6),X6) ),
file('<stdin>',cls_power__commutes_0) ).
fof(c_0_281_282,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omax(X4,X2,X6),X6) = c_Orderings_Oord__class_Omax(X4,c_Orderings_Oord__class_Omax(X5,X2,X6),X6) ),
file('<stdin>',cls_min__max_Osup__left__commute_0) ).
fof(c_0_282_283,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omax(X4,X2,X6),X6) ),
file('<stdin>',cls_min__max_Osup__assoc_0) ).
fof(c_0_283_284,axiom,
! [X8,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X10,c_Polynomial_Osmult(X9,X8,X6),X6) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X10,X9,X6),X8,X6) ),
file('<stdin>',cls_smult__smult_0) ).
fof(c_0_284_285,axiom,
! [X5,X7,X8,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_Polynomial_Opcompose(X8,X7,X6),X5,X6) = c_Polynomial_Opoly(X8,c_Polynomial_Opoly(X7,X5,X6),X6) ),
file('<stdin>',cls_poly__pcompose_0) ).
fof(c_0_285_286,axiom,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_sum__squares__eq__zero__iff_2) ).
fof(c_0_286_287,axiom,
! [X4,X5] :
( c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,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_287_288,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__less__add__iff_0) ).
fof(c_0_288_289,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,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_289_290,axiom,
! [X4,X5] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__add__iff_0) ).
fof(c_0_290_291,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_le__iff__diff__le__0_1) ).
fof(c_0_291_292,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_less__iff__diff__less__0_1) ).
fof(c_0_292_293,axiom,
! [X18,X4,X19,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X19,X18,X6) ),
file('<stdin>',cls_less__eqI_1) ).
fof(c_0_293_294,axiom,
! [X18,X4,X19,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| c_HOL_Oord__class_Oless(X19,X18,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_less__eqI_0) ).
fof(c_0_294_295,axiom,
! [X18,X4,X19,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| c_lessequals(X18,X19,X6)
| ~ c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_le__eqI_0) ).
fof(c_0_295_296,axiom,
! [X18,X4,X19,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| c_lessequals(X4,X5,X6)
| ~ c_lessequals(X18,X19,X6) ),
file('<stdin>',cls_le__eqI_1) ).
fof(c_0_296_297,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X2,X6)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) ),
file('<stdin>',cls_max__less__iff__conj_1) ).
fof(c_0_297_298,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) ),
file('<stdin>',cls_max__less__iff__conj_0) ).
fof(c_0_298_299,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,X4,X6)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X5,X4,X6),X6) ),
file('<stdin>',cls_min__less__iff__conj_1) ).
fof(c_0_299_300,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X5,X4,X6),X6) ),
file('<stdin>',cls_min__less__iff__conj_0) ).
fof(c_0_300_301,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,X2,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) ),
file('<stdin>',cls_min__max_Ole__sup__iff_1) ).
fof(c_0_301_302,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) ),
file('<stdin>',cls_min__max_Ole__sup__iff_0) ).
fof(c_0_302_303,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X9,X5,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X10,X9,X6),X5,X6) ),
file('<stdin>',cls_min__max_Ole__supE_1) ).
fof(c_0_303_304,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X10,X5,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X10,X9,X6),X5,X6) ),
file('<stdin>',cls_min__max_Ole__supE_0) ).
fof(c_0_304_305,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) ),
file('<stdin>',cls_min__max_Ole__inf__iff_1) ).
fof(c_0_305_306,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X4,X6)
| ~ c_lessequals(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) ),
file('<stdin>',cls_min__max_Ole__inf__iff_0) ).
fof(c_0_306_307,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X9,X6)
| ~ c_lessequals(X5,c_Orderings_Oord__class_Omin(X10,X9,X6),X6) ),
file('<stdin>',cls_min__max_Ole__infE_1) ).
fof(c_0_307_308,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X10,X6)
| ~ c_lessequals(X5,c_Orderings_Oord__class_Omin(X10,X9,X6),X6) ),
file('<stdin>',cls_min__max_Ole__infE_0) ).
fof(c_0_308_309,axiom,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) ),
file('<stdin>',cls_le__inf__iff_1) ).
fof(c_0_309_310,axiom,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,X4,X6)
| ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) ),
file('<stdin>',cls_le__inf__iff_0) ).
fof(c_0_310_311,axiom,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,X9,X6)
| ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X6) ),
file('<stdin>',cls_le__infE_1) ).
fof(c_0_311_312,axiom,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,X10,X6)
| ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X6) ),
file('<stdin>',cls_le__infE_0) ).
fof(c_0_312_313,axiom,
! [X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,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_313_314,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X4,X6),X5,X6) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X4,X5,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
file('<stdin>',cls_abs__mult__pos_0) ).
fof(c_0_314_315,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
file('<stdin>',cls_le__eq__neg_0) ).
fof(c_0_315_316,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_abs__less__iff_2) ).
fof(c_0_316_317,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_abs__leI_0) ).
fof(c_0_317_318,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_abs__le__iff_2) ).
fof(c_0_318_319,axiom,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X10,X6),X17,X6),X6) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X10,X17,X6),X6) ),
file('<stdin>',cls_abs__power__minus_0) ).
fof(c_0_319_320,axiom,
! [X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| X4 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_add__nonneg__eq__0__iff_1) ).
fof(c_0_320_321,axiom,
! [X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_add__nonneg__eq__0__iff_0) ).
fof(c_0_321_322,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_322_323,axiom,
! [X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_add__nonneg__eq__0__iff_2) ).
fof(c_0_323_324,axiom,
! [X4,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__le__0__iff_1) ).
fof(c_0_324_325,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__less__add__iff_1) ).
fof(c_0_325_326,axiom,
! [X5,X14] :
( c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X14,tc_RealDef_Oreal)
| ~ c_lessequals(X5,X14,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X14,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_abs__le__interval__iff_2) ).
fof(c_0_326_327,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__less__0__iff_1) ).
fof(c_0_327_328,axiom,
! [X4,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__0__le__add__iff_1) ).
fof(c_0_328_329,axiom,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) != X4
| X5 = c_HOL_Ouminus__class_Ouminus(X2,X6) ),
file('<stdin>',cls_add__cancel__end_0) ).
fof(c_0_329_330,axiom,
! [X8,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| c_Polynomial_Opos__poly(X8,X6)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X10,X8,X6),X6) ),
file('<stdin>',cls_pos__poly__pCons_1) ).
fof(c_0_330_331,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_double__add__less__zero__iff__single__less__zero_1) ).
fof(c_0_331_332,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_even__less__0__iff_1) ).
fof(c_0_332_333,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_zero__less__double__add__iff__zero__less__single__add_1) ).
fof(c_0_333_334,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_not__square__less__zero_0) ).
fof(c_0_334_335,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X10,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_zero__le__double__add__iff__zero__le__single__add_1) ).
fof(c_0_335_336,axiom,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_Power_Opower__class_Opower(X10,X17,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_zero__le__power__iff_1) ).
fof(c_0_336_337,axiom,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_Power_Opower__class_Opower(X10,X17,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_zero__le__power_0) ).
fof(c_0_337_338,axiom,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_Power_Opower__class_Opower(X10,X17,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_zero__less__power_0) ).
fof(c_0_338_339,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_double__add__le__zero__iff__single__add__le__zero_1) ).
fof(c_0_339_340,axiom,
! [X4,X5] :
( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X4,X4,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_340_341,axiom,
! [X4,X5] :
( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sum__squares__cancel__a_1) ).
fof(c_0_341_342,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_le__iff__diff__le__0_0) ).
fof(c_0_342_343,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_less__iff__diff__less__0_0) ).
fof(c_0_343_344,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X10,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_pos__poly__pCons_3) ).
fof(c_0_344_345,axiom,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(X9,X5,X6) ),
file('<stdin>',cls_less__infI2_0) ).
fof(c_0_345_346,axiom,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(X10,X5,X6) ),
file('<stdin>',cls_less__infI1_0) ).
fof(c_0_346_347,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6)
| ~ c_HOL_Oord__class_Oless(X2,X4,X6) ),
file('<stdin>',cls_less__max__iff__disj_2) ).
fof(c_0_347_348,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6)
| ~ c_HOL_Oord__class_Oless(X2,X5,X6) ),
file('<stdin>',cls_less__max__iff__disj_1) ).
fof(c_0_348_349,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,c_Orderings_Oord__class_Omax(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,X9,X6) ),
file('<stdin>',cls_min__max_Oless__supI2_0) ).
fof(c_0_349_350,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,c_Orderings_Oord__class_Omax(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,X10,X6) ),
file('<stdin>',cls_min__max_Oless__supI1_0) ).
fof(c_0_350_351,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6)
| ~ c_HOL_Oord__class_Oless(X4,X2,X6) ),
file('<stdin>',cls_min__less__iff__disj_2) ).
fof(c_0_351_352,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6)
| ~ c_HOL_Oord__class_Oless(X5,X2,X6) ),
file('<stdin>',cls_min__less__iff__disj_1) ).
fof(c_0_352_353,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X10,X9,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(X9,X5,X6) ),
file('<stdin>',cls_min__max_Oless__infI2_0) ).
fof(c_0_353_354,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X10,X9,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(X10,X5,X6) ),
file('<stdin>',cls_min__max_Oless__infI1_0) ).
fof(c_0_354_355,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6)
| ~ c_lessequals(X2,X4,X6) ),
file('<stdin>',cls_le__max__iff__disj_2) ).
fof(c_0_355_356,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6)
| ~ c_lessequals(X2,X5,X6) ),
file('<stdin>',cls_le__max__iff__disj_1) ).
fof(c_0_356_357,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omax(X10,X9,X6),X6)
| ~ c_lessequals(X5,X9,X6) ),
file('<stdin>',cls_min__max_Ole__supI2_0) ).
fof(c_0_357_358,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omax(X10,X9,X6),X6)
| ~ c_lessequals(X5,X10,X6) ),
file('<stdin>',cls_min__max_Ole__supI1_0) ).
fof(c_0_358_359,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6)
| ~ c_lessequals(X4,X2,X6) ),
file('<stdin>',cls_min__le__iff__disj_2) ).
fof(c_0_359_360,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6)
| ~ c_lessequals(X5,X2,X6) ),
file('<stdin>',cls_min__le__iff__disj_1) ).
fof(c_0_360_361,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X10,X9,X6),X5,X6)
| ~ c_lessequals(X9,X5,X6) ),
file('<stdin>',cls_min__max_Ole__infI2_0) ).
fof(c_0_361_362,axiom,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X10,X9,X6),X5,X6)
| ~ c_lessequals(X10,X5,X6) ),
file('<stdin>',cls_min__max_Ole__infI1_0) ).
fof(c_0_362_363,axiom,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X5,X6)
| ~ c_lessequals(X9,X5,X6) ),
file('<stdin>',cls_le__infI2_0) ).
fof(c_0_363_364,axiom,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X5,X6)
| ~ c_lessequals(X10,X5,X6) ),
file('<stdin>',cls_le__infI1_0) ).
fof(c_0_364_365,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X9,X10,X6),X6) ),
file('<stdin>',cls_abs__minus__commute_0) ).
fof(c_0_365_366,axiom,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X9,X10,X6),X6) ),
file('<stdin>',cls_norm__minus__commute_0) ).
fof(c_0_366_367,axiom,
! [X4,X5] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__eq__diff_0) ).
fof(c_0_367_368,axiom,
! [X4,X5,X6] :
( ~ class_SEQ_Obanach(X6)
| ~ class_RealVector_Oreal__normed__field(X6)
| c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X5,X6),c_Transcendental_Oexp(X4,X6),X6) ),
file('<stdin>',cls_exp__add_0) ).
fof(c_0_368_369,axiom,
! [X4,X5,X6] :
( ~ class_SEQ_Obanach(X6)
| ~ class_RealVector_Oreal__normed__field(X6)
| c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X5,X6),c_Transcendental_Oexp(X4,X6),X6) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6) ),
file('<stdin>',cls_mult__exp__exp_0) ).
fof(c_0_369_370,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_HOL_Oord__class_Oless(X2,X4,X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6) ),
file('<stdin>',cls_xt1_I10_J_0) ).
fof(c_0_370_371,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_HOL_Oord__class_Oless(X4,X2,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_order__less__trans_0) ).
fof(c_0_371_372,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_lessequals(X2,X4,X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6) ),
file('<stdin>',cls_xt1_I7_J_0) ).
fof(c_0_372_373,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_HOL_Oord__class_Oless(X2,X4,X6)
| ~ c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_xt1_I8_J_0) ).
fof(c_0_373_374,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_lessequals(X4,X2,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_order__less__le__trans_0) ).
fof(c_0_374_375,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_HOL_Oord__class_Oless(X4,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_order__le__less__trans_0) ).
fof(c_0_375_376,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_lessequals(X2,X5,X6)
| ~ c_lessequals(X2,X4,X6)
| ~ c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_xt1_I6_J_0) ).
fof(c_0_376_377,axiom,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(X4,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_order__trans_0) ).
fof(c_0_377_378,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6) ),
file('<stdin>',cls_abs__mult_0) ).
fof(c_0_378_379,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6) ),
file('<stdin>',cls_Lim_Ominus__diff__minus_0) ).
fof(c_0_379_380,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_minus__add_0) ).
fof(c_0_380_381,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
file('<stdin>',cls_minus__add__distrib_0) ).
fof(c_0_381_382,axiom,
! [X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__div__algebra(X6)
| c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__mult_0) ).
fof(c_0_382_383,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_neg__less__iff__less_0) ).
fof(c_0_383_384,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_neg__le__iff__le_0) ).
fof(c_0_384_385,axiom,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X10,X6),X17,X6),X6) ),
file('<stdin>',cls_zero__le__power__abs_0) ).
fof(c_0_385_386,axiom,
! [X8,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| c_Polynomial_Opos__poly(X8,X6)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X10,X8,X6),X6) ),
file('<stdin>',cls_pos__poly__pCons_0) ).
fof(c_0_386_387,axiom,
! [X4,X5,X6] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(X5,X4,X6) ),
file('<stdin>',cls_mult__left__idem_0) ).
fof(c_0_387_388,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omin(X5,X4,X6),X6) = c_Orderings_Oord__class_Omin(X5,X4,X6) ),
file('<stdin>',cls_min__max_Oinf__left__idem_0) ).
fof(c_0_388_389,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) = c_Orderings_Oord__class_Omax(X5,X4,X6) ),
file('<stdin>',cls_min__max_Osup__left__idem_0) ).
fof(c_0_389_390,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) ),
file('<stdin>',cls_inf__sup__aci_I4_J_0) ).
fof(c_0_390_391,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) ),
file('<stdin>',cls_inf__left__idem_0) ).
fof(c_0_391_392,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6),X6) = X9 ),
file('<stdin>',cls_add__minus__cancel_0) ).
fof(c_0_392_393,axiom,
! [X11,X12,X13] :
( c_lessequals(X13,X11,tc_RealDef_Oreal)
| ~ c_lessequals(X12,X11,tc_RealDef_Oreal)
| ~ c_lessequals(X13,X12,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__trans_0) ).
fof(c_0_393_394,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6) ),
file('<stdin>',cls_abs__le__D2_0) ).
fof(c_0_394_395,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6) ),
file('<stdin>',cls_abs__less__iff_1) ).
fof(c_0_395_396,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,X6),X10,X6) ),
file('<stdin>',cls_minus__less__iff_1) ).
fof(c_0_396_397,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) ),
file('<stdin>',cls_minus__less__iff_0) ).
fof(c_0_397_398,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_less__minus__iff_1) ).
fof(c_0_398_399,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X9,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
file('<stdin>',cls_less__minus__iff_0) ).
fof(c_0_399_400,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,X6),X10,X6) ),
file('<stdin>',cls_minus__le__iff_1) ).
fof(c_0_400_401,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,X6),X10,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) ),
file('<stdin>',cls_minus__le__iff_0) ).
fof(c_0_401_402,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_le__minus__iff_1) ).
fof(c_0_402_403,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X9,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
file('<stdin>',cls_le__minus__iff_0) ).
fof(c_0_403_404,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_exp__less__cancel_0) ).
fof(c_0_404_405,axiom,
! [X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_exp__le__cancel__iff_0) ).
fof(c_0_405_406,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) ),
file('<stdin>',cls_minus__mult__left_0) ).
fof(c_0_406_407,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
file('<stdin>',cls_minus__mult__right_0) ).
fof(c_0_407_408,axiom,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
file('<stdin>',cls_mult_Ominus__left_0) ).
fof(c_0_408_409,axiom,
! [X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
file('<stdin>',cls_mult__left_Ominus_0) ).
fof(c_0_409_410,axiom,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
file('<stdin>',cls_mult_Ominus__right_0) ).
fof(c_0_410_411,axiom,
! [X27,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X27,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X27,X5,X6),X6) ),
file('<stdin>',cls_mult__right_Ominus_0) ).
fof(c_0_411_412,axiom,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X10,X17,X6),X6) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X10,X6),X17,X6) ),
file('<stdin>',cls_power__abs_0) ).
fof(c_0_412_413,axiom,
! [X5,X17,X6] :
( ~ class_RealVector_Oreal__normed__div__algebra(X6)
| c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X5,X17,X6),X6) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X5,X6),X17,tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__power_0) ).
fof(c_0_413_414,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_neg__le__0__iff__le_0) ).
fof(c_0_414_415,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_neg__less__0__iff__less_0) ).
fof(c_0_415_416,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_neg__0__le__iff__le_0) ).
fof(c_0_416_417,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_neg__0__less__iff__less_0) ).
fof(c_0_417_418,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| c_lessequals(X4,X5,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_less__le__not__le_2) ).
fof(c_0_418_419,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_neg__less__iff__less_1) ).
fof(c_0_419_420,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_le__imp__neg__le_0) ).
fof(c_0_420_421,axiom,
! [X5,X14] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X14,tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X14,tc_RealDef_Oreal) ),
file('<stdin>',cls_abs__le__interval__iff_0) ).
fof(c_0_421_422,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_HOL_Otimes__class_Otimes(X10,X10,X6) != c_HOL_Otimes__class_Otimes(X9,X9,X6)
| X10 = c_HOL_Ouminus__class_Ouminus(X9,X6)
| X10 = X9 ),
file('<stdin>',cls_square__eq__iff_0) ).
fof(c_0_422_423,axiom,
! [X2,X4,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X6),c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) = X4 ),
file('<stdin>',cls_add__cancel__end_1) ).
fof(c_0_423_424,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6) = X9 ),
file('<stdin>',cls_minus__add__cancel_0) ).
fof(c_0_424_425,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_le__minus__self__iff_0) ).
fof(c_0_425_426,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6) ),
file('<stdin>',cls_minus__le__self__iff_0) ).
fof(c_0_426_427,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_less__eq__neg__nonpos_0) ).
fof(c_0_427_428,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6) ),
file('<stdin>',cls_neg__less__eq__nonneg_0) ).
fof(c_0_428_429,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_less__minus__self__iff_0) ).
fof(c_0_429_430,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_neg__le__0__iff__le_1) ).
fof(c_0_430_431,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_neg__less__0__iff__less_1) ).
fof(c_0_431_432,axiom,
! [X8,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X16,X8,X6) != c_Polynomial_OpCons(X10,X8,X6)
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_synthetic__div__unique__lemma_0) ).
fof(c_0_432_433,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_neg__0__le__iff__le_1) ).
fof(c_0_433_434,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_neg__0__less__iff__less_1) ).
fof(c_0_434_435,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6) ),
file('<stdin>',cls_abs__less__iff_0) ).
fof(c_0_435_436,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6) ),
file('<stdin>',cls_abs__le__D1_0) ).
fof(c_0_436_437,axiom,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(X5,X4,X6) != c_HOL_Oplus__class_Oplus(X5,X2,X6)
| X4 = X2 ),
file('<stdin>',cls_class__ringb_Oadd__cancel_0) ).
fof(c_0_437_438,axiom,
! [X7,X8,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X8,X7,tc_Polynomial_Opoly(X6)),X6)
| ~ c_Polynomial_Opos__poly(X7,X6)
| ~ c_Polynomial_Opos__poly(X8,X6) ),
file('<stdin>',cls_pos__poly__add_0) ).
fof(c_0_438_439,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_le__minus__self__iff_1) ).
fof(c_0_439_440,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_minus__le__self__iff_1) ).
fof(c_0_440_441,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_less__eq__neg__nonpos_1) ).
fof(c_0_441_442,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_neg__less__eq__nonneg_1) ).
fof(c_0_442_443,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_less__minus__self__iff_1) ).
fof(c_0_443_444,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_exp__less__mono_0) ).
fof(c_0_444_445,axiom,
! [X4,X5] :
( c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_exp__le__cancel__iff_1) ).
fof(c_0_445_446,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6) = c_HOL_Ominus__class_Ominus(X9,X10,X6) ),
file('<stdin>',cls_minus__diff__eq_0) ).
fof(c_0_446_447,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| X5 = X4
| ~ c_lessequals(X5,X4,X6)
| ~ c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_order__antisym__conv_0) ).
fof(c_0_447_448,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| X5 = X4
| ~ c_lessequals(X4,X5,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_order__eq__iff_2) ).
fof(c_0_448_449,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| X5 = X4
| ~ c_lessequals(X4,X5,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_order__antisym_0) ).
fof(c_0_449_450,axiom,
! [X18,X19,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X5,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| X19 = X18 ),
file('<stdin>',cls_eq__eqI_0) ).
fof(c_0_450_451,axiom,
! [X4,X27,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X27,X4,X6) != c_HOL_Ominus__class_Ominus(X5,X5,X6)
| X27 = X4 ),
file('<stdin>',cls_eq__eqI_1) ).
fof(c_0_451_452,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) != c_HOL_Oplus__class_Oplus(X10,X16,X6)
| X9 = X16 ),
file('<stdin>',cls_add__imp__eq_0) ).
fof(c_0_452_453,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) != c_HOL_Oplus__class_Oplus(X10,X16,X6)
| X9 = X16 ),
file('<stdin>',cls_add__left__cancel_0) ).
fof(c_0_453_454,axiom,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X6)
| c_HOL_Oplus__class_Oplus(X9,X10,X6) != c_HOL_Oplus__class_Oplus(X16,X10,X6)
| X9 = X16 ),
file('<stdin>',cls_add__right__cancel_0) ).
fof(c_0_454_455,axiom,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(X10,X8,X6) != c_Polynomial_OpCons(X9,X7,X6)
| X10 = X9 ),
file('<stdin>',cls_pCons__eq__iff_0) ).
fof(c_0_455_456,axiom,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(X10,X8,X6) != c_Polynomial_OpCons(X9,X7,X6)
| X8 = X7 ),
file('<stdin>',cls_pCons__eq__iff_1) ).
fof(c_0_456_457,axiom,
! [X9,X10,X6] :
( ~ class_Orderings_Opreorder(X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
file('<stdin>',cls_order__less__asym_H_0) ).
fof(c_0_457_458,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_order__less__asym_0) ).
fof(c_0_458_459,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6) ),
file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).
fof(c_0_459_460,axiom,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6) ),
file('<stdin>',cls_xt1_I9_J_0) ).
fof(c_0_460_461,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| ~ c_lessequals(X4,X5,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_less__le__not__le_1) ).
fof(c_0_461_462,axiom,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_lessequals(X5,X5,X6)
| ~ c_HOL_Oord__class_Oless(X5,X5,X6) ),
file('<stdin>',cls_linorder__antisym__conv2_1) ).
fof(c_0_462_463,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_linorder__not__less_1) ).
fof(c_0_463_464,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_lessequals(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6) ),
file('<stdin>',cls_linorder__not__le_1) ).
fof(c_0_464_465,axiom,
! [X2,X14] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X14,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X14,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('<stdin>',cls_ath_0) ).
fof(c_0_465_466,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X10,X6),X6) ),
file('<stdin>',cls_zero__le__square_0) ).
fof(c_0_466_467,axiom,
! [X5,X14] :
( c_lessequals(X5,X14,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X14,tc_RealDef_Oreal) ),
file('<stdin>',cls_abs__le__interval__iff_1) ).
fof(c_0_467_468,axiom,
! [X16,X9,X10] :
( c_HOL_Otimes__class_Otimes(X16,X10,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X16,X9,tc_RealDef_Oreal)
| X16 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X10 = X9 ),
file('<stdin>',cls_real__mult__left__cancel_0) ).
fof(c_0_468_469,axiom,
! [X16,X9,X10] :
( c_HOL_Otimes__class_Otimes(X10,X16,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X9,X16,tc_RealDef_Oreal)
| X16 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X10 = X9 ),
file('<stdin>',cls_real__mult__right__cancel_0) ).
fof(c_0_469_470,axiom,
! [X2] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('<stdin>',cls_CHAINED_0) ).
fof(c_0_470_471,axiom,
! [X2,X3] :
( X2 = X3
| ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__antisym_0) ).
fof(c_0_471_472,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omin(X5,X4,X6),X6) = X5 ),
file('<stdin>',cls_min__max_Osup__inf__absorb_0) ).
fof(c_0_472_473,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X10,X9,X6),X9,X6) = X10 ),
file('<stdin>',cls_diff__add__cancel_0) ).
fof(c_0_473_474,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) = X5 ),
file('<stdin>',cls_min__max_Oinf__sup__absorb_0) ).
fof(c_0_474_475,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X9,X6) = X10 ),
file('<stdin>',cls_add__diff__cancel_0) ).
fof(c_0_475_476,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X4,X6) ),
file('<stdin>',cls_inf__le2_0) ).
fof(c_0_476_477,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X5,X6) ),
file('<stdin>',cls_inf__le1_0) ).
fof(c_0_477_478,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X4,X6) ),
file('<stdin>',cls_inf__sup__ord_I2_J_0) ).
fof(c_0_478_479,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X5,X6) ),
file('<stdin>',cls_inf__sup__ord_I1_J_0) ).
fof(c_0_479_480,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) ),
file('<stdin>',cls_le__maxI1_0) ).
fof(c_0_480_481,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) ),
file('<stdin>',cls_le__maxI2_0) ).
fof(c_0_481_482,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X4,X6) ),
file('<stdin>',cls_min__max_Oinf__le2_0) ).
fof(c_0_482_483,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X5,X6) ),
file('<stdin>',cls_min__max_Oinf__le1_0) ).
fof(c_0_483_484,axiom,
! [X9,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Otimes__class_Otimes(X9,X9,X6) ),
file('<stdin>',cls_square__eq__iff_1) ).
fof(c_0_484_485,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Otimes__class_Otimes(X10,X9,X6) ),
file('<stdin>',cls_minus__mult__minus_0) ).
fof(c_0_485_486,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X10,X6),X6) = c_HOL_Otimes__class_Otimes(X10,X10,X6) ),
file('<stdin>',cls_abs__mult__self_0) ).
fof(c_0_486_487,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) = c_HOL_Otimes__class_Otimes(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
file('<stdin>',cls_minus__mult__commute_0) ).
fof(c_0_487_488,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_488_489,axiom,
! [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(c_HOL_Ozero__class_Ozero(X6),X6),X6) ),
file('<stdin>',cls_zero__less__abs__iff_0) ).
fof(c_0_489_490,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__less__iff_0) ).
fof(c_0_490_491,axiom,
! [X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__le__iff_0) ).
fof(c_0_491_492,axiom,
! [X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X6),X6),tc_RealDef_Oreal) ),
file('<stdin>',cls_zero__less__norm__iff_0) ).
fof(c_0_492_493,axiom,
! [X4] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__ge__0__iff_0) ).
fof(c_0_493_494,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_494_495,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_495_496,axiom,
! [X4] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__gt__0__iff_0) ).
fof(c_0_496_497,axiom,
! [X4] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__ge__0__iff_1) ).
fof(c_0_497_498,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_498_499,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_499_500,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_500_501,axiom,
! [X4] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__gt__0__iff_1) ).
fof(c_0_501_502,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_502_503,axiom,
! [X8,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X10,X8,X6),X6)
| ~ c_Polynomial_Opos__poly(X8,X6) ),
file('<stdin>',cls_pos__poly__pCons_2) ).
fof(c_0_503_504,axiom,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| X10 = X9
| ~ c_lessequals(X9,X10,X6) ),
file('<stdin>',cls_xt1_I11_J_0) ).
fof(c_0_504_505,axiom,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_lessequals(X9,X10,X6)
| X10 = X9 ),
file('<stdin>',cls_xt1_I12_J_0) ).
fof(c_0_505_506,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_linorder__antisym__conv2_0) ).
fof(c_0_506_507,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| X5 = X4
| ~ c_lessequals(X5,X4,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_linorder__antisym__conv1_0) ).
fof(c_0_507_508,axiom,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(X10,X9,X6)
| X10 = X9 ),
file('<stdin>',cls_order__neq__le__trans_0) ).
fof(c_0_508_509,axiom,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| X10 = X9
| ~ c_lessequals(X10,X9,X6) ),
file('<stdin>',cls_order__le__neq__trans_0) ).
fof(c_0_509_510,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_order__le__less_0) ).
fof(c_0_510_511,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| X5 = X4
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_order__less__le_2) ).
fof(c_0_511_512,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X4,X6) != X4
| c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_min__max_Ole__iff__sup_1) ).
fof(c_0_512_513,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X4,X6) != X5
| c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_min__max_Ole__iff__inf_1) ).
fof(c_0_513_514,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) != X5
| c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_le__iff__inf_1) ).
fof(c_0_514_515,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__less__iff_1) ).
fof(c_0_515_516,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_arctan__monotone_0) ).
fof(c_0_516_517,axiom,
! [X4,X5] :
( c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__sqrt__le__iff_1) ).
fof(c_0_517_518,axiom,
! [X4,X5] :
( c_lessequals(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_arctan__monotone_H_0) ).
fof(c_0_518_519,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__le__zero__iff_0) ).
fof(c_0_519_520,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X4,X6) = X5
| ~ c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_min__max_Osup__absorb1_0) ).
fof(c_0_520_521,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X4,X6) = X4
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_min__max_Ole__iff__sup_0) ).
fof(c_0_521_522,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X4,X6) = X4
| ~ c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_min__max_Oinf__absorb2_0) ).
fof(c_0_522_523,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X4,X6) = X5
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_min__max_Ole__iff__inf_0) ).
fof(c_0_523_524,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) = X4
| ~ c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_inf__absorb2_0) ).
fof(c_0_524_525,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) = X5
| ~ c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_le__iff__inf_0) ).
fof(c_0_525_526,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_lessequals(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_order__less__imp__le_0) ).
fof(c_0_526_527,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_lessequals(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_order__le__less_1) ).
fof(c_0_527_528,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X10,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__minus__le__zero_0) ).
fof(c_0_528_529,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_inf__0__imp__0_0) ).
fof(c_0_529_530,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__not__less__zero_0) ).
fof(c_0_530_531,axiom,
! [X4,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
file('<stdin>',cls_diff__def_0) ).
fof(c_0_531_532,axiom,
! [X4,X5,X6] :
( ~ class_Int_Onumber__ring(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
file('<stdin>',cls_class__ring_Osub__add_0) ).
fof(c_0_532_533,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X9,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
file('<stdin>',cls_diff__minus_0) ).
fof(c_0_533_534,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X9,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
file('<stdin>',cls_ab__diff__minus_0) ).
fof(c_0_534_535,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
file('<stdin>',cls_diff__eq_0) ).
fof(c_0_535_536,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Oplus__class_Oplus(X10,X9,X6) ),
file('<stdin>',cls_diff__minus__eq__add_0) ).
fof(c_0_536_537,axiom,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__le__zero__iff_0) ).
fof(c_0_537_538,axiom,
! [X4,X5] :
( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| X5 = X4
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__less__def_2) ).
fof(c_0_538_539,axiom,
! [X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__if__lattice_0) ).
fof(c_0_539_540,axiom,
! [X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__less__def_0) ).
fof(c_0_540_541,axiom,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__not__less__zero_0) ).
fof(c_0_541_542,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__of__neg_0) ).
fof(c_0_542_543,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oabs__if(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__if_0) ).
fof(c_0_543_544,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__of__nonpos_0) ).
fof(c_0_544_545,axiom,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Ozero__neq__one(X6)
| ~ class_Ring__and__Field_Ono__zero__divisors(X6)
| ~ class_Ring__and__Field_Omult__zero(X6)
| ~ class_Power_Opower(X6)
| c_Power_Opower__class_Opower(X10,X17,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_power__eq__0__iff_0) ).
fof(c_0_545_546,axiom,
! [X8,X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_Polynomial_Osmult(X10,X8,X6) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_smult__eq__0__iff_0) ).
fof(c_0_546_547,axiom,
! [X5,X10] :
( c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X10,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = X10 ),
file('<stdin>',cls_real__add__minus__iff_0) ).
fof(c_0_547_548,axiom,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(X10,X8,X6) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_pCons__eq__0__iff_1) ).
fof(c_0_548_549,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X4,X5,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| X5 = X4 ),
file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).
fof(c_0_549_550,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X4,X5,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).
fof(c_0_550_551,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X5,X4,X6)
| c_HOL_Oord__class_Oless(X4,X5,X6) ),
file('<stdin>',cls_linorder__antisym__conv3_0) ).
fof(c_0_551_552,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X5,X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_linorder__less__linear_0) ).
fof(c_0_552_553,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X5,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| X5 = X4 ),
file('<stdin>',cls_linorder__neqE_0) ).
fof(c_0_553_554,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = X10
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_abs__of__nonneg_0) ).
fof(c_0_554_555,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = X10
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
file('<stdin>',cls_abs__of__pos_0) ).
fof(c_0_555_556,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| c_lessequals(X4,X5,X6) ),
file('<stdin>',cls_not__leE_0) ).
fof(c_0_556_557,axiom,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,X5,X6)
| c_lessequals(X5,X5,X6) ),
file('<stdin>',cls_linorder__antisym__conv1_1) ).
fof(c_0_557_558,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,X5,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6) ),
file('<stdin>',cls_linorder__not__less_0) ).
fof(c_0_558_559,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X5,X6)
| c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_linorder__not__le_0) ).
fof(c_0_559_560,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,X5,X6)
| c_lessequals(X5,X4,X6) ),
file('<stdin>',cls_linorder__linear_0) ).
fof(c_0_560_561,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X4,X6) = c_Orderings_Oord__class_Omax(X4,X5,X6) ),
file('<stdin>',cls_min__max_Osup__commute_0) ).
fof(c_0_561_562,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X5,X4,X6) = c_HOL_Otimes__class_Otimes(X4,X5,X6) ),
file('<stdin>',cls_class__semiring_Omul__c_0) ).
fof(c_0_562_563,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X10,X9,X6) = c_HOL_Otimes__class_Otimes(X9,X10,X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I7_J_0) ).
fof(c_0_563_564,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X6) ),
file('<stdin>',cls_inf__commute_0) ).
fof(c_0_564_565,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X6) ),
file('<stdin>',cls_inf__sup__aci_I1_J_0) ).
fof(c_0_565_566,axiom,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X4,X6) = c_Orderings_Oord__class_Omin(X4,X5,X6) ),
file('<stdin>',cls_min__max_Oinf__commute_0) ).
fof(c_0_566_567,axiom,
! [X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X10,X16,X6) = c_HOL_Oplus__class_Oplus(X16,X10,X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I24_J_0) ).
fof(c_0_567_568,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(X4,X5,X6) ),
file('<stdin>',cls_class__semiring_Oadd__c_0) ).
fof(c_0_568_569,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) = c_HOL_Oplus__class_Oplus(X9,X10,X6) ),
file('<stdin>',cls_comm__monoid__add_Omult__commute_0) ).
fof(c_0_569_570,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| c_HOL_Ouminus__class_Ouminus(X10,X6) = X9 ),
file('<stdin>',cls_minus__unique_0) ).
fof(c_0_570_571,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ouminus__class_Ouminus(X9,X6) ),
file('<stdin>',cls_eq__neg__iff__add__eq__0_1) ).
fof(c_0_571_572,axiom,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(X10,X8,X6) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_pCons__eq__0__iff_0) ).
fof(c_0_572_573,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Oabs__class_Oabs(X10,X6),X6) ),
file('<stdin>',cls_abs__ge__minus__self_0) ).
fof(c_0_573_574,axiom,
! [X14] :
( c_HOL_Oabs__class_Oabs(X14,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X14,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__abs__def_0) ).
fof(c_0_574_575,axiom,
! [X7,X8,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| X8 = X7
| ~ c_HOL_Oeq__class_Oeq(X8,X7,tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_eq__poly__def_0) ).
fof(c_0_575_576,axiom,
! [X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_eq__poly__code_I1_J_0) ).
fof(c_0_576_577,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X9 = c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_mult__eq__0__iff_0) ).
fof(c_0_577_578,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X9 = c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_no__zero__divisors_0) ).
fof(c_0_578_579,axiom,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6)
| X9 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_no__zero__divirors__neq0_0) ).
fof(c_0_579_580,axiom,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
| X5 = X4 ),
file('<stdin>',cls_class__ringb_Osubr0__iff_0) ).
fof(c_0_580_581,axiom,
! [X5,X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| X5 != c_HOL_Oplus__class_Oplus(X5,X10,X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_class__ringb_Oadd__r0__iff_0) ).
fof(c_0_581_582,axiom,
! [X2,X3] :
( c_lessequals(X3,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X3,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__le__linear_0) ).
fof(c_0_582_583,axiom,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__le__zero__iff_1) ).
fof(c_0_583_584,axiom,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X6)
| c_Power_Opower__class_Opower(X10,X17,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_field__power__not__zero_0) ).
fof(c_0_584_585,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X10,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_double__eq__0__iff_0) ).
fof(c_0_585_586,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_586_587,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = X9 ),
file('<stdin>',cls_eq__iff__diff__eq__0_1) ).
fof(c_0_587_588,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = X9 ),
file('<stdin>',cls_right__minus__eq_0) ).
fof(c_0_588_589,axiom,
! [X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__le__zero__iff_1) ).
fof(c_0_589_590,axiom,
! [X4,X5] :
( c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X4 = c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal) ),
file('<stdin>',cls_real__add__eq__0__iff_0) ).
fof(c_0_590_591,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_591_592,axiom,
! [X10,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(X10,X6),X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_zero__less__abs__iff_1) ).
fof(c_0_592_593,axiom,
! [X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_pCons__0__0_0) ).
fof(c_0_593_594,axiom,
! [X4,X5,X6] :
( ~ class_HOL_Oeq(X6)
| X5 = X4
| ~ c_HOL_Oeq__class_Oeq(X5,X4,X6) ),
file('<stdin>',cls_eq__equals_0) ).
fof(c_0_594_595,axiom,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X6),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_zero__less__norm__iff_1) ).
fof(c_0_595_596,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oabs__class_Oabs(X10,X6),X6) ),
file('<stdin>',cls_abs__ge__zero_0) ).
fof(c_0_596_597,axiom,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X5,X6) ),
file('<stdin>',cls_linorder__neq__iff_1) ).
fof(c_0_597_598,axiom,
! [X5,X6] :
( ~ class_Orderings_Oorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X5,X6) ),
file('<stdin>',cls_order__less__le_1) ).
fof(c_0_598_599,axiom,
! [X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X5,X6) ),
file('<stdin>',cls_order__less__irrefl_0) ).
fof(c_0_599_600,axiom,
! [X9,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X9,X6),X9,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_eq__neg__iff__add__eq__0_0) ).
fof(c_0_600_601,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_ab__left__minus_0) ).
fof(c_0_601_602,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_right__minus_0) ).
fof(c_0_602_603,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_left__minus_0) ).
fof(c_0_603_604,axiom,
! [X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) = c_Orderings_Obot__class_Obot(X6) ),
file('<stdin>',cls_compl__inf__bot_0) ).
fof(c_0_604_605,axiom,
! [X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_Orderings_Obot__class_Obot(X6) ),
file('<stdin>',cls_inf__compl__bot_0) ).
fof(c_0_605_606,axiom,
! [X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = X10
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__if__lattice_1) ).
fof(c_0_606_607,axiom,
! [X7,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X7,X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_pcompose__0_0) ).
fof(c_0_607_608,axiom,
! [X16,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X16,X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_synthetic__div__0_0) ).
fof(c_0_608_609,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_Polynomial_Osmult(X10,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_smult__eq__0__iff_2) ).
fof(c_0_609_610,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X10,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_smult__0__right_0) ).
fof(c_0_610_611,axiom,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X6),tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__ge__zero_0) ).
fof(c_0_611_612,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(X10,c_HOL_Oabs__class_Oabs(X10,X6),X6) ),
file('<stdin>',cls_abs__ge__self_0) ).
fof(c_0_612_613,axiom,
! [X7,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X7,tc_Polynomial_Opoly(X6)) = X7 ),
file('<stdin>',cls_add__poly__code_I1_J_0) ).
fof(c_0_613_614,axiom,
! [X8,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X8,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6)) = X8 ),
file('<stdin>',cls_add__poly__code_I2_J_0) ).
fof(c_0_614_615,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_order__root_1) ).
fof(c_0_615_616,axiom,
! [X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_poly__0_0) ).
fof(c_0_616_617,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oabs__if(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = X10
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_abs__if_1) ).
fof(c_0_617_618,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X6),X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6) ),
file('<stdin>',cls_group__add__class_Odiff__0_0) ).
fof(c_0_618_619,axiom,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_double__eq__0__iff_1) ).
fof(c_0_619_620,axiom,
! [X8,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X6),X8,X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_smult__eq__0__iff_1) ).
fof(c_0_620_621,axiom,
! [X8,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X6),X8,X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_smult__0__left_0) ).
fof(c_0_621_622,axiom,
! [X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| X5 = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_class__ringb_Oadd__r0__iff_1) ).
fof(c_0_622_623,axiom,
! [X5,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X5,X5,tc_Polynomial_Opoly(X6)) ),
file('<stdin>',cls_eq__poly__def_1) ).
fof(c_0_623_624,axiom,
! [X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Ominus__class_Ominus(X5,X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_class__ringb_Osubr0__iff_1) ).
fof(c_0_624_625,axiom,
! [X5,X6] :
( ~ class_Lattices_Obounded__lattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Orderings_Obot__class_Obot(X6),X6) = c_Orderings_Obot__class_Obot(X6) ),
file('<stdin>',cls_inf__bot__right_0) ).
fof(c_0_625_626,axiom,
! [X5,X6] :
( ~ class_Lattices_Obounded__lattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X6),X5,X6) = c_Orderings_Obot__class_Obot(X6) ),
file('<stdin>',cls_inf__bot__left_0) ).
fof(c_0_626_627,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I9_J_0) ).
fof(c_0_627_628,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I10_J_0) ).
fof(c_0_628_629,axiom,
! [X4,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X4,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_mult__left_Ozero_0) ).
fof(c_0_629_630,axiom,
! [X9,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X9,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_mult_Ozero__left_0) ).
fof(c_0_630_631,axiom,
! [X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_mult_Ozero__right_0) ).
fof(c_0_631_632,axiom,
! [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) ),
file('<stdin>',cls_mult__right_Ozero_0) ).
fof(c_0_632_633,axiom,
! [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) ),
file('<stdin>',cls_class__semiring_Omul__0_0) ).
fof(c_0_633_634,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Omult__zero(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_mult__zero__left_0) ).
fof(c_0_634_635,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Omult__zero(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_mult__zero__right_0) ).
fof(c_0_635_636,axiom,
! [X9,X6] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X9,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_mult__eq__0__iff_1) ).
fof(c_0_636_637,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_mult__eq__0__iff_2) ).
fof(c_0_637_638,axiom,
! [X14] :
( c_HOL_Oabs__class_Oabs(X14,tc_RealDef_Oreal) = X14
| c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
file('<stdin>',cls_real__abs__def_1) ).
fof(c_0_638_639,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,c_HOL_Ozero__class_Ozero(X6),X6) = X10 ),
file('<stdin>',cls_diff__0__right_0) ).
fof(c_0_639_640,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Omonoid__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Ozero__class_Ozero(X6),X6) = X10 ),
file('<stdin>',cls_monoid__add__class_Oadd__0__right_0) ).
fof(c_0_640_641,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Omonoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X10,X6) = X10 ),
file('<stdin>',cls_add__0__left_0) ).
fof(c_0_641_642,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Ozero__class_Ozero(X6),X6) = X10 ),
file('<stdin>',cls_comm__monoid__add_Omult__1__right_0) ).
fof(c_0_642_643,axiom,
! [X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X5,X6) = X5 ),
file('<stdin>',cls_class__semiring_Oadd__0_0) ).
fof(c_0_643_644,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X10,X6) = X10 ),
file('<stdin>',cls_comm__monoid__add_Omult__1_0) ).
fof(c_0_644_645,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Ozero__class_Ozero(X6),X6) = X10 ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I6_J_0) ).
fof(c_0_645_646,axiom,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X10,X6) = X10 ),
file('<stdin>',cls_class__semiring_Osemiring__rules_I5_J_0) ).
fof(c_0_646_647,axiom,
! [X5,X6] :
( ~ class_Orderings_Obot(X6)
| c_lessequals(c_Orderings_Obot__class_Obot(X6),X5,X6) ),
file('<stdin>',cls_bot__least_0) ).
fof(c_0_647_648,axiom,
! [X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_eq__iff__diff__eq__0_0) ).
fof(c_0_648_649,axiom,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_right__minus__eq_1) ).
fof(c_0_649_650,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_diff__self_0) ).
fof(c_0_650_651,axiom,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X5,X6) = X5 ),
file('<stdin>',cls_min__max_Osup__idem_0) ).
fof(c_0_651_652,axiom,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X5,X6) = X5 ),
file('<stdin>',cls_min__max_Oinf__idem_0) ).
fof(c_0_652_653,axiom,
! [X5,X6] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X6)
| c_HOL_Otimes__class_Otimes(X5,X5,X6) = X5 ),
file('<stdin>',cls_mult__idem_0) ).
fof(c_0_653_654,axiom,
! [X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X5,X6) = X5 ),
file('<stdin>',cls_inf__idem_0) ).
fof(c_0_654_655,axiom,
! [X5,X6] :
( ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X5,X5,X6) ),
file('<stdin>',cls_eq__class_Oeq__refl_0) ).
fof(c_0_655_656,axiom,
! [X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_lessequals(X5,X5,X6) ),
file('<stdin>',cls_order__eq__iff_0) ).
fof(c_0_656_657,axiom,
! [X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_lessequals(X5,X5,X6) ),
file('<stdin>',cls_order__eq__refl_0) ).
fof(c_0_657_658,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X10,X6),X6) = c_HOL_Oabs__class_Oabs(X10,X6) ),
file('<stdin>',cls_abs__minus__cancel_0) ).
fof(c_0_658_659,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X10,X6),X6) = c_HOL_Oabs__class_Oabs(X10,X6) ),
file('<stdin>',cls_abs__idempotent_0) ).
fof(c_0_659_660,axiom,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_RealVector_Onorm__class_Onorm(X5,X6) ),
file('<stdin>',cls_norm__minus__cancel_0) ).
fof(c_0_660_661,axiom,
! [X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X10,X6),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X10,X6) ),
file('<stdin>',cls_abs__norm__cancel_0) ).
fof(c_0_661_662,axiom,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6) ),
file('<stdin>',cls_not__pos__poly__0_0) ).
fof(c_0_662_663,axiom,
! [X4,X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_HOL_Ouminus__class_Ouminus(X5,X6) != c_HOL_Ouminus__class_Ouminus(X4,X6)
| X5 = X4 ),
file('<stdin>',cls_compl__eq__compl__iff_0) ).
fof(c_0_663_664,axiom,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(X10,X6) != c_HOL_Ouminus__class_Ouminus(X9,X6)
| X10 = X9 ),
file('<stdin>',cls_neg__equal__iff__equal_0) ).
fof(c_0_664_665,axiom,
! [X9,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = X9 ),
file('<stdin>',cls_minus__equation__iff_1) ).
fof(c_0_665_666,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| X10 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
file('<stdin>',cls_equation__minus__iff_1) ).
fof(c_0_666_667,axiom,
! [X9,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| X9 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
file('<stdin>',cls_equation__minus__iff_0) ).
fof(c_0_667_668,axiom,
! [X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = X5 ),
file('<stdin>',cls_double__compl_0) ).
fof(c_0_668_669,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X6),X6) = X10 ),
file('<stdin>',cls_minus__minus_0) ).
fof(c_0_669_670,axiom,
! [X5,X6] :
( ~ class_SEQ_Obanach(X6)
| ~ class_RealVector_Oreal__normed__field(X6)
| c_Transcendental_Oexp(X5,X6) != c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_exp__not__eq__zero_0) ).
fof(c_0_670_671,axiom,
! [X4,X5] :
( c_Transcendental_Oexp(X5,tc_RealDef_Oreal) != c_Transcendental_Oexp(X4,tc_RealDef_Oreal)
| X5 = X4 ),
file('<stdin>',cls_exp__inj__iff_0) ).
fof(c_0_671_672,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(X10,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_neg__equal__0__iff__equal_0) ).
fof(c_0_672_673,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ozero__class_Ozero(X6) != c_HOL_Ouminus__class_Ouminus(X10,X6)
| c_HOL_Ozero__class_Ozero(X6) = X10 ),
file('<stdin>',cls_neg__0__equal__iff__equal_0) ).
fof(c_0_673_674,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_abs__eq__0_0) ).
fof(c_0_674_675,axiom,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_RealVector_Onorm__class_Onorm(X5,X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_norm__eq__zero_0) ).
fof(c_0_675_676,axiom,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_HOL_Ouminus__class_Ouminus(X10,X6) != X10
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_neg__equal__zero_0) ).
fof(c_0_676_677,axiom,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_abs__eq__0_1) ).
fof(c_0_677_678,axiom,
! [X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ozero__class_Ozero(X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X6),X6) ),
file('<stdin>',cls_neg__0__equal__iff__equal_1) ).
fof(c_0_678_679,axiom,
! [X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_minus__zero_0) ).
fof(c_0_679_680,axiom,
! [X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
file('<stdin>',cls_neg__equal__zero_1) ).
fof(c_0_680_681,axiom,
! [X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
file('<stdin>',cls_norm__zero_0) ).
fof(c_0_681_682,axiom,
! [X4,X5] :
( c_Complex_OIm(X5) != c_Complex_OIm(X4)
| c_Complex_ORe(X5) != c_Complex_ORe(X4)
| X5 = X4 ),
file('<stdin>',cls_complex__equality_0) ).
fof(c_0_682_683,axiom,
! [X1] :
( class_HOL_Oeq(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1)
| ~ class_HOL_Oeq(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__HOL_Oeq) ).
fof(c_0_683_684,axiom,
! [X1] :
( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__comm__monoid__add) ).
fof(c_0_684_685,axiom,
! [X1] :
( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring) ).
fof(c_0_685_686,axiom,
! [X1] :
( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__ring__1) ).
fof(c_0_686_687,axiom,
! [X1] :
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__cancel__ab__semigroup__add) ).
fof(c_0_687_688,axiom,
! [X1] :
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add__imp__le) ).
fof(c_0_688_689,axiom,
! [X1] :
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__comm__semiring__strict) ).
fof(c_0_689_690,axiom,
! [X1] :
( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__cancel__semiring) ).
fof(c_0_690_691,axiom,
! [X1] :
( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oring__1__no__zero__divisors) ).
fof(c_0_691_692,axiom,
! [X1] :
( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring__strict) ).
fof(c_0_692_693,axiom,
! [X1] :
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__semigroup__add) ).
fof(c_0_693_694,axiom,
! [X1] :
( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add__abs) ).
fof(c_0_694_695,axiom,
! [X1] :
( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__comm__monoid__add) ).
fof(c_0_695_696,axiom,
! [X1] :
( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oring__no__zero__divisors) ).
fof(c_0_696_697,axiom,
! [X1] :
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__ab__semigroup__add) ).
fof(c_0_697_698,axiom,
! [X1] :
( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__ring__strict) ).
fof(c_0_698_699,axiom,
! [X1] :
( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Opordered__ab__group__add) ).
fof(c_0_699_700,axiom,
! [X1] :
( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Oordered__ab__group__add) ).
fof(c_0_700_701,axiom,
! [X1] :
( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocancel__semigroup__add) ).
fof(c_0_701_702,axiom,
! [X1] :
( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__semiring) ).
fof(c_0_702_703,axiom,
! [X1] :
( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring__abs) ).
fof(c_0_703_704,axiom,
! [X1] :
( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semiring) ).
fof(c_0_704_705,axiom,
! [X1] :
( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ono__zero__divisors) ).
fof(c_0_705_706,axiom,
! [X1] :
( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__semidom) ).
fof(c_0_706_707,axiom,
! [X1] :
( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__1) ).
fof(c_0_707_708,axiom,
! [X1] :
( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring__0) ).
fof(c_0_708_709,axiom,
! [X1] :
( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__mult) ).
fof(c_0_709_710,axiom,
! [X1] :
( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__mult) ).
fof(c_0_710_711,axiom,
! [X1] :
( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Oab__semigroup__add) ).
fof(c_0_711_712,axiom,
! [X1] :
( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Opordered__ring) ).
fof(c_0_712_713,axiom,
! [X1] :
( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ocomm__semiring) ).
fof(c_0_713_714,axiom,
! [X1] :
( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ocomm__monoid__add) ).
fof(c_0_714_715,axiom,
! [X1] :
( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Ozero__neq__one) ).
fof(c_0_715_716,axiom,
! [X1] :
( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oordered__idom) ).
fof(c_0_716_717,axiom,
! [X1] :
( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono1) ).
fof(c_0_717_718,axiom,
! [X1] :
( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Oab__group__add) ).
fof(c_0_718_719,axiom,
! [X1] :
( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Omult__zero) ).
fof(c_0_719_720,axiom,
! [X1] :
( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Omult__mono) ).
fof(c_0_720_721,axiom,
! [X1] :
( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__mult) ).
fof(c_0_721_722,axiom,
! [X1] :
( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Osemiring) ).
fof(c_0_722_723,axiom,
! [X1] :
( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Omonoid__add) ).
fof(c_0_723_724,axiom,
! [X1] :
( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__OrderedGroup_Ogroup__add) ).
fof(c_0_724_725,axiom,
! [X1] :
( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oabs__if) ).
fof(c_0_725_726,axiom,
! [X1] :
( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oring) ).
fof(c_0_726_727,axiom,
! [X1] :
( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Ring__and__Field_Oidom) ).
fof(c_0_727_728,axiom,
! [X1] :
( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Orderings_Opreorder) ).
fof(c_0_728_729,axiom,
! [X1] :
( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Orderings_Olinorder) ).
fof(c_0_729_730,axiom,
! [X1] :
( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Orderings_Oorder) ).
fof(c_0_730,axiom,
! [X1] :
( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Int_Onumber__ring) ).
fof(c_0_731,axiom,
! [X1] :
( class_Power_Opower(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__Power_Opower) ).
fof(c_0_732,axiom,
! [X1] :
( class_HOL_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
file('<stdin>',clsarity_Polynomial__Opoly__HOL_Ozero) ).
fof(c_0_733,axiom,
! [X4,X5] :
( c_NthRoot_Osqrt(X5) != c_NthRoot_Osqrt(X4)
| X5 = X4 ),
file('<stdin>',cls_real__sqrt__eq__iff_0) ).
fof(c_0_734,axiom,
! [X4,X5] :
( c_Complex_Ocnj(X5) != c_Complex_Ocnj(X4)
| X5 = X4 ),
file('<stdin>',cls_complex__cnj__cancel__iff_0) ).
fof(c_0_735,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_736,axiom,
! [X2] :
( c_Complex_Ocnj(X2) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X2 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
file('<stdin>',cls_complex__cnj__zero__iff_0) ).
fof(c_0_737,plain,
! [X4,X5,X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X10,X6),c_HOL_Ominus__class_Ominus(X4,X9,X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X10,X6),X9,X6),X6),c_HOL_Otimes__class_Otimes(X10,c_HOL_Ominus__class_Ominus(X4,X9,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_738,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X16,X15,X6),X6),X6),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X16,X6),X6),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X9,X15,X6),X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_739,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X16,X15,X6),X6),X6),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X16,X6),X6),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X9,X15,X6),X6),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_740,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6)
| ~ c_lessequals(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_741,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X15,X6) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_742,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X15,X6) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_743,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_744,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_745,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X15,X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_746,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X15,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_747,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_748,plain,
! [X3] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_11]) ).
fof(c_0_749,plain,
! [X3] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_12]) ).
fof(c_0_750,plain,
! [X2] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_13]) ).
fof(c_0_751,plain,
! [X2] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_752,plain,
! [X2] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_15]) ).
fof(c_0_753,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_16]) ).
fof(c_0_754,plain,
! [X20,X15,X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6) ),
inference(fof_simplification,[status(thm)],[c_0_17]) ).
fof(c_0_755,plain,
! [X20,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_18]) ).
fof(c_0_756,plain,
! [X2,X8,X15,X10] :
( c_lessequals(X15,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X10,X8,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X10,X15,X8),c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(fof_simplification,[status(thm)],[c_0_19]) ).
fof(c_0_757,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| X4 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_20]) ).
fof(c_0_758,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_21]) ).
fof(c_0_759,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_22]) ).
fof(c_0_760,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X5,X4,X6),c_Orderings_Oord__class_Omin(X5,X2,X6),X6),c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omax(X4,X2,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_23]) ).
fof(c_0_761,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X5,X4,X6),c_Orderings_Oord__class_Omax(X5,X2,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_24]) ).
fof(c_0_762,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X9,X6),X20,X6),X16,X6) = X15 ),
inference(fof_simplification,[status(thm)],[c_0_25]) ).
fof(c_0_763,plain,
! [X20,X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),X16,X6) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X15,X6)
| X16 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X9,X10,X6),X20,X6),X15,X6) ),
inference(fof_simplification,[status(thm)],[c_0_26]) ).
fof(c_0_764,plain,
! [X20,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Osemiring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X20,X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X20,X6),X16,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X9,X6),X20,X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_27]) ).
fof(c_0_765,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X15,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| X16 = X15
| X10 = X9 ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_766,plain,
! [X2,X4,X5,X3,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X4,X6),c_HOL_Otimes__class_Otimes(X5,X2,X6),X6) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X3,X2,X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6)
| X4 = X2
| X3 = X5 ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_767,plain,
! [X5,X14,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X10,X6),X6),X14,X6)
| ~ c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X10,X14,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X10,X14,X6),X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_768,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_769,plain,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X10,X6),c_RealVector_Onorm__class_Onorm(X9,X6),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_770,plain,
! [X3,X14,X8] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X8,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(X8,X14),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X8,X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),X14,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_771,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_772,plain,
! [X8,X16,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_HOL_Oplus__class_Oplus(X8,c_Polynomial_Osmult(X16,c_Polynomial_Osynthetic__div(X8,X16,X6),X6),tc_Polynomial_Opoly(X6)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X8,X16,X6),c_Polynomial_Osynthetic__div(X8,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_773,plain,
! [X4,X5,X33,X14,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6),c_HOL_Oplus__class_Oplus(X14,X33,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X6),X33,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X6),X14,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_774,plain,
! [X4,X5,X33,X14,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6),c_HOL_Otimes__class_Otimes(X14,X33,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X4,X6),X33,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X6),X14,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_775,plain,
! [X29,X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(X30,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),X29,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_776,plain,
! [X29,X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X32,c_HOL_Otimes__class_Otimes(X30,X29,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_777,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_40]) ).
fof(c_0_778,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_41]) ).
fof(c_0_779,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_42]) ).
fof(c_0_780,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_43]) ).
fof(c_0_781,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_782,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_783,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),c_HOL_Otimes__class_Otimes(X16,X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X9,X6),X15,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_784,plain,
! [X5,X14,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X10,X14,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X10,X6),X6),X14,X6) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_785,plain,
! [X5,X14,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X5,c_HOL_Oplus__class_Oplus(X10,X14,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X5,X10,X6),X6),X14,X6) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_786,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),X6)
| X4 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_49]) ).
fof(c_0_787,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_50]) ).
fof(c_0_788,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_51]) ).
fof(c_0_789,plain,
! [X17,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X10,X17,X6),c_Power_Opower__class_Opower(X9,X17,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_52]) ).
fof(c_0_790,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_791,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_54]) ).
fof(c_0_792,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_55]) ).
fof(c_0_793,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_56]) ).
fof(c_0_794,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_lessequals(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_57]) ).
fof(c_0_795,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_lessequals(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_58]) ).
fof(c_0_796,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_59]) ).
fof(c_0_797,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X9,X10,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_798,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_799,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_800,axiom,
! [X4,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(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_63 ).
fof(c_0_801,axiom,
! [X4,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(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_64 ).
fof(c_0_802,plain,
! [X7,X8,X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X10,X8,X6),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X8,X7,tc_Polynomial_Opoly(X6)),X6) ),
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_803,plain,
! [X2,X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_804,plain,
! [X2,X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X5,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,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(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_805,plain,
! [X2,X4,X5] :
( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,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(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_806,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_807,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_808,plain,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Otimes__class_Otimes(X5,X2,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X2,X6),c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_809,plain,
! [X5,X15,X16,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X16,X6),c_HOL_Otimes__class_Otimes(X5,X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X15,X6),c_HOL_Otimes__class_Otimes(X5,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_810,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_811,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_812,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_813,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_814,plain,
! [X29,X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X30,X6),c_HOL_Otimes__class_Otimes(X32,X29,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_815,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X16,X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_816,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ominus__class_Ominus(X16,X15,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_79]) ).
fof(c_0_817,plain,
! [X5,X8,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X10,X8,X6),X5,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Otimes__class_Otimes(X5,c_Polynomial_Opoly(X8,X5,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_80]) ).
fof(c_0_818,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_81]) ).
fof(c_0_819,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_82]) ).
fof(c_0_820,plain,
! [X5,X14,X15,X16,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X14,X16,X6),X6) != c_HOL_Oplus__class_Oplus(X5,c_HOL_Otimes__class_Otimes(X14,X15,X6),X6)
| X16 = X15
| X14 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_83]) ).
fof(c_0_821,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Olordered__ring(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_84]) ).
fof(c_0_822,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_85]) ).
fof(c_0_823,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X10,X9,X6),X6),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_86]) ).
fof(c_0_824,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_87]) ).
fof(c_0_825,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_lessequals(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_88]) ).
fof(c_0_826,plain,
! [X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_89]) ).
fof(c_0_827,plain,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X10,X6),c_RealVector_Onorm__class_Onorm(X9,X6),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_90]) ).
fof(c_0_828,plain,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X10,X6),c_RealVector_Onorm__class_Onorm(X9,X6),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X10,X9,X6),X6),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_91]) ).
fof(c_0_829,plain,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X10,X6),c_RealVector_Onorm__class_Onorm(X9,X6),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_830,plain,
! [X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_831,plain,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X8,X7,tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_832,plain,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X10,X9,X6)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_833,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_834,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_835,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_836,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_837,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
| c_lessequals(X10,c_HOL_Oplus__class_Oplus(X16,c_HOL_Oabs__class_Oabs(X9,X6),X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_838,plain,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(X8,X7,tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_839,plain,
! [X4,X5,X16,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X6),c_HOL_Otimes__class_Otimes(X16,c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_840,plain,
! [X8,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X16,X8,X6),c_Polynomial_OpCons(X10,X8,X6),tc_Polynomial_Opoly(X6)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_841,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Omult__mono1(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_842,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Omult__mono(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_843,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Omult__mono(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_844,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_845,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_846,plain,
! [X17,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_lessequals(c_Power_Opower__class_Opower(X10,X17,X6),c_Power_Opower__class_Opower(X9,X17,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_847,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_848,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_lessequals(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_111]) ).
fof(c_0_849,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_112]) ).
fof(c_0_850,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_113]) ).
fof(c_0_851,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_114]) ).
fof(c_0_852,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_115]) ).
fof(c_0_853,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_116]) ).
fof(c_0_854,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_117]) ).
fof(c_0_855,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_118]) ).
fof(c_0_856,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_119]) ).
fof(c_0_857,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_120]) ).
fof(c_0_858,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_121]) ).
fof(c_0_859,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X16,X10,X6),c_HOL_Otimes__class_Otimes(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X16,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_122]) ).
fof(c_0_860,plain,
! [X5,X17,X6] :
( ~ class_RealVector_Oreal__normed__algebra__1(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X5,X17,X6),X6),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X5,X6),X17,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_123]) ).
fof(c_0_861,plain,
! [X7,X8,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X10,c_HOL_Oplus__class_Oplus(X8,X7,tc_Polynomial_Opoly(X6)),X6) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X10,X8,X6),c_Polynomial_Osmult(X10,X7,X6),tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_124]) ).
fof(c_0_862,plain,
! [X5,X7,X8,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X8,X7,tc_Polynomial_Opoly(X6)),X5,X6) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X8,X5,X6),c_Polynomial_Opoly(X7,X5,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_125]) ).
fof(c_0_863,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_126]) ).
fof(c_0_864,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_127]) ).
fof(c_0_865,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_lessequals(X16,X15,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_128]) ).
fof(c_0_866,plain,
! [X15,X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X15,X6),X6)
| ~ c_HOL_Oord__class_Oless(X16,X15,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_129]) ).
fof(c_0_867,plain,
! [X4,X5,X16] :
( 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(X16,c_HOL_Oabs__class_Oabs(X4,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X16,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_130]) ).
fof(c_0_868,plain,
! [X8,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X10,X9,X6),X8,X6) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X10,X8,X6),c_Polynomial_Osmult(X9,X8,X6),tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_131]) ).
fof(c_0_869,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6) != c_HOL_Ozero__class_Ozero(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_132]) ).
fof(c_0_870,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,X6),c_HOL_Otimes__class_Otimes(X4,X4,X6),X6) != c_HOL_Ozero__class_Ozero(X6)
| X4 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_133]) ).
fof(c_0_871,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X4,X2,X6),X5,X6) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X4,X5,X6),c_Orderings_Oord__class_Omin(X2,X5,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_134]) ).
fof(c_0_872,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omax(X4,X2,X6),X6) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X5,X4,X6),c_Orderings_Oord__class_Omin(X5,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_135]) ).
fof(c_0_873,plain,
! [X8,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X10,c_Polynomial_OpCons(X9,X8,X6),X6) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_Polynomial_Osmult(X10,X8,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_136]) ).
fof(c_0_874,plain,
! [X4,X5,X7,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X5,X4,X6),X7,X6) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X5,X7,X6),c_Power_Opower__class_Opower(X4,X7,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_137]) ).
fof(c_0_875,plain,
! [X17,X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X6)
| c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X10,X9,X6),X17,X6) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X10,X17,X6),c_Power_Opower__class_Opower(X9,X17,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_138]) ).
fof(c_0_876,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X5,X4,X6),c_Orderings_Oord__class_Omax(X5,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_139]) ).
fof(c_0_877,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X4,X2,X6),X5,X6) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X4,X5,X6),c_Orderings_Oord__class_Omax(X2,X5,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_140]) ).
fof(c_0_878,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_141]) ).
fof(c_0_879,plain,
! [X4,X27,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X27,c_HOL_Oplus__class_Oplus(X5,X4,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X27,X5,X6),c_HOL_Otimes__class_Otimes(X27,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_142]) ).
fof(c_0_880,plain,
! [X26,X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Oplus__class_Oplus(X9,X26,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Otimes__class_Otimes(X10,X26,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_143]) ).
fof(c_0_881,plain,
! [X24,X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X5,X4,X6),X24,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X24,X6),c_HOL_Otimes__class_Otimes(X4,X24,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_144]) ).
fof(c_0_882,plain,
! [X9,X25,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X25,X6),X9,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Otimes__class_Otimes(X25,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_145]) ).
fof(c_0_883,plain,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X4,X6),c_HOL_Otimes__class_Otimes(X5,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_146]) ).
fof(c_0_884,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X16,X6),c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_147]) ).
fof(c_0_885,plain,
! [X28,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X28,X6),c_HOL_Otimes__class_Otimes(X9,X28,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X10,X9,X6),X28,X6) ),
inference(fof_simplification,[status(thm)],[c_0_148]) ).
fof(c_0_886,plain,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X5,X2,X6),c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_149]) ).
fof(c_0_887,plain,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X5,X2,X6),c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_150]) ).
fof(c_0_888,plain,
! [X4,X27,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X27,c_HOL_Ominus__class_Ominus(X5,X4,X6),X6) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X27,X5,X6),c_HOL_Otimes__class_Otimes(X27,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_151]) ).
fof(c_0_889,plain,
! [X26,X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ominus__class_Ominus(X9,X26,X6),X6) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Otimes__class_Otimes(X10,X26,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_152]) ).
fof(c_0_890,plain,
! [X9,X25,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X10,X25,X6),X9,X6) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Otimes__class_Otimes(X25,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_153]) ).
fof(c_0_891,plain,
! [X24,X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X5,X4,X6),X24,X6) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X5,X24,X6),c_HOL_Otimes__class_Otimes(X4,X24,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_154]) ).
fof(c_0_892,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X16,X6) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_155]) ).
fof(c_0_893,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X10,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_156]) ).
fof(c_0_894,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X6)
| c_HOL_Oplus__class_Oplus(X10,c_Lattices_Olower__semilattice__class_Oinf(X9,X16,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Oplus__class_Oplus(X10,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_157]) ).
fof(c_0_895,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X6)
| c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X16,X6) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_158]) ).
fof(c_0_896,plain,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X5,X2,X6),c_HOL_Ominus__class_Ominus(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_159]) ).
fof(c_0_897,plain,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X5,X2,X6),c_HOL_Ominus__class_Ominus(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_160]) ).
fof(c_0_898,plain,
! [X8,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X10,X8,X6),X16,X6) = c_Polynomial_OpCons(c_Polynomial_Opoly(X8,X16,X6),c_Polynomial_Osynthetic__div(X8,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_161]) ).
fof(c_0_899,plain,
! [X2,X4,X5] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X2,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_162]) ).
fof(c_0_900,plain,
! [X2,X4,X5] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X5,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_163]) ).
fof(c_0_901,plain,
! [X2,X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_164]) ).
fof(c_0_902,plain,
! [X2,X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X5,X2,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X2,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_165]) ).
fof(c_0_903,plain,
! [X2,X14,X8] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X8,X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X8,X14),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),X14,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_166]) ).
fof(c_0_904,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X9,X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_167]) ).
fof(c_0_905,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_168]) ).
fof(c_0_906,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_169]) ).
fof(c_0_907,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_170]) ).
fof(c_0_908,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_171]) ).
fof(c_0_909,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_172]) ).
fof(c_0_910,plain,
! [X7,X9,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X7,tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X6),X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_173]) ).
fof(c_0_911,plain,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(X8,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_174]) ).
fof(c_0_912,axiom,
! [X4,X5] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,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_175 ).
fof(c_0_913,axiom,
! [X4,X5] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_176 ).
fof(c_0_914,plain,
! [X14,X7,X8,X16,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_HOL_Oplus__class_Oplus(X8,c_Polynomial_Osmult(X16,X7,X6),tc_Polynomial_Opoly(X6)) != c_Polynomial_OpCons(X14,X7,X6)
| X7 = c_Polynomial_Osynthetic__div(X8,X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_177]) ).
fof(c_0_915,plain,
! [X14,X7,X8,X16,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_HOL_Oplus__class_Oplus(X8,c_Polynomial_Osmult(X16,X7,X6),tc_Polynomial_Opoly(X6)) != c_Polynomial_OpCons(X14,X7,X6)
| X14 = c_Polynomial_Opoly(X8,X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_178]) ).
fof(c_0_916,plain,
! [X2,X4,X5,X21,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) != c_HOL_Oplus__class_Oplus(X4,X21,X6)
| c_HOL_Oplus__class_Oplus(X5,X2,X6) = X21 ),
inference(fof_simplification,[status(thm)],[c_0_179]) ).
fof(c_0_917,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_180]) ).
fof(c_0_918,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_181]) ).
fof(c_0_919,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_182]) ).
fof(c_0_920,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_183]) ).
fof(c_0_921,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_184]) ).
fof(c_0_922,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_185]) ).
fof(c_0_923,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_186]) ).
fof(c_0_924,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_187]) ).
fof(c_0_925,plain,
! [X7,X9,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X7,tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_188]) ).
fof(c_0_926,plain,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X8,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_189]) ).
fof(c_0_927,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_190]) ).
fof(c_0_928,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,X4,X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_191]) ).
fof(c_0_929,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X2,X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_192]) ).
fof(c_0_930,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,X2,X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_193]) ).
fof(c_0_931,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X2,X4,X6)
| c_lessequals(X2,X5,X6)
| ~ c_lessequals(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_194]) ).
fof(c_0_932,plain,
! [X7,X9,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),c_Polynomial_OpCons(X9,X7,X6),tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_195]) ).
fof(c_0_933,plain,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X10,X8,X6),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_196]) ).
fof(c_0_934,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_197]) ).
fof(c_0_935,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_198]) ).
fof(c_0_936,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X9,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_199]) ).
fof(c_0_937,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_200]) ).
fof(c_0_938,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_201]) ).
fof(c_0_939,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_202]) ).
fof(c_0_940,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_203]) ).
fof(c_0_941,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_204]) ).
fof(c_0_942,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_205]) ).
fof(c_0_943,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__ring(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_206]) ).
fof(c_0_944,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_207]) ).
fof(c_0_945,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_208]) ).
fof(c_0_946,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_209]) ).
fof(c_0_947,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_210]) ).
fof(c_0_948,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_211]) ).
fof(c_0_949,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_212]) ).
fof(c_0_950,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_213]) ).
fof(c_0_951,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_214]) ).
fof(c_0_952,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_215]) ).
fof(c_0_953,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_216]) ).
fof(c_0_954,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X6)
| c_lessequals(c_HOL_Otimes__class_Otimes(X9,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_217]) ).
fof(c_0_955,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_218]) ).
fof(c_0_956,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_219]) ).
fof(c_0_957,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_220]) ).
fof(c_0_958,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_221]) ).
fof(c_0_959,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X9,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_222]) ).
fof(c_0_960,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_223]) ).
fof(c_0_961,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_224]) ).
fof(c_0_962,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_225]) ).
fof(c_0_963,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_226]) ).
fof(c_0_964,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_227]) ).
fof(c_0_965,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_228]) ).
fof(c_0_966,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X16,X6),c_HOL_Oplus__class_Oplus(X9,X16,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_229]) ).
fof(c_0_967,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X16,X10,X6),c_HOL_Oplus__class_Oplus(X16,X9,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_230]) ).
fof(c_0_968,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_lessequals(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_lessequals(X9,X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X16,X6) ),
inference(fof_simplification,[status(thm)],[c_0_231]) ).
fof(c_0_969,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_lessequals(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_lessequals(X9,X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_232]) ).
fof(c_0_970,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oord__class_Oless(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X16,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_233]) ).
fof(c_0_971,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X6)
| ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oord__class_Oless(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_lessequals(X9,X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_234]) ).
fof(c_0_972,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_235]) ).
fof(c_0_973,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_HOL_Oord__class_Oless(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,X16,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_236]) ).
fof(c_0_974,plain,
! [X2,X4,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X2,X5,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X2,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_237]) ).
fof(c_0_975,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6)
| ~ c_HOL_Oord__class_Oless(X4,X2,X6)
| ~ c_HOL_Oord__class_Oless(X5,X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_238]) ).
fof(c_0_976,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X5,X4,X6),X6)
| ~ c_HOL_Oord__class_Oless(X2,X4,X6)
| ~ c_HOL_Oord__class_Oless(X2,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_239]) ).
fof(c_0_977,plain,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6)
| ~ c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_240]) ).
fof(c_0_978,plain,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6)
| ~ c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_241]) ).
fof(c_0_979,plain,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X6)
| ~ c_lessequals(X5,X9,X6)
| ~ c_lessequals(X5,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_242]) ).
fof(c_0_980,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6)
| ~ c_lessequals(X4,X2,X6)
| ~ c_lessequals(X5,X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_243]) ).
fof(c_0_981,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(X4,X2,X6),X5,X6)
| ~ c_lessequals(X2,X5,X6)
| ~ c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_244]) ).
fof(c_0_982,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omax(X10,X9,X6),X5,X6)
| ~ c_lessequals(X9,X5,X6)
| ~ c_lessequals(X10,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_245]) ).
fof(c_0_983,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6)
| ~ c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_246]) ).
fof(c_0_984,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6)
| ~ c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_247]) ).
fof(c_0_985,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omin(X10,X9,X6),X6)
| ~ c_lessequals(X5,X9,X6)
| ~ c_lessequals(X5,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_248]) ).
fof(c_0_986,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_249]) ).
fof(c_0_987,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,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_250]) ).
fof(c_0_988,plain,
! [X5,X17,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6)
| c_lessequals(X5,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_Power_Opower__class_Opower(X5,X17,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_251]) ).
fof(c_0_989,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_252]) ).
fof(c_0_990,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_253]) ).
fof(c_0_991,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_254]) ).
fof(c_0_992,plain,
! [X5,X17,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_Power_Opower__class_Opower(X5,X17,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_255]) ).
fof(c_0_993,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_256]) ).
fof(c_0_994,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_257]) ).
fof(c_0_995,plain,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_258]) ).
fof(c_0_996,plain,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X2,X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_259]) ).
fof(c_0_997,plain,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(X4,c_Lattices_Olower__semilattice__class_Oinf(X5,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_260]) ).
fof(c_0_998,plain,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X2,X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_261]) ).
fof(c_0_999,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X10,X9,X6),X16,X6) = c_HOL_Otimes__class_Otimes(X10,c_HOL_Otimes__class_Otimes(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_262]) ).
fof(c_0_1000,plain,
! [X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),X30,X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X30,X6),X32,X6) ),
inference(fof_simplification,[status(thm)],[c_0_263]) ).
fof(c_0_1001,plain,
! [X30,X32,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X32,X6),X30,X6) = c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X32,X30,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_264]) ).
fof(c_0_1002,plain,
! [X29,X30,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X31,X30,X6),X29,X6) ),
inference(fof_simplification,[status(thm)],[c_0_265]) ).
fof(c_0_1003,plain,
! [X29,X30,X31,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X31,c_HOL_Otimes__class_Otimes(X30,X29,X6),X6) = c_HOL_Otimes__class_Otimes(X30,c_HOL_Otimes__class_Otimes(X31,X29,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_266]) ).
fof(c_0_1004,plain,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X4,X2,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X5,X4,X6),X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_267]) ).
fof(c_0_1005,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) = c_HOL_Oplus__class_Oplus(X9,c_HOL_Oplus__class_Oplus(X10,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_268]) ).
fof(c_0_1006,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_269]) ).
fof(c_0_1007,plain,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X5,X4,X6),X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_270]) ).
fof(c_0_1008,plain,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) = c_HOL_Oplus__class_Oplus(X4,c_HOL_Oplus__class_Oplus(X5,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_271]) ).
fof(c_0_1009,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Oab__semigroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_272]) ).
fof(c_0_1010,plain,
! [X15,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X16,X15,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X16,X6),X15,X6) ),
inference(fof_simplification,[status(thm)],[c_0_273]) ).
fof(c_0_1011,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X16,X6),X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_274]) ).
fof(c_0_1012,plain,
! [X15,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X16,X15,X6),X6) = c_HOL_Oplus__class_Oplus(X16,c_HOL_Oplus__class_Oplus(X10,X15,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_275]) ).
fof(c_0_1013,plain,
! [X16,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X16,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(X9,X16,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_276]) ).
fof(c_0_1014,plain,
! [X5,X8,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_Polynomial_Osmult(X10,X8,X6),X5,X6) = c_HOL_Otimes__class_Otimes(X10,c_Polynomial_Opoly(X8,X5,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_277]) ).
fof(c_0_1015,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_278]) ).
fof(c_0_1016,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) = c_Orderings_Oord__class_Omin(X4,c_Orderings_Oord__class_Omin(X5,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_279]) ).
fof(c_0_1017,plain,
! [X17,X10,X6] :
( ~ class_OrderedGroup_Omonoid__mult(X6)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X10,X17,X6),X10,X6) = c_HOL_Otimes__class_Otimes(X10,c_Power_Opower__class_Opower(X10,X17,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_280]) ).
fof(c_0_1018,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omax(X4,X2,X6),X6) = c_Orderings_Oord__class_Omax(X4,c_Orderings_Oord__class_Omax(X5,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_281]) ).
fof(c_0_1019,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) = c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omax(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_282]) ).
fof(c_0_1020,plain,
! [X8,X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X10,c_Polynomial_Osmult(X9,X8,X6),X6) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X10,X9,X6),X8,X6) ),
inference(fof_simplification,[status(thm)],[c_0_283]) ).
fof(c_0_1021,plain,
! [X5,X7,X8,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_Polynomial_Opcompose(X8,X7,X6),X5,X6) = c_Polynomial_Opoly(X8,c_Polynomial_Opoly(X7,X5,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_284]) ).
fof(c_0_1022,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_285]) ).
fof(c_0_1023,plain,
! [X4,X5] :
( c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_286]) ).
fof(c_0_1024,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_287]) ).
fof(c_0_1025,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_288]) ).
fof(c_0_1026,plain,
! [X4,X5] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_289]) ).
fof(c_0_1027,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_290]) ).
fof(c_0_1028,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_291]) ).
fof(c_0_1029,plain,
! [X18,X4,X19,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X19,X18,X6) ),
inference(fof_simplification,[status(thm)],[c_0_292]) ).
fof(c_0_1030,plain,
! [X18,X4,X19,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| c_HOL_Oord__class_Oless(X19,X18,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_293]) ).
fof(c_0_1031,plain,
! [X18,X4,X19,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| c_lessequals(X18,X19,X6)
| ~ c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_294]) ).
fof(c_0_1032,plain,
! [X18,X4,X19,X5,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| c_lessequals(X4,X5,X6)
| ~ c_lessequals(X18,X19,X6) ),
inference(fof_simplification,[status(thm)],[c_0_295]) ).
fof(c_0_1033,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X2,X6)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_296]) ).
fof(c_0_1034,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_297]) ).
fof(c_0_1035,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,X4,X6)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X5,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_298]) ).
fof(c_0_1036,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omin(X5,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_299]) ).
fof(c_0_1037,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,X2,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_300]) ).
fof(c_0_1038,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X5,X4,X6),X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_301]) ).
fof(c_0_1039,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X9,X5,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X10,X9,X6),X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_302]) ).
fof(c_0_1040,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X10,X5,X6)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X10,X9,X6),X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_303]) ).
fof(c_0_1041,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_304]) ).
fof(c_0_1042,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X4,X6)
| ~ c_lessequals(X5,c_Orderings_Oord__class_Omin(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_305]) ).
fof(c_0_1043,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X9,X6)
| ~ c_lessequals(X5,c_Orderings_Oord__class_Omin(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_306]) ).
fof(c_0_1044,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,X10,X6)
| ~ c_lessequals(X5,c_Orderings_Oord__class_Omin(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_307]) ).
fof(c_0_1045,plain,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_308]) ).
fof(c_0_1046,plain,
! [X2,X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,X4,X6)
| ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X4,X2,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_309]) ).
fof(c_0_1047,plain,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,X9,X6)
| ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_310]) ).
fof(c_0_1048,plain,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(X5,X10,X6)
| ~ c_lessequals(X5,c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_311]) ).
fof(c_0_1049,plain,
! [X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_312]) ).
fof(c_0_1050,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X4,X6),X5,X6) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X4,X5,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_313]) ).
fof(c_0_1051,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_314]) ).
fof(c_0_1052,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_315]) ).
fof(c_0_1053,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_316]) ).
fof(c_0_1054,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_317]) ).
fof(c_0_1055,plain,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X10,X6),X17,X6),X6) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X10,X17,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_318]) ).
fof(c_0_1056,plain,
! [X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| X4 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_319]) ).
fof(c_0_1057,plain,
! [X4,X5,X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X4,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X5,X6)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_320]) ).
fof(c_0_1058,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_321]) ).
fof(c_0_1059,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_322]) ).
fof(c_0_1060,plain,
! [X4,X5] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_323]) ).
fof(c_0_1061,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_324]) ).
fof(c_0_1062,plain,
! [X5,X14] :
( c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X14,tc_RealDef_Oreal)
| ~ c_lessequals(X5,X14,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X14,tc_RealDef_Oreal),X5,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_325]) ).
fof(c_0_1063,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X4,c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_326]) ).
fof(c_0_1064,plain,
! [X4,X5] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_327]) ).
fof(c_0_1065,plain,
! [X2,X4,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X5,c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) != X4
| X5 = c_HOL_Ouminus__class_Ouminus(X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_328]) ).
fof(c_0_1066,plain,
! [X8,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| c_Polynomial_Opos__poly(X8,X6)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X10,X8,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_329]) ).
fof(c_0_1067,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_330]) ).
fof(c_0_1068,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_331]) ).
fof(c_0_1069,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_332]) ).
fof(c_0_1070,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_333]) ).
fof(c_0_1071,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oplus__class_Oplus(X10,X10,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_334]) ).
fof(c_0_1072,plain,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_Power_Opower__class_Opower(X10,X17,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_335]) ).
fof(c_0_1073,plain,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_Power_Opower__class_Opower(X10,X17,X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_336]) ).
fof(c_0_1074,plain,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__semidom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_Power_Opower__class_Opower(X10,X17,X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_337]) ).
fof(c_0_1075,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Oplus__class_Oplus(X10,X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_338]) ).
fof(c_0_1076,axiom,
! [X4,X5] :
( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_339 ).
fof(c_0_1077,axiom,
! [X4,X5] :
( c_HOL_Otimes__class_Otimes(X5,X5,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X4,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X4 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_340 ).
fof(c_0_1078,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_341]) ).
fof(c_0_1079,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X10,X9,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_342]) ).
fof(c_0_1080,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X10,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_343]) ).
fof(c_0_1081,plain,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(X9,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_344]) ).
fof(c_0_1082,plain,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(X10,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_345]) ).
fof(c_0_1083,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6)
| ~ c_HOL_Oord__class_Oless(X2,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_346]) ).
fof(c_0_1084,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6)
| ~ c_HOL_Oord__class_Oless(X2,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_347]) ).
fof(c_0_1085,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,c_Orderings_Oord__class_Omax(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_348]) ).
fof(c_0_1086,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,c_Orderings_Oord__class_Omax(X10,X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X5,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_349]) ).
fof(c_0_1087,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6)
| ~ c_HOL_Oord__class_Oless(X4,X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_350]) ).
fof(c_0_1088,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6)
| ~ c_HOL_Oord__class_Oless(X5,X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_351]) ).
fof(c_0_1089,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X10,X9,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(X9,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_352]) ).
fof(c_0_1090,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X10,X9,X6),X5,X6)
| ~ c_HOL_Oord__class_Oless(X10,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_353]) ).
fof(c_0_1091,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6)
| ~ c_lessequals(X2,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_354]) ).
fof(c_0_1092,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X2,c_Orderings_Oord__class_Omax(X5,X4,X6),X6)
| ~ c_lessequals(X2,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_355]) ).
fof(c_0_1093,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omax(X10,X9,X6),X6)
| ~ c_lessequals(X5,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_356]) ).
fof(c_0_1094,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omax(X10,X9,X6),X6)
| ~ c_lessequals(X5,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_357]) ).
fof(c_0_1095,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6)
| ~ c_lessequals(X4,X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_358]) ).
fof(c_0_1096,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X2,X6)
| ~ c_lessequals(X5,X2,X6) ),
inference(fof_simplification,[status(thm)],[c_0_359]) ).
fof(c_0_1097,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X10,X9,X6),X5,X6)
| ~ c_lessequals(X9,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_360]) ).
fof(c_0_1098,plain,
! [X5,X9,X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X10,X9,X6),X5,X6)
| ~ c_lessequals(X10,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_361]) ).
fof(c_0_1099,plain,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X5,X6)
| ~ c_lessequals(X9,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_362]) ).
fof(c_0_1100,plain,
! [X5,X9,X10,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X10,X9,X6),X5,X6)
| ~ c_lessequals(X10,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_363]) ).
fof(c_0_1101,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X9,X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_364]) ).
fof(c_0_1102,plain,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X9,X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_365]) ).
fof(c_0_1103,plain,
! [X4,X5] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X5,X4,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_366]) ).
fof(c_0_1104,plain,
! [X4,X5,X6] :
( ~ class_SEQ_Obanach(X6)
| ~ class_RealVector_Oreal__normed__field(X6)
| c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X5,X6),c_Transcendental_Oexp(X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_367]) ).
fof(c_0_1105,plain,
! [X4,X5,X6] :
( ~ class_SEQ_Obanach(X6)
| ~ class_RealVector_Oreal__normed__field(X6)
| c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X5,X6),c_Transcendental_Oexp(X4,X6),X6) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X5,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_368]) ).
fof(c_0_1106,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_HOL_Oord__class_Oless(X2,X4,X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_369]) ).
fof(c_0_1107,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_HOL_Oord__class_Oless(X4,X2,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_370]) ).
fof(c_0_1108,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_lessequals(X2,X4,X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_371]) ).
fof(c_0_1109,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X2,X5,X6)
| ~ c_HOL_Oord__class_Oless(X2,X4,X6)
| ~ c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_372]) ).
fof(c_0_1110,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_lessequals(X4,X2,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_373]) ).
fof(c_0_1111,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_HOL_Oord__class_Oless(X5,X2,X6)
| ~ c_HOL_Oord__class_Oless(X4,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_374]) ).
fof(c_0_1112,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_lessequals(X2,X5,X6)
| ~ c_lessequals(X2,X4,X6)
| ~ c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_375]) ).
fof(c_0_1113,plain,
! [X2,X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_lessequals(X5,X2,X6)
| ~ c_lessequals(X4,X2,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_376]) ).
fof(c_0_1114,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_377]) ).
fof(c_0_1115,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_378]) ).
fof(c_0_1116,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_379]) ).
fof(c_0_1117,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X6) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_380]) ).
fof(c_0_1118,plain,
! [X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__div__algebra(X6)
| c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X5,X6),c_RealVector_Onorm__class_Onorm(X4,X6),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_381]) ).
fof(c_0_1119,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_382]) ).
fof(c_0_1120,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_383]) ).
fof(c_0_1121,plain,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X10,X6),X17,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_384]) ).
fof(c_0_1122,plain,
! [X8,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| c_Polynomial_Opos__poly(X8,X6)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X10,X8,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_385]) ).
fof(c_0_1123,plain,
! [X4,X5,X6] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X6)
| c_HOL_Otimes__class_Otimes(X5,c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) = c_HOL_Otimes__class_Otimes(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_386]) ).
fof(c_0_1124,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omin(X5,X4,X6),X6) = c_Orderings_Oord__class_Omin(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_387]) ).
fof(c_0_1125,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) = c_Orderings_Oord__class_Omax(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_388]) ).
fof(c_0_1126,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_389]) ).
fof(c_0_1127,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_390]) ).
fof(c_0_1128,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6),X6) = X9 ),
inference(fof_simplification,[status(thm)],[c_0_391]) ).
fof(c_0_1129,plain,
! [X11,X12,X13] :
( c_lessequals(X13,X11,tc_RealDef_Oreal)
| ~ c_lessequals(X12,X11,tc_RealDef_Oreal)
| ~ c_lessequals(X13,X12,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_392]) ).
fof(c_0_1130,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_393]) ).
fof(c_0_1131,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_394]) ).
fof(c_0_1132,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_395]) ).
fof(c_0_1133,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_396]) ).
fof(c_0_1134,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6)
| ~ c_HOL_Oord__class_Oless(X9,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_397]) ).
fof(c_0_1135,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X9,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_398]) ).
fof(c_0_1136,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_399]) ).
fof(c_0_1137,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,X6),X10,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_400]) ).
fof(c_0_1138,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6)
| ~ c_lessequals(X9,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_401]) ).
fof(c_0_1139,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X9,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_402]) ).
fof(c_0_1140,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_403]) ).
fof(c_0_1141,plain,
! [X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_404]) ).
fof(c_0_1142,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_405]) ).
fof(c_0_1143,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) = c_HOL_Otimes__class_Otimes(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_406]) ).
fof(c_0_1144,plain,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_407]) ).
fof(c_0_1145,plain,
! [X4,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X5,X6),X4,X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X5,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_408]) ).
fof(c_0_1146,plain,
! [X9,X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X10,X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_409]) ).
fof(c_0_1147,plain,
! [X27,X5,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X27,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X27,X5,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_410]) ).
fof(c_0_1148,plain,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X10,X17,X6),X6) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X10,X6),X17,X6) ),
inference(fof_simplification,[status(thm)],[c_0_411]) ).
fof(c_0_1149,plain,
! [X5,X17,X6] :
( ~ class_RealVector_Oreal__normed__div__algebra(X6)
| c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X5,X17,X6),X6) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X5,X6),X17,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_412]) ).
fof(c_0_1150,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_413]) ).
fof(c_0_1151,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_414]) ).
fof(c_0_1152,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_415]) ).
fof(c_0_1153,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_416]) ).
fof(c_0_1154,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| c_lessequals(X4,X5,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_417]) ).
fof(c_0_1155,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_418]) ).
fof(c_0_1156,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_419]) ).
fof(c_0_1157,plain,
! [X5,X14] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X14,tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X14,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_420]) ).
fof(c_0_1158,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_HOL_Otimes__class_Otimes(X10,X10,X6) != c_HOL_Otimes__class_Otimes(X9,X9,X6)
| X10 = c_HOL_Ouminus__class_Ouminus(X9,X6)
| X10 = X9 ),
inference(fof_simplification,[status(thm)],[c_0_421]) ).
fof(c_0_1159,plain,
! [X2,X4,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X2,X6),c_HOL_Oplus__class_Oplus(X4,X2,X6),X6) = X4 ),
inference(fof_simplification,[status(thm)],[c_0_422]) ).
fof(c_0_1160,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Oplus__class_Oplus(X10,X9,X6),X6) = X9 ),
inference(fof_simplification,[status(thm)],[c_0_423]) ).
fof(c_0_1161,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_424]) ).
fof(c_0_1162,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_425]) ).
fof(c_0_1163,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_426]) ).
fof(c_0_1164,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_427]) ).
fof(c_0_1165,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_428]) ).
fof(c_0_1166,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_429]) ).
fof(c_0_1167,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_430]) ).
fof(c_0_1168,plain,
! [X8,X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X16,X8,X6) != c_Polynomial_OpCons(X10,X8,X6)
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_431]) ).
fof(c_0_1169,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_432]) ).
fof(c_0_1170,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_433]) ).
fof(c_0_1171,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_434]) ).
fof(c_0_1172,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(X10,X9,X6)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_435]) ).
fof(c_0_1173,plain,
! [X2,X4,X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Oplus__class_Oplus(X5,X4,X6) != c_HOL_Oplus__class_Oplus(X5,X2,X6)
| X4 = X2 ),
inference(fof_simplification,[status(thm)],[c_0_436]) ).
fof(c_0_1174,plain,
! [X7,X8,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X8,X7,tc_Polynomial_Opoly(X6)),X6)
| ~ c_Polynomial_Opos__poly(X7,X6)
| ~ c_Polynomial_Opos__poly(X8,X6) ),
inference(fof_simplification,[status(thm)],[c_0_437]) ).
fof(c_0_1175,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_438]) ).
fof(c_0_1176,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_439]) ).
fof(c_0_1177,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_440]) ).
fof(c_0_1178,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_441]) ).
fof(c_0_1179,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_442]) ).
fof(c_0_1180,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_443]) ).
fof(c_0_1181,plain,
! [X4,X5] :
( c_lessequals(c_Transcendental_Oexp(X5,tc_RealDef_Oreal),c_Transcendental_Oexp(X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_444]) ).
fof(c_0_1182,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X10,X9,X6),X6) = c_HOL_Ominus__class_Ominus(X9,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_445]) ).
fof(c_0_1183,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| X5 = X4
| ~ c_lessequals(X5,X4,X6)
| ~ c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_446]) ).
fof(c_0_1184,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| X5 = X4
| ~ c_lessequals(X4,X5,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_447]) ).
fof(c_0_1185,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| X5 = X4
| ~ c_lessequals(X4,X5,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_448]) ).
fof(c_0_1186,plain,
! [X18,X19,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X5,X6) != c_HOL_Ominus__class_Ominus(X19,X18,X6)
| X19 = X18 ),
inference(fof_simplification,[status(thm)],[c_0_449]) ).
fof(c_0_1187,plain,
! [X4,X27,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X27,X4,X6) != c_HOL_Ominus__class_Ominus(X5,X5,X6)
| X27 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_450]) ).
fof(c_0_1188,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) != c_HOL_Oplus__class_Oplus(X10,X16,X6)
| X9 = X16 ),
inference(fof_simplification,[status(thm)],[c_0_451]) ).
fof(c_0_1189,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) != c_HOL_Oplus__class_Oplus(X10,X16,X6)
| X9 = X16 ),
inference(fof_simplification,[status(thm)],[c_0_452]) ).
fof(c_0_1190,plain,
! [X16,X9,X10,X6] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X6)
| c_HOL_Oplus__class_Oplus(X9,X10,X6) != c_HOL_Oplus__class_Oplus(X16,X10,X6)
| X9 = X16 ),
inference(fof_simplification,[status(thm)],[c_0_453]) ).
fof(c_0_1191,plain,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(X10,X8,X6) != c_Polynomial_OpCons(X9,X7,X6)
| X10 = X9 ),
inference(fof_simplification,[status(thm)],[c_0_454]) ).
fof(c_0_1192,plain,
! [X7,X8,X9,X10,X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(X10,X8,X6) != c_Polynomial_OpCons(X9,X7,X6)
| X8 = X7 ),
inference(fof_simplification,[status(thm)],[c_0_455]) ).
fof(c_0_1193,plain,
! [X9,X10,X6] :
( ~ class_Orderings_Opreorder(X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_456]) ).
fof(c_0_1194,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_457]) ).
fof(c_0_1195,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_458]) ).
fof(c_0_1196,plain,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| ~ c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_HOL_Oord__class_Oless(X9,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_459]) ).
fof(c_0_1197,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| ~ c_lessequals(X4,X5,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_460]) ).
fof(c_0_1198,plain,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_lessequals(X5,X5,X6)
| ~ c_HOL_Oord__class_Oless(X5,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_461]) ).
fof(c_0_1199,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_462]) ).
fof(c_0_1200,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_lessequals(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_463]) ).
fof(c_0_1201,axiom,
! [X2,X14] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X14,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X14,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
c_0_464 ).
fof(c_0_1202,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Otimes__class_Otimes(X10,X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_465]) ).
fof(c_0_1203,plain,
! [X5,X14] :
( c_lessequals(X5,X14,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X5,tc_RealDef_Oreal),X14,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_466]) ).
fof(c_0_1204,axiom,
! [X16,X9,X10] :
( c_HOL_Otimes__class_Otimes(X16,X10,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X16,X9,tc_RealDef_Oreal)
| X16 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X10 = X9 ),
c_0_467 ).
fof(c_0_1205,axiom,
! [X16,X9,X10] :
( c_HOL_Otimes__class_Otimes(X10,X16,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X9,X16,tc_RealDef_Oreal)
| X16 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X10 = X9 ),
c_0_468 ).
fof(c_0_1206,axiom,
! [X2] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
c_0_469 ).
fof(c_0_1207,plain,
! [X2,X3] :
( X2 = X3
| ~ c_lessequals(X3,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_470]) ).
fof(c_0_1208,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,c_Orderings_Oord__class_Omin(X5,X4,X6),X6) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_471]) ).
fof(c_0_1209,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X10,X9,X6),X9,X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_472]) ).
fof(c_0_1210,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_473]) ).
fof(c_0_1211,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X10,X9,X6),X9,X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_474]) ).
fof(c_0_1212,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_475]) ).
fof(c_0_1213,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_476]) ).
fof(c_0_1214,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_477]) ).
fof(c_0_1215,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6),X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_478]) ).
fof(c_0_1216,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X5,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_479]) ).
fof(c_0_1217,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,c_Orderings_Oord__class_Omax(X5,X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_480]) ).
fof(c_0_1218,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_481]) ).
fof(c_0_1219,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(c_Orderings_Oord__class_Omin(X5,X4,X6),X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_482]) ).
fof(c_0_1220,plain,
! [X9,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X9,X6),c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Otimes__class_Otimes(X9,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_483]) ).
fof(c_0_1221,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Otimes__class_Otimes(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_484]) ).
fof(c_0_1222,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Oabs__class_Oabs(X10,X6),X6) = c_HOL_Otimes__class_Otimes(X10,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_485]) ).
fof(c_0_1223,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X6),X9,X6) = c_HOL_Otimes__class_Otimes(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_486]) ).
fof(c_0_1224,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_487 ).
fof(c_0_1225,plain,
! [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(c_HOL_Ozero__class_Ozero(X6),X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_488]) ).
fof(c_0_1226,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_489]) ).
fof(c_0_1227,plain,
! [X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_490]) ).
fof(c_0_1228,plain,
! [X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X6),X6),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_491]) ).
fof(c_0_1229,plain,
! [X4] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_492]) ).
fof(c_0_1230,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_493]) ).
fof(c_0_1231,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_494]) ).
fof(c_0_1232,plain,
! [X4] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_495]) ).
fof(c_0_1233,plain,
! [X4] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_496]) ).
fof(c_0_1234,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_497]) ).
fof(c_0_1235,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_498]) ).
fof(c_0_1236,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_499]) ).
fof(c_0_1237,plain,
! [X4] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_500]) ).
fof(c_0_1238,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_501]) ).
fof(c_0_1239,plain,
! [X8,X10,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X10,X8,X6),X6)
| ~ c_Polynomial_Opos__poly(X8,X6) ),
inference(fof_simplification,[status(thm)],[c_0_502]) ).
fof(c_0_1240,plain,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| X10 = X9
| ~ c_lessequals(X9,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_503]) ).
fof(c_0_1241,plain,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X9,X10,X6)
| ~ c_lessequals(X9,X10,X6)
| X10 = X9 ),
inference(fof_simplification,[status(thm)],[c_0_504]) ).
fof(c_0_1242,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_505]) ).
fof(c_0_1243,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| X5 = X4
| ~ c_lessequals(X5,X4,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_506]) ).
fof(c_0_1244,plain,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| ~ c_lessequals(X10,X9,X6)
| X10 = X9 ),
inference(fof_simplification,[status(thm)],[c_0_507]) ).
fof(c_0_1245,plain,
! [X9,X10,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X10,X9,X6)
| X10 = X9
| ~ c_lessequals(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_508]) ).
fof(c_0_1246,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X5,X4,X6)
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_509]) ).
fof(c_0_1247,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| X5 = X4
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_510]) ).
fof(c_0_1248,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X4,X6) != X4
| c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_511]) ).
fof(c_0_1249,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X4,X6) != X5
| c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_512]) ).
fof(c_0_1250,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) != X5
| c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_513]) ).
fof(c_0_1251,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_514]) ).
fof(c_0_1252,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_515]) ).
fof(c_0_1253,plain,
! [X4,X5] :
( c_lessequals(c_NthRoot_Osqrt(X5),c_NthRoot_Osqrt(X4),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_516]) ).
fof(c_0_1254,plain,
! [X4,X5] :
( c_lessequals(c_Transcendental_Oarctan(X5),c_Transcendental_Oarctan(X4),tc_RealDef_Oreal)
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_517]) ).
fof(c_0_1255,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_518]) ).
fof(c_0_1256,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X4,X6) = X5
| ~ c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_519]) ).
fof(c_0_1257,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X4,X6) = X4
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_520]) ).
fof(c_0_1258,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X4,X6) = X4
| ~ c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_521]) ).
fof(c_0_1259,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X4,X6) = X5
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_522]) ).
fof(c_0_1260,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) = X4
| ~ c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_523]) ).
fof(c_0_1261,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) = X5
| ~ c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_524]) ).
fof(c_0_1262,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_lessequals(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_525]) ).
fof(c_0_1263,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_lessequals(X5,X4,X6)
| ~ c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_526]) ).
fof(c_0_1264,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X10,X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_527]) ).
fof(c_0_1265,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_528]) ).
fof(c_0_1266,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X10,X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_529]) ).
fof(c_0_1267,plain,
! [X4,X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_530]) ).
fof(c_0_1268,plain,
! [X4,X5,X6] :
( ~ class_Int_Onumber__ring(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_531]) ).
fof(c_0_1269,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X9,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_532]) ).
fof(c_0_1270,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X9,X6) = c_HOL_Oplus__class_Oplus(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_533]) ).
fof(c_0_1271,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) = c_Lattices_Olower__semilattice__class_Oinf(X5,c_HOL_Ouminus__class_Ouminus(X4,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_534]) ).
fof(c_0_1272,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = c_HOL_Oplus__class_Oplus(X10,X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_535]) ).
fof(c_0_1273,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| X5 = c_HOL_Ozero__class_Ozero(X6)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X5,X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_536]) ).
fof(c_0_1274,plain,
! [X4,X5] :
( c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal)
| X5 = X4
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_537]) ).
fof(c_0_1275,plain,
! [X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_538]) ).
fof(c_0_1276,plain,
! [X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X5,X4,tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_539]) ).
fof(c_0_1277,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X5,X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_540]) ).
fof(c_0_1278,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_541]) ).
fof(c_0_1279,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oabs__if(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6)
| ~ c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_542]) ).
fof(c_0_1280,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6)
| ~ c_lessequals(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_543]) ).
fof(c_0_1281,plain,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Ozero__neq__one(X6)
| ~ class_Ring__and__Field_Ono__zero__divisors(X6)
| ~ class_Ring__and__Field_Omult__zero(X6)
| ~ class_Power_Opower(X6)
| c_Power_Opower__class_Opower(X10,X17,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_544]) ).
fof(c_0_1282,plain,
! [X8,X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_Polynomial_Osmult(X10,X8,X6) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_545]) ).
fof(c_0_1283,axiom,
! [X5,X10] :
( c_HOL_Oplus__class_Oplus(X5,c_HOL_Ouminus__class_Ouminus(X10,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = X10 ),
c_0_546 ).
fof(c_0_1284,plain,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(X10,X8,X6) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X8 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_547]) ).
fof(c_0_1285,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| c_HOL_Oord__class_Oless(X4,X5,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| X5 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_548]) ).
fof(c_0_1286,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X4,X5,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_549]) ).
fof(c_0_1287,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X5,X4,X6)
| c_HOL_Oord__class_Oless(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_550]) ).
fof(c_0_1288,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X5,X6)
| X5 = X4
| c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_551]) ).
fof(c_0_1289,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X5,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| X5 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_552]) ).
fof(c_0_1290,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = X10
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_553]) ).
fof(c_0_1291,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = X10
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X6),X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_554]) ).
fof(c_0_1292,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,X4,X6)
| c_lessequals(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_555]) ).
fof(c_0_1293,plain,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X5,X5,X6)
| c_lessequals(X5,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_556]) ).
fof(c_0_1294,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,X5,X6)
| c_HOL_Oord__class_Oless(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_557]) ).
fof(c_0_1295,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_HOL_Oord__class_Oless(X4,X5,X6)
| c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_558]) ).
fof(c_0_1296,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_lessequals(X4,X5,X6)
| c_lessequals(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_559]) ).
fof(c_0_1297,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X4,X6) = c_Orderings_Oord__class_Omax(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_560]) ).
fof(c_0_1298,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X5,X4,X6) = c_HOL_Otimes__class_Otimes(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_561]) ).
fof(c_0_1299,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X10,X9,X6) = c_HOL_Otimes__class_Otimes(X9,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_562]) ).
fof(c_0_1300,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_563]) ).
fof(c_0_1301,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Olattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X4,X6) = c_Lattices_Olower__semilattice__class_Oinf(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_564]) ).
fof(c_0_1302,plain,
! [X4,X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X4,X6) = c_Orderings_Oord__class_Omin(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_565]) ).
fof(c_0_1303,plain,
! [X16,X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X10,X16,X6) = c_HOL_Oplus__class_Oplus(X16,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_566]) ).
fof(c_0_1304,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X5,X4,X6) = c_HOL_Oplus__class_Oplus(X4,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_567]) ).
fof(c_0_1305,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) = c_HOL_Oplus__class_Oplus(X9,X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_568]) ).
fof(c_0_1306,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| c_HOL_Ouminus__class_Ouminus(X10,X6) = X9 ),
inference(fof_simplification,[status(thm)],[c_0_569]) ).
fof(c_0_1307,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ouminus__class_Ouminus(X9,X6) ),
inference(fof_simplification,[status(thm)],[c_0_570]) ).
fof(c_0_1308,plain,
! [X8,X10,X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(X10,X8,X6) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6))
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_571]) ).
fof(c_0_1309,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X10,X6),c_HOL_Oabs__class_Oabs(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_572]) ).
fof(c_0_1310,plain,
! [X14] :
( c_HOL_Oabs__class_Oabs(X14,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X14,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_573]) ).
fof(c_0_1311,plain,
! [X7,X8,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| X8 = X7
| ~ c_HOL_Oeq__class_Oeq(X8,X7,tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_574]) ).
fof(c_0_1312,plain,
! [X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_575]) ).
fof(c_0_1313,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X9 = c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_576]) ).
fof(c_0_1314,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X9 = c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_577]) ).
fof(c_0_1315,plain,
! [X9,X10,X6] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6)
| X9 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_578]) ).
fof(c_0_1316,plain,
! [X4,X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Ominus__class_Ominus(X5,X4,X6) != c_HOL_Ozero__class_Ozero(X6)
| X5 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_579]) ).
fof(c_0_1317,plain,
! [X5,X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| X5 != c_HOL_Oplus__class_Oplus(X5,X10,X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_580]) ).
fof(c_0_1318,axiom,
! [X2,X3] :
( c_lessequals(X3,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X3,tc_RealDef_Oreal) ),
c_0_581 ).
fof(c_0_1319,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_582]) ).
fof(c_0_1320,plain,
! [X17,X10,X6] :
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X6)
| c_Power_Opower__class_Opower(X10,X17,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_583]) ).
fof(c_0_1321,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oplus__class_Oplus(X10,X10,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_584]) ).
fof(c_0_1322,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_585]) ).
fof(c_0_1323,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = X9 ),
inference(fof_simplification,[status(thm)],[c_0_586]) ).
fof(c_0_1324,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X9,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = X9 ),
inference(fof_simplification,[status(thm)],[c_0_587]) ).
fof(c_0_1325,plain,
! [X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X6),X6),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_588]) ).
fof(c_0_1326,axiom,
! [X4,X5] :
( c_HOL_Oplus__class_Oplus(X5,X4,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X4 = c_HOL_Ouminus__class_Ouminus(X5,tc_RealDef_Oreal) ),
c_0_589 ).
fof(c_0_1327,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_590]) ).
fof(c_0_1328,plain,
! [X10,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(X10,X6),X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_591]) ).
fof(c_0_1329,plain,
! [X6] :
( ~ class_HOL_Ozero(X6)
| c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_592]) ).
fof(c_0_1330,plain,
! [X4,X5,X6] :
( ~ class_HOL_Oeq(X6)
| X5 = X4
| ~ c_HOL_Oeq__class_Oeq(X5,X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_593]) ).
fof(c_0_1331,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X6),tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_594]) ).
fof(c_0_1332,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(X6),c_HOL_Oabs__class_Oabs(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_595]) ).
fof(c_0_1333,plain,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_596]) ).
fof(c_0_1334,plain,
! [X5,X6] :
( ~ class_Orderings_Oorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_597]) ).
fof(c_0_1335,plain,
! [X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| ~ c_HOL_Oord__class_Oless(X5,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_598]) ).
fof(c_0_1336,plain,
! [X9,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X9,X6),X9,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_599]) ).
fof(c_0_1337,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_600]) ).
fof(c_0_1338,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Ouminus__class_Ouminus(X10,X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_601]) ).
fof(c_0_1339,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X6),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_602]) ).
fof(c_0_1340,plain,
! [X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X5,X6),X5,X6) = c_Orderings_Obot__class_Obot(X6) ),
inference(fof_simplification,[status(thm)],[c_0_603]) ).
fof(c_0_1341,plain,
! [X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_Orderings_Obot__class_Obot(X6) ),
inference(fof_simplification,[status(thm)],[c_0_604]) ).
fof(c_0_1342,plain,
! [X10,X6] :
( ~ class_Orderings_Olinorder(X6)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = X10
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_605]) ).
fof(c_0_1343,plain,
! [X7,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X7,X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_606]) ).
fof(c_0_1344,plain,
! [X16,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X16,X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_607]) ).
fof(c_0_1345,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_Polynomial_Osmult(X10,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_608]) ).
fof(c_0_1346,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(X10,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_609]) ).
fof(c_0_1347,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X5,X6),tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_610]) ).
fof(c_0_1348,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_lessequals(X10,c_HOL_Oabs__class_Oabs(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_611]) ).
fof(c_0_1349,plain,
! [X7,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X7,tc_Polynomial_Opoly(X6)) = X7 ),
inference(fof_simplification,[status(thm)],[c_0_612]) ).
fof(c_0_1350,plain,
! [X8,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X8,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),tc_Polynomial_Opoly(X6)) = X8 ),
inference(fof_simplification,[status(thm)],[c_0_613]) ).
fof(c_0_1351,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_614]) ).
fof(c_0_1352,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_615]) ).
fof(c_0_1353,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oabs__if(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) = X10
| c_HOL_Oord__class_Oless(X10,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_616]) ).
fof(c_0_1354,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X6),X10,X6) = c_HOL_Ouminus__class_Ouminus(X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_617]) ).
fof(c_0_1355,plain,
! [X6] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_618]) ).
fof(c_0_1356,plain,
! [X8,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X6),X8,X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_619]) ).
fof(c_0_1357,plain,
! [X8,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X6)
| c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X6),X8,X6) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_620]) ).
fof(c_0_1358,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| X5 = c_HOL_Oplus__class_Oplus(X5,c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_621]) ).
fof(c_0_1359,plain,
! [X5,X6] :
( ~ class_HOL_Ozero(X6)
| ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X5,X5,tc_Polynomial_Opoly(X6)) ),
inference(fof_simplification,[status(thm)],[c_0_622]) ).
fof(c_0_1360,plain,
! [X5,X6] :
( ~ class_Ring__and__Field_Oidom(X6)
| ~ class_Int_Onumber__ring(X6)
| c_HOL_Ominus__class_Ominus(X5,X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_623]) ).
fof(c_0_1361,plain,
! [X5,X6] :
( ~ class_Lattices_Obounded__lattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,c_Orderings_Obot__class_Obot(X6),X6) = c_Orderings_Obot__class_Obot(X6) ),
inference(fof_simplification,[status(thm)],[c_0_624]) ).
fof(c_0_1362,plain,
! [X5,X6] :
( ~ class_Lattices_Obounded__lattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X6),X5,X6) = c_Orderings_Obot__class_Obot(X6) ),
inference(fof_simplification,[status(thm)],[c_0_625]) ).
fof(c_0_1363,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_626]) ).
fof(c_0_1364,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_627]) ).
fof(c_0_1365,plain,
! [X4,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X4,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_628]) ).
fof(c_0_1366,plain,
! [X9,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X9,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_629]) ).
fof(c_0_1367,plain,
! [X10,X6] :
( ~ class_RealVector_Oreal__normed__algebra(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_630]) ).
fof(c_0_1368,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(fof_simplification,[status(thm)],[c_0_631]) ).
fof(c_0_1369,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(fof_simplification,[status(thm)],[c_0_632]) ).
fof(c_0_1370,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Omult__zero(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_633]) ).
fof(c_0_1371,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Omult__zero(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_634]) ).
fof(c_0_1372,plain,
! [X9,X6] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X6),X9,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_635]) ).
fof(c_0_1373,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X6)
| c_HOL_Otimes__class_Otimes(X10,c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_636]) ).
fof(c_0_1374,axiom,
! [X14] :
( c_HOL_Oabs__class_Oabs(X14,tc_RealDef_Oreal) = X14
| c_HOL_Oord__class_Oless(X14,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_637 ).
fof(c_0_1375,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,c_HOL_Ozero__class_Ozero(X6),X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_638]) ).
fof(c_0_1376,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Omonoid__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Ozero__class_Ozero(X6),X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_639]) ).
fof(c_0_1377,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Omonoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X10,X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_640]) ).
fof(c_0_1378,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Ozero__class_Ozero(X6),X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_641]) ).
fof(c_0_1379,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(fof_simplification,[status(thm)],[c_0_642]) ).
fof(c_0_1380,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X10,X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_643]) ).
fof(c_0_1381,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(X10,c_HOL_Ozero__class_Ozero(X6),X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_644]) ).
fof(c_0_1382,plain,
! [X10,X6] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X6)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X6),X10,X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_645]) ).
fof(c_0_1383,plain,
! [X5,X6] :
( ~ class_Orderings_Obot(X6)
| c_lessequals(c_Orderings_Obot__class_Obot(X6),X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_646]) ).
fof(c_0_1384,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Oab__group__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_647]) ).
fof(c_0_1385,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X5,X5,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_648]) ).
fof(c_0_1386,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ominus__class_Ominus(X10,X10,X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_649]) ).
fof(c_0_1387,plain,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omax(X5,X5,X6) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_650]) ).
fof(c_0_1388,plain,
! [X5,X6] :
( ~ class_Orderings_Olinorder(X6)
| c_Orderings_Oord__class_Omin(X5,X5,X6) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_651]) ).
fof(c_0_1389,plain,
! [X5,X6] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X6)
| c_HOL_Otimes__class_Otimes(X5,X5,X6) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_652]) ).
fof(c_0_1390,plain,
! [X5,X6] :
( ~ class_Lattices_Olower__semilattice(X6)
| c_Lattices_Olower__semilattice__class_Oinf(X5,X5,X6) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_653]) ).
fof(c_0_1391,plain,
! [X5,X6] :
( ~ class_HOL_Oeq(X6)
| c_HOL_Oeq__class_Oeq(X5,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_654]) ).
fof(c_0_1392,plain,
! [X5,X6] :
( ~ class_Orderings_Oorder(X6)
| c_lessequals(X5,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_655]) ).
fof(c_0_1393,plain,
! [X5,X6] :
( ~ class_Orderings_Opreorder(X6)
| c_lessequals(X5,X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_656]) ).
fof(c_0_1394,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X10,X6),X6) = c_HOL_Oabs__class_Oabs(X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_657]) ).
fof(c_0_1395,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X10,X6),X6) = c_HOL_Oabs__class_Oabs(X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_658]) ).
fof(c_0_1396,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = c_RealVector_Onorm__class_Onorm(X5,X6) ),
inference(fof_simplification,[status(thm)],[c_0_659]) ).
fof(c_0_1397,plain,
! [X10,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X10,X6),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X10,X6) ),
inference(fof_simplification,[status(thm)],[c_0_660]) ).
fof(c_0_1398,plain,
! [X6] :
( ~ class_Ring__and__Field_Oordered__idom(X6)
| ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X6)),X6) ),
inference(fof_simplification,[status(thm)],[c_0_661]) ).
fof(c_0_1399,plain,
! [X4,X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_HOL_Ouminus__class_Ouminus(X5,X6) != c_HOL_Ouminus__class_Ouminus(X4,X6)
| X5 = X4 ),
inference(fof_simplification,[status(thm)],[c_0_662]) ).
fof(c_0_1400,plain,
! [X9,X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(X10,X6) != c_HOL_Ouminus__class_Ouminus(X9,X6)
| X10 = X9 ),
inference(fof_simplification,[status(thm)],[c_0_663]) ).
fof(c_0_1401,plain,
! [X9,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X9,X6),X6) = X9 ),
inference(fof_simplification,[status(thm)],[c_0_664]) ).
fof(c_0_1402,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| X10 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_665]) ).
fof(c_0_1403,plain,
! [X9,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| X9 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X9,X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_666]) ).
fof(c_0_1404,plain,
! [X5,X6] :
( ~ class_Lattices_Oboolean__algebra(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X5,X6),X6) = X5 ),
inference(fof_simplification,[status(thm)],[c_0_667]) ).
fof(c_0_1405,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X6),X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_668]) ).
fof(c_0_1406,plain,
! [X5,X6] :
( ~ class_SEQ_Obanach(X6)
| ~ class_RealVector_Oreal__normed__field(X6)
| c_Transcendental_Oexp(X5,X6) != c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_669]) ).
fof(c_0_1407,axiom,
! [X4,X5] :
( c_Transcendental_Oexp(X5,tc_RealDef_Oreal) != c_Transcendental_Oexp(X4,tc_RealDef_Oreal)
| X5 = X4 ),
c_0_670 ).
fof(c_0_1408,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(X10,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_671]) ).
fof(c_0_1409,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ozero__class_Ozero(X6) != c_HOL_Ouminus__class_Ouminus(X10,X6)
| c_HOL_Ozero__class_Ozero(X6) = X10 ),
inference(fof_simplification,[status(thm)],[c_0_672]) ).
fof(c_0_1410,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(X10,X6) != c_HOL_Ozero__class_Ozero(X6)
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_673]) ).
fof(c_0_1411,plain,
! [X5,X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_RealVector_Onorm__class_Onorm(X5,X6) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X5 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_674]) ).
fof(c_0_1412,plain,
! [X10,X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_HOL_Ouminus__class_Ouminus(X10,X6) != X10
| X10 = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_675]) ).
fof(c_0_1413,plain,
! [X6] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X6)
| c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_676]) ).
fof(c_0_1414,plain,
! [X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ozero__class_Ozero(X6) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X6),X6) ),
inference(fof_simplification,[status(thm)],[c_0_677]) ).
fof(c_0_1415,plain,
! [X6] :
( ~ class_OrderedGroup_Ogroup__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_678]) ).
fof(c_0_1416,plain,
! [X6] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X6)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(X6) ),
inference(fof_simplification,[status(thm)],[c_0_679]) ).
fof(c_0_1417,plain,
! [X6] :
( ~ class_RealVector_Oreal__normed__vector(X6)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X6),X6) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(fof_simplification,[status(thm)],[c_0_680]) ).
fof(c_0_1418,axiom,
! [X4,X5] :
( c_Complex_OIm(X5) != c_Complex_OIm(X4)
| c_Complex_ORe(X5) != c_Complex_ORe(X4)
| X5 = X4 ),
c_0_681 ).
fof(c_0_1419,plain,
! [X1] :
( class_HOL_Oeq(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1)
| ~ class_HOL_Oeq(X1) ),
inference(fof_simplification,[status(thm)],[c_0_682]) ).
fof(c_0_1420,plain,
! [X1] :
( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
inference(fof_simplification,[status(thm)],[c_0_683]) ).
fof(c_0_1421,plain,
! [X1] :
( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(fof_simplification,[status(thm)],[c_0_684]) ).
fof(c_0_1422,plain,
! [X1] :
( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_685]) ).
fof(c_0_1423,plain,
! [X1] :
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_686]) ).
fof(c_0_1424,plain,
! [X1] :
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_687]) ).
fof(c_0_1425,plain,
! [X1] :
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_688]) ).
fof(c_0_1426,plain,
! [X1] :
( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_689]) ).
fof(c_0_1427,plain,
! [X1] :
( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_690]) ).
fof(c_0_1428,plain,
! [X1] :
( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_691]) ).
fof(c_0_1429,plain,
! [X1] :
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_692]) ).
fof(c_0_1430,plain,
! [X1] :
( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_693]) ).
fof(c_0_1431,plain,
! [X1] :
( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_694]) ).
fof(c_0_1432,plain,
! [X1] :
( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_695]) ).
fof(c_0_1433,plain,
! [X1] :
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
inference(fof_simplification,[status(thm)],[c_0_696]) ).
fof(c_0_1434,plain,
! [X1] :
( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_697]) ).
fof(c_0_1435,plain,
! [X1] :
( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_698]) ).
fof(c_0_1436,plain,
! [X1] :
( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_699]) ).
fof(c_0_1437,plain,
! [X1] :
( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
inference(fof_simplification,[status(thm)],[c_0_700]) ).
fof(c_0_1438,plain,
! [X1] :
( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_701]) ).
fof(c_0_1439,plain,
! [X1] :
( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_702]) ).
fof(c_0_1440,plain,
! [X1] :
( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_703]) ).
fof(c_0_1441,plain,
! [X1] :
( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_704]) ).
fof(c_0_1442,plain,
! [X1] :
( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_705]) ).
fof(c_0_1443,plain,
! [X1] :
( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_706]) ).
fof(c_0_1444,plain,
! [X1] :
( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_707]) ).
fof(c_0_1445,plain,
! [X1] :
( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_708]) ).
fof(c_0_1446,plain,
! [X1] :
( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_709]) ).
fof(c_0_1447,plain,
! [X1] :
( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(fof_simplification,[status(thm)],[c_0_710]) ).
fof(c_0_1448,plain,
! [X1] :
( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_711]) ).
fof(c_0_1449,plain,
! [X1] :
( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_712]) ).
fof(c_0_1450,plain,
! [X1] :
( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(fof_simplification,[status(thm)],[c_0_713]) ).
fof(c_0_1451,plain,
! [X1] :
( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_714]) ).
fof(c_0_1452,plain,
! [X1] :
( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_715]) ).
fof(c_0_1453,plain,
! [X1] :
( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_716]) ).
fof(c_0_1454,plain,
! [X1] :
( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[c_0_717]) ).
fof(c_0_1455,plain,
! [X1] :
( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_718]) ).
fof(c_0_1456,plain,
! [X1] :
( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_719]) ).
fof(c_0_1457,plain,
! [X1] :
( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_720]) ).
fof(c_0_1458,plain,
! [X1] :
( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(fof_simplification,[status(thm)],[c_0_721]) ).
fof(c_0_1459,plain,
! [X1] :
( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(fof_simplification,[status(thm)],[c_0_722]) ).
fof(c_0_1460,plain,
! [X1] :
( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(fof_simplification,[status(thm)],[c_0_723]) ).
fof(c_0_1461,plain,
! [X1] :
( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_724]) ).
fof(c_0_1462,plain,
! [X1] :
( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(fof_simplification,[status(thm)],[c_0_725]) ).
fof(c_0_1463,plain,
! [X1] :
( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_726]) ).
fof(c_0_1464,plain,
! [X1] :
( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_727]) ).
fof(c_0_1465,plain,
! [X1] :
( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_728]) ).
fof(c_0_1466,plain,
! [X1] :
( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(fof_simplification,[status(thm)],[c_0_729]) ).
fof(c_0_1467,plain,
! [X1] :
( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_730]) ).
fof(c_0_1468,plain,
! [X1] :
( class_Power_Opower(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(fof_simplification,[status(thm)],[c_0_731]) ).
fof(c_0_1469,plain,
! [X1] :
( class_HOL_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
inference(fof_simplification,[status(thm)],[c_0_732]) ).
fof(c_0_1470,axiom,
! [X4,X5] :
( c_NthRoot_Osqrt(X5) != c_NthRoot_Osqrt(X4)
| X5 = X4 ),
c_0_733 ).
fof(c_0_1471,axiom,
! [X4,X5] :
( c_Complex_Ocnj(X5) != c_Complex_Ocnj(X4)
| X5 = X4 ),
c_0_734 ).
fof(c_0_1472,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_735 ).
fof(c_0_1473,axiom,
! [X2] :
( c_Complex_Ocnj(X2) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X2 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
c_0_736 ).
fof(c_0_1474,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_RealVector_Oreal__normed__algebra(X15)
| c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X12,X11,X15),c_HOL_Otimes__class_Otimes(X14,X13,X15),X15) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X12,X14,X15),c_HOL_Ominus__class_Ominus(X11,X13,X15),X15),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X12,X14,X15),X13,X15),X15),c_HOL_Otimes__class_Otimes(X14,c_HOL_Ominus__class_Ominus(X11,X13,X15),X15),X15) ),
inference(variable_rename,[status(thm)],[c_0_737]) ).
fof(c_0_1475,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_738]) ).
fof(c_0_1476,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_739]) ).
fof(c_0_1477,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Opordered__ring(X26)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26),X26)
| ~ c_lessequals(X23,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X25,X26),X21,X26),X22,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_740]) ).
fof(c_0_1478,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Opordered__ring(X26)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26),X26)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X25,X24,X26),X21,X26),X23,X26),X22,X26) ),
inference(variable_rename,[status(thm)],[c_0_741]) ).
fof(c_0_1479,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Opordered__ring(X26)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26),X26)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X25,X24,X26),X21,X26),X23,X26),X22,X26) ),
inference(variable_rename,[status(thm)],[c_0_742]) ).
fof(c_0_1480,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Opordered__ring(X26)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26),X26)
| ~ c_HOL_Oord__class_Oless(X23,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X25,X26),X21,X26),X22,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_743]) ).
fof(c_0_1481,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Opordered__ring(X26)
| c_lessequals(X23,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X25,X26),X21,X26),X22,X26),X26)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_744]) ).
fof(c_0_1482,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Opordered__ring(X26)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X25,X24,X26),X21,X26),X23,X26),X22,X26)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_745]) ).
fof(c_0_1483,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Opordered__ring(X26)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X25,X24,X26),X21,X26),X23,X26),X22,X26)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_746]) ).
fof(c_0_1484,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Opordered__ring(X26)
| c_HOL_Oord__class_Oless(X23,c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X25,X26),X21,X26),X22,X26),X26)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26),X26) ),
inference(variable_rename,[status(thm)],[c_0_747]) ).
fof(c_0_1485,plain,
! [X4] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_748]) ).
fof(c_0_1486,plain,
! [X4] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_749]) ).
fof(c_0_1487,plain,
! [X3] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_750]) ).
fof(c_0_1488,plain,
! [X3] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_751]) ).
fof(c_0_1489,plain,
! [X3] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_752]) ).
fof(c_0_1490,plain,
! [X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7),X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_753]) ).
fof(c_0_1491,plain,
! [X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Oring(X25)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X25),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X23,X24,X25),X21,X25),X22,X25),X25) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X21,X25),X22,X25) ),
inference(variable_rename,[status(thm)],[c_0_754]) ).
fof(c_0_1492,plain,
! [X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Oring(X25)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X25),X22,X25) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X21,X25),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X23,X25),X21,X25),X22,X25),X25) ),
inference(variable_rename,[status(thm)],[c_0_755]) ).
fof(c_0_1493,plain,
! [X16,X17,X18,X19] :
( c_lessequals(X18,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X19,X17,tc_Complex_Ocomplex),X16,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X19,X18,X17),c_RealVector_Onorm__class_Onorm(X16,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| X17 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(variable_rename,[status(thm)],[c_0_756]) ).
fof(c_0_1494,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X9)
| X7 = c_HOL_Ozero__class_Ozero(X9)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X8,X9),c_HOL_Otimes__class_Otimes(X7,X7,X9),X9),c_HOL_Ozero__class_Ozero(X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_757]) ).
fof(c_0_1495,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X9)
| X8 = c_HOL_Ozero__class_Ozero(X9)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X8,X9),c_HOL_Otimes__class_Otimes(X7,X7,X9),X9),c_HOL_Ozero__class_Ozero(X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_758]) ).
fof(c_0_1496,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X9)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X8,X9),c_HOL_Otimes__class_Otimes(X7,X7,X9),X9),c_HOL_Ozero__class_Ozero(X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_759]) ).
fof(c_0_1497,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X9,X8,X10),c_Orderings_Oord__class_Omin(X9,X7,X10),X10),c_Orderings_Oord__class_Omin(X9,c_Orderings_Oord__class_Omax(X8,X7,X10),X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_760]) ).
fof(c_0_1498,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(c_Orderings_Oord__class_Omax(X9,c_Orderings_Oord__class_Omin(X8,X7,X10),X10),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X9,X8,X10),c_Orderings_Oord__class_Omax(X9,X7,X10),X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_761]) ).
fof(c_0_1499,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Oring(X26)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X25,X24,X26),X21,X26),X23,X26) = X22 ),
inference(variable_rename,[status(thm)],[c_0_762]) ).
fof(c_0_1500,plain,
! [X21,X22,X23,X24,X25,X26] :
( ~ class_Ring__and__Field_Oring(X26)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X25,X21,X26),X23,X26) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X26),X22,X26)
| X23 = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X24,X25,X26),X21,X26),X22,X26) ),
inference(variable_rename,[status(thm)],[c_0_763]) ).
fof(c_0_1501,plain,
! [X21,X22,X23,X24,X25] :
( ~ class_Ring__and__Field_Osemiring(X25)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X24,X21,X25),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X23,X21,X25),X22,X25),X25) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X24,X23,X25),X21,X25),X22,X25) ),
inference(variable_rename,[status(thm)],[c_0_764]) ).
fof(c_0_1502,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_765]) ).
fof(c_0_1503,plain,
! [X7,X8,X9,X10,X11] :
( ~ class_Ring__and__Field_Oidom(X11)
| ~ class_Int_Onumber__ring(X11)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X8,X11),c_HOL_Otimes__class_Otimes(X9,X7,X11),X11) != c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X10,X7,X11),c_HOL_Otimes__class_Otimes(X9,X8,X11),X11)
| X8 = X7
| X10 = X9 ),
inference(variable_rename,[status(thm)],[c_0_766]) ).
fof(c_0_1504,plain,
! [X15,X16,X17,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X18)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X15,X17,X18),X18),X16,X18)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Oplus__class_Oplus(X17,X16,X18),X18)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X17,X16,X18),X15,X18) ),
inference(variable_rename,[status(thm)],[c_0_767]) ).
fof(c_0_1505,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13),X13),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_768]) ).
fof(c_0_1506,plain,
! [X11,X12,X13] :
( ~ class_RealVector_Oreal__normed__vector(X13)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X12,X13),c_RealVector_Onorm__class_Onorm(X11,X13),tc_RealDef_Oreal),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_769]) ).
fof(c_0_1507,plain,
! [X15,X16,X17] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X17,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(X17,X16),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X17,X15,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X15,tc_Complex_Ocomplex),X16,tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_770])])]) ).
fof(c_0_1508,plain,
! [X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_lessequals(c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7),X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_771]) ).
fof(c_0_1509,plain,
! [X17,X18,X19] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X19)
| c_HOL_Oplus__class_Oplus(X17,c_Polynomial_Osmult(X18,c_Polynomial_Osynthetic__div(X17,X18,X19),X19),tc_Polynomial_Opoly(X19)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X17,X18,X19),c_Polynomial_Osynthetic__div(X17,X18,X19),X19) ),
inference(variable_rename,[status(thm)],[c_0_772]) ).
fof(c_0_1510,plain,
! [X34,X35,X36,X37,X38] :
( ~ class_RealVector_Oreal__normed__vector(X38)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X35,X34,X38),X38),c_HOL_Oplus__class_Oplus(X37,X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X34,X38),X36,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X35,X38),X37,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_773]) ).
fof(c_0_1511,plain,
! [X34,X35,X36,X37,X38] :
( ~ class_RealVector_Oreal__normed__algebra(X38)
| c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X35,X34,X38),X38),c_HOL_Otimes__class_Otimes(X37,X36,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X34,X38),X36,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X35,X38),X37,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_774]) ).
fof(c_0_1512,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_775]) ).
fof(c_0_1513,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_776]) ).
fof(c_0_1514,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_777]) ).
fof(c_0_1515,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_778]) ).
fof(c_0_1516,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_779]) ).
fof(c_0_1517,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_780]) ).
fof(c_0_1518,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_781]) ).
fof(c_0_1519,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_782]) ).
fof(c_0_1520,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_783]) ).
fof(c_0_1521,plain,
! [X15,X16,X17,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X18)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X17,X16,X18),X15,X18)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X15,X17,X18),X18),X16,X18) ),
inference(variable_rename,[status(thm)],[c_0_784]) ).
fof(c_0_1522,plain,
! [X15,X16,X17,X18] :
( ~ class_Ring__and__Field_Oordered__idom(X18)
| c_HOL_Oord__class_Oless(X15,c_HOL_Oplus__class_Oplus(X17,X16,X18),X18)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X15,X17,X18),X18),X16,X18) ),
inference(variable_rename,[status(thm)],[c_0_785]) ).
fof(c_0_1523,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X9)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X9),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X8,X9),c_HOL_Otimes__class_Otimes(X7,X7,X9),X9),X9)
| X7 = c_HOL_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[c_0_786]) ).
fof(c_0_1524,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X9)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X9),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X8,X9),c_HOL_Otimes__class_Otimes(X7,X7,X9),X9),X9)
| X8 = c_HOL_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[c_0_787]) ).
fof(c_0_1525,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X9)
| c_lessequals(c_HOL_Ozero__class_Ozero(X9),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X8,X9),c_HOL_Otimes__class_Otimes(X7,X7,X9),X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_788]) ).
fof(c_0_1526,plain,
! [X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Oordered__semidom(X21)
| c_HOL_Oord__class_Oless(X20,X19,X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X19,X21)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X20,X18,X21),c_Power_Opower__class_Opower(X19,X18,X21),X21) ),
inference(variable_rename,[status(thm)],[c_0_789]) ).
fof(c_0_1527,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_790]) ).
fof(c_0_1528,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_791]) ).
fof(c_0_1529,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semiring(X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_792]) ).
fof(c_0_1530,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semiring(X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_793]) ).
fof(c_0_1531,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
| c_lessequals(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_794]) ).
fof(c_0_1532,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
| c_lessequals(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_795]) ).
fof(c_0_1533,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_lessequals(X19,X18,X20)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_796]) ).
fof(c_0_1534,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_lessequals(X18,X19,X20)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_797]) ).
fof(c_0_1535,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_798]) ).
fof(c_0_1536,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X18,X19,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_799]) ).
fof(c_0_1537,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X6 = 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_800])])]) ).
fof(c_0_1538,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_801]) ).
fof(c_0_1539,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X15)
| c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X14,X12,X15),c_Polynomial_OpCons(X13,X11,X15),tc_Polynomial_Opoly(X15)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X14,X13,X15),c_HOL_Oplus__class_Oplus(X12,X11,tc_Polynomial_Opoly(X15)),X15) ),
inference(variable_rename,[status(thm)],[c_0_802]) ).
fof(c_0_1540,plain,
! [X6,X7,X8] :
( c_lessequals(X8,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X6,X8,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X7,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_803]) ).
fof(c_0_1541,plain,
! [X6,X7,X8] :
( c_lessequals(X8,X7,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X8,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X6,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_804]) ).
fof(c_0_1542,plain,
! [X6,X7,X8] :
( c_HOL_Oord__class_Oless(X8,X7,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X6,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_805]) ).
fof(c_0_1543,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_806]) ).
fof(c_0_1544,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_807]) ).
fof(c_0_1545,plain,
! [X7,X8,X9,X10] :
( ~ class_Ring__and__Field_Oidom(X10)
| ~ class_Int_Onumber__ring(X10)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X8,X10),c_HOL_Otimes__class_Otimes(X9,X7,X10),X10) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X7,X10),c_HOL_Otimes__class_Otimes(X9,X8,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_808]) ).
fof(c_0_1546,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_809]) ).
fof(c_0_1547,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X18,X19,X20)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_810]) ).
fof(c_0_1548,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_811]) ).
fof(c_0_1549,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X18,X19,X20)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_812]) ).
fof(c_0_1550,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_813]) ).
fof(c_0_1551,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_814]) ).
fof(c_0_1552,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_815]) ).
fof(c_0_1553,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_816]) ).
fof(c_0_1554,plain,
! [X11,X12,X13,X14] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X14)
| c_Polynomial_Opoly(c_Polynomial_OpCons(X13,X12,X14),X11,X14) = c_HOL_Oplus__class_Oplus(X13,c_HOL_Otimes__class_Otimes(X11,c_Polynomial_Opoly(X12,X11,X14),X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_817]) ).
fof(c_0_1555,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X18,X19,X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_818]) ).
fof(c_0_1556,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(X18,X19,X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_819]) ).
fof(c_0_1557,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_820]) ).
fof(c_0_1558,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Olordered__ring(X13)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13),c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_821]) ).
fof(c_0_1559,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13),c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_822]) ).
fof(c_0_1560,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(X12,X11,X13),X13),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_823]) ).
fof(c_0_1561,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13),c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_824]) ).
fof(c_0_1562,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_825]) ).
fof(c_0_1563,plain,
! [X7,X8,X9] :
( ~ class_RealVector_Oreal__normed__vector(X9)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X8,X7,X9),X9),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X8,X9),c_RealVector_Onorm__class_Onorm(X7,X9),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_826]) ).
fof(c_0_1564,plain,
! [X11,X12,X13] :
( ~ class_RealVector_Oreal__normed__vector(X13)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X12,X13),c_RealVector_Onorm__class_Onorm(X11,X13),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_827]) ).
fof(c_0_1565,plain,
! [X11,X12,X13] :
( ~ class_RealVector_Oreal__normed__vector(X13)
| c_lessequals(c_HOL_Ominus__class_Ominus(c_RealVector_Onorm__class_Onorm(X12,X13),c_RealVector_Onorm__class_Onorm(X11,X13),tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(c_HOL_Oplus__class_Oplus(X12,X11,X13),X13),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_828]) ).
fof(c_0_1566,plain,
! [X11,X12,X13] :
( ~ class_RealVector_Oreal__normed__vector(X13)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13),c_HOL_Oplus__class_Oplus(c_RealVector_Onorm__class_Onorm(X12,X13),c_RealVector_Onorm__class_Onorm(X11,X13),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_829]) ).
fof(c_0_1567,plain,
! [X7,X8,X9] :
( ~ class_RealVector_Oreal__normed__algebra(X9)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X8,X7,X9),X9),c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X8,X9),c_RealVector_Onorm__class_Onorm(X7,X9),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_830]) ).
fof(c_0_1568,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_HOL_Ozero(X15)
| ~ class_HOL_Oeq(X15)
| c_HOL_Oeq__class_Oeq(X12,X11,tc_Polynomial_Opoly(X15))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X14,X12,X15),c_Polynomial_OpCons(X13,X11,X15),tc_Polynomial_Opoly(X15)) ),
inference(variable_rename,[status(thm)],[c_0_831]) ).
fof(c_0_1569,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_HOL_Ozero(X15)
| ~ class_HOL_Oeq(X15)
| c_HOL_Oeq__class_Oeq(X14,X13,X15)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X14,X12,X15),c_Polynomial_OpCons(X13,X11,X15),tc_Polynomial_Opoly(X15)) ),
inference(variable_rename,[status(thm)],[c_0_832]) ).
fof(c_0_1570,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_833]) ).
fof(c_0_1571,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_834]) ).
fof(c_0_1572,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| c_lessequals(X19,X18,X20)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_835]) ).
fof(c_0_1573,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| c_lessequals(X19,X18,X20)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_836]) ).
fof(c_0_1574,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X20)
| c_lessequals(X19,c_HOL_Oplus__class_Oplus(X17,c_HOL_Oabs__class_Oabs(X18,X20),X20),X20)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_837]) ).
fof(c_0_1575,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_HOL_Ozero(X15)
| ~ class_HOL_Oeq(X15)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X14,X12,X15),c_Polynomial_OpCons(X13,X11,X15),tc_Polynomial_Opoly(X15))
| ~ c_HOL_Oeq__class_Oeq(X12,X11,tc_Polynomial_Opoly(X15))
| ~ c_HOL_Oeq__class_Oeq(X14,X13,X15) ),
inference(variable_rename,[status(thm)],[c_0_838]) ).
fof(c_0_1576,plain,
! [X17,X18,X19,X20] :
( ~ class_RealVector_Oreal__normed__vector(X20)
| X18 = c_HOL_Ozero__class_Ozero(X20)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X18,X20),c_HOL_Otimes__class_Otimes(X19,c_RealVector_Onorm__class_Onorm(X17,X20),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_839]) ).
fof(c_0_1577,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X20)
| c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X18,X17,X20),c_Polynomial_OpCons(X19,X17,X20),tc_Polynomial_Opoly(X20)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X20))
| X17 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X20)) ),
inference(variable_rename,[status(thm)],[c_0_840]) ).
fof(c_0_1578,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Omult__mono1(X20)
| c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_841]) ).
fof(c_0_1579,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Omult__mono(X20)
| c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_842]) ).
fof(c_0_1580,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Omult__mono(X20)
| c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_843]) ).
fof(c_0_1581,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Opordered__ring(X20)
| c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X20),X20)
| ~ c_lessequals(X18,X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_844]) ).
fof(c_0_1582,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Opordered__ring(X20)
| c_lessequals(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
| ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X20),X20)
| ~ c_lessequals(X18,X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_845]) ).
fof(c_0_1583,plain,
! [X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Oordered__semidom(X21)
| c_lessequals(c_Power_Opower__class_Opower(X20,X18,X21),c_Power_Opower__class_Opower(X19,X18,X21),X21)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X21),X20,X21)
| ~ c_lessequals(X20,X19,X21) ),
inference(variable_rename,[status(thm)],[c_0_846]) ).
fof(c_0_1584,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_lessequals(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_847]) ).
fof(c_0_1585,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_lessequals(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_lessequals(X18,X19,X20)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_848]) ).
fof(c_0_1586,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_849]) ).
fof(c_0_1587,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
| ~ c_HOL_Oord__class_Oless(X18,X19,X20)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_850]) ).
fof(c_0_1588,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_851]) ).
fof(c_0_1589,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_852]) ).
fof(c_0_1590,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
| ~ c_HOL_Oord__class_Oless(X18,X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_853]) ).
fof(c_0_1591,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(X18,X19,X20)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_854]) ).
fof(c_0_1592,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_855]) ).
fof(c_0_1593,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_856]) ).
fof(c_0_1594,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20)
| ~ c_HOL_Oord__class_Oless(X18,X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_857]) ).
fof(c_0_1595,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_858]) ).
fof(c_0_1596,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X17,X19,X20),c_HOL_Otimes__class_Otimes(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(X18,X19,X20)
| ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_859]) ).
fof(c_0_1597,plain,
! [X18,X19,X20] :
( ~ class_RealVector_Oreal__normed__algebra__1(X20)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X18,X19,X20),X20),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X18,X20),X19,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_860]) ).
fof(c_0_1598,plain,
! [X11,X12,X13,X14] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X14)
| c_Polynomial_Osmult(X13,c_HOL_Oplus__class_Oplus(X12,X11,tc_Polynomial_Opoly(X14)),X14) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X13,X12,X14),c_Polynomial_Osmult(X13,X11,X14),tc_Polynomial_Opoly(X14)) ),
inference(variable_rename,[status(thm)],[c_0_861]) ).
fof(c_0_1599,plain,
! [X9,X10,X11,X12] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X12)
| c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X11,X10,tc_Polynomial_Opoly(X12)),X9,X12) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X11,X9,X12),c_Polynomial_Opoly(X10,X9,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_862]) ).
fof(c_0_1600,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_863]) ).
fof(c_0_1601,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_864]) ).
fof(c_0_1602,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_865]) ).
fof(c_0_1603,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_866]) ).
fof(c_0_1604,plain,
! [X17,X18,X19] :
( X18 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X18,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X19,c_HOL_Oabs__class_Oabs(X17,tc_RealDef_Oreal),tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X19,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_867])])]) ).
fof(c_0_1605,plain,
! [X11,X12,X13,X14] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X14)
| c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X13,X12,X14),X11,X14) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X13,X11,X14),c_Polynomial_Osmult(X12,X11,X14),tc_Polynomial_Opoly(X14)) ),
inference(variable_rename,[status(thm)],[c_0_868]) ).
fof(c_0_1606,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X9)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X8,X9),c_HOL_Otimes__class_Otimes(X7,X7,X9),X9) != c_HOL_Ozero__class_Ozero(X9)
| X8 = c_HOL_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[c_0_869]) ).
fof(c_0_1607,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X9)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X8,X8,X9),c_HOL_Otimes__class_Otimes(X7,X7,X9),X9) != c_HOL_Ozero__class_Ozero(X9)
| X7 = c_HOL_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[c_0_870]) ).
fof(c_0_1608,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X8,X7,X10),X9,X10) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X8,X9,X10),c_Orderings_Oord__class_Omin(X7,X9,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_871]) ).
fof(c_0_1609,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_Orderings_Oord__class_Omin(X9,c_Orderings_Oord__class_Omax(X8,X7,X10),X10) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X9,X8,X10),c_Orderings_Oord__class_Omin(X9,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_872]) ).
fof(c_0_1610,plain,
! [X11,X12,X13,X14] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X14)
| c_Polynomial_Osmult(X13,c_Polynomial_OpCons(X12,X11,X14),X14) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X13,X12,X14),c_Polynomial_Osmult(X13,X11,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_873]) ).
fof(c_0_1611,plain,
! [X8,X9,X10,X11] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X11)
| c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X9,X8,X11),X10,X11) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X9,X10,X11),c_Power_Opower__class_Opower(X8,X10,X11),X11) ),
inference(variable_rename,[status(thm)],[c_0_874]) ).
fof(c_0_1612,plain,
! [X18,X19,X20,X21] :
( ~ class_OrderedGroup_Ocomm__monoid__mult(X21)
| c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X20,X19,X21),X18,X21) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X20,X18,X21),c_Power_Opower__class_Opower(X19,X18,X21),X21) ),
inference(variable_rename,[status(thm)],[c_0_875]) ).
fof(c_0_1613,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_Orderings_Oord__class_Omax(X9,c_Orderings_Oord__class_Omin(X8,X7,X10),X10) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X9,X8,X10),c_Orderings_Oord__class_Omax(X9,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_876]) ).
fof(c_0_1614,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X8,X7,X10),X9,X10) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X8,X9,X10),c_Orderings_Oord__class_Omax(X7,X9,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_877]) ).
fof(c_0_1615,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_878]) ).
fof(c_0_1616,plain,
! [X28,X29,X30,X31] :
( ~ class_RealVector_Oreal__normed__algebra(X31)
| c_HOL_Otimes__class_Otimes(X29,c_HOL_Oplus__class_Oplus(X30,X28,X31),X31) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X30,X31),c_HOL_Otimes__class_Otimes(X29,X28,X31),X31) ),
inference(variable_rename,[status(thm)],[c_0_879]) ).
fof(c_0_1617,plain,
! [X27,X28,X29,X30] :
( ~ class_RealVector_Oreal__normed__algebra(X30)
| c_HOL_Otimes__class_Otimes(X29,c_HOL_Oplus__class_Oplus(X28,X27,X30),X30) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X29,X28,X30),c_HOL_Otimes__class_Otimes(X29,X27,X30),X30) ),
inference(variable_rename,[status(thm)],[c_0_880]) ).
fof(c_0_1618,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_881]) ).
fof(c_0_1619,plain,
! [X26,X27,X28,X29] :
( ~ class_RealVector_Oreal__normed__algebra(X29)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X28,X27,X29),X26,X29) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X28,X26,X29),c_HOL_Otimes__class_Otimes(X27,X26,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_882]) ).
fof(c_0_1620,plain,
! [X7,X8,X9,X10] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
| c_HOL_Otimes__class_Otimes(X9,c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X9,X8,X10),c_HOL_Otimes__class_Otimes(X9,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_883]) ).
fof(c_0_1621,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Ocomm__semiring(X20)
| c_HOL_Otimes__class_Otimes(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X19,X17,X20),c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_884]) ).
fof(c_0_1622,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_885]) ).
fof(c_0_1623,plain,
! [X7,X8,X9,X10] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X10)
| c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X9,X8,X10),X7,X10) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X9,X7,X10),c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_886]) ).
fof(c_0_1624,plain,
! [X7,X8,X9,X10] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X10)
| c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X9,X8,X10),X7,X10) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X9,X7,X10),c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_887]) ).
fof(c_0_1625,plain,
! [X28,X29,X30,X31] :
( ~ class_RealVector_Oreal__normed__algebra(X31)
| c_HOL_Otimes__class_Otimes(X29,c_HOL_Ominus__class_Ominus(X30,X28,X31),X31) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X29,X30,X31),c_HOL_Otimes__class_Otimes(X29,X28,X31),X31) ),
inference(variable_rename,[status(thm)],[c_0_888]) ).
fof(c_0_1626,plain,
! [X27,X28,X29,X30] :
( ~ class_RealVector_Oreal__normed__algebra(X30)
| c_HOL_Otimes__class_Otimes(X29,c_HOL_Ominus__class_Ominus(X28,X27,X30),X30) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X29,X28,X30),c_HOL_Otimes__class_Otimes(X29,X27,X30),X30) ),
inference(variable_rename,[status(thm)],[c_0_889]) ).
fof(c_0_1627,plain,
! [X26,X27,X28,X29] :
( ~ class_RealVector_Oreal__normed__algebra(X29)
| c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X28,X27,X29),X26,X29) = c_HOL_Ominus__class_Ominus(c_HOL_Otimes__class_Otimes(X28,X26,X29),c_HOL_Otimes__class_Otimes(X27,X26,X29),X29) ),
inference(variable_rename,[status(thm)],[c_0_890]) ).
fof(c_0_1628,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_891]) ).
fof(c_0_1629,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X20)
| c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,X20),X17,X20) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_892]) ).
fof(c_0_1630,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X20)
| c_HOL_Oplus__class_Oplus(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X19,X18,X20),c_HOL_Oplus__class_Oplus(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_893]) ).
fof(c_0_1631,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X20)
| c_HOL_Oplus__class_Oplus(X19,c_Lattices_Olower__semilattice__class_Oinf(X18,X17,X20),X20) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X19,X18,X20),c_HOL_Oplus__class_Oplus(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_894]) ).
fof(c_0_1632,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X20)
| c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X19,X18,X20),X17,X20) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_895]) ).
fof(c_0_1633,plain,
! [X7,X8,X9,X10] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X10)
| c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X9,X8,X10),X7,X10) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X9,X7,X10),c_HOL_Ominus__class_Ominus(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_896]) ).
fof(c_0_1634,plain,
! [X7,X8,X9,X10] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X10)
| c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X9,X8,X10),X7,X10) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X9,X7,X10),c_HOL_Ominus__class_Ominus(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_897]) ).
fof(c_0_1635,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X20)
| c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X19,X17,X20),X18,X20) = c_Polynomial_OpCons(c_Polynomial_Opoly(X17,X18,X20),c_Polynomial_Osynthetic__div(X17,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_898]) ).
fof(c_0_1636,plain,
! [X6,X7,X8] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X6,X8,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X8,X7,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_899]) ).
fof(c_0_1637,plain,
! [X6,X7,X8] :
( c_lessequals(c_HOL_Otimes__class_Otimes(X8,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X8,X7,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_900]) ).
fof(c_0_1638,plain,
! [X6,X7,X8] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X6,X8,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X8,X7,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_901]) ).
fof(c_0_1639,plain,
! [X6,X7,X8] :
( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X8,X6,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X8,X7,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_902]) ).
fof(c_0_1640,plain,
! [X15,X16,X17] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X17,X15,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X17,X16),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X15,tc_Complex_Ocomplex),X16,tc_RealDef_Oreal) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_903])])]) ).
fof(c_0_1641,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X11,X12,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_904]) ).
fof(c_0_1642,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_905]) ).
fof(c_0_1643,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X13)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_906]) ).
fof(c_0_1644,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X13)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_907]) ).
fof(c_0_1645,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X13)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_908]) ).
fof(c_0_1646,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__ring__abs(X13)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_909]) ).
fof(c_0_1647,plain,
! [X10,X11,X12] :
( ~ class_HOL_Ozero(X12)
| ~ class_HOL_Oeq(X12)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)),c_Polynomial_OpCons(X11,X10,X12),tc_Polynomial_Opoly(X12))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)),X10,tc_Polynomial_Opoly(X12))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_910]) ).
fof(c_0_1648,plain,
! [X11,X12,X13] :
( ~ class_HOL_Ozero(X13)
| ~ class_HOL_Oeq(X13)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X12,X11,X13),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13)),tc_Polynomial_Opoly(X13))
| ~ c_HOL_Oeq__class_Oeq(X11,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13)),tc_Polynomial_Opoly(X13))
| ~ c_HOL_Oeq__class_Oeq(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_911]) ).
fof(c_0_1649,plain,
! [X6,X7] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_912]) ).
fof(c_0_1650,plain,
! [X6,X7] :
( c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X6 = 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_913])])]) ).
fof(c_0_1651,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X21)
| c_HOL_Oplus__class_Oplus(X19,c_Polynomial_Osmult(X20,X18,X21),tc_Polynomial_Opoly(X21)) != c_Polynomial_OpCons(X17,X18,X21)
| X18 = c_Polynomial_Osynthetic__div(X19,X20,X21) ),
inference(variable_rename,[status(thm)],[c_0_914]) ).
fof(c_0_1652,plain,
! [X17,X18,X19,X20,X21] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X21)
| c_HOL_Oplus__class_Oplus(X19,c_Polynomial_Osmult(X20,X18,X21),tc_Polynomial_Opoly(X21)) != c_Polynomial_OpCons(X17,X18,X21)
| X17 = c_Polynomial_Opoly(X19,X20,X21) ),
inference(variable_rename,[status(thm)],[c_0_915]) ).
fof(c_0_1653,plain,
! [X22,X23,X24,X25,X26] :
( ~ class_OrderedGroup_Oab__group__add(X26)
| c_HOL_Oplus__class_Oplus(X24,c_HOL_Oplus__class_Oplus(X23,X22,X26),X26) != c_HOL_Oplus__class_Oplus(X23,X25,X26)
| c_HOL_Oplus__class_Oplus(X24,X22,X26) = X25 ),
inference(variable_rename,[status(thm)],[c_0_916]) ).
fof(c_0_1654,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_917]) ).
fof(c_0_1655,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_918]) ).
fof(c_0_1656,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13)
| c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_919]) ).
fof(c_0_1657,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_920]) ).
fof(c_0_1658,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_921]) ).
fof(c_0_1659,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_922]) ).
fof(c_0_1660,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_923]) ).
fof(c_0_1661,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_924]) ).
fof(c_0_1662,plain,
! [X10,X11,X12] :
( ~ class_HOL_Ozero(X12)
| ~ class_HOL_Oeq(X12)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)),X10,tc_Polynomial_Opoly(X12))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)),c_Polynomial_OpCons(X11,X10,X12),tc_Polynomial_Opoly(X12)) ),
inference(variable_rename,[status(thm)],[c_0_925]) ).
fof(c_0_1663,plain,
! [X11,X12,X13] :
( ~ class_HOL_Ozero(X13)
| ~ class_HOL_Oeq(X13)
| c_HOL_Oeq__class_Oeq(X11,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13)),tc_Polynomial_Opoly(X13))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X12,X11,X13),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13)),tc_Polynomial_Opoly(X13)) ),
inference(variable_rename,[status(thm)],[c_0_926]) ).
fof(c_0_1664,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_927]) ).
fof(c_0_1665,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X7,X8,X10)
| c_HOL_Oord__class_Oless(X7,X9,X10)
| ~ c_HOL_Oord__class_Oless(X7,c_Orderings_Oord__class_Omax(X9,X8,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_928]) ).
fof(c_0_1666,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X8,X7,X10)
| c_HOL_Oord__class_Oless(X9,X7,X10)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X9,X8,X10),X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_929]) ).
fof(c_0_1667,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X8,X7,X10)
| c_lessequals(X9,X7,X10)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X9,X8,X10),X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_930]) ).
fof(c_0_1668,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X7,X8,X10)
| c_lessequals(X7,X9,X10)
| ~ c_lessequals(X7,c_Orderings_Oord__class_Omax(X9,X8,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_931]) ).
fof(c_0_1669,plain,
! [X10,X11,X12] :
( ~ class_HOL_Ozero(X12)
| ~ class_HOL_Oeq(X12)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X12),X11,X12)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)),c_Polynomial_OpCons(X11,X10,X12),tc_Polynomial_Opoly(X12)) ),
inference(variable_rename,[status(thm)],[c_0_932]) ).
fof(c_0_1670,plain,
! [X11,X12,X13] :
( ~ class_HOL_Ozero(X13)
| ~ class_HOL_Oeq(X13)
| c_HOL_Oeq__class_Oeq(X12,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X12,X11,X13),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13)),tc_Polynomial_Opoly(X13)) ),
inference(variable_rename,[status(thm)],[c_0_933]) ).
fof(c_0_1671,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X13)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_934]) ).
fof(c_0_1672,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X13)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_935]) ).
fof(c_0_1673,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X13)
| c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X12,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_936]) ).
fof(c_0_1674,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_937]) ).
fof(c_0_1675,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_938]) ).
fof(c_0_1676,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__semiring__strict(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_939]) ).
fof(c_0_1677,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_940]) ).
fof(c_0_1678,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__ring(X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_941]) ).
fof(c_0_1679,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__ring(X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_942]) ).
fof(c_0_1680,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__ring(X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_943]) ).
fof(c_0_1681,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_944]) ).
fof(c_0_1682,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_945]) ).
fof(c_0_1683,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Otimes__class_Otimes(X12,X11,X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_946]) ).
fof(c_0_1684,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_947]) ).
fof(c_0_1685,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_948]) ).
fof(c_0_1686,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
| c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_949]) ).
fof(c_0_1687,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X13)
| c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_950]) ).
fof(c_0_1688,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X13)
| c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_951]) ).
fof(c_0_1689,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X13)
| c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_952]) ).
fof(c_0_1690,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X13)
| c_lessequals(c_HOL_Otimes__class_Otimes(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_953]) ).
fof(c_0_1691,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Opordered__cancel__semiring(X13)
| c_lessequals(c_HOL_Otimes__class_Otimes(X11,X12,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_954]) ).
fof(c_0_1692,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),c_HOL_Oplus__class_Oplus(X12,X11,X13),X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_955]) ).
fof(c_0_1693,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),c_HOL_Oplus__class_Oplus(X12,X11,X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_956]) ).
fof(c_0_1694,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X13)
| c_lessequals(c_HOL_Ozero__class_Ozero(X13),c_HOL_Oplus__class_Oplus(X12,X11,X13),X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_957]) ).
fof(c_0_1695,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),c_HOL_Oplus__class_Oplus(X12,X11,X13),X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_958]) ).
fof(c_0_1696,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X13)
| c_lessequals(c_HOL_Oplus__class_Oplus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_959]) ).
fof(c_0_1697,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_960]) ).
fof(c_0_1698,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_961]) ).
fof(c_0_1699,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_962]) ).
fof(c_0_1700,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X20)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20)
| ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_963]) ).
fof(c_0_1701,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| c_lessequals(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_964]) ).
fof(c_0_1702,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| c_lessequals(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_965]) ).
fof(c_0_1703,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X20)
| c_lessequals(c_HOL_Oplus__class_Oplus(X19,X17,X20),c_HOL_Oplus__class_Oplus(X18,X17,X20),X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_966]) ).
fof(c_0_1704,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X20)
| c_lessequals(c_HOL_Oplus__class_Oplus(X17,X19,X20),c_HOL_Oplus__class_Oplus(X17,X18,X20),X20)
| ~ c_lessequals(X19,X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_967]) ).
fof(c_0_1705,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| ~ class_OrderedGroup_Ocomm__monoid__add(X20)
| c_lessequals(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
| ~ c_lessequals(X18,X19,X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X17,X20) ),
inference(variable_rename,[status(thm)],[c_0_968]) ).
fof(c_0_1706,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| ~ class_OrderedGroup_Ocomm__monoid__add(X20)
| c_lessequals(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
| ~ c_lessequals(X18,X17,X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_969]) ).
fof(c_0_1707,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| ~ class_OrderedGroup_Ocomm__monoid__add(X20)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
| ~ c_HOL_Oord__class_Oless(X18,X17,X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_970]) ).
fof(c_0_1708,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X20)
| ~ class_OrderedGroup_Ocomm__monoid__add(X20)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
| ~ c_lessequals(X18,X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_971]) ).
fof(c_0_1709,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X13)
| c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_972]) ).
fof(c_0_1710,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semidom(X20)
| c_HOL_Oord__class_Oless(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20)
| ~ c_HOL_Oord__class_Oless(X18,X17,X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_973]) ).
fof(c_0_1711,plain,
! [X6,X7,X8] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X6,X8,tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X6,X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X8,X7,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_974]) ).
fof(c_0_1712,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X9,X8,X10),X7,X10)
| ~ c_HOL_Oord__class_Oless(X8,X7,X10)
| ~ c_HOL_Oord__class_Oless(X9,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_975]) ).
fof(c_0_1713,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X7,c_Orderings_Oord__class_Omin(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(X7,X8,X10)
| ~ c_HOL_Oord__class_Oless(X7,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_976]) ).
fof(c_0_1714,plain,
! [X7,X8,X9,X10] :
( ~ class_Lattices_Olower__semilattice(X10)
| c_lessequals(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10)
| ~ c_lessequals(X9,X7,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_977]) ).
fof(c_0_1715,plain,
! [X7,X8,X9,X10] :
( ~ class_Lattices_Olower__semilattice(X10)
| c_lessequals(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10)
| ~ c_lessequals(X9,X7,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_978]) ).
fof(c_0_1716,plain,
! [X11,X12,X13,X14] :
( ~ class_Lattices_Olower__semilattice(X14)
| c_lessequals(X11,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14),X14)
| ~ c_lessequals(X11,X12,X14)
| ~ c_lessequals(X11,X13,X14) ),
inference(variable_rename,[status(thm)],[c_0_979]) ).
fof(c_0_1717,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(c_Orderings_Oord__class_Omax(X9,X8,X10),X7,X10)
| ~ c_lessequals(X8,X7,X10)
| ~ c_lessequals(X9,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_980]) ).
fof(c_0_1718,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(c_Orderings_Oord__class_Omax(X8,X7,X10),X9,X10)
| ~ c_lessequals(X7,X9,X10)
| ~ c_lessequals(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_981]) ).
fof(c_0_1719,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(c_Orderings_Oord__class_Omax(X13,X12,X14),X11,X14)
| ~ c_lessequals(X12,X11,X14)
| ~ c_lessequals(X13,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_982]) ).
fof(c_0_1720,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X9,c_Orderings_Oord__class_Omin(X8,X7,X10),X10)
| ~ c_lessequals(X9,X7,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_983]) ).
fof(c_0_1721,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X9,c_Orderings_Oord__class_Omin(X8,X7,X10),X10)
| ~ c_lessequals(X9,X7,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_984]) ).
fof(c_0_1722,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(X11,c_Orderings_Oord__class_Omin(X13,X12,X14),X14)
| ~ c_lessequals(X11,X12,X14)
| ~ c_lessequals(X11,X13,X14) ),
inference(variable_rename,[status(thm)],[c_0_985]) ).
fof(c_0_1723,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_HOL_Oabs__class_Oabs(c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13),X13) = c_HOL_Oplus__class_Oplus(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_986]) ).
fof(c_0_1724,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Otimes__class_Otimes(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X7,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_987]) ).
fof(c_0_1725,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__idom(X20)
| X18 = c_HOL_Ozero__class_Ozero(X20)
| c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
| ~ c_lessequals(c_Power_Opower__class_Opower(X18,X19,X20),c_HOL_Ozero__class_Ozero(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_988]) ).
fof(c_0_1726,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X11,X12),c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_989]) ).
fof(c_0_1727,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oordered__idom(X12)
| c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X11,X12),c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_990]) ).
fof(c_0_1728,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),c_HOL_Oplus__class_Oplus(X11,X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_991]) ).
fof(c_0_1729,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__idom(X20)
| c_HOL_Oord__class_Oless(X18,c_HOL_Ozero__class_Ozero(X20),X20)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X18,X19,X20),c_HOL_Ozero__class_Ozero(X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_992]) ).
fof(c_0_1730,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),c_HOL_Oplus__class_Oplus(X11,X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_993]) ).
fof(c_0_1731,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X11,X11,X12),c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_994]) ).
fof(c_0_1732,plain,
! [X7,X8,X9,X10] :
( ~ class_Lattices_Olower__semilattice(X10)
| c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) = c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X9,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_995]) ).
fof(c_0_1733,plain,
! [X7,X8,X9,X10] :
( ~ class_Lattices_Olower__semilattice(X10)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X7,X10) = c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_996]) ).
fof(c_0_1734,plain,
! [X7,X8,X9,X10] :
( ~ class_Lattices_Olattice(X10)
| c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) = c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X9,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_997]) ).
fof(c_0_1735,plain,
! [X7,X8,X9,X10] :
( ~ class_Lattices_Olattice(X10)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X9,X8,X10),X7,X10) = c_Lattices_Olower__semilattice__class_Oinf(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_998]) ).
fof(c_0_1736,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Oab__semigroup__mult(X20)
| c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X19,X18,X20),X17,X20) = c_HOL_Otimes__class_Otimes(X19,c_HOL_Otimes__class_Otimes(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_999]) ).
fof(c_0_1737,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_1000]) ).
fof(c_0_1738,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_1001]) ).
fof(c_0_1739,plain,
! [X32,X33,X34,X35] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X35)
| c_HOL_Otimes__class_Otimes(X34,c_HOL_Otimes__class_Otimes(X33,X32,X35),X35) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X34,X33,X35),X32,X35) ),
inference(variable_rename,[status(thm)],[c_0_1002]) ).
fof(c_0_1740,plain,
! [X32,X33,X34,X35] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X35)
| c_HOL_Otimes__class_Otimes(X34,c_HOL_Otimes__class_Otimes(X33,X32,X35),X35) = c_HOL_Otimes__class_Otimes(X33,c_HOL_Otimes__class_Otimes(X34,X32,X35),X35) ),
inference(variable_rename,[status(thm)],[c_0_1003]) ).
fof(c_0_1741,plain,
! [X7,X8,X9,X10] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
| c_HOL_Otimes__class_Otimes(X9,c_HOL_Otimes__class_Otimes(X8,X7,X10),X10) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X9,X8,X10),X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1004]) ).
fof(c_0_1742,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X20)
| c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) = c_HOL_Oplus__class_Oplus(X18,c_HOL_Oplus__class_Oplus(X19,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1005]) ).
fof(c_0_1743,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X20)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1006]) ).
fof(c_0_1744,plain,
! [X7,X8,X9,X10] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X10)
| c_HOL_Oplus__class_Oplus(X9,c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X9,X8,X10),X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1007]) ).
fof(c_0_1745,plain,
! [X7,X8,X9,X10] :
( ~ class_OrderedGroup_Oab__group__add(X10)
| c_HOL_Oplus__class_Oplus(X9,c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Oplus__class_Oplus(X9,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1008]) ).
fof(c_0_1746,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Oab__semigroup__add(X20)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1009]) ).
fof(c_0_1747,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_1010]) ).
fof(c_0_1748,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X17,X20),X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_1011]) ).
fof(c_0_1749,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_1012]) ).
fof(c_0_1750,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
| c_HOL_Oplus__class_Oplus(c_HOL_Oplus__class_Oplus(X19,X18,X20),X17,X20) = c_HOL_Oplus__class_Oplus(X19,c_HOL_Oplus__class_Oplus(X18,X17,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1013]) ).
fof(c_0_1751,plain,
! [X11,X12,X13,X14] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X14)
| c_Polynomial_Opoly(c_Polynomial_Osmult(X13,X12,X14),X11,X14) = c_HOL_Otimes__class_Otimes(X13,c_Polynomial_Opoly(X12,X11,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_1014]) ).
fof(c_0_1752,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X9,X8,X10),X7,X10) = c_Orderings_Oord__class_Omin(X9,c_Orderings_Oord__class_Omin(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1015]) ).
fof(c_0_1753,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_Orderings_Oord__class_Omin(X9,c_Orderings_Oord__class_Omin(X8,X7,X10),X10) = c_Orderings_Oord__class_Omin(X8,c_Orderings_Oord__class_Omin(X9,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1016]) ).
fof(c_0_1754,plain,
! [X18,X19,X20] :
( ~ class_OrderedGroup_Omonoid__mult(X20)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X19,X18,X20),X19,X20) = c_HOL_Otimes__class_Otimes(X19,c_Power_Opower__class_Opower(X19,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1017]) ).
fof(c_0_1755,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_Orderings_Oord__class_Omax(X9,c_Orderings_Oord__class_Omax(X8,X7,X10),X10) = c_Orderings_Oord__class_Omax(X8,c_Orderings_Oord__class_Omax(X9,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1018]) ).
fof(c_0_1756,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X9,X8,X10),X7,X10) = c_Orderings_Oord__class_Omax(X9,c_Orderings_Oord__class_Omax(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1019]) ).
fof(c_0_1757,plain,
! [X11,X12,X13,X14] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X14)
| c_Polynomial_Osmult(X13,c_Polynomial_Osmult(X12,X11,X14),X14) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X13,X12,X14),X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1020]) ).
fof(c_0_1758,plain,
! [X9,X10,X11,X12] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X12)
| c_Polynomial_Opoly(c_Polynomial_Opcompose(X11,X10,X12),X9,X12) = c_Polynomial_Opoly(X11,c_Polynomial_Opoly(X10,X9,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1021]) ).
fof(c_0_1759,plain,
! [X7] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X7)
| c_HOL_Oplus__class_Oplus(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1022]) ).
fof(c_0_1760,plain,
! [X6,X7] :
( c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1023]) ).
fof(c_0_1761,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1024]) ).
fof(c_0_1762,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1025]) ).
fof(c_0_1763,plain,
! [X6,X7] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1026]) ).
fof(c_0_1764,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_lessequals(X12,X11,X13)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1027]) ).
fof(c_0_1765,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_HOL_Oord__class_Oless(X12,X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1028]) ).
fof(c_0_1766,plain,
! [X20,X21,X22,X23,X24] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X24)
| c_HOL_Ominus__class_Ominus(X23,X21,X24) != c_HOL_Ominus__class_Ominus(X22,X20,X24)
| c_HOL_Oord__class_Oless(X23,X21,X24)
| ~ c_HOL_Oord__class_Oless(X22,X20,X24) ),
inference(variable_rename,[status(thm)],[c_0_1029]) ).
fof(c_0_1767,plain,
! [X20,X21,X22,X23,X24] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X24)
| c_HOL_Ominus__class_Ominus(X23,X21,X24) != c_HOL_Ominus__class_Ominus(X22,X20,X24)
| c_HOL_Oord__class_Oless(X22,X20,X24)
| ~ c_HOL_Oord__class_Oless(X23,X21,X24) ),
inference(variable_rename,[status(thm)],[c_0_1030]) ).
fof(c_0_1768,plain,
! [X20,X21,X22,X23,X24] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X24)
| c_HOL_Ominus__class_Ominus(X23,X21,X24) != c_HOL_Ominus__class_Ominus(X22,X20,X24)
| c_lessequals(X20,X22,X24)
| ~ c_lessequals(X21,X23,X24) ),
inference(variable_rename,[status(thm)],[c_0_1031]) ).
fof(c_0_1769,plain,
! [X20,X21,X22,X23,X24] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X24)
| c_HOL_Ominus__class_Ominus(X23,X21,X24) != c_HOL_Ominus__class_Ominus(X22,X20,X24)
| c_lessequals(X21,X23,X24)
| ~ c_lessequals(X20,X22,X24) ),
inference(variable_rename,[status(thm)],[c_0_1032]) ).
fof(c_0_1770,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X8,X7,X10)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X9,X8,X10),X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1033]) ).
fof(c_0_1771,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X9,X7,X10)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X9,X8,X10),X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1034]) ).
fof(c_0_1772,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X7,X8,X10)
| ~ c_HOL_Oord__class_Oless(X7,c_Orderings_Oord__class_Omin(X9,X8,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1035]) ).
fof(c_0_1773,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X7,X9,X10)
| ~ c_HOL_Oord__class_Oless(X7,c_Orderings_Oord__class_Omin(X9,X8,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1036]) ).
fof(c_0_1774,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X8,X7,X10)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X9,X8,X10),X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1037]) ).
fof(c_0_1775,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X9,X7,X10)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X9,X8,X10),X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1038]) ).
fof(c_0_1776,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(X12,X11,X14)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X13,X12,X14),X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1039]) ).
fof(c_0_1777,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(X13,X11,X14)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X13,X12,X14),X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1040]) ).
fof(c_0_1778,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X9,X7,X10)
| ~ c_lessequals(X9,c_Orderings_Oord__class_Omin(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1041]) ).
fof(c_0_1779,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X9,X8,X10)
| ~ c_lessequals(X9,c_Orderings_Oord__class_Omin(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1042]) ).
fof(c_0_1780,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(X11,X12,X14)
| ~ c_lessequals(X11,c_Orderings_Oord__class_Omin(X13,X12,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_1043]) ).
fof(c_0_1781,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(X11,X13,X14)
| ~ c_lessequals(X11,c_Orderings_Oord__class_Omin(X13,X12,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_1044]) ).
fof(c_0_1782,plain,
! [X7,X8,X9,X10] :
( ~ class_Lattices_Olower__semilattice(X10)
| c_lessequals(X9,X7,X10)
| ~ c_lessequals(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1045]) ).
fof(c_0_1783,plain,
! [X7,X8,X9,X10] :
( ~ class_Lattices_Olower__semilattice(X10)
| c_lessequals(X9,X8,X10)
| ~ c_lessequals(X9,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X10),X10) ),
inference(variable_rename,[status(thm)],[c_0_1046]) ).
fof(c_0_1784,plain,
! [X11,X12,X13,X14] :
( ~ class_Lattices_Olower__semilattice(X14)
| c_lessequals(X11,X12,X14)
| ~ c_lessequals(X11,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_1047]) ).
fof(c_0_1785,plain,
! [X11,X12,X13,X14] :
( ~ class_Lattices_Olower__semilattice(X14)
| c_lessequals(X11,X13,X14)
| ~ c_lessequals(X11,c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14),X14) ),
inference(variable_rename,[status(thm)],[c_0_1048]) ).
fof(c_0_1786,plain,
! [X6,X7] :
( c_lessequals(X7,X6,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1049]) ).
fof(c_0_1787,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X7,X9),X8,X9) = c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X7,X8,X9),X9)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X9),X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1050]) ).
fof(c_0_1788,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X13)
| c_lessequals(c_HOL_Oplus__class_Oplus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1051]) ).
fof(c_0_1789,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__idom(X13)
| c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X12,X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1052]) ).
fof(c_0_1790,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_lessequals(c_HOL_Oabs__class_Oabs(X12,X13),X11,X13)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13)
| ~ c_lessequals(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1053]) ).
fof(c_0_1791,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_lessequals(c_HOL_Oabs__class_Oabs(X12,X13),X11,X13)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13)
| ~ c_lessequals(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1054]) ).
fof(c_0_1792,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__idom(X20)
| c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X19,X20),X18,X20),X20) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X19,X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1055]) ).
fof(c_0_1793,plain,
! [X7,X8,X9] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X9)
| c_HOL_Oplus__class_Oplus(X8,X7,X9) != c_HOL_Ozero__class_Ozero(X9)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X9),X7,X9)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X9),X8,X9)
| X7 = c_HOL_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[c_0_1056]) ).
fof(c_0_1794,plain,
! [X7,X8,X9] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X9)
| c_HOL_Oplus__class_Oplus(X8,X7,X9) != c_HOL_Ozero__class_Ozero(X9)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X9),X7,X9)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X9),X8,X9)
| X8 = c_HOL_Ozero__class_Ozero(X9) ),
inference(variable_rename,[status(thm)],[c_0_1057]) ).
fof(c_0_1795,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_1058]) ).
fof(c_0_1796,plain,
! [X7] :
( ~ class_OrderedGroup_Opordered__comm__monoid__add(X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1059]) ).
fof(c_0_1797,plain,
! [X6,X7] :
( c_lessequals(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1060]) ).
fof(c_0_1798,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1061]) ).
fof(c_0_1799,plain,
! [X15,X16] :
( c_lessequals(c_HOL_Oabs__class_Oabs(X15,tc_RealDef_Oreal),X16,tc_RealDef_Oreal)
| ~ c_lessequals(X15,X16,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X16,tc_RealDef_Oreal),X15,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1062]) ).
fof(c_0_1800,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X6,c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1063]) ).
fof(c_0_1801,plain,
! [X6,X7] :
( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal),X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1064]) ).
fof(c_0_1802,plain,
! [X7,X8,X9,X10] :
( ~ class_OrderedGroup_Oab__group__add(X10)
| c_HOL_Oplus__class_Oplus(X9,c_HOL_Oplus__class_Oplus(X8,X7,X10),X10) != X8
| X9 = c_HOL_Ouminus__class_Ouminus(X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1065]) ).
fof(c_0_1803,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__idom(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13)
| c_Polynomial_Opos__poly(X11,X13)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1066]) ).
fof(c_0_1804,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X11,X12),c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1067]) ).
fof(c_0_1805,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oordered__idom(X12)
| c_HOL_Oord__class_Oless(c_HOL_Oplus__class_Oplus(X11,X11,X12),c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1068]) ).
fof(c_0_1806,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),c_HOL_Oplus__class_Oplus(X11,X11,X12),X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1069]) ).
fof(c_0_1807,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X11,X11,X12),c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1070]) ).
fof(c_0_1808,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_lessequals(c_HOL_Ozero__class_Ozero(X12),c_HOL_Oplus__class_Oplus(X11,X11,X12),X12)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1071]) ).
fof(c_0_1809,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__idom(X20)
| c_lessequals(c_HOL_Ozero__class_Ozero(X20),c_Power_Opower__class_Opower(X19,X18,X20),X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_1072]) ).
fof(c_0_1810,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semidom(X20)
| c_lessequals(c_HOL_Ozero__class_Ozero(X20),c_Power_Opower__class_Opower(X19,X18,X20),X20)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_1073]) ).
fof(c_0_1811,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__semidom(X20)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),c_Power_Opower__class_Opower(X19,X18,X20),X20)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
inference(variable_rename,[status(thm)],[c_0_1074]) ).
fof(c_0_1812,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_lessequals(c_HOL_Oplus__class_Oplus(X11,X11,X12),c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1075]) ).
fof(c_0_1813,plain,
! [X6,X7] :
( c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1076]) ).
fof(c_0_1814,plain,
! [X6,X7] :
( c_HOL_Otimes__class_Otimes(X7,X7,tc_RealDef_Oreal) != c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X6,X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| X6 = 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_1077])])]) ).
fof(c_0_1815,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_lessequals(c_HOL_Ominus__class_Ominus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_lessequals(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1078]) ).
fof(c_0_1816,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X12,X11,X13),c_HOL_Ozero__class_Ozero(X13),X13)
| ~ c_HOL_Oord__class_Oless(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1079]) ).
fof(c_0_1817,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oordered__idom(X12)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X11,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)),X12),X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1080]) ).
fof(c_0_1818,plain,
! [X11,X12,X13,X14] :
( ~ class_Lattices_Olower__semilattice(X14)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14),X11,X14)
| ~ c_HOL_Oord__class_Oless(X12,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1081]) ).
fof(c_0_1819,plain,
! [X11,X12,X13,X14] :
( ~ class_Lattices_Olower__semilattice(X14)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14),X11,X14)
| ~ c_HOL_Oord__class_Oless(X13,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1082]) ).
fof(c_0_1820,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X7,c_Orderings_Oord__class_Omax(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(X7,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1083]) ).
fof(c_0_1821,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(X7,c_Orderings_Oord__class_Omax(X9,X8,X10),X10)
| ~ c_HOL_Oord__class_Oless(X7,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1084]) ).
fof(c_0_1822,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_HOL_Oord__class_Oless(X11,c_Orderings_Oord__class_Omax(X13,X12,X14),X14)
| ~ c_HOL_Oord__class_Oless(X11,X12,X14) ),
inference(variable_rename,[status(thm)],[c_0_1085]) ).
fof(c_0_1823,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_HOL_Oord__class_Oless(X11,c_Orderings_Oord__class_Omax(X13,X12,X14),X14)
| ~ c_HOL_Oord__class_Oless(X11,X13,X14) ),
inference(variable_rename,[status(thm)],[c_0_1086]) ).
fof(c_0_1824,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X9,X8,X10),X7,X10)
| ~ c_HOL_Oord__class_Oless(X8,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1087]) ).
fof(c_0_1825,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X9,X8,X10),X7,X10)
| ~ c_HOL_Oord__class_Oless(X9,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1088]) ).
fof(c_0_1826,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X13,X12,X14),X11,X14)
| ~ c_HOL_Oord__class_Oless(X12,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1089]) ).
fof(c_0_1827,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X13,X12,X14),X11,X14)
| ~ c_HOL_Oord__class_Oless(X13,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1090]) ).
fof(c_0_1828,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X7,c_Orderings_Oord__class_Omax(X9,X8,X10),X10)
| ~ c_lessequals(X7,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1091]) ).
fof(c_0_1829,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(X7,c_Orderings_Oord__class_Omax(X9,X8,X10),X10)
| ~ c_lessequals(X7,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1092]) ).
fof(c_0_1830,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(X11,c_Orderings_Oord__class_Omax(X13,X12,X14),X14)
| ~ c_lessequals(X11,X12,X14) ),
inference(variable_rename,[status(thm)],[c_0_1093]) ).
fof(c_0_1831,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(X11,c_Orderings_Oord__class_Omax(X13,X12,X14),X14)
| ~ c_lessequals(X11,X13,X14) ),
inference(variable_rename,[status(thm)],[c_0_1094]) ).
fof(c_0_1832,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(c_Orderings_Oord__class_Omin(X9,X8,X10),X7,X10)
| ~ c_lessequals(X8,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1095]) ).
fof(c_0_1833,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Olinorder(X10)
| c_lessequals(c_Orderings_Oord__class_Omin(X9,X8,X10),X7,X10)
| ~ c_lessequals(X9,X7,X10) ),
inference(variable_rename,[status(thm)],[c_0_1096]) ).
fof(c_0_1834,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(c_Orderings_Oord__class_Omin(X13,X12,X14),X11,X14)
| ~ c_lessequals(X12,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1097]) ).
fof(c_0_1835,plain,
! [X11,X12,X13,X14] :
( ~ class_Orderings_Olinorder(X14)
| c_lessequals(c_Orderings_Oord__class_Omin(X13,X12,X14),X11,X14)
| ~ c_lessequals(X13,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1098]) ).
fof(c_0_1836,plain,
! [X11,X12,X13,X14] :
( ~ class_Lattices_Olower__semilattice(X14)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14),X11,X14)
| ~ c_lessequals(X12,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1099]) ).
fof(c_0_1837,plain,
! [X11,X12,X13,X14] :
( ~ class_Lattices_Olower__semilattice(X14)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X13,X12,X14),X11,X14)
| ~ c_lessequals(X13,X11,X14) ),
inference(variable_rename,[status(thm)],[c_0_1100]) ).
fof(c_0_1838,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13) = c_HOL_Oabs__class_Oabs(c_HOL_Ominus__class_Ominus(X11,X12,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1101]) ).
fof(c_0_1839,plain,
! [X11,X12,X13] :
( ~ class_RealVector_Oreal__normed__vector(X13)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13) = c_RealVector_Onorm__class_Onorm(c_HOL_Ominus__class_Ominus(X11,X12,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1102]) ).
fof(c_0_1840,plain,
! [X6,X7] :
( c_lessequals(c_HOL_Ominus__class_Ominus(X7,X6,tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1103]) ).
fof(c_0_1841,plain,
! [X7,X8,X9] :
( ~ class_SEQ_Obanach(X9)
| ~ class_RealVector_Oreal__normed__field(X9)
| c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X8,X7,X9),X9) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X8,X9),c_Transcendental_Oexp(X7,X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_1104]) ).
fof(c_0_1842,plain,
! [X7,X8,X9] :
( ~ class_SEQ_Obanach(X9)
| ~ class_RealVector_Oreal__normed__field(X9)
| c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X8,X9),c_Transcendental_Oexp(X7,X9),X9) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X8,X7,X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_1105]) ).
fof(c_0_1843,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| c_HOL_Oord__class_Oless(X7,X9,X10)
| ~ c_HOL_Oord__class_Oless(X7,X8,X10)
| ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1106]) ).
fof(c_0_1844,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Opreorder(X10)
| c_HOL_Oord__class_Oless(X9,X7,X10)
| ~ c_HOL_Oord__class_Oless(X8,X7,X10)
| ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1107]) ).
fof(c_0_1845,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| c_HOL_Oord__class_Oless(X7,X9,X10)
| ~ c_lessequals(X7,X8,X10)
| ~ c_HOL_Oord__class_Oless(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1108]) ).
fof(c_0_1846,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| c_HOL_Oord__class_Oless(X7,X9,X10)
| ~ c_HOL_Oord__class_Oless(X7,X8,X10)
| ~ c_lessequals(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1109]) ).
fof(c_0_1847,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Opreorder(X10)
| c_HOL_Oord__class_Oless(X9,X7,X10)
| ~ c_lessequals(X8,X7,X10)
| ~ c_HOL_Oord__class_Oless(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1110]) ).
fof(c_0_1848,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Opreorder(X10)
| c_HOL_Oord__class_Oless(X9,X7,X10)
| ~ c_HOL_Oord__class_Oless(X8,X7,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1111]) ).
fof(c_0_1849,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Oorder(X10)
| c_lessequals(X7,X9,X10)
| ~ c_lessequals(X7,X8,X10)
| ~ c_lessequals(X8,X9,X10) ),
inference(variable_rename,[status(thm)],[c_0_1112]) ).
fof(c_0_1850,plain,
! [X7,X8,X9,X10] :
( ~ class_Orderings_Opreorder(X10)
| c_lessequals(X9,X7,X10)
| ~ c_lessequals(X8,X7,X10)
| ~ c_lessequals(X9,X8,X10) ),
inference(variable_rename,[status(thm)],[c_0_1113]) ).
fof(c_0_1851,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__idom(X13)
| c_HOL_Oabs__class_Oabs(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X12,X13),c_HOL_Oabs__class_Oabs(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1114]) ).
fof(c_0_1852,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Oab__group__add(X13)
| c_HOL_Ominus__class_Ominus(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1115]) ).
fof(c_0_1853,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X12,X11,X13),X13) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X13),c_HOL_Ouminus__class_Ouminus(X12,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1116]) ).
fof(c_0_1854,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Oab__group__add(X13)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Oplus__class_Oplus(X12,X11,X13),X13) = c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1117]) ).
fof(c_0_1855,plain,
! [X7,X8,X9] :
( ~ class_RealVector_Oreal__normed__div__algebra(X9)
| c_RealVector_Onorm__class_Onorm(c_HOL_Otimes__class_Otimes(X8,X7,X9),X9) = c_HOL_Otimes__class_Otimes(c_RealVector_Onorm__class_Onorm(X8,X9),c_RealVector_Onorm__class_Onorm(X7,X9),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1118]) ).
fof(c_0_1856,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_HOL_Oord__class_Oless(X12,X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X13),c_HOL_Ouminus__class_Ouminus(X12,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1119]) ).
fof(c_0_1857,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_lessequals(X12,X11,X13)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X13),c_HOL_Ouminus__class_Ouminus(X12,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1120]) ).
fof(c_0_1858,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__idom(X20)
| c_lessequals(c_HOL_Ozero__class_Ozero(X20),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X19,X20),X18,X20),X20) ),
inference(variable_rename,[status(thm)],[c_0_1121]) ).
fof(c_0_1859,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__idom(X13)
| X11 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13))
| c_Polynomial_Opos__poly(X11,X13)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1122]) ).
fof(c_0_1860,plain,
! [X7,X8,X9] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X9)
| c_HOL_Otimes__class_Otimes(X8,c_HOL_Otimes__class_Otimes(X8,X7,X9),X9) = c_HOL_Otimes__class_Otimes(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1123]) ).
fof(c_0_1861,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omin(X8,c_Orderings_Oord__class_Omin(X8,X7,X9),X9) = c_Orderings_Oord__class_Omin(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1124]) ).
fof(c_0_1862,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omax(X8,c_Orderings_Oord__class_Omax(X8,X7,X9),X9) = c_Orderings_Oord__class_Omax(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1125]) ).
fof(c_0_1863,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X9) = c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1126]) ).
fof(c_0_1864,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olower__semilattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X9) = c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1127]) ).
fof(c_0_1865,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Oplus__class_Oplus(X12,c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13),X13) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1128]) ).
fof(c_0_1866,plain,
! [X14,X15,X16] :
( c_lessequals(X16,X14,tc_RealDef_Oreal)
| ~ c_lessequals(X15,X14,tc_RealDef_Oreal)
| ~ c_lessequals(X16,X15,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1129]) ).
fof(c_0_1867,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X12,X13),X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1130]) ).
fof(c_0_1868,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__idom(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X12,X13),X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1131]) ).
fof(c_0_1869,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_1132]) ).
fof(c_0_1870,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X13),X12,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1133]) ).
fof(c_0_1871,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_HOL_Oord__class_Oless(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ouminus__class_Ouminus(X12,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1134]) ).
fof(c_0_1872,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_HOL_Oord__class_Oless(X11,c_HOL_Ouminus__class_Ouminus(X12,X13),X13)
| ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1135]) ).
fof(c_0_1873,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X13),X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_1136]) ).
fof(c_0_1874,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X13),X12,X13)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1137]) ).
fof(c_0_1875,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13)
| ~ c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X12,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1138]) ).
fof(c_0_1876,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X12,X13),X13)
| ~ c_lessequals(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1139]) ).
fof(c_0_1877,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X7,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1140]) ).
fof(c_0_1878,plain,
! [X6,X7] :
( c_lessequals(X7,X6,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oexp(X7,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1141]) ).
fof(c_0_1879,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oring(X13)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1142]) ).
fof(c_0_1880,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oring(X13)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) = c_HOL_Otimes__class_Otimes(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1143]) ).
fof(c_0_1881,plain,
! [X11,X12,X13] :
( ~ class_RealVector_Oreal__normed__algebra(X13)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1144]) ).
fof(c_0_1882,plain,
! [X7,X8,X9] :
( ~ class_RealVector_Oreal__normed__algebra(X9)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X8,X9),X7,X9) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X8,X7,X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_1145]) ).
fof(c_0_1883,plain,
! [X11,X12,X13] :
( ~ class_RealVector_Oreal__normed__algebra(X13)
| c_HOL_Otimes__class_Otimes(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X12,X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1146]) ).
fof(c_0_1884,plain,
! [X28,X29,X30] :
( ~ class_RealVector_Oreal__normed__algebra(X30)
| c_HOL_Otimes__class_Otimes(X28,c_HOL_Ouminus__class_Ouminus(X29,X30),X30) = c_HOL_Ouminus__class_Ouminus(c_HOL_Otimes__class_Otimes(X28,X29,X30),X30) ),
inference(variable_rename,[status(thm)],[c_0_1147]) ).
fof(c_0_1885,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Oordered__idom(X20)
| c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X19,X18,X20),X20) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X19,X20),X18,X20) ),
inference(variable_rename,[status(thm)],[c_0_1148]) ).
fof(c_0_1886,plain,
! [X18,X19,X20] :
( ~ class_RealVector_Oreal__normed__div__algebra(X20)
| c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X18,X19,X20),X20) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X18,X20),X19,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1149]) ).
fof(c_0_1887,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X12)
| c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X12),c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1150]) ).
fof(c_0_1888,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X12)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X12),c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1151]) ).
fof(c_0_1889,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X12)
| c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),c_HOL_Ouminus__class_Ouminus(X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1152]) ).
fof(c_0_1890,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X12)
| c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),c_HOL_Ouminus__class_Ouminus(X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1153]) ).
fof(c_0_1891,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Opreorder(X9)
| c_HOL_Oord__class_Oless(X8,X7,X9)
| c_lessequals(X7,X8,X9)
| ~ c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1154]) ).
fof(c_0_1892,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X13),c_HOL_Ouminus__class_Ouminus(X12,X13),X13)
| ~ c_HOL_Oord__class_Oless(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1155]) ).
fof(c_0_1893,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X13),c_HOL_Ouminus__class_Ouminus(X12,X13),X13)
| ~ c_lessequals(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1156]) ).
fof(c_0_1894,plain,
! [X15,X16] :
( c_lessequals(c_HOL_Ouminus__class_Ouminus(X16,tc_RealDef_Oreal),X15,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X15,tc_RealDef_Oreal),X16,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1157]) ).
fof(c_0_1895,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oidom(X13)
| c_HOL_Otimes__class_Otimes(X12,X12,X13) != c_HOL_Otimes__class_Otimes(X11,X11,X13)
| X12 = c_HOL_Ouminus__class_Ouminus(X11,X13)
| X12 = X11 ),
inference(variable_rename,[status(thm)],[c_0_1158]) ).
fof(c_0_1896,plain,
! [X7,X8,X9] :
( ~ class_OrderedGroup_Oab__group__add(X9)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X7,X9),c_HOL_Oplus__class_Oplus(X8,X7,X9),X9) = X8 ),
inference(variable_rename,[status(thm)],[c_0_1159]) ).
fof(c_0_1897,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Oplus__class_Oplus(X12,X11,X13),X13) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1160]) ).
fof(c_0_1898,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1161]) ).
fof(c_0_1899,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1162]) ).
fof(c_0_1900,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X12)
| c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1163]) ).
fof(c_0_1901,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X12)
| c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12)
| ~ c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1164]) ).
fof(c_0_1902,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oordered__idom(X12)
| c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ouminus__class_Ouminus(X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1165]) ).
fof(c_0_1903,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X12)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X12),c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1166]) ).
fof(c_0_1904,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X12)
| c_HOL_Oord__class_Oless(c_HOL_Ouminus__class_Ouminus(X11,X12),c_HOL_Ozero__class_Ozero(X12),X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1167]) ).
fof(c_0_1905,plain,
! [X17,X18,X19,X20] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X20)
| c_Polynomial_Osmult(X18,X17,X20) != c_Polynomial_OpCons(X19,X17,X20)
| X17 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X20)) ),
inference(variable_rename,[status(thm)],[c_0_1168]) ).
fof(c_0_1906,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X12)
| c_lessequals(c_HOL_Ozero__class_Ozero(X12),c_HOL_Ouminus__class_Ouminus(X11,X12),X12)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1169]) ).
fof(c_0_1907,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add(X12)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),c_HOL_Ouminus__class_Ouminus(X11,X12),X12)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1170]) ).
fof(c_0_1908,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__idom(X13)
| c_HOL_Oord__class_Oless(X12,X11,X13)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X12,X13),X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1171]) ).
fof(c_0_1909,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
| c_lessequals(X12,X11,X13)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X12,X13),X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1172]) ).
fof(c_0_1910,plain,
! [X7,X8,X9,X10] :
( ~ class_Ring__and__Field_Oidom(X10)
| ~ class_Int_Onumber__ring(X10)
| c_HOL_Oplus__class_Oplus(X9,X8,X10) != c_HOL_Oplus__class_Oplus(X9,X7,X10)
| X8 = X7 ),
inference(variable_rename,[status(thm)],[c_0_1173]) ).
fof(c_0_1911,plain,
! [X9,X10,X11] :
( ~ class_Ring__and__Field_Oordered__idom(X11)
| c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X10,X9,tc_Polynomial_Opoly(X11)),X11)
| ~ c_Polynomial_Opos__poly(X9,X11)
| ~ c_Polynomial_Opos__poly(X10,X11) ),
inference(variable_rename,[status(thm)],[c_0_1174]) ).
fof(c_0_1912,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X11,X12),X12)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1175]) ).
fof(c_0_1913,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X12),X11,X12)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1176]) ).
fof(c_0_1914,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X12)
| c_lessequals(X11,c_HOL_Ouminus__class_Ouminus(X11,X12),X12)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1177]) ).
fof(c_0_1915,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X12)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X12),X11,X12)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1178]) ).
fof(c_0_1916,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oordered__idom(X12)
| c_HOL_Oord__class_Oless(X11,c_HOL_Ouminus__class_Ouminus(X11,X12),X12)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1179]) ).
fof(c_0_1917,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X7,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1180]) ).
fof(c_0_1918,plain,
! [X6,X7] :
( c_lessequals(c_Transcendental_Oexp(X7,tc_RealDef_Oreal),c_Transcendental_Oexp(X6,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1181]) ).
fof(c_0_1919,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Oab__group__add(X13)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ominus__class_Ominus(X12,X11,X13),X13) = c_HOL_Ominus__class_Ominus(X11,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_1182]) ).
fof(c_0_1920,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Oorder(X9)
| X8 = X7
| ~ c_lessequals(X8,X7,X9)
| ~ c_lessequals(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1183]) ).
fof(c_0_1921,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Oorder(X9)
| X8 = X7
| ~ c_lessequals(X7,X8,X9)
| ~ c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1184]) ).
fof(c_0_1922,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Oorder(X9)
| X8 = X7
| ~ c_lessequals(X7,X8,X9)
| ~ c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1185]) ).
fof(c_0_1923,plain,
! [X20,X21,X22,X23] :
( ~ class_OrderedGroup_Oab__group__add(X23)
| c_HOL_Ominus__class_Ominus(X22,X22,X23) != c_HOL_Ominus__class_Ominus(X21,X20,X23)
| X21 = X20 ),
inference(variable_rename,[status(thm)],[c_0_1186]) ).
fof(c_0_1924,plain,
! [X28,X29,X30,X31] :
( ~ class_OrderedGroup_Oab__group__add(X31)
| c_HOL_Ominus__class_Ominus(X29,X28,X31) != c_HOL_Ominus__class_Ominus(X30,X30,X31)
| X29 = X28 ),
inference(variable_rename,[status(thm)],[c_0_1187]) ).
fof(c_0_1925,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X20)
| c_HOL_Oplus__class_Oplus(X19,X18,X20) != c_HOL_Oplus__class_Oplus(X19,X17,X20)
| X18 = X17 ),
inference(variable_rename,[status(thm)],[c_0_1188]) ).
fof(c_0_1926,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X20)
| c_HOL_Oplus__class_Oplus(X19,X18,X20) != c_HOL_Oplus__class_Oplus(X19,X17,X20)
| X18 = X17 ),
inference(variable_rename,[status(thm)],[c_0_1189]) ).
fof(c_0_1927,plain,
! [X17,X18,X19,X20] :
( ~ class_OrderedGroup_Ocancel__semigroup__add(X20)
| c_HOL_Oplus__class_Oplus(X18,X19,X20) != c_HOL_Oplus__class_Oplus(X17,X19,X20)
| X18 = X17 ),
inference(variable_rename,[status(thm)],[c_0_1190]) ).
fof(c_0_1928,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_HOL_Ozero(X15)
| c_Polynomial_OpCons(X14,X12,X15) != c_Polynomial_OpCons(X13,X11,X15)
| X14 = X13 ),
inference(variable_rename,[status(thm)],[c_0_1191]) ).
fof(c_0_1929,plain,
! [X11,X12,X13,X14,X15] :
( ~ class_HOL_Ozero(X15)
| c_Polynomial_OpCons(X14,X12,X15) != c_Polynomial_OpCons(X13,X11,X15)
| X12 = X11 ),
inference(variable_rename,[status(thm)],[c_0_1192]) ).
fof(c_0_1930,plain,
! [X11,X12,X13] :
( ~ class_Orderings_Opreorder(X13)
| ~ c_HOL_Oord__class_Oless(X11,X12,X13)
| ~ c_HOL_Oord__class_Oless(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1193]) ).
fof(c_0_1931,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Opreorder(X9)
| ~ c_HOL_Oord__class_Oless(X7,X8,X9)
| ~ c_HOL_Oord__class_Oless(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1194]) ).
fof(c_0_1932,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| ~ c_HOL_Oord__class_Oless(X8,X7,X9)
| ~ c_HOL_Oord__class_Oless(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1195]) ).
fof(c_0_1933,plain,
! [X11,X12,X13] :
( ~ class_Orderings_Oorder(X13)
| ~ c_HOL_Oord__class_Oless(X12,X11,X13)
| ~ c_HOL_Oord__class_Oless(X11,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_1196]) ).
fof(c_0_1934,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Opreorder(X9)
| ~ c_lessequals(X7,X8,X9)
| ~ c_HOL_Oord__class_Oless(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1197]) ).
fof(c_0_1935,plain,
! [X7,X8] :
( ~ class_Orderings_Olinorder(X8)
| ~ c_lessequals(X7,X7,X8)
| ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1198]) ).
fof(c_0_1936,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| ~ c_HOL_Oord__class_Oless(X8,X7,X9)
| ~ c_lessequals(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1199]) ).
fof(c_0_1937,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| ~ c_lessequals(X8,X7,X9)
| ~ c_HOL_Oord__class_Oless(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1200]) ).
fof(c_0_1938,plain,
! [X15,X16] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(X15,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X16,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X16,c_RealVector_Onorm__class_Onorm(X15,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1201]) ).
fof(c_0_1939,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oordered__ring__strict(X12)
| c_lessequals(c_HOL_Ozero__class_Ozero(X12),c_HOL_Otimes__class_Otimes(X11,X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1202]) ).
fof(c_0_1940,plain,
! [X15,X16] :
( c_lessequals(X15,X16,tc_RealDef_Oreal)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X15,tc_RealDef_Oreal),X16,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1203]) ).
fof(c_0_1941,plain,
! [X17,X18,X19] :
( c_HOL_Otimes__class_Otimes(X17,X19,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X17,X18,tc_RealDef_Oreal)
| X17 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X19 = X18 ),
inference(variable_rename,[status(thm)],[c_0_1204]) ).
fof(c_0_1942,plain,
! [X17,X18,X19] :
( c_HOL_Otimes__class_Otimes(X19,X17,tc_RealDef_Oreal) != c_HOL_Otimes__class_Otimes(X18,X17,tc_RealDef_Oreal)
| X17 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X19 = X18 ),
inference(variable_rename,[status(thm)],[c_0_1205]) ).
fof(c_0_1943,plain,
! [X3] :
( c_lessequals(c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X3,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1206]) ).
fof(c_0_1944,plain,
! [X4,X5] :
( X4 = X5
| ~ c_lessequals(X5,X4,tc_RealDef_Oreal)
| ~ c_lessequals(X4,X5,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1207]) ).
fof(c_0_1945,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omax(X8,c_Orderings_Oord__class_Omin(X8,X7,X9),X9) = X8 ),
inference(variable_rename,[status(thm)],[c_0_1208]) ).
fof(c_0_1946,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X12,X11,X13),X11,X13) = X12 ),
inference(variable_rename,[status(thm)],[c_0_1209]) ).
fof(c_0_1947,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omin(X8,c_Orderings_Oord__class_Omax(X8,X7,X9),X9) = X8 ),
inference(variable_rename,[status(thm)],[c_0_1210]) ).
fof(c_0_1948,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X12,X11,X13),X11,X13) = X12 ),
inference(variable_rename,[status(thm)],[c_0_1211]) ).
fof(c_0_1949,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olower__semilattice(X9)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1212]) ).
fof(c_0_1950,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olower__semilattice(X9)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1213]) ).
fof(c_0_1951,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1214]) ).
fof(c_0_1952,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9),X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1215]) ).
fof(c_0_1953,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_lessequals(X8,c_Orderings_Oord__class_Omax(X8,X7,X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_1216]) ).
fof(c_0_1954,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_lessequals(X7,c_Orderings_Oord__class_Omax(X8,X7,X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_1217]) ).
fof(c_0_1955,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_lessequals(c_Orderings_Oord__class_Omin(X8,X7,X9),X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1218]) ).
fof(c_0_1956,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_lessequals(c_Orderings_Oord__class_Omin(X8,X7,X9),X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1219]) ).
fof(c_0_1957,plain,
! [X10,X11] :
( ~ class_Ring__and__Field_Oidom(X11)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X10,X11),c_HOL_Ouminus__class_Ouminus(X10,X11),X11) = c_HOL_Otimes__class_Otimes(X10,X10,X11) ),
inference(variable_rename,[status(thm)],[c_0_1220]) ).
fof(c_0_1958,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oring(X13)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X12,X13),c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Otimes__class_Otimes(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1221]) ).
fof(c_0_1959,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oordered__idom(X12)
| c_HOL_Otimes__class_Otimes(c_HOL_Oabs__class_Oabs(X11,X12),c_HOL_Oabs__class_Oabs(X11,X12),X12) = c_HOL_Otimes__class_Otimes(X11,X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1222]) ).
fof(c_0_1960,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oring(X13)
| c_HOL_Otimes__class_Otimes(c_HOL_Ouminus__class_Ouminus(X12,X13),X11,X13) = c_HOL_Otimes__class_Otimes(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1223]) ).
fof(c_0_1961,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_1224]) ).
fof(c_0_1962,plain,
! [X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X7),c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X7),X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1225]) ).
fof(c_0_1963,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1226]) ).
fof(c_0_1964,plain,
! [X6,X7] :
( c_lessequals(X7,X6,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1227]) ).
fof(c_0_1965,plain,
! [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(c_HOL_Ozero__class_Ozero(X7),X7),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1228]) ).
fof(c_0_1966,plain,
! [X5] :
( 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_NthRoot_Osqrt(X5),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1229]) ).
fof(c_0_1967,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_1230]) ).
fof(c_0_1968,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_1231]) ).
fof(c_0_1969,plain,
! [X5] :
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X5,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_NthRoot_Osqrt(X5),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1232]) ).
fof(c_0_1970,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(variable_rename,[status(thm)],[c_0_1233]) ).
fof(c_0_1971,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_1234]) ).
fof(c_0_1972,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_1235]) ).
fof(c_0_1973,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_1236]) ).
fof(c_0_1974,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(variable_rename,[status(thm)],[c_0_1237]) ).
fof(c_0_1975,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_1238]) ).
fof(c_0_1976,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oordered__idom(X13)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X12,X11,X13),X13)
| ~ c_Polynomial_Opos__poly(X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1239]) ).
fof(c_0_1977,plain,
! [X11,X12,X13] :
( ~ class_Orderings_Oorder(X13)
| c_HOL_Oord__class_Oless(X11,X12,X13)
| X12 = X11
| ~ c_lessequals(X11,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_1240]) ).
fof(c_0_1978,plain,
! [X11,X12,X13] :
( ~ class_Orderings_Oorder(X13)
| c_HOL_Oord__class_Oless(X11,X12,X13)
| ~ c_lessequals(X11,X12,X13)
| X12 = X11 ),
inference(variable_rename,[status(thm)],[c_0_1241]) ).
fof(c_0_1979,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| X8 = X7
| c_HOL_Oord__class_Oless(X8,X7,X9)
| ~ c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1242]) ).
fof(c_0_1980,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| X8 = X7
| ~ c_lessequals(X8,X7,X9)
| c_HOL_Oord__class_Oless(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1243]) ).
fof(c_0_1981,plain,
! [X11,X12,X13] :
( ~ class_Orderings_Oorder(X13)
| c_HOL_Oord__class_Oless(X12,X11,X13)
| ~ c_lessequals(X12,X11,X13)
| X12 = X11 ),
inference(variable_rename,[status(thm)],[c_0_1244]) ).
fof(c_0_1982,plain,
! [X11,X12,X13] :
( ~ class_Orderings_Oorder(X13)
| c_HOL_Oord__class_Oless(X12,X11,X13)
| X12 = X11
| ~ c_lessequals(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1245]) ).
fof(c_0_1983,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Oorder(X9)
| X8 = X7
| c_HOL_Oord__class_Oless(X8,X7,X9)
| ~ c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1246]) ).
fof(c_0_1984,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Oorder(X9)
| c_HOL_Oord__class_Oless(X8,X7,X9)
| X8 = X7
| ~ c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1247]) ).
fof(c_0_1985,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omax(X8,X7,X9) != X7
| c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1248]) ).
fof(c_0_1986,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omin(X8,X7,X9) != X8
| c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1249]) ).
fof(c_0_1987,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olower__semilattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) != X8
| c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1250]) ).
fof(c_0_1988,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1251]) ).
fof(c_0_1989,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X7),c_Transcendental_Oarctan(X6),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1252]) ).
fof(c_0_1990,plain,
! [X6,X7] :
( c_lessequals(c_NthRoot_Osqrt(X7),c_NthRoot_Osqrt(X6),tc_RealDef_Oreal)
| ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1253]) ).
fof(c_0_1991,plain,
! [X6,X7] :
( c_lessequals(c_Transcendental_Oarctan(X7),c_Transcendental_Oarctan(X6),tc_RealDef_Oreal)
| ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1254]) ).
fof(c_0_1992,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| X11 = c_HOL_Ozero__class_Ozero(X12)
| ~ c_lessequals(c_HOL_Oabs__class_Oabs(X11,X12),c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1255]) ).
fof(c_0_1993,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omax(X8,X7,X9) = X8
| ~ c_lessequals(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1256]) ).
fof(c_0_1994,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omax(X8,X7,X9) = X7
| ~ c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1257]) ).
fof(c_0_1995,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omin(X8,X7,X9) = X7
| ~ c_lessequals(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1258]) ).
fof(c_0_1996,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omin(X8,X7,X9) = X8
| ~ c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1259]) ).
fof(c_0_1997,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olower__semilattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) = X7
| ~ c_lessequals(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1260]) ).
fof(c_0_1998,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olower__semilattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) = X8
| ~ c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1261]) ).
fof(c_0_1999,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Opreorder(X9)
| c_lessequals(X8,X7,X9)
| ~ c_HOL_Oord__class_Oless(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1262]) ).
fof(c_0_2000,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Oorder(X9)
| c_lessequals(X8,X7,X9)
| ~ c_HOL_Oord__class_Oless(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1263]) ).
fof(c_0_2001,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(c_HOL_Oabs__class_Oabs(X11,X12),X12),c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1264]) ).
fof(c_0_2002,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_Lattices_Olower__semilattice__class_Oinf(X11,c_HOL_Ouminus__class_Ouminus(X11,X12),X12) != c_HOL_Ozero__class_Ozero(X12)
| X11 = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1265]) ).
fof(c_0_2003,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| ~ c_HOL_Oord__class_Oless(c_HOL_Oabs__class_Oabs(X11,X12),c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1266]) ).
fof(c_0_2004,plain,
! [X7,X8,X9] :
( ~ class_OrderedGroup_Oab__group__add(X9)
| c_HOL_Ominus__class_Ominus(X8,X7,X9) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Ouminus__class_Ouminus(X7,X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_1267]) ).
fof(c_0_2005,plain,
! [X7,X8,X9] :
( ~ class_Int_Onumber__ring(X9)
| c_HOL_Ominus__class_Ominus(X8,X7,X9) = c_HOL_Oplus__class_Oplus(X8,c_HOL_Ouminus__class_Ouminus(X7,X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_1268]) ).
fof(c_0_2006,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Ominus__class_Ominus(X12,X11,X13) = c_HOL_Oplus__class_Oplus(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1269]) ).
fof(c_0_2007,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Oab__group__add(X13)
| c_HOL_Ominus__class_Ominus(X12,X11,X13) = c_HOL_Oplus__class_Oplus(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) ),
inference(variable_rename,[status(thm)],[c_0_1270]) ).
fof(c_0_2008,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Oboolean__algebra(X9)
| c_HOL_Ominus__class_Ominus(X8,X7,X9) = c_Lattices_Olower__semilattice__class_Oinf(X8,c_HOL_Ouminus__class_Ouminus(X7,X9),X9) ),
inference(variable_rename,[status(thm)],[c_0_1271]) ).
fof(c_0_2009,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Ominus__class_Ominus(X12,c_HOL_Ouminus__class_Ouminus(X11,X13),X13) = c_HOL_Oplus__class_Oplus(X12,X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1272]) ).
fof(c_0_2010,plain,
! [X7,X8] :
( ~ class_RealVector_Oreal__normed__vector(X8)
| X7 = c_HOL_Ozero__class_Ozero(X8)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X7,X8),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1273]) ).
fof(c_0_2011,plain,
! [X6,X7] :
( c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal)
| X7 = X6
| ~ c_lessequals(X7,X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1274]) ).
fof(c_0_2012,plain,
! [X11,X12] :
( ~ class_Orderings_Olinorder(X12)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X12)
| c_HOL_Oabs__class_Oabs(X11,X12) = c_HOL_Ouminus__class_Ouminus(X11,X12)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1275]) ).
fof(c_0_2013,plain,
! [X6,X7] :
( c_lessequals(X7,X6,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X7,X6,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1276]) ).
fof(c_0_2014,plain,
! [X7,X8] :
( ~ class_RealVector_Oreal__normed__vector(X8)
| ~ c_HOL_Oord__class_Oless(c_RealVector_Onorm__class_Onorm(X7,X8),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1277]) ).
fof(c_0_2015,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_HOL_Oabs__class_Oabs(X11,X12) = c_HOL_Ouminus__class_Ouminus(X11,X12)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1278]) ).
fof(c_0_2016,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oabs__if(X12)
| c_HOL_Oabs__class_Oabs(X11,X12) = c_HOL_Ouminus__class_Ouminus(X11,X12)
| ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1279]) ).
fof(c_0_2017,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_HOL_Oabs__class_Oabs(X11,X12) = c_HOL_Ouminus__class_Ouminus(X11,X12)
| ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1280]) ).
fof(c_0_2018,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Ozero__neq__one(X20)
| ~ class_Ring__and__Field_Ono__zero__divisors(X20)
| ~ class_Ring__and__Field_Omult__zero(X20)
| ~ class_Power_Opower(X20)
| c_Power_Opower__class_Opower(X19,X18,X20) != c_HOL_Ozero__class_Ozero(X20)
| X19 = c_HOL_Ozero__class_Ozero(X20) ),
inference(variable_rename,[status(thm)],[c_0_1281]) ).
fof(c_0_2019,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oidom(X13)
| c_Polynomial_Osmult(X12,X11,X13) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13))
| X11 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13))
| X12 = c_HOL_Ozero__class_Ozero(X13) ),
inference(variable_rename,[status(thm)],[c_0_1282]) ).
fof(c_0_2020,plain,
! [X11,X12] :
( c_HOL_Oplus__class_Oplus(X11,c_HOL_Ouminus__class_Ouminus(X12,tc_RealDef_Oreal),tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X11 = X12 ),
inference(variable_rename,[status(thm)],[c_0_1283]) ).
fof(c_0_2021,plain,
! [X11,X12,X13] :
( ~ class_HOL_Ozero(X13)
| c_Polynomial_OpCons(X12,X11,X13) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13))
| X11 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13)) ),
inference(variable_rename,[status(thm)],[c_0_1284]) ).
fof(c_0_2022,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oordered__idom(X9)
| c_HOL_Oord__class_Oless(X7,X8,X9)
| c_HOL_Oord__class_Oless(X8,X7,X9)
| X8 = X7 ),
inference(variable_rename,[status(thm)],[c_0_1285]) ).
fof(c_0_2023,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| X8 = X7
| c_HOL_Oord__class_Oless(X7,X8,X9)
| c_HOL_Oord__class_Oless(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1286]) ).
fof(c_0_2024,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| X8 = X7
| c_HOL_Oord__class_Oless(X8,X7,X9)
| c_HOL_Oord__class_Oless(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1287]) ).
fof(c_0_2025,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_HOL_Oord__class_Oless(X7,X8,X9)
| X8 = X7
| c_HOL_Oord__class_Oless(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1288]) ).
fof(c_0_2026,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_HOL_Oord__class_Oless(X7,X8,X9)
| c_HOL_Oord__class_Oless(X8,X7,X9)
| X8 = X7 ),
inference(variable_rename,[status(thm)],[c_0_1289]) ).
fof(c_0_2027,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_HOL_Oabs__class_Oabs(X11,X12) = X11
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1290]) ).
fof(c_0_2028,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_HOL_Oabs__class_Oabs(X11,X12) = X11
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1291]) ).
fof(c_0_2029,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_HOL_Oord__class_Oless(X8,X7,X9)
| c_lessequals(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1292]) ).
fof(c_0_2030,plain,
! [X7,X8] :
( ~ class_Orderings_Olinorder(X8)
| c_HOL_Oord__class_Oless(X7,X7,X8)
| c_lessequals(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1293]) ).
fof(c_0_2031,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_lessequals(X7,X8,X9)
| c_HOL_Oord__class_Oless(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1294]) ).
fof(c_0_2032,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_HOL_Oord__class_Oless(X7,X8,X9)
| c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1295]) ).
fof(c_0_2033,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_lessequals(X7,X8,X9)
| c_lessequals(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1296]) ).
fof(c_0_2034,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omax(X8,X7,X9) = c_Orderings_Oord__class_Omax(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1297]) ).
fof(c_0_2035,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X9)
| c_HOL_Otimes__class_Otimes(X8,X7,X9) = c_HOL_Otimes__class_Otimes(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1298]) ).
fof(c_0_2036,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X13)
| c_HOL_Otimes__class_Otimes(X12,X11,X13) = c_HOL_Otimes__class_Otimes(X11,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_1299]) ).
fof(c_0_2037,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olower__semilattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) = c_Lattices_Olower__semilattice__class_Oinf(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1300]) ).
fof(c_0_2038,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Olattice(X9)
| c_Lattices_Olower__semilattice__class_Oinf(X8,X7,X9) = c_Lattices_Olower__semilattice__class_Oinf(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1301]) ).
fof(c_0_2039,plain,
! [X7,X8,X9] :
( ~ class_Orderings_Olinorder(X9)
| c_Orderings_Oord__class_Omin(X8,X7,X9) = c_Orderings_Oord__class_Omin(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1302]) ).
fof(c_0_2040,plain,
! [X17,X18,X19] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
| c_HOL_Oplus__class_Oplus(X18,X17,X19) = c_HOL_Oplus__class_Oplus(X17,X18,X19) ),
inference(variable_rename,[status(thm)],[c_0_1303]) ).
fof(c_0_2041,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X9)
| c_HOL_Oplus__class_Oplus(X8,X7,X9) = c_HOL_Oplus__class_Oplus(X7,X8,X9) ),
inference(variable_rename,[status(thm)],[c_0_1304]) ).
fof(c_0_2042,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X13)
| c_HOL_Oplus__class_Oplus(X12,X11,X13) = c_HOL_Oplus__class_Oplus(X11,X12,X13) ),
inference(variable_rename,[status(thm)],[c_0_1305]) ).
fof(c_0_2043,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Oplus__class_Oplus(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
| c_HOL_Ouminus__class_Ouminus(X12,X13) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1306]) ).
fof(c_0_2044,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Oplus__class_Oplus(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
| X12 = c_HOL_Ouminus__class_Ouminus(X11,X13) ),
inference(variable_rename,[status(thm)],[c_0_1307]) ).
fof(c_0_2045,plain,
! [X11,X12,X13] :
( ~ class_HOL_Ozero(X13)
| c_Polynomial_OpCons(X12,X11,X13) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X13))
| X12 = c_HOL_Ozero__class_Ozero(X13) ),
inference(variable_rename,[status(thm)],[c_0_1308]) ).
fof(c_0_2046,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_lessequals(c_HOL_Ouminus__class_Ouminus(X11,X12),c_HOL_Oabs__class_Oabs(X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1309]) ).
fof(c_0_2047,plain,
! [X15] :
( c_HOL_Oabs__class_Oabs(X15,tc_RealDef_Oreal) = c_HOL_Ouminus__class_Ouminus(X15,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1310]) ).
fof(c_0_2048,plain,
! [X9,X10,X11] :
( ~ class_HOL_Ozero(X11)
| ~ class_HOL_Oeq(X11)
| X10 = X9
| ~ c_HOL_Oeq__class_Oeq(X10,X9,tc_Polynomial_Opoly(X11)) ),
inference(variable_rename,[status(thm)],[c_0_1311]) ).
fof(c_0_2049,plain,
! [X7] :
( ~ class_HOL_Ozero(X7)
| ~ class_HOL_Oeq(X7)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)),tc_Polynomial_Opoly(X7)) ),
inference(variable_rename,[status(thm)],[c_0_1312]) ).
fof(c_0_2050,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X13)
| c_HOL_Otimes__class_Otimes(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
| X11 = c_HOL_Ozero__class_Ozero(X13)
| X12 = c_HOL_Ozero__class_Ozero(X13) ),
inference(variable_rename,[status(thm)],[c_0_1313]) ).
fof(c_0_2051,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X13)
| c_HOL_Otimes__class_Otimes(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
| X11 = c_HOL_Ozero__class_Ozero(X13)
| X12 = c_HOL_Ozero__class_Ozero(X13) ),
inference(variable_rename,[status(thm)],[c_0_1314]) ).
fof(c_0_2052,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Ono__zero__divisors(X13)
| c_HOL_Otimes__class_Otimes(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
| X12 = c_HOL_Ozero__class_Ozero(X13)
| X11 = c_HOL_Ozero__class_Ozero(X13) ),
inference(variable_rename,[status(thm)],[c_0_1315]) ).
fof(c_0_2053,plain,
! [X7,X8,X9] :
( ~ class_Ring__and__Field_Oidom(X9)
| ~ class_Int_Onumber__ring(X9)
| c_HOL_Ominus__class_Ominus(X8,X7,X9) != c_HOL_Ozero__class_Ozero(X9)
| X8 = X7 ),
inference(variable_rename,[status(thm)],[c_0_1316]) ).
fof(c_0_2054,plain,
! [X11,X12,X13] :
( ~ class_Ring__and__Field_Oidom(X13)
| ~ class_Int_Onumber__ring(X13)
| X11 != c_HOL_Oplus__class_Oplus(X11,X12,X13)
| X12 = c_HOL_Ozero__class_Ozero(X13) ),
inference(variable_rename,[status(thm)],[c_0_1317]) ).
fof(c_0_2055,plain,
! [X4,X5] :
( c_lessequals(X5,X4,tc_RealDef_Oreal)
| c_lessequals(X4,X5,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1318]) ).
fof(c_0_2056,plain,
! [X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_lessequals(c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X7),X7),c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1319]) ).
fof(c_0_2057,plain,
! [X18,X19,X20] :
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X20)
| c_Power_Opower__class_Opower(X19,X18,X20) != c_HOL_Ozero__class_Ozero(X20)
| X19 = c_HOL_Ozero__class_Ozero(X20) ),
inference(variable_rename,[status(thm)],[c_0_1320]) ).
fof(c_0_2058,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X12)
| c_HOL_Oplus__class_Oplus(X11,X11,X12) != c_HOL_Ozero__class_Ozero(X12)
| X11 = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1321]) ).
fof(c_0_2059,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_1322]) ).
fof(c_0_2060,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Oab__group__add(X13)
| c_HOL_Ominus__class_Ominus(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
| X12 = X11 ),
inference(variable_rename,[status(thm)],[c_0_1323]) ).
fof(c_0_2061,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Ominus__class_Ominus(X12,X11,X13) != c_HOL_Ozero__class_Ozero(X13)
| X12 = X11 ),
inference(variable_rename,[status(thm)],[c_0_1324]) ).
fof(c_0_2062,plain,
! [X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X7),X7),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1325]) ).
fof(c_0_2063,plain,
! [X6,X7] :
( c_HOL_Oplus__class_Oplus(X7,X6,tc_RealDef_Oreal) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X6 = c_HOL_Ouminus__class_Ouminus(X7,tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1326]) ).
fof(c_0_2064,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_1327]) ).
fof(c_0_2065,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X12),c_HOL_Oabs__class_Oabs(X11,X12),X12)
| X11 = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1328]) ).
fof(c_0_2066,plain,
! [X7] :
( ~ class_HOL_Ozero(X7)
| c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)),X7) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)) ),
inference(variable_rename,[status(thm)],[c_0_1329]) ).
fof(c_0_2067,plain,
! [X7,X8,X9] :
( ~ class_HOL_Oeq(X9)
| X8 = X7
| ~ c_HOL_Oeq__class_Oeq(X8,X7,X9) ),
inference(variable_rename,[status(thm)],[c_0_1330]) ).
fof(c_0_2068,plain,
! [X7,X8] :
( ~ class_RealVector_Oreal__normed__vector(X8)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X7,X8),tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1331]) ).
fof(c_0_2069,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_lessequals(c_HOL_Ozero__class_Ozero(X12),c_HOL_Oabs__class_Oabs(X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1332]) ).
fof(c_0_2070,plain,
! [X7,X8] :
( ~ class_Orderings_Olinorder(X8)
| ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1333]) ).
fof(c_0_2071,plain,
! [X7,X8] :
( ~ class_Orderings_Oorder(X8)
| ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1334]) ).
fof(c_0_2072,plain,
! [X7,X8] :
( ~ class_Orderings_Opreorder(X8)
| ~ c_HOL_Oord__class_Oless(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1335]) ).
fof(c_0_2073,plain,
! [X10,X11] :
( ~ class_OrderedGroup_Ogroup__add(X11)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X10,X11),X10,X11) = c_HOL_Ozero__class_Ozero(X11) ),
inference(variable_rename,[status(thm)],[c_0_1336]) ).
fof(c_0_2074,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Oab__group__add(X12)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X12),X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1337]) ).
fof(c_0_2075,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ogroup__add(X12)
| c_HOL_Oplus__class_Oplus(X11,c_HOL_Ouminus__class_Ouminus(X11,X12),X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1338]) ).
fof(c_0_2076,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ogroup__add(X12)
| c_HOL_Oplus__class_Oplus(c_HOL_Ouminus__class_Ouminus(X11,X12),X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1339]) ).
fof(c_0_2077,plain,
! [X7,X8] :
( ~ class_Lattices_Oboolean__algebra(X8)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X7,X8),X7,X8) = c_Orderings_Obot__class_Obot(X8) ),
inference(variable_rename,[status(thm)],[c_0_1340]) ).
fof(c_0_2078,plain,
! [X7,X8] :
( ~ class_Lattices_Oboolean__algebra(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,c_HOL_Ouminus__class_Ouminus(X7,X8),X8) = c_Orderings_Obot__class_Obot(X8) ),
inference(variable_rename,[status(thm)],[c_0_1341]) ).
fof(c_0_2079,plain,
! [X11,X12] :
( ~ class_Orderings_Olinorder(X12)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X12)
| c_HOL_Oabs__class_Oabs(X11,X12) = X11
| c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1342]) ).
fof(c_0_2080,plain,
! [X8,X9] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X9)
| c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X9)),X8,X9) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X9)) ),
inference(variable_rename,[status(thm)],[c_0_1343]) ).
fof(c_0_2081,plain,
! [X17,X18] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X18)
| c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X18)),X17,X18) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X18)) ),
inference(variable_rename,[status(thm)],[c_0_1344]) ).
fof(c_0_2082,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oidom(X12)
| c_Polynomial_Osmult(X11,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)),X12) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)) ),
inference(variable_rename,[status(thm)],[c_0_1345]) ).
fof(c_0_2083,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X12)
| c_Polynomial_Osmult(X11,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)),X12) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)) ),
inference(variable_rename,[status(thm)],[c_0_1346]) ).
fof(c_0_2084,plain,
! [X7,X8] :
( ~ class_RealVector_Oreal__normed__vector(X8)
| c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_RealVector_Onorm__class_Onorm(X7,X8),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1347]) ).
fof(c_0_2085,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_lessequals(X11,c_HOL_Oabs__class_Oabs(X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1348]) ).
fof(c_0_2086,plain,
! [X8,X9] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X9)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X9)),X8,tc_Polynomial_Opoly(X9)) = X8 ),
inference(variable_rename,[status(thm)],[c_0_1349]) ).
fof(c_0_2087,plain,
! [X9,X10] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X10)
| c_HOL_Oplus__class_Oplus(X9,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X10)),tc_Polynomial_Opoly(X10)) = X9 ),
inference(variable_rename,[status(thm)],[c_0_1350]) ).
fof(c_0_2088,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oidom(X12)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X12)),X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1351]) ).
fof(c_0_2089,plain,
! [X7,X8] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X8)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X8)),X7,X8) = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1352]) ).
fof(c_0_2090,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oabs__if(X12)
| c_HOL_Oabs__class_Oabs(X11,X12) = X11
| c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1353]) ).
fof(c_0_2091,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ogroup__add(X12)
| c_HOL_Ominus__class_Ominus(c_HOL_Ozero__class_Ozero(X12),X11,X12) = c_HOL_Ouminus__class_Ouminus(X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1354]) ).
fof(c_0_2092,plain,
! [X7] :
( ~ class_OrderedGroup_Olordered__ab__group__add(X7)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X7),c_HOL_Ozero__class_Ozero(X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1355]) ).
fof(c_0_2093,plain,
! [X9,X10] :
( ~ class_Ring__and__Field_Oidom(X10)
| c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X10),X9,X10) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X10)) ),
inference(variable_rename,[status(thm)],[c_0_1356]) ).
fof(c_0_2094,plain,
! [X9,X10] :
( ~ class_Ring__and__Field_Ocomm__semiring__0(X10)
| c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X10),X9,X10) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X10)) ),
inference(variable_rename,[status(thm)],[c_0_1357]) ).
fof(c_0_2095,plain,
! [X7,X8] :
( ~ class_Ring__and__Field_Oidom(X8)
| ~ class_Int_Onumber__ring(X8)
| X7 = c_HOL_Oplus__class_Oplus(X7,c_HOL_Ozero__class_Ozero(X8),X8) ),
inference(variable_rename,[status(thm)],[c_0_1358]) ).
fof(c_0_2096,plain,
! [X7,X8] :
( ~ class_HOL_Ozero(X8)
| ~ class_HOL_Oeq(X8)
| c_HOL_Oeq__class_Oeq(X7,X7,tc_Polynomial_Opoly(X8)) ),
inference(variable_rename,[status(thm)],[c_0_1359]) ).
fof(c_0_2097,plain,
! [X7,X8] :
( ~ class_Ring__and__Field_Oidom(X8)
| ~ class_Int_Onumber__ring(X8)
| c_HOL_Ominus__class_Ominus(X7,X7,X8) = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1360]) ).
fof(c_0_2098,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,c_Orderings_Obot__class_Obot(X8),X8) = c_Orderings_Obot__class_Obot(X8) ),
inference(variable_rename,[status(thm)],[c_0_1361]) ).
fof(c_0_2099,plain,
! [X7,X8] :
( ~ class_Lattices_Obounded__lattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X8),X7,X8) = c_Orderings_Obot__class_Obot(X8) ),
inference(variable_rename,[status(thm)],[c_0_1362]) ).
fof(c_0_2100,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X12)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X12),X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1363]) ).
fof(c_0_2101,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X12)
| c_HOL_Otimes__class_Otimes(X11,c_HOL_Ozero__class_Ozero(X12),X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1364]) ).
fof(c_0_2102,plain,
! [X7,X8] :
( ~ class_RealVector_Oreal__normed__algebra(X8)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X8),X7,X8) = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1365]) ).
fof(c_0_2103,plain,
! [X10,X11] :
( ~ class_RealVector_Oreal__normed__algebra(X11)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X11),X10,X11) = c_HOL_Ozero__class_Ozero(X11) ),
inference(variable_rename,[status(thm)],[c_0_1366]) ).
fof(c_0_2104,plain,
! [X11,X12] :
( ~ class_RealVector_Oreal__normed__algebra(X12)
| c_HOL_Otimes__class_Otimes(X11,c_HOL_Ozero__class_Ozero(X12),X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1367]) ).
fof(c_0_2105,plain,
! [X7,X8] :
( ~ class_RealVector_Oreal__normed__algebra(X8)
| c_HOL_Otimes__class_Otimes(X7,c_HOL_Ozero__class_Ozero(X8),X8) = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1368]) ).
fof(c_0_2106,plain,
! [X7,X8] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X8)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X8),X7,X8) = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1369]) ).
fof(c_0_2107,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Omult__zero(X12)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X12),X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1370]) ).
fof(c_0_2108,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Omult__zero(X12)
| c_HOL_Otimes__class_Otimes(X11,c_HOL_Ozero__class_Ozero(X12),X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1371]) ).
fof(c_0_2109,plain,
! [X10,X11] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X11)
| c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X11),X10,X11) = c_HOL_Ozero__class_Ozero(X11) ),
inference(variable_rename,[status(thm)],[c_0_1372]) ).
fof(c_0_2110,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Oring__no__zero__divisors(X12)
| c_HOL_Otimes__class_Otimes(X11,c_HOL_Ozero__class_Ozero(X12),X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1373]) ).
fof(c_0_2111,plain,
! [X15] :
( c_HOL_Oabs__class_Oabs(X15,tc_RealDef_Oreal) = X15
| c_HOL_Oord__class_Oless(X15,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1374]) ).
fof(c_0_2112,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ogroup__add(X12)
| c_HOL_Ominus__class_Ominus(X11,c_HOL_Ozero__class_Ozero(X12),X12) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1375]) ).
fof(c_0_2113,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Omonoid__add(X12)
| c_HOL_Oplus__class_Oplus(X11,c_HOL_Ozero__class_Ozero(X12),X12) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1376]) ).
fof(c_0_2114,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Omonoid__add(X12)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X12),X11,X12) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1377]) ).
fof(c_0_2115,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X12)
| c_HOL_Oplus__class_Oplus(X11,c_HOL_Ozero__class_Ozero(X12),X12) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1378]) ).
fof(c_0_2116,plain,
! [X7,X8] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X8)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X8),X7,X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_1379]) ).
fof(c_0_2117,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ocomm__monoid__add(X12)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X12),X11,X12) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1380]) ).
fof(c_0_2118,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X12)
| c_HOL_Oplus__class_Oplus(X11,c_HOL_Ozero__class_Ozero(X12),X12) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1381]) ).
fof(c_0_2119,plain,
! [X11,X12] :
( ~ class_Ring__and__Field_Ocomm__semiring__1(X12)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X12),X11,X12) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1382]) ).
fof(c_0_2120,plain,
! [X7,X8] :
( ~ class_Orderings_Obot(X8)
| c_lessequals(c_Orderings_Obot__class_Obot(X8),X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1383]) ).
fof(c_0_2121,plain,
! [X7,X8] :
( ~ class_OrderedGroup_Oab__group__add(X8)
| c_HOL_Ominus__class_Ominus(X7,X7,X8) = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1384]) ).
fof(c_0_2122,plain,
! [X7,X8] :
( ~ class_OrderedGroup_Ogroup__add(X8)
| c_HOL_Ominus__class_Ominus(X7,X7,X8) = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1385]) ).
fof(c_0_2123,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ogroup__add(X12)
| c_HOL_Ominus__class_Ominus(X11,X11,X12) = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1386]) ).
fof(c_0_2124,plain,
! [X7,X8] :
( ~ class_Orderings_Olinorder(X8)
| c_Orderings_Oord__class_Omax(X7,X7,X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_1387]) ).
fof(c_0_2125,plain,
! [X7,X8] :
( ~ class_Orderings_Olinorder(X8)
| c_Orderings_Oord__class_Omin(X7,X7,X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_1388]) ).
fof(c_0_2126,plain,
! [X7,X8] :
( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X8)
| c_HOL_Otimes__class_Otimes(X7,X7,X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_1389]) ).
fof(c_0_2127,plain,
! [X7,X8] :
( ~ class_Lattices_Olower__semilattice(X8)
| c_Lattices_Olower__semilattice__class_Oinf(X7,X7,X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_1390]) ).
fof(c_0_2128,plain,
! [X7,X8] :
( ~ class_HOL_Oeq(X8)
| c_HOL_Oeq__class_Oeq(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1391]) ).
fof(c_0_2129,plain,
! [X7,X8] :
( ~ class_Orderings_Oorder(X8)
| c_lessequals(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1392]) ).
fof(c_0_2130,plain,
! [X7,X8] :
( ~ class_Orderings_Opreorder(X8)
| c_lessequals(X7,X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1393]) ).
fof(c_0_2131,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_HOL_Oabs__class_Oabs(c_HOL_Ouminus__class_Ouminus(X11,X12),X12) = c_HOL_Oabs__class_Oabs(X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1394]) ).
fof(c_0_2132,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_HOL_Oabs__class_Oabs(c_HOL_Oabs__class_Oabs(X11,X12),X12) = c_HOL_Oabs__class_Oabs(X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1395]) ).
fof(c_0_2133,plain,
! [X7,X8] :
( ~ class_RealVector_Oreal__normed__vector(X8)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ouminus__class_Ouminus(X7,X8),X8) = c_RealVector_Onorm__class_Onorm(X7,X8) ),
inference(variable_rename,[status(thm)],[c_0_1396]) ).
fof(c_0_2134,plain,
! [X11,X12] :
( ~ class_RealVector_Oreal__normed__vector(X12)
| c_HOL_Oabs__class_Oabs(c_RealVector_Onorm__class_Onorm(X11,X12),tc_RealDef_Oreal) = c_RealVector_Onorm__class_Onorm(X11,X12) ),
inference(variable_rename,[status(thm)],[c_0_1397]) ).
fof(c_0_2135,plain,
! [X7] :
( ~ class_Ring__and__Field_Oordered__idom(X7)
| ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X7)),X7) ),
inference(variable_rename,[status(thm)],[c_0_1398]) ).
fof(c_0_2136,plain,
! [X7,X8,X9] :
( ~ class_Lattices_Oboolean__algebra(X9)
| c_HOL_Ouminus__class_Ouminus(X8,X9) != c_HOL_Ouminus__class_Ouminus(X7,X9)
| X8 = X7 ),
inference(variable_rename,[status(thm)],[c_0_1399]) ).
fof(c_0_2137,plain,
! [X11,X12,X13] :
( ~ class_OrderedGroup_Ogroup__add(X13)
| c_HOL_Ouminus__class_Ouminus(X12,X13) != c_HOL_Ouminus__class_Ouminus(X11,X13)
| X12 = X11 ),
inference(variable_rename,[status(thm)],[c_0_1400]) ).
fof(c_0_2138,plain,
! [X10,X11] :
( ~ class_OrderedGroup_Ogroup__add(X11)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X11),X11) = X10 ),
inference(variable_rename,[status(thm)],[c_0_1401]) ).
fof(c_0_2139,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ogroup__add(X12)
| X11 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X12),X12) ),
inference(variable_rename,[status(thm)],[c_0_1402]) ).
fof(c_0_2140,plain,
! [X10,X11] :
( ~ class_OrderedGroup_Ogroup__add(X11)
| X10 = c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X10,X11),X11) ),
inference(variable_rename,[status(thm)],[c_0_1403]) ).
fof(c_0_2141,plain,
! [X7,X8] :
( ~ class_Lattices_Oboolean__algebra(X8)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X7,X8),X8) = X7 ),
inference(variable_rename,[status(thm)],[c_0_1404]) ).
fof(c_0_2142,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ogroup__add(X12)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X11,X12),X12) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1405]) ).
fof(c_0_2143,plain,
! [X7,X8] :
( ~ class_SEQ_Obanach(X8)
| ~ class_RealVector_Oreal__normed__field(X8)
| c_Transcendental_Oexp(X7,X8) != c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1406]) ).
fof(c_0_2144,plain,
! [X6,X7] :
( c_Transcendental_Oexp(X7,tc_RealDef_Oreal) != c_Transcendental_Oexp(X6,tc_RealDef_Oreal)
| X7 = X6 ),
inference(variable_rename,[status(thm)],[c_0_1407]) ).
fof(c_0_2145,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ogroup__add(X12)
| c_HOL_Ouminus__class_Ouminus(X11,X12) != c_HOL_Ozero__class_Ozero(X12)
| X11 = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1408]) ).
fof(c_0_2146,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Ogroup__add(X12)
| c_HOL_Ozero__class_Ozero(X12) != c_HOL_Ouminus__class_Ouminus(X11,X12)
| c_HOL_Ozero__class_Ozero(X12) = X11 ),
inference(variable_rename,[status(thm)],[c_0_1409]) ).
fof(c_0_2147,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X12)
| c_HOL_Oabs__class_Oabs(X11,X12) != c_HOL_Ozero__class_Ozero(X12)
| X11 = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1410]) ).
fof(c_0_2148,plain,
! [X7,X8] :
( ~ class_RealVector_Oreal__normed__vector(X8)
| c_RealVector_Onorm__class_Onorm(X7,X8) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| X7 = c_HOL_Ozero__class_Ozero(X8) ),
inference(variable_rename,[status(thm)],[c_0_1411]) ).
fof(c_0_2149,plain,
! [X11,X12] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X12)
| c_HOL_Ouminus__class_Ouminus(X11,X12) != X11
| X11 = c_HOL_Ozero__class_Ozero(X12) ),
inference(variable_rename,[status(thm)],[c_0_1412]) ).
fof(c_0_2150,plain,
! [X7] :
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X7)
| c_HOL_Oabs__class_Oabs(c_HOL_Ozero__class_Ozero(X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1413]) ).
fof(c_0_2151,plain,
! [X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Ozero__class_Ozero(X7) = c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X7),X7) ),
inference(variable_rename,[status(thm)],[c_0_1414]) ).
fof(c_0_2152,plain,
! [X7] :
( ~ class_OrderedGroup_Ogroup__add(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1415]) ).
fof(c_0_2153,plain,
! [X7] :
( ~ class_OrderedGroup_Oordered__ab__group__add(X7)
| c_HOL_Ouminus__class_Ouminus(c_HOL_Ozero__class_Ozero(X7),X7) = c_HOL_Ozero__class_Ozero(X7) ),
inference(variable_rename,[status(thm)],[c_0_1416]) ).
fof(c_0_2154,plain,
! [X7] :
( ~ class_RealVector_Oreal__normed__vector(X7)
| c_RealVector_Onorm__class_Onorm(c_HOL_Ozero__class_Ozero(X7),X7) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
inference(variable_rename,[status(thm)],[c_0_1417]) ).
fof(c_0_2155,plain,
! [X6,X7] :
( c_Complex_OIm(X7) != c_Complex_OIm(X6)
| c_Complex_ORe(X7) != c_Complex_ORe(X6)
| X7 = X6 ),
inference(variable_rename,[status(thm)],[c_0_1418]) ).
fof(c_0_2156,plain,
! [X2] :
( class_HOL_Oeq(tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2)
| ~ class_HOL_Oeq(X2) ),
inference(variable_rename,[status(thm)],[c_0_1419]) ).
fof(c_0_2157,plain,
! [X2] :
( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X2))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X2) ),
inference(variable_rename,[status(thm)],[c_0_1420]) ).
fof(c_0_2158,plain,
! [X2] :
( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__ring(X2) ),
inference(variable_rename,[status(thm)],[c_0_1421]) ).
fof(c_0_2159,plain,
! [X2] :
( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
inference(variable_rename,[status(thm)],[c_0_1422]) ).
fof(c_0_2160,plain,
! [X2] :
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1423]) ).
fof(c_0_2161,plain,
! [X2] :
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1424]) ).
fof(c_0_2162,plain,
! [X2] :
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1425]) ).
fof(c_0_2163,plain,
! [X2] :
( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1426]) ).
fof(c_0_2164,plain,
! [X2] :
( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1427]) ).
fof(c_0_2165,plain,
! [X2] :
( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1428]) ).
fof(c_0_2166,plain,
! [X2] :
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1429]) ).
fof(c_0_2167,plain,
! [X2] :
( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1430]) ).
fof(c_0_2168,plain,
! [X2] :
( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1431]) ).
fof(c_0_2169,plain,
! [X2] :
( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1432]) ).
fof(c_0_2170,plain,
! [X2] :
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X2))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X2) ),
inference(variable_rename,[status(thm)],[c_0_1433]) ).
fof(c_0_2171,plain,
! [X2] :
( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1434]) ).
fof(c_0_2172,plain,
! [X2] :
( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1435]) ).
fof(c_0_2173,plain,
! [X2] :
( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1436]) ).
fof(c_0_2174,plain,
! [X2] :
( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X2))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X2) ),
inference(variable_rename,[status(thm)],[c_0_1437]) ).
fof(c_0_2175,plain,
! [X2] :
( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1438]) ).
fof(c_0_2176,plain,
! [X2] :
( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1439]) ).
fof(c_0_2177,plain,
! [X2] :
( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1440]) ).
fof(c_0_2178,plain,
! [X2] :
( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1441]) ).
fof(c_0_2179,plain,
! [X2] :
( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1442]) ).
fof(c_0_2180,plain,
! [X2] :
( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(variable_rename,[status(thm)],[c_0_1443]) ).
fof(c_0_2181,plain,
! [X2] :
( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(variable_rename,[status(thm)],[c_0_1444]) ).
fof(c_0_2182,plain,
! [X2] :
( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(variable_rename,[status(thm)],[c_0_1445]) ).
fof(c_0_2183,plain,
! [X2] :
( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(variable_rename,[status(thm)],[c_0_1446]) ).
fof(c_0_2184,plain,
! [X2] :
( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X2))
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
inference(variable_rename,[status(thm)],[c_0_1447]) ).
fof(c_0_2185,plain,
! [X2] :
( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1448]) ).
fof(c_0_2186,plain,
! [X2] :
( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(variable_rename,[status(thm)],[c_0_1449]) ).
fof(c_0_2187,plain,
! [X2] :
( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X2))
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
inference(variable_rename,[status(thm)],[c_0_1450]) ).
fof(c_0_2188,plain,
! [X2] :
( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(variable_rename,[status(thm)],[c_0_1451]) ).
fof(c_0_2189,plain,
! [X2] :
( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1452]) ).
fof(c_0_2190,plain,
! [X2] :
( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1453]) ).
fof(c_0_2191,plain,
! [X2] :
( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X2))
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(variable_rename,[status(thm)],[c_0_1454]) ).
fof(c_0_2192,plain,
! [X2] :
( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(variable_rename,[status(thm)],[c_0_1455]) ).
fof(c_0_2193,plain,
! [X2] :
( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1456]) ).
fof(c_0_2194,plain,
! [X2] :
( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(variable_rename,[status(thm)],[c_0_1457]) ).
fof(c_0_2195,plain,
! [X2] :
( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(variable_rename,[status(thm)],[c_0_1458]) ).
fof(c_0_2196,plain,
! [X2] :
( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X2))
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
inference(variable_rename,[status(thm)],[c_0_1459]) ).
fof(c_0_2197,plain,
! [X2] :
( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X2))
| ~ class_OrderedGroup_Oab__group__add(X2) ),
inference(variable_rename,[status(thm)],[c_0_1460]) ).
fof(c_0_2198,plain,
! [X2] :
( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1461]) ).
fof(c_0_2199,plain,
! [X2] :
( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__ring(X2) ),
inference(variable_rename,[status(thm)],[c_0_1462]) ).
fof(c_0_2200,plain,
! [X2] :
( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1463]) ).
fof(c_0_2201,plain,
! [X2] :
( class_Orderings_Opreorder(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1464]) ).
fof(c_0_2202,plain,
! [X2] :
( class_Orderings_Olinorder(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1465]) ).
fof(c_0_2203,plain,
! [X2] :
( class_Orderings_Oorder(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(variable_rename,[status(thm)],[c_0_1466]) ).
fof(c_0_2204,plain,
! [X2] :
( class_Int_Onumber__ring(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
inference(variable_rename,[status(thm)],[c_0_1467]) ).
fof(c_0_2205,plain,
! [X2] :
( class_Power_Opower(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
inference(variable_rename,[status(thm)],[c_0_1468]) ).
fof(c_0_2206,plain,
! [X2] :
( class_HOL_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
inference(variable_rename,[status(thm)],[c_0_1469]) ).
fof(c_0_2207,plain,
! [X6,X7] :
( c_NthRoot_Osqrt(X7) != c_NthRoot_Osqrt(X6)
| X7 = X6 ),
inference(variable_rename,[status(thm)],[c_0_1470]) ).
fof(c_0_2208,plain,
! [X6,X7] :
( c_Complex_Ocnj(X7) != c_Complex_Ocnj(X6)
| X7 = X6 ),
inference(variable_rename,[status(thm)],[c_0_1471]) ).
fof(c_0_2209,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_1472]) ).
fof(c_0_2210,plain,
! [X3] :
( c_Complex_Ocnj(X3) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X3 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(variable_rename,[status(thm)],[c_0_1473]) ).
cnf(c_0_2211,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_1474]) ).
cnf(c_0_2212,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_1475]) ).
cnf(c_0_2213,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_1476]) ).
cnf(c_0_2214,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_1477]) ).
cnf(c_0_2215,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_1478]) ).
cnf(c_0_2216,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_1479]) ).
cnf(c_0_2217,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_1480]) ).
cnf(c_0_2218,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_1481]) ).
cnf(c_0_2219,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_1482]) ).
cnf(c_0_2220,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_1483]) ).
cnf(c_0_2221,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_1484]) ).
cnf(c_0_2222,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1485]) ).
cnf(c_0_2223,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1486]) ).
cnf(c_0_2224,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1487]) ).
cnf(c_0_2225,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1488]) ).
cnf(c_0_2226,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1489]) ).
cnf(c_0_2227,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_1490]) ).
cnf(c_0_2228,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_1491]) ).
cnf(c_0_2229,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_1492]) ).
cnf(c_0_2230,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_lessequals(X3,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X2,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X2,X3,X1),c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1493]) ).
cnf(c_0_2231,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_1494]) ).
cnf(c_0_2232,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_1495]) ).
cnf(c_0_2233,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_1496]) ).
cnf(c_0_2234,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1497]) ).
cnf(c_0_2235,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1498]) ).
cnf(c_0_2236,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_1499]) ).
cnf(c_0_2237,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_1500]) ).
cnf(c_0_2238,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_1501]) ).
cnf(c_0_2239,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_1502]) ).
cnf(c_0_2240,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_1503]) ).
cnf(c_0_2241,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_1504]) ).
cnf(c_0_2242,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_1505]) ).
cnf(c_0_2243,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_1506]) ).
cnf(c_0_2244,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(X3,X2),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1507]) ).
cnf(c_0_2245,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_1508]) ).
cnf(c_0_2246,plain,
( c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,c_Polynomial_Osynthetic__div(X1,X2,X3),X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,X3),c_Polynomial_Osynthetic__div(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1509]) ).
cnf(c_0_2247,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_1510]) ).
cnf(c_0_2248,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_1511]) ).
cnf(c_0_2249,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_1512]) ).
cnf(c_0_2250,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_1513]) ).
cnf(c_0_2251,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_1514]) ).
cnf(c_0_2252,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_1515]) ).
cnf(c_0_2253,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_1516]) ).
cnf(c_0_2254,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_1517]) ).
cnf(c_0_2255,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_1518]) ).
cnf(c_0_2256,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_1519]) ).
cnf(c_0_2257,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_1520]) ).
cnf(c_0_2258,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_1521]) ).
cnf(c_0_2259,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_1522]) ).
cnf(c_0_2260,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_1523]) ).
cnf(c_0_2261,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_1524]) ).
cnf(c_0_2262,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_1525]) ).
cnf(c_0_2263,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1526]) ).
cnf(c_0_2264,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_1527]) ).
cnf(c_0_2265,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_1528]) ).
cnf(c_0_2266,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_1529]) ).
cnf(c_0_2267,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_1530]) ).
cnf(c_0_2268,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_1531]) ).
cnf(c_0_2269,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_1532]) ).
cnf(c_0_2270,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_1533]) ).
cnf(c_0_2271,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_1534]) ).
cnf(c_0_2272,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_1535]) ).
cnf(c_0_2273,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_1536]) ).
cnf(c_0_2274,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_1537]) ).
cnf(c_0_2275,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_1538]) ).
cnf(c_0_2276,plain,
( c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,tc_Polynomial_Opoly(X3)),X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1539]) ).
cnf(c_0_2277,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_1540]) ).
cnf(c_0_2278,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_1541]) ).
cnf(c_0_2279,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_1542]) ).
cnf(c_0_2280,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_1543]) ).
cnf(c_0_2281,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_1544]) ).
cnf(c_0_2282,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_1545]) ).
cnf(c_0_2283,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_1546]) ).
cnf(c_0_2284,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_1547]) ).
cnf(c_0_2285,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_1548]) ).
cnf(c_0_2286,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_1549]) ).
cnf(c_0_2287,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_1550]) ).
cnf(c_0_2288,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_1551]) ).
cnf(c_0_2289,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_1552]) ).
cnf(c_0_2290,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_1553]) ).
cnf(c_0_2291,plain,
( c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X4,c_Polynomial_Opoly(X2,X4,X3),X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1554]) ).
cnf(c_0_2292,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_1555]) ).
cnf(c_0_2293,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_1556]) ).
cnf(c_0_2294,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_1557]) ).
cnf(c_0_2295,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_1558]) ).
cnf(c_0_2296,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_1559]) ).
cnf(c_0_2297,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_1560]) ).
cnf(c_0_2298,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_1561]) ).
cnf(c_0_2299,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_1562]) ).
cnf(c_0_2300,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_1563]) ).
cnf(c_0_2301,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_1564]) ).
cnf(c_0_2302,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_1565]) ).
cnf(c_0_2303,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_1566]) ).
cnf(c_0_2304,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_1567]) ).
cnf(c_0_2305,plain,
( c_HOL_Oeq__class_Oeq(X2,X5,tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1568]) ).
cnf(c_0_2306,plain,
( c_HOL_Oeq__class_Oeq(X1,X4,X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1569]) ).
cnf(c_0_2307,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_1570]) ).
cnf(c_0_2308,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_1571]) ).
cnf(c_0_2309,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_1572]) ).
cnf(c_0_2310,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_1573]) ).
cnf(c_0_2311,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_1574]) ).
cnf(c_0_2312,plain,
( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X4,X3),c_Polynomial_OpCons(X2,X5,X3),tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| ~ c_HOL_Oeq__class_Oeq(X4,X5,tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1575]) ).
cnf(c_0_2313,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_1576]) ).
cnf(c_0_2314,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X3,X1,X2),c_Polynomial_OpCons(X4,X1,X2),tc_Polynomial_Opoly(X2)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1577]) ).
cnf(c_0_2315,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_1578]) ).
cnf(c_0_2316,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_1579]) ).
cnf(c_0_2317,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_1580]) ).
cnf(c_0_2318,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_1581]) ).
cnf(c_0_2319,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_1582]) ).
cnf(c_0_2320,plain,
( c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1583]) ).
cnf(c_0_2321,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_1584]) ).
cnf(c_0_2322,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_1585]) ).
cnf(c_0_2323,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_1586]) ).
cnf(c_0_2324,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_1587]) ).
cnf(c_0_2325,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_1588]) ).
cnf(c_0_2326,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_1589]) ).
cnf(c_0_2327,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_1590]) ).
cnf(c_0_2328,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_1591]) ).
cnf(c_0_2329,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_1592]) ).
cnf(c_0_2330,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_1593]) ).
cnf(c_0_2331,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_1594]) ).
cnf(c_0_2332,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_1595]) ).
cnf(c_0_2333,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_1596]) ).
cnf(c_0_2334,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X1,X2,X3),X3),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X1,X3),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra__1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1597]) ).
cnf(c_0_2335,plain,
( c_Polynomial_Osmult(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X4)),X4) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),tc_Polynomial_Opoly(X4))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1598]) ).
cnf(c_0_2336,plain,
( c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X3)),X4,X3) = c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X1,X4,X3),c_Polynomial_Opoly(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1599]) ).
cnf(c_0_2337,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_1600]) ).
cnf(c_0_2338,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_1601]) ).
cnf(c_0_2339,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_1602]) ).
cnf(c_0_2340,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_1603]) ).
cnf(c_0_2341,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_1604]) ).
cnf(c_0_2342,plain,
( c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) = c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X4,X3),c_Polynomial_Osmult(X2,X4,X3),tc_Polynomial_Opoly(X3))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1605]) ).
cnf(c_0_2343,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_1606]) ).
cnf(c_0_2344,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_1607]) ).
cnf(c_0_2345,plain,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1608]) ).
cnf(c_0_2346,plain,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X4),c_Orderings_Oord__class_Omin(X1,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1609]) ).
cnf(c_0_2347,plain,
( c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X4),X4) = c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1610]) ).
cnf(c_0_2348,plain,
( c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1611]) ).
cnf(c_0_2349,plain,
( c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1612]) ).
cnf(c_0_2350,plain,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1613]) ).
cnf(c_0_2351,plain,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1614]) ).
cnf(c_0_2352,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_1615]) ).
cnf(c_0_2353,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_1616]) ).
cnf(c_0_2354,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_1617]) ).
cnf(c_0_2355,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_1618]) ).
cnf(c_0_2356,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_1619]) ).
cnf(c_0_2357,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_1620]) ).
cnf(c_0_2358,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_1621]) ).
cnf(c_0_2359,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_1622]) ).
cnf(c_0_2360,plain,
( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1623]) ).
cnf(c_0_2361,plain,
( c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1624]) ).
cnf(c_0_2362,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_1625]) ).
cnf(c_0_2363,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_1626]) ).
cnf(c_0_2364,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_1627]) ).
cnf(c_0_2365,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_1628]) ).
cnf(c_0_2366,plain,
( c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1629]) ).
cnf(c_0_2367,plain,
( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1630]) ).
cnf(c_0_2368,plain,
( c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4)
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1631]) ).
cnf(c_0_2369,plain,
( c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1632]) ).
cnf(c_0_2370,plain,
( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1633]) ).
cnf(c_0_2371,plain,
( c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1634]) ).
cnf(c_0_2372,plain,
( c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X3),X4,X3) = c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X4,X3),c_Polynomial_Osynthetic__div(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1635]) ).
cnf(c_0_2373,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_1636]) ).
cnf(c_0_2374,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_1637]) ).
cnf(c_0_2375,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_1638]) ).
cnf(c_0_2376,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_1639]) ).
cnf(c_0_2377,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X3,X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1640]) ).
cnf(c_0_2378,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_1641]) ).
cnf(c_0_2379,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_1642]) ).
cnf(c_0_2380,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_1643]) ).
cnf(c_0_2381,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_1644]) ).
cnf(c_0_2382,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_1645]) ).
cnf(c_0_2383,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_1646]) ).
cnf(c_0_2384,plain,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1647]) ).
cnf(c_0_2385,plain,
( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X3,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oeq__class_Oeq(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ class_HOL_Oeq(X2)
| ~ class_HOL_Ozero(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1648]) ).
cnf(c_0_2386,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_1649]) ).
cnf(c_0_2387,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_1650]) ).
cnf(c_0_2388,plain,
( X1 = c_Polynomial_Osynthetic__div(X2,X3,X4)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X1,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X5,X1,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1651]) ).
cnf(c_0_2389,plain,
( X1 = c_Polynomial_Opoly(X2,X3,X4)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X5,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X1,X5,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1652]) ).
cnf(c_0_2390,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_1653]) ).
cnf(c_0_2391,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_1654]) ).
cnf(c_0_2392,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_1655]) ).
cnf(c_0_2393,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_1656]) ).
cnf(c_0_2394,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_1657]) ).
cnf(c_0_2395,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_1658]) ).
cnf(c_0_2396,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_1659]) ).
cnf(c_0_2397,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_1660]) ).
cnf(c_0_2398,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_1661]) ).
cnf(c_0_2399,plain,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1662]) ).
cnf(c_0_2400,plain,
( c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1663]) ).
cnf(c_0_2401,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_1664]) ).
cnf(c_0_2402,plain,
( c_HOL_Oord__class_Oless(X1,X2,X4)
| c_HOL_Oord__class_Oless(X1,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1665]) ).
cnf(c_0_2403,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1666]) ).
cnf(c_0_2404,plain,
( c_lessequals(X1,X4,X3)
| c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1667]) ).
cnf(c_0_2405,plain,
( c_lessequals(X1,X2,X4)
| c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1668]) ).
cnf(c_0_2406,plain,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1669]) ).
cnf(c_0_2407,plain,
( c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1670]) ).
cnf(c_0_2408,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_1671]) ).
cnf(c_0_2409,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_1672]) ).
cnf(c_0_2410,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_1673]) ).
cnf(c_0_2411,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_1674]) ).
cnf(c_0_2412,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_1675]) ).
cnf(c_0_2413,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_1676]) ).
cnf(c_0_2414,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_1677]) ).
cnf(c_0_2415,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_1678]) ).
cnf(c_0_2416,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_1679]) ).
cnf(c_0_2417,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_1680]) ).
cnf(c_0_2418,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_1681]) ).
cnf(c_0_2419,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_1682]) ).
cnf(c_0_2420,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_1683]) ).
cnf(c_0_2421,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_1684]) ).
cnf(c_0_2422,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_1685]) ).
cnf(c_0_2423,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_1686]) ).
cnf(c_0_2424,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_1687]) ).
cnf(c_0_2425,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_1688]) ).
cnf(c_0_2426,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_1689]) ).
cnf(c_0_2427,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_1690]) ).
cnf(c_0_2428,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_1691]) ).
cnf(c_0_2429,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_1692]) ).
cnf(c_0_2430,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_1693]) ).
cnf(c_0_2431,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_1694]) ).
cnf(c_0_2432,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_1695]) ).
cnf(c_0_2433,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_1696]) ).
cnf(c_0_2434,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_1697]) ).
cnf(c_0_2435,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_1698]) ).
cnf(c_0_2436,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_1699]) ).
cnf(c_0_2437,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_1700]) ).
cnf(c_0_2438,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_1701]) ).
cnf(c_0_2439,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_1702]) ).
cnf(c_0_2440,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_1703]) ).
cnf(c_0_2441,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_1704]) ).
cnf(c_0_2442,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_1705]) ).
cnf(c_0_2443,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_1706]) ).
cnf(c_0_2444,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_1707]) ).
cnf(c_0_2445,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_1708]) ).
cnf(c_0_2446,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_1709]) ).
cnf(c_0_2447,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_1710]) ).
cnf(c_0_2448,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_1711]) ).
cnf(c_0_2449,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1712]) ).
cnf(c_0_2450,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1713]) ).
cnf(c_0_2451,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1714]) ).
cnf(c_0_2452,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1715]) ).
cnf(c_0_2453,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1716]) ).
cnf(c_0_2454,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1717]) ).
cnf(c_0_2455,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1718]) ).
cnf(c_0_2456,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1719]) ).
cnf(c_0_2457,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1720]) ).
cnf(c_0_2458,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1721]) ).
cnf(c_0_2459,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1722]) ).
cnf(c_0_2460,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_1723]) ).
cnf(c_0_2461,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_1724]) ).
cnf(c_0_2462,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| X1 = c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1725]) ).
cnf(c_0_2463,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_1726]) ).
cnf(c_0_2464,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_1727]) ).
cnf(c_0_2465,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_1728]) ).
cnf(c_0_2466,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1729]) ).
cnf(c_0_2467,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_1730]) ).
cnf(c_0_2468,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_1731]) ).
cnf(c_0_2469,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1732]) ).
cnf(c_0_2470,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1733]) ).
cnf(c_0_2471,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1734]) ).
cnf(c_0_2472,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1735]) ).
cnf(c_0_2473,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_1736]) ).
cnf(c_0_2474,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_1737]) ).
cnf(c_0_2475,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_1738]) ).
cnf(c_0_2476,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_1739]) ).
cnf(c_0_2477,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_1740]) ).
cnf(c_0_2478,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_1741]) ).
cnf(c_0_2479,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_1742]) ).
cnf(c_0_2480,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_1743]) ).
cnf(c_0_2481,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_1744]) ).
cnf(c_0_2482,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_1745]) ).
cnf(c_0_2483,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_1746]) ).
cnf(c_0_2484,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_1747]) ).
cnf(c_0_2485,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_1748]) ).
cnf(c_0_2486,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_1749]) ).
cnf(c_0_2487,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_1750]) ).
cnf(c_0_2488,plain,
( c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X3),X4,X3) = c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1751]) ).
cnf(c_0_2489,plain,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1752]) ).
cnf(c_0_2490,plain,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1753]) ).
cnf(c_0_2491,plain,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)
| ~ class_OrderedGroup_Omonoid__mult(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1754]) ).
cnf(c_0_2492,plain,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1755]) ).
cnf(c_0_2493,plain,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1756]) ).
cnf(c_0_2494,plain,
( c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X4),X4) = c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1757]) ).
cnf(c_0_2495,plain,
( c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X3),X4,X3) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1758]) ).
cnf(c_0_2496,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_1759]) ).
cnf(c_0_2497,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_1760]) ).
cnf(c_0_2498,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_1761]) ).
cnf(c_0_2499,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_1762]) ).
cnf(c_0_2500,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_1763]) ).
cnf(c_0_2501,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_1764]) ).
cnf(c_0_2502,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_1765]) ).
cnf(c_0_2503,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_1766]) ).
cnf(c_0_2504,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_1767]) ).
cnf(c_0_2505,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_1768]) ).
cnf(c_0_2506,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_1769]) ).
cnf(c_0_2507,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1770]) ).
cnf(c_0_2508,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1771]) ).
cnf(c_0_2509,plain,
( c_HOL_Oord__class_Oless(X1,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1772]) ).
cnf(c_0_2510,plain,
( c_HOL_Oord__class_Oless(X1,X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1773]) ).
cnf(c_0_2511,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1774]) ).
cnf(c_0_2512,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1775]) ).
cnf(c_0_2513,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1776]) ).
cnf(c_0_2514,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1777]) ).
cnf(c_0_2515,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1778]) ).
cnf(c_0_2516,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1779]) ).
cnf(c_0_2517,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1780]) ).
cnf(c_0_2518,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1781]) ).
cnf(c_0_2519,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1782]) ).
cnf(c_0_2520,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1783]) ).
cnf(c_0_2521,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1784]) ).
cnf(c_0_2522,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1785]) ).
cnf(c_0_2523,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_1786]) ).
cnf(c_0_2524,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_1787]) ).
cnf(c_0_2525,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_1788]) ).
cnf(c_0_2526,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_1789]) ).
cnf(c_0_2527,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_1790]) ).
cnf(c_0_2528,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_1791]) ).
cnf(c_0_2529,plain,
( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1792]) ).
cnf(c_0_2530,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_1793]) ).
cnf(c_0_2531,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_1794]) ).
cnf(c_0_2532,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_1795]) ).
cnf(c_0_2533,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_1796]) ).
cnf(c_0_2534,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_1797]) ).
cnf(c_0_2535,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_1798]) ).
cnf(c_0_2536,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_1799]) ).
cnf(c_0_2537,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_1800]) ).
cnf(c_0_2538,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_1801]) ).
cnf(c_0_2539,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_1802]) ).
cnf(c_0_2540,plain,
( c_Polynomial_Opos__poly(X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1803]) ).
cnf(c_0_2541,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_1804]) ).
cnf(c_0_2542,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_1805]) ).
cnf(c_0_2543,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_1806]) ).
cnf(c_0_2544,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_1807]) ).
cnf(c_0_2545,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_1808]) ).
cnf(c_0_2546,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,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_1809]) ).
cnf(c_0_2547,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1810]) ).
cnf(c_0_2548,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1811]) ).
cnf(c_0_2549,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_1812]) ).
cnf(c_0_2550,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_1813]) ).
cnf(c_0_2551,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_1814]) ).
cnf(c_0_2552,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_1815]) ).
cnf(c_0_2553,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_1816]) ).
cnf(c_0_2554,plain,
( c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1817]) ).
cnf(c_0_2555,plain,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1818]) ).
cnf(c_0_2556,plain,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1819]) ).
cnf(c_0_2557,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1820]) ).
cnf(c_0_2558,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1821]) ).
cnf(c_0_2559,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1822]) ).
cnf(c_0_2560,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1823]) ).
cnf(c_0_2561,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1824]) ).
cnf(c_0_2562,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1825]) ).
cnf(c_0_2563,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1826]) ).
cnf(c_0_2564,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1827]) ).
cnf(c_0_2565,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1828]) ).
cnf(c_0_2566,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1829]) ).
cnf(c_0_2567,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1830]) ).
cnf(c_0_2568,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1831]) ).
cnf(c_0_2569,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1832]) ).
cnf(c_0_2570,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1833]) ).
cnf(c_0_2571,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1834]) ).
cnf(c_0_2572,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1835]) ).
cnf(c_0_2573,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1836]) ).
cnf(c_0_2574,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1837]) ).
cnf(c_0_2575,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_1838]) ).
cnf(c_0_2576,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_1839]) ).
cnf(c_0_2577,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_1840]) ).
cnf(c_0_2578,plain,
( c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3)
| ~ class_RealVector_Oreal__normed__field(X3)
| ~ class_SEQ_Obanach(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1841]) ).
cnf(c_0_2579,plain,
( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
| ~ class_RealVector_Oreal__normed__field(X2)
| ~ class_SEQ_Obanach(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1842]) ).
cnf(c_0_2580,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_1843]) ).
cnf(c_0_2581,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_1844]) ).
cnf(c_0_2582,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_1845]) ).
cnf(c_0_2583,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_1846]) ).
cnf(c_0_2584,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_1847]) ).
cnf(c_0_2585,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_1848]) ).
cnf(c_0_2586,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_1849]) ).
cnf(c_0_2587,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_1850]) ).
cnf(c_0_2588,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_1851]) ).
cnf(c_0_2589,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_1852]) ).
cnf(c_0_2590,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_1853]) ).
cnf(c_0_2591,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_1854]) ).
cnf(c_0_2592,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_1855]) ).
cnf(c_0_2593,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_1856]) ).
cnf(c_0_2594,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_1857]) ).
cnf(c_0_2595,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_1858]) ).
cnf(c_0_2596,plain,
( c_Polynomial_Opos__poly(X2,X3)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1859]) ).
cnf(c_0_2597,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_1860]) ).
cnf(c_0_2598,plain,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1861]) ).
cnf(c_0_2599,plain,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1862]) ).
cnf(c_0_2600,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1863]) ).
cnf(c_0_2601,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1864]) ).
cnf(c_0_2602,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_1865]) ).
cnf(c_0_2603,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_1866]) ).
cnf(c_0_2604,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_1867]) ).
cnf(c_0_2605,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_1868]) ).
cnf(c_0_2606,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_1869]) ).
cnf(c_0_2607,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_1870]) ).
cnf(c_0_2608,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_1871]) ).
cnf(c_0_2609,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_1872]) ).
cnf(c_0_2610,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_1873]) ).
cnf(c_0_2611,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_1874]) ).
cnf(c_0_2612,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_1875]) ).
cnf(c_0_2613,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_1876]) ).
cnf(c_0_2614,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1877]) ).
cnf(c_0_2615,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1878]) ).
cnf(c_0_2616,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_1879]) ).
cnf(c_0_2617,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_1880]) ).
cnf(c_0_2618,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_1881]) ).
cnf(c_0_2619,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_1882]) ).
cnf(c_0_2620,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_1883]) ).
cnf(c_0_2621,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_1884]) ).
cnf(c_0_2622,plain,
( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1885]) ).
cnf(c_0_2623,plain,
( c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X1,X2,X3),X3) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X1,X3),X2,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1886]) ).
cnf(c_0_2624,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_1887]) ).
cnf(c_0_2625,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_1888]) ).
cnf(c_0_2626,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_1889]) ).
cnf(c_0_2627,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_1890]) ).
cnf(c_0_2628,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_1891]) ).
cnf(c_0_2629,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_1892]) ).
cnf(c_0_2630,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_1893]) ).
cnf(c_0_2631,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_1894]) ).
cnf(c_0_2632,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_1895]) ).
cnf(c_0_2633,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_1896]) ).
cnf(c_0_2634,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_1897]) ).
cnf(c_0_2635,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_1898]) ).
cnf(c_0_2636,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_1899]) ).
cnf(c_0_2637,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_1900]) ).
cnf(c_0_2638,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_1901]) ).
cnf(c_0_2639,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_1902]) ).
cnf(c_0_2640,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_1903]) ).
cnf(c_0_2641,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_1904]) ).
cnf(c_0_2642,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_Osmult(X3,X1,X2) != c_Polynomial_OpCons(X4,X1,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1905]) ).
cnf(c_0_2643,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_1906]) ).
cnf(c_0_2644,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_1907]) ).
cnf(c_0_2645,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_1908]) ).
cnf(c_0_2646,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_1909]) ).
cnf(c_0_2647,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_1910]) ).
cnf(c_0_2648,plain,
( c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X2)),X2)
| ~ c_Polynomial_Opos__poly(X1,X2)
| ~ c_Polynomial_Opos__poly(X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1911]) ).
cnf(c_0_2649,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_1912]) ).
cnf(c_0_2650,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_1913]) ).
cnf(c_0_2651,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_1914]) ).
cnf(c_0_2652,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_1915]) ).
cnf(c_0_2653,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_1916]) ).
cnf(c_0_2654,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1917]) ).
cnf(c_0_2655,plain,
( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1918]) ).
cnf(c_0_2656,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_1919]) ).
cnf(c_0_2657,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1920]) ).
cnf(c_0_2658,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1921]) ).
cnf(c_0_2659,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1922]) ).
cnf(c_0_2660,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_1923]) ).
cnf(c_0_2661,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_1924]) ).
cnf(c_0_2662,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_1925]) ).
cnf(c_0_2663,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_1926]) ).
cnf(c_0_2664,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_1927]) ).
cnf(c_0_2665,plain,
( X1 = X2
| c_Polynomial_OpCons(X1,X3,X4) != c_Polynomial_OpCons(X2,X5,X4)
| ~ class_HOL_Ozero(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1928]) ).
cnf(c_0_2666,plain,
( X1 = X2
| c_Polynomial_OpCons(X3,X1,X4) != c_Polynomial_OpCons(X5,X2,X4)
| ~ class_HOL_Ozero(X4) ),
inference(split_conjunct,[status(thm)],[c_0_1929]) ).
cnf(c_0_2667,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_1930]) ).
cnf(c_0_2668,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_1931]) ).
cnf(c_0_2669,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_1932]) ).
cnf(c_0_2670,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_1933]) ).
cnf(c_0_2671,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_1934]) ).
cnf(c_0_2672,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_1935]) ).
cnf(c_0_2673,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_1936]) ).
cnf(c_0_2674,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_1937]) ).
cnf(c_0_2675,plain,
( c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1938]) ).
cnf(c_0_2676,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_1939]) ).
cnf(c_0_2677,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_1940]) ).
cnf(c_0_2678,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_1941]) ).
cnf(c_0_2679,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_1942]) ).
cnf(c_0_2680,plain,
( c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1943]) ).
cnf(c_0_2681,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1944]) ).
cnf(c_0_2682,plain,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1945]) ).
cnf(c_0_2683,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_1946]) ).
cnf(c_0_2684,plain,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1947]) ).
cnf(c_0_2685,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_1948]) ).
cnf(c_0_2686,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1949]) ).
cnf(c_0_2687,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1950]) ).
cnf(c_0_2688,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1951]) ).
cnf(c_0_2689,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1952]) ).
cnf(c_0_2690,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1953]) ).
cnf(c_0_2691,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1954]) ).
cnf(c_0_2692,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1955]) ).
cnf(c_0_2693,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1956]) ).
cnf(c_0_2694,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_1957]) ).
cnf(c_0_2695,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_1958]) ).
cnf(c_0_2696,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_1959]) ).
cnf(c_0_2697,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_1960]) ).
cnf(c_0_2698,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_1961]) ).
cnf(c_0_2699,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_1962]) ).
cnf(c_0_2700,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_1963]) ).
cnf(c_0_2701,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_1964]) ).
cnf(c_0_2702,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_1965]) ).
cnf(c_0_2703,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_1966]) ).
cnf(c_0_2704,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_1967]) ).
cnf(c_0_2705,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_1968]) ).
cnf(c_0_2706,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_1969]) ).
cnf(c_0_2707,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_1970]) ).
cnf(c_0_2708,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_1971]) ).
cnf(c_0_2709,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_1972]) ).
cnf(c_0_2710,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_1973]) ).
cnf(c_0_2711,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_1974]) ).
cnf(c_0_2712,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_1975]) ).
cnf(c_0_2713,plain,
( c_Polynomial_Opos__poly(c_Polynomial_OpCons(X3,X1,X2),X2)
| ~ c_Polynomial_Opos__poly(X1,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_1976]) ).
cnf(c_0_2714,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_1977]) ).
cnf(c_0_2715,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_1978]) ).
cnf(c_0_2716,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_1979]) ).
cnf(c_0_2717,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_1980]) ).
cnf(c_0_2718,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_1981]) ).
cnf(c_0_2719,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_1982]) ).
cnf(c_0_2720,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_1983]) ).
cnf(c_0_2721,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_1984]) ).
cnf(c_0_2722,plain,
( c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1985]) ).
cnf(c_0_2723,plain,
( c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1986]) ).
cnf(c_0_2724,plain,
( c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1987]) ).
cnf(c_0_2725,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_1988]) ).
cnf(c_0_2726,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1989]) ).
cnf(c_0_2727,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_1990]) ).
cnf(c_0_2728,plain,
( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_1991]) ).
cnf(c_0_2729,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_1992]) ).
cnf(c_0_2730,plain,
( c_Orderings_Oord__class_Omax(X2,X1,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1993]) ).
cnf(c_0_2731,plain,
( c_Orderings_Oord__class_Omax(X1,X2,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1994]) ).
cnf(c_0_2732,plain,
( c_Orderings_Oord__class_Omin(X2,X1,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1995]) ).
cnf(c_0_2733,plain,
( c_Orderings_Oord__class_Omin(X1,X2,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1996]) ).
cnf(c_0_2734,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1997]) ).
cnf(c_0_2735,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_1998]) ).
cnf(c_0_2736,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_1999]) ).
cnf(c_0_2737,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_2000]) ).
cnf(c_0_2738,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_2001]) ).
cnf(c_0_2739,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2002]) ).
cnf(c_0_2740,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_2003]) ).
cnf(c_0_2741,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_2004]) ).
cnf(c_0_2742,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_2005]) ).
cnf(c_0_2743,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_2006]) ).
cnf(c_0_2744,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_2007]) ).
cnf(c_0_2745,plain,
( c_HOL_Ominus__class_Ominus(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2008]) ).
cnf(c_0_2746,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_2009]) ).
cnf(c_0_2747,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_2010]) ).
cnf(c_0_2748,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_2011]) ).
cnf(c_0_2749,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_2012]) ).
cnf(c_0_2750,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_2013]) ).
cnf(c_0_2751,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_2014]) ).
cnf(c_0_2752,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_2015]) ).
cnf(c_0_2753,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_2016]) ).
cnf(c_0_2754,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_2017]) ).
cnf(c_0_2755,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2018]) ).
cnf(c_0_2756,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_Osmult(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2019]) ).
cnf(c_0_2757,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_2020]) ).
cnf(c_0_2758,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_OpCons(X3,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2021]) ).
cnf(c_0_2759,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_2022]) ).
cnf(c_0_2760,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_2023]) ).
cnf(c_0_2761,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_2024]) ).
cnf(c_0_2762,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_2025]) ).
cnf(c_0_2763,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_2026]) ).
cnf(c_0_2764,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_2027]) ).
cnf(c_0_2765,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_2028]) ).
cnf(c_0_2766,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_2029]) ).
cnf(c_0_2767,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_2030]) ).
cnf(c_0_2768,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_2031]) ).
cnf(c_0_2769,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_2032]) ).
cnf(c_0_2770,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2033]) ).
cnf(c_0_2771,plain,
( c_Orderings_Oord__class_Omax(X1,X2,X3) = c_Orderings_Oord__class_Omax(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2034]) ).
cnf(c_0_2772,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_2035]) ).
cnf(c_0_2773,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_2036]) ).
cnf(c_0_2774,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2037]) ).
cnf(c_0_2775,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2038]) ).
cnf(c_0_2776,plain,
( c_Orderings_Oord__class_Omin(X1,X2,X3) = c_Orderings_Oord__class_Omin(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2039]) ).
cnf(c_0_2777,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_2040]) ).
cnf(c_0_2778,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_2041]) ).
cnf(c_0_2779,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_2042]) ).
cnf(c_0_2780,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_2043]) ).
cnf(c_0_2781,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_2044]) ).
cnf(c_0_2782,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Polynomial_OpCons(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2045]) ).
cnf(c_0_2783,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_2046]) ).
cnf(c_0_2784,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_2047]) ).
cnf(c_0_2785,plain,
( X1 = X2
| ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2048]) ).
cnf(c_0_2786,plain,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2049]) ).
cnf(c_0_2787,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_2050]) ).
cnf(c_0_2788,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_2051]) ).
cnf(c_0_2789,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_2052]) ).
cnf(c_0_2790,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_2053]) ).
cnf(c_0_2791,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_2054]) ).
cnf(c_0_2792,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2055]) ).
cnf(c_0_2793,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_2056]) ).
cnf(c_0_2794,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2057]) ).
cnf(c_0_2795,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_2058]) ).
cnf(c_0_2796,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_2059]) ).
cnf(c_0_2797,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_2060]) ).
cnf(c_0_2798,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_2061]) ).
cnf(c_0_2799,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_2062]) ).
cnf(c_0_2800,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_2063]) ).
cnf(c_0_2801,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_2064]) ).
cnf(c_0_2802,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_2065]) ).
cnf(c_0_2803,plain,
( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2066]) ).
cnf(c_0_2804,plain,
( X1 = X2
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| ~ class_HOL_Oeq(X3) ),
inference(split_conjunct,[status(thm)],[c_0_2067]) ).
cnf(c_0_2805,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_2068]) ).
cnf(c_0_2806,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_2069]) ).
cnf(c_0_2807,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2070]) ).
cnf(c_0_2808,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2071]) ).
cnf(c_0_2809,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2072]) ).
cnf(c_0_2810,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_2073]) ).
cnf(c_0_2811,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_2074]) ).
cnf(c_0_2812,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_2075]) ).
cnf(c_0_2813,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_2076]) ).
cnf(c_0_2814,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2077]) ).
cnf(c_0_2815,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2078]) ).
cnf(c_0_2816,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_2079]) ).
cnf(c_0_2817,plain,
( c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2080]) ).
cnf(c_0_2818,plain,
( c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2081]) ).
cnf(c_0_2819,plain,
( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2082]) ).
cnf(c_0_2820,plain,
( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2083]) ).
cnf(c_0_2821,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_2084]) ).
cnf(c_0_2822,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_2085]) ).
cnf(c_0_2823,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1)) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2086]) ).
cnf(c_0_2824,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)) = X1
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2087]) ).
cnf(c_0_2825,plain,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2088]) ).
cnf(c_0_2826,plain,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2089]) ).
cnf(c_0_2827,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_2090]) ).
cnf(c_0_2828,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_2091]) ).
cnf(c_0_2829,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_2092]) ).
cnf(c_0_2830,plain,
( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2093]) ).
cnf(c_0_2831,plain,
( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2094]) ).
cnf(c_0_2832,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_2095]) ).
cnf(c_0_2833,plain,
( c_HOL_Oeq__class_Oeq(X1,X1,tc_Polynomial_Opoly(X2))
| ~ class_HOL_Oeq(X2)
| ~ class_HOL_Ozero(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2096]) ).
cnf(c_0_2834,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_2097]) ).
cnf(c_0_2835,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2098]) ).
cnf(c_0_2836,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2099]) ).
cnf(c_0_2837,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_2100]) ).
cnf(c_0_2838,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_2101]) ).
cnf(c_0_2839,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_2102]) ).
cnf(c_0_2840,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_2103]) ).
cnf(c_0_2841,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_2104]) ).
cnf(c_0_2842,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_2105]) ).
cnf(c_0_2843,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_2106]) ).
cnf(c_0_2844,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_2107]) ).
cnf(c_0_2845,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_2108]) ).
cnf(c_0_2846,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_2109]) ).
cnf(c_0_2847,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_2110]) ).
cnf(c_0_2848,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_2111]) ).
cnf(c_0_2849,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_2112]) ).
cnf(c_0_2850,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_2113]) ).
cnf(c_0_2851,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_2114]) ).
cnf(c_0_2852,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_2115]) ).
cnf(c_0_2853,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_2116]) ).
cnf(c_0_2854,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_2117]) ).
cnf(c_0_2855,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_2118]) ).
cnf(c_0_2856,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_2119]) ).
cnf(c_0_2857,plain,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2120]) ).
cnf(c_0_2858,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_2121]) ).
cnf(c_0_2859,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_2122]) ).
cnf(c_0_2860,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_2123]) ).
cnf(c_0_2861,plain,
( c_Orderings_Oord__class_Omax(X1,X1,X2) = X1
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2124]) ).
cnf(c_0_2862,plain,
( c_Orderings_Oord__class_Omin(X1,X1,X2) = X1
| ~ class_Orderings_Olinorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2125]) ).
cnf(c_0_2863,plain,
( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2126]) ).
cnf(c_0_2864,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2127]) ).
cnf(c_0_2865,plain,
( c_HOL_Oeq__class_Oeq(X1,X1,X2)
| ~ class_HOL_Oeq(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2128]) ).
cnf(c_0_2866,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2129]) ).
cnf(c_0_2867,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2130]) ).
cnf(c_0_2868,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_2131]) ).
cnf(c_0_2869,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_2132]) ).
cnf(c_0_2870,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_2133]) ).
cnf(c_0_2871,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_2134]) ).
cnf(c_0_2872,plain,
( ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2135]) ).
cnf(c_0_2873,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_2136]) ).
cnf(c_0_2874,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_2137]) ).
cnf(c_0_2875,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_2138]) ).
cnf(c_0_2876,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_2139]) ).
cnf(c_0_2877,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_2140]) ).
cnf(c_0_2878,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_2141]) ).
cnf(c_0_2879,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_2142]) ).
cnf(c_0_2880,plain,
( c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__field(X2)
| ~ class_SEQ_Obanach(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2143]) ).
cnf(c_0_2881,plain,
( X1 = X2
| c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal) ),
inference(split_conjunct,[status(thm)],[c_0_2144]) ).
cnf(c_0_2882,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_2145]) ).
cnf(c_0_2883,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_2146]) ).
cnf(c_0_2884,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_2147]) ).
cnf(c_0_2885,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_2148]) ).
cnf(c_0_2886,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_2149]) ).
cnf(c_0_2887,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_2150]) ).
cnf(c_0_2888,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_2151]) ).
cnf(c_0_2889,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_2152]) ).
cnf(c_0_2890,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_2153]) ).
cnf(c_0_2891,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_2154]) ).
cnf(c_0_2892,plain,
( X1 = X2
| c_Complex_ORe(X1) != c_Complex_ORe(X2)
| c_Complex_OIm(X1) != c_Complex_OIm(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2155]) ).
cnf(c_0_2893,plain,
( class_HOL_Oeq(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2156]) ).
cnf(c_0_2894,plain,
( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2157]) ).
cnf(c_0_2895,plain,
( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2158]) ).
cnf(c_0_2896,plain,
( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2159]) ).
cnf(c_0_2897,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2160]) ).
cnf(c_0_2898,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2161]) ).
cnf(c_0_2899,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2162]) ).
cnf(c_0_2900,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2163]) ).
cnf(c_0_2901,plain,
( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2164]) ).
cnf(c_0_2902,plain,
( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2165]) ).
cnf(c_0_2903,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2166]) ).
cnf(c_0_2904,plain,
( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2167]) ).
cnf(c_0_2905,plain,
( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2168]) ).
cnf(c_0_2906,plain,
( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2169]) ).
cnf(c_0_2907,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2170]) ).
cnf(c_0_2908,plain,
( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2171]) ).
cnf(c_0_2909,plain,
( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2172]) ).
cnf(c_0_2910,plain,
( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2173]) ).
cnf(c_0_2911,plain,
( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2174]) ).
cnf(c_0_2912,plain,
( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2175]) ).
cnf(c_0_2913,plain,
( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2176]) ).
cnf(c_0_2914,plain,
( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2177]) ).
cnf(c_0_2915,plain,
( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2178]) ).
cnf(c_0_2916,plain,
( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2179]) ).
cnf(c_0_2917,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2180]) ).
cnf(c_0_2918,plain,
( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2181]) ).
cnf(c_0_2919,plain,
( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2182]) ).
cnf(c_0_2920,plain,
( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2183]) ).
cnf(c_0_2921,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2184]) ).
cnf(c_0_2922,plain,
( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2185]) ).
cnf(c_0_2923,plain,
( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2186]) ).
cnf(c_0_2924,plain,
( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2187]) ).
cnf(c_0_2925,plain,
( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2188]) ).
cnf(c_0_2926,plain,
( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2189]) ).
cnf(c_0_2927,plain,
( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2190]) ).
cnf(c_0_2928,plain,
( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2191]) ).
cnf(c_0_2929,plain,
( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2192]) ).
cnf(c_0_2930,plain,
( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2193]) ).
cnf(c_0_2931,plain,
( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2194]) ).
cnf(c_0_2932,plain,
( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2195]) ).
cnf(c_0_2933,plain,
( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2196]) ).
cnf(c_0_2934,plain,
( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2197]) ).
cnf(c_0_2935,plain,
( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2198]) ).
cnf(c_0_2936,plain,
( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2199]) ).
cnf(c_0_2937,plain,
( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2200]) ).
cnf(c_0_2938,plain,
( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2201]) ).
cnf(c_0_2939,plain,
( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2202]) ).
cnf(c_0_2940,plain,
( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2203]) ).
cnf(c_0_2941,plain,
( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2204]) ).
cnf(c_0_2942,plain,
( class_Power_Opower(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2205]) ).
cnf(c_0_2943,plain,
( class_HOL_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
inference(split_conjunct,[status(thm)],[c_0_2206]) ).
cnf(c_0_2944,plain,
( X1 = X2
| c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2207]) ).
cnf(c_0_2945,plain,
( X1 = X2
| c_Complex_Ocnj(X1) != c_Complex_Ocnj(X2) ),
inference(split_conjunct,[status(thm)],[c_0_2208]) ).
cnf(c_0_2946,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_2209]) ).
cnf(c_0_2947,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Complex_Ocnj(X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(split_conjunct,[status(thm)],[c_0_2210]) ).
cnf(c_0_2948,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_2211,
[final] ).
cnf(c_0_2949,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_2212,
[final] ).
cnf(c_0_2950,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_2213,
[final] ).
cnf(c_0_2951,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_2214,
[final] ).
cnf(c_0_2952,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_2215,
[final] ).
cnf(c_0_2953,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_2216,
[final] ).
cnf(c_0_2954,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_2217,
[final] ).
cnf(c_0_2955,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_2218,
[final] ).
cnf(c_0_2956,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_2219,
[final] ).
cnf(c_0_2957,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_2220,
[final] ).
cnf(c_0_2958,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_2221,
[final] ).
cnf(c_0_2959,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2222,
[final] ).
cnf(c_0_2960,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2223,
[final] ).
cnf(c_0_2961,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
c_0_2224,
[final] ).
cnf(c_0_2962,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
c_0_2225,
[final] ).
cnf(c_0_2963,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
c_0_2226,
[final] ).
cnf(c_0_2964,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_2227,
[final] ).
cnf(c_0_2965,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_2228,
[final] ).
cnf(c_0_2966,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_2229,
[final] ).
cnf(c_0_2967,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_lessequals(X3,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X2,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X2,X3,X1),c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
c_0_2230,
[final] ).
cnf(c_0_2968,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_2231,
[final] ).
cnf(c_0_2969,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_2232,
[final] ).
cnf(c_0_2970,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_2233,
[final] ).
cnf(c_0_2971,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2234,
[final] ).
cnf(c_0_2972,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2235,
[final] ).
cnf(c_0_2973,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_2236,
[final] ).
cnf(c_0_2974,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_2237,
[final] ).
cnf(c_0_2975,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_2238,
[final] ).
cnf(c_0_2976,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_2239,
[final] ).
cnf(c_0_2977,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_2240,
[final] ).
cnf(c_0_2978,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_2241,
[final] ).
cnf(c_0_2979,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_2242,
[final] ).
cnf(c_0_2980,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_2243,
[final] ).
cnf(c_0_2981,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(X3,X2),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
c_0_2244,
[final] ).
cnf(c_0_2982,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_2245,
[final] ).
cnf(c_0_2983,plain,
( c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,c_Polynomial_Osynthetic__div(X1,X2,X3),X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,X3),c_Polynomial_Osynthetic__div(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
c_0_2246,
[final] ).
cnf(c_0_2984,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_2247,
[final] ).
cnf(c_0_2985,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_2248,
[final] ).
cnf(c_0_2986,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_2249,
[final] ).
cnf(c_0_2987,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_2250,
[final] ).
cnf(c_0_2988,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_2251,
[final] ).
cnf(c_0_2989,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_2252,
[final] ).
cnf(c_0_2990,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_2253,
[final] ).
cnf(c_0_2991,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_2254,
[final] ).
cnf(c_0_2992,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_2255,
[final] ).
cnf(c_0_2993,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_2256,
[final] ).
cnf(c_0_2994,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_2257,
[final] ).
cnf(c_0_2995,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_2258,
[final] ).
cnf(c_0_2996,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_2259,
[final] ).
cnf(c_0_2997,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_2260,
[final] ).
cnf(c_0_2998,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_2261,
[final] ).
cnf(c_0_2999,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_2262,
[final] ).
cnf(c_0_3000,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
c_0_2263,
[final] ).
cnf(c_0_3001,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_2264,
[final] ).
cnf(c_0_3002,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_2265,
[final] ).
cnf(c_0_3003,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_2266,
[final] ).
cnf(c_0_3004,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_2267,
[final] ).
cnf(c_0_3005,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_2268,
[final] ).
cnf(c_0_3006,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_2269,
[final] ).
cnf(c_0_3007,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_2270,
[final] ).
cnf(c_0_3008,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_2271,
[final] ).
cnf(c_0_3009,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_2272,
[final] ).
cnf(c_0_3010,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_2273,
[final] ).
cnf(c_0_3011,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_2274,
[final] ).
cnf(c_0_3012,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_2275,
[final] ).
cnf(c_0_3013,plain,
( c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,tc_Polynomial_Opoly(X3)),X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
c_0_2276,
[final] ).
cnf(c_0_3014,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_2277,
[final] ).
cnf(c_0_3015,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_2278,
[final] ).
cnf(c_0_3016,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_2279,
[final] ).
cnf(c_0_3017,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_2280,
[final] ).
cnf(c_0_3018,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_2281,
[final] ).
cnf(c_0_3019,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_2282,
[final] ).
cnf(c_0_3020,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_2283,
[final] ).
cnf(c_0_3021,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_2284,
[final] ).
cnf(c_0_3022,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_2285,
[final] ).
cnf(c_0_3023,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_2286,
[final] ).
cnf(c_0_3024,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_2287,
[final] ).
cnf(c_0_3025,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_2288,
[final] ).
cnf(c_0_3026,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_2289,
[final] ).
cnf(c_0_3027,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
c_0_2290,
[final] ).
cnf(c_0_3028,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X4,c_Polynomial_Opoly(X2,X4,X3),X3),X3) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
c_0_2291,
[final] ).
cnf(c_0_3029,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_2292,
[final] ).
cnf(c_0_3030,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_2293,
[final] ).
cnf(c_0_3031,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_2294,
[final] ).
cnf(c_0_3032,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_2295,
[final] ).
cnf(c_0_3033,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_2296,
[final] ).
cnf(c_0_3034,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_2297,
[final] ).
cnf(c_0_3035,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_2298,
[final] ).
cnf(c_0_3036,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_2299,
[final] ).
cnf(c_0_3037,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_2300,
[final] ).
cnf(c_0_3038,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_2301,
[final] ).
cnf(c_0_3039,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_2302,
[final] ).
cnf(c_0_3040,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_2303,
[final] ).
cnf(c_0_3041,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_2304,
[final] ).
cnf(c_0_3042,plain,
( c_HOL_Oeq__class_Oeq(X2,X5,tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
c_0_2305,
[final] ).
cnf(c_0_3043,plain,
( c_HOL_Oeq__class_Oeq(X1,X4,X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
c_0_2306,
[final] ).
cnf(c_0_3044,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_2307,
[final] ).
cnf(c_0_3045,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_2308,
[final] ).
cnf(c_0_3046,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_2309,
[final] ).
cnf(c_0_3047,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_2310,
[final] ).
cnf(c_0_3048,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_2311,
[final] ).
cnf(c_0_3049,plain,
( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X4,X3),c_Polynomial_OpCons(X2,X5,X3),tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| ~ c_HOL_Oeq__class_Oeq(X4,X5,tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
c_0_2312,
[final] ).
cnf(c_0_3050,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_2313,
[final] ).
cnf(c_0_3051,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X3,X1,X2),c_Polynomial_OpCons(X4,X1,X2),tc_Polynomial_Opoly(X2)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
c_0_2314,
[final] ).
cnf(c_0_3052,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_2315,
[final] ).
cnf(c_0_3053,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_2316,
[final] ).
cnf(c_0_3054,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_2317,
[final] ).
cnf(c_0_3055,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_2318,
[final] ).
cnf(c_0_3056,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_2319,
[final] ).
cnf(c_0_3057,plain,
( c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
c_0_2320,
[final] ).
cnf(c_0_3058,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_2321,
[final] ).
cnf(c_0_3059,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_2322,
[final] ).
cnf(c_0_3060,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_2323,
[final] ).
cnf(c_0_3061,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_2324,
[final] ).
cnf(c_0_3062,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_2325,
[final] ).
cnf(c_0_3063,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_2326,
[final] ).
cnf(c_0_3064,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_2327,
[final] ).
cnf(c_0_3065,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_2328,
[final] ).
cnf(c_0_3066,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_2329,
[final] ).
cnf(c_0_3067,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_2330,
[final] ).
cnf(c_0_3068,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_2331,
[final] ).
cnf(c_0_3069,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_2332,
[final] ).
cnf(c_0_3070,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_2333,
[final] ).
cnf(c_0_3071,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X1,X2,X3),X3),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X1,X3),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra__1(X3) ),
c_0_2334,
[final] ).
cnf(c_0_3072,plain,
( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),tc_Polynomial_Opoly(X4)) = c_Polynomial_Osmult(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X4)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
c_0_2335,
[final] ).
cnf(c_0_3073,plain,
( c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X1,X4,X3),c_Polynomial_Opoly(X2,X4,X3),X3) = c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X3)),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
c_0_2336,
[final] ).
cnf(c_0_3074,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_2337,
[final] ).
cnf(c_0_3075,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_2338,
[final] ).
cnf(c_0_3076,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_2339,
[final] ).
cnf(c_0_3077,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_2340,
[final] ).
cnf(c_0_3078,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_2341,
[final] ).
cnf(c_0_3079,plain,
( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X4,X3),c_Polynomial_Osmult(X2,X4,X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
c_0_2342,
[final] ).
cnf(c_0_3080,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_2343,
[final] ).
cnf(c_0_3081,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_2344,
[final] ).
cnf(c_0_3082,plain,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),c_Orderings_Oord__class_Omin(X2,X4,X3),X3) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2345,
[final] ).
cnf(c_0_3083,plain,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X4),c_Orderings_Oord__class_Omin(X1,X3,X4),X4) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2346,
[final] ).
cnf(c_0_3084,plain,
( c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),X4) = c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
c_0_2347,
[final] ).
cnf(c_0_3085,plain,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
c_0_2348,
[final] ).
cnf(c_0_3086,plain,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X3) ),
c_0_2349,
[final] ).
cnf(c_0_3087,plain,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2350,
[final] ).
cnf(c_0_3088,plain,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),c_Orderings_Oord__class_Omax(X2,X4,X3),X3) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2351,
[final] ).
cnf(c_0_3089,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_2352,
[final] ).
cnf(c_0_3090,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_2353,
[final] ).
cnf(c_0_3091,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_2354,
[final] ).
cnf(c_0_3092,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_2355,
[final] ).
cnf(c_0_3093,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_2356,
[final] ).
cnf(c_0_3094,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_2357,
[final] ).
cnf(c_0_3095,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_2358,
[final] ).
cnf(c_0_3096,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_2359,
[final] ).
cnf(c_0_3097,plain,
( c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2360,
[final] ).
cnf(c_0_3098,plain,
( c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
c_0_2361,
[final] ).
cnf(c_0_3099,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_2362,
[final] ).
cnf(c_0_3100,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_2363,
[final] ).
cnf(c_0_3101,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_2364,
[final] ).
cnf(c_0_3102,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_2365,
[final] ).
cnf(c_0_3103,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
c_0_2366,
[final] ).
cnf(c_0_3104,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
c_0_2367,
[final] ).
cnf(c_0_3105,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4) ),
c_0_2368,
[final] ).
cnf(c_0_3106,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3) ),
c_0_2369,
[final] ).
cnf(c_0_3107,plain,
( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2370,
[final] ).
cnf(c_0_3108,plain,
( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
c_0_2371,
[final] ).
cnf(c_0_3109,plain,
( c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X3),X4,X3) = c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X4,X3),c_Polynomial_Osynthetic__div(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
c_0_2372,
[final] ).
cnf(c_0_3110,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_2373,
[final] ).
cnf(c_0_3111,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_2374,
[final] ).
cnf(c_0_3112,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_2375,
[final] ).
cnf(c_0_3113,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_2376,
[final] ).
cnf(c_0_3114,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X3,X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
c_0_2377,
[final] ).
cnf(c_0_3115,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_2378,
[final] ).
cnf(c_0_3116,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_2379,
[final] ).
cnf(c_0_3117,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_2380,
[final] ).
cnf(c_0_3118,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_2381,
[final] ).
cnf(c_0_3119,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_2382,
[final] ).
cnf(c_0_3120,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_2383,
[final] ).
cnf(c_0_3121,plain,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
c_0_2384,
[final] ).
cnf(c_0_3122,plain,
( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X3,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oeq__class_Oeq(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ class_HOL_Oeq(X2)
| ~ class_HOL_Ozero(X2) ),
c_0_2385,
[final] ).
cnf(c_0_3123,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_2386,
[final] ).
cnf(c_0_3124,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_2387,
[final] ).
cnf(c_0_3125,plain,
( X1 = c_Polynomial_Osynthetic__div(X2,X3,X4)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X1,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X5,X1,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
c_0_2388,
[final] ).
cnf(c_0_3126,plain,
( X1 = c_Polynomial_Opoly(X2,X3,X4)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X5,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X1,X5,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
c_0_2389,
[final] ).
cnf(c_0_3127,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_2390,
[final] ).
cnf(c_0_3128,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_2391,
[final] ).
cnf(c_0_3129,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_2392,
[final] ).
cnf(c_0_3130,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_2393,
[final] ).
cnf(c_0_3131,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_2394,
[final] ).
cnf(c_0_3132,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_2395,
[final] ).
cnf(c_0_3133,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_2396,
[final] ).
cnf(c_0_3134,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_2397,
[final] ).
cnf(c_0_3135,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_2398,
[final] ).
cnf(c_0_3136,plain,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
c_0_2399,
[final] ).
cnf(c_0_3137,plain,
( c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
c_0_2400,
[final] ).
cnf(c_0_3138,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_2401,
[final] ).
cnf(c_0_3139,plain,
( c_HOL_Oord__class_Oless(X1,X2,X4)
| c_HOL_Oord__class_Oless(X1,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2402,
[final] ).
cnf(c_0_3140,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2403,
[final] ).
cnf(c_0_3141,plain,
( c_lessequals(X1,X4,X3)
| c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2404,
[final] ).
cnf(c_0_3142,plain,
( c_lessequals(X1,X2,X4)
| c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2405,
[final] ).
cnf(c_0_3143,plain,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
c_0_2406,
[final] ).
cnf(c_0_3144,plain,
( c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
c_0_2407,
[final] ).
cnf(c_0_3145,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_2408,
[final] ).
cnf(c_0_3146,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_2409,
[final] ).
cnf(c_0_3147,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_2410,
[final] ).
cnf(c_0_3148,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_2411,
[final] ).
cnf(c_0_3149,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_2412,
[final] ).
cnf(c_0_3150,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_2413,
[final] ).
cnf(c_0_3151,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_2414,
[final] ).
cnf(c_0_3152,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_2415,
[final] ).
cnf(c_0_3153,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_2416,
[final] ).
cnf(c_0_3154,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_2417,
[final] ).
cnf(c_0_3155,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_2418,
[final] ).
cnf(c_0_3156,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_2419,
[final] ).
cnf(c_0_3157,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_2420,
[final] ).
cnf(c_0_3158,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_2421,
[final] ).
cnf(c_0_3159,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_2422,
[final] ).
cnf(c_0_3160,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_2423,
[final] ).
cnf(c_0_3161,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_2424,
[final] ).
cnf(c_0_3162,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_2425,
[final] ).
cnf(c_0_3163,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_2426,
[final] ).
cnf(c_0_3164,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_2427,
[final] ).
cnf(c_0_3165,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_2428,
[final] ).
cnf(c_0_3166,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_2429,
[final] ).
cnf(c_0_3167,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_2430,
[final] ).
cnf(c_0_3168,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_2431,
[final] ).
cnf(c_0_3169,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_2432,
[final] ).
cnf(c_0_3170,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_2433,
[final] ).
cnf(c_0_3171,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_2434,
[final] ).
cnf(c_0_3172,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_2435,
[final] ).
cnf(c_0_3173,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_2436,
[final] ).
cnf(c_0_3174,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_2437,
[final] ).
cnf(c_0_3175,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_2438,
[final] ).
cnf(c_0_3176,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_2439,
[final] ).
cnf(c_0_3177,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_2440,
[final] ).
cnf(c_0_3178,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_2441,
[final] ).
cnf(c_0_3179,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_2442,
[final] ).
cnf(c_0_3180,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_2443,
[final] ).
cnf(c_0_3181,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_2444,
[final] ).
cnf(c_0_3182,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_2445,
[final] ).
cnf(c_0_3183,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_2446,
[final] ).
cnf(c_0_3184,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_2447,
[final] ).
cnf(c_0_3185,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_2448,
[final] ).
cnf(c_0_3186,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2449,
[final] ).
cnf(c_0_3187,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2450,
[final] ).
cnf(c_0_3188,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2451,
[final] ).
cnf(c_0_3189,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2452,
[final] ).
cnf(c_0_3190,plain,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2453,
[final] ).
cnf(c_0_3191,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2454,
[final] ).
cnf(c_0_3192,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2455,
[final] ).
cnf(c_0_3193,plain,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2456,
[final] ).
cnf(c_0_3194,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2457,
[final] ).
cnf(c_0_3195,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2458,
[final] ).
cnf(c_0_3196,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2459,
[final] ).
cnf(c_0_3197,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_2460,
[final] ).
cnf(c_0_3198,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_2461,
[final] ).
cnf(c_0_3199,plain,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| X1 = c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_2462,
[final] ).
cnf(c_0_3200,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_2463,
[final] ).
cnf(c_0_3201,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_2464,
[final] ).
cnf(c_0_3202,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_2465,
[final] ).
cnf(c_0_3203,plain,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_2466,
[final] ).
cnf(c_0_3204,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_2467,
[final] ).
cnf(c_0_3205,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_2468,
[final] ).
cnf(c_0_3206,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_2469,
[final] ).
cnf(c_0_3207,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2470,
[final] ).
cnf(c_0_3208,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
c_0_2471,
[final] ).
cnf(c_0_3209,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_2472,
[final] ).
cnf(c_0_3210,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_2473,
[final] ).
cnf(c_0_3211,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_2474,
[final] ).
cnf(c_0_3212,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_2475,
[final] ).
cnf(c_0_3213,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_2476,
[final] ).
cnf(c_0_3214,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_2477,
[final] ).
cnf(c_0_3215,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_2478,
[final] ).
cnf(c_0_3216,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_2479,
[final] ).
cnf(c_0_3217,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_2480,
[final] ).
cnf(c_0_3218,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_2481,
[final] ).
cnf(c_0_3219,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_2482,
[final] ).
cnf(c_0_3220,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_2483,
[final] ).
cnf(c_0_3221,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_2484,
[final] ).
cnf(c_0_3222,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_2485,
[final] ).
cnf(c_0_3223,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_2486,
[final] ).
cnf(c_0_3224,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_2487,
[final] ).
cnf(c_0_3225,plain,
( c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X4,X3),X3) = c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
c_0_2488,
[final] ).
cnf(c_0_3226,plain,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2489,
[final] ).
cnf(c_0_3227,plain,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2490,
[final] ).
cnf(c_0_3228,plain,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)
| ~ class_OrderedGroup_Omonoid__mult(X3) ),
c_0_2491,
[final] ).
cnf(c_0_3229,plain,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2492,
[final] ).
cnf(c_0_3230,plain,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2493,
[final] ).
cnf(c_0_3231,plain,
( c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
c_0_2494,
[final] ).
cnf(c_0_3232,plain,
( c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X3),X4,X3) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
c_0_2495,
[final] ).
cnf(c_0_3233,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_2496,
[final] ).
cnf(c_0_3234,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_2497,
[final] ).
cnf(c_0_3235,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_2498,
[final] ).
cnf(c_0_3236,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_2499,
[final] ).
cnf(c_0_3237,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_2500,
[final] ).
cnf(c_0_3238,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_2501,
[final] ).
cnf(c_0_3239,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_2502,
[final] ).
cnf(c_0_3240,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_2503,
[final] ).
cnf(c_0_3241,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_2504,
[final] ).
cnf(c_0_3242,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_2505,
[final] ).
cnf(c_0_3243,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_2506,
[final] ).
cnf(c_0_3244,plain,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2507,
[final] ).
cnf(c_0_3245,plain,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2508,
[final] ).
cnf(c_0_3246,plain,
( c_HOL_Oord__class_Oless(X1,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2509,
[final] ).
cnf(c_0_3247,plain,
( c_HOL_Oord__class_Oless(X1,X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2510,
[final] ).
cnf(c_0_3248,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2511,
[final] ).
cnf(c_0_3249,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2512,
[final] ).
cnf(c_0_3250,plain,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2513,
[final] ).
cnf(c_0_3251,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2514,
[final] ).
cnf(c_0_3252,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2515,
[final] ).
cnf(c_0_3253,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2516,
[final] ).
cnf(c_0_3254,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2517,
[final] ).
cnf(c_0_3255,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
c_0_2518,
[final] ).
cnf(c_0_3256,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_2519,
[final] ).
cnf(c_0_3257,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_2520,
[final] ).
cnf(c_0_3258,plain,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_2521,
[final] ).
cnf(c_0_3259,plain,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
c_0_2522,
[final] ).
cnf(c_0_3260,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_2523,
[final] ).
cnf(c_0_3261,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_2524,
[final] ).
cnf(c_0_3262,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_2525,
[final] ).
cnf(c_0_3263,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_2526,
[final] ).
cnf(c_0_3264,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_2527,
[final] ).
cnf(c_0_3265,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_2528,
[final] ).
cnf(c_0_3266,plain,
( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_2529,
[final] ).
cnf(c_0_3267,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_2530,
[final] ).
cnf(c_0_3268,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_2531,
[final] ).
cnf(c_0_3269,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_2532,
[final] ).
cnf(c_0_3270,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_2533,
[final] ).
cnf(c_0_3271,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_2534,
[final] ).
cnf(c_0_3272,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_2535,
[final] ).
cnf(c_0_3273,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_2536,
[final] ).
cnf(c_0_3274,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_2537,
[final] ).
cnf(c_0_3275,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_2538,
[final] ).
cnf(c_0_3276,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_2539,
[final] ).
cnf(c_0_3277,plain,
( c_Polynomial_Opos__poly(X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_2540,
[final] ).
cnf(c_0_3278,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_2541,
[final] ).
cnf(c_0_3279,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_2542,
[final] ).
cnf(c_0_3280,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_2543,
[final] ).
cnf(c_0_3281,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_2544,
[final] ).
cnf(c_0_3282,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_2545,
[final] ).
cnf(c_0_3283,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2546,
[final] ).
cnf(c_0_3284,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_2547,
[final] ).
cnf(c_0_3285,plain,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
c_0_2548,
[final] ).
cnf(c_0_3286,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_2549,
[final] ).
cnf(c_0_3287,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_2550,
[final] ).
cnf(c_0_3288,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_2551,
[final] ).
cnf(c_0_3289,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_2552,
[final] ).
cnf(c_0_3290,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_2553,
[final] ).
cnf(c_0_3291,plain,
( c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2554,
[final] ).
cnf(c_0_3292,plain,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2555,
[final] ).
cnf(c_0_3293,plain,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2556,
[final] ).
cnf(c_0_3294,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2557,
[final] ).
cnf(c_0_3295,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2558,
[final] ).
cnf(c_0_3296,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2559,
[final] ).
cnf(c_0_3297,plain,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2560,
[final] ).
cnf(c_0_3298,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2561,
[final] ).
cnf(c_0_3299,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2562,
[final] ).
cnf(c_0_3300,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2563,
[final] ).
cnf(c_0_3301,plain,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2564,
[final] ).
cnf(c_0_3302,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2565,
[final] ).
cnf(c_0_3303,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2566,
[final] ).
cnf(c_0_3304,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2567,
[final] ).
cnf(c_0_3305,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2568,
[final] ).
cnf(c_0_3306,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2569,
[final] ).
cnf(c_0_3307,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2570,
[final] ).
cnf(c_0_3308,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2571,
[final] ).
cnf(c_0_3309,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2572,
[final] ).
cnf(c_0_3310,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2573,
[final] ).
cnf(c_0_3311,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2574,
[final] ).
cnf(c_0_3312,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_2575,
[final] ).
cnf(c_0_3313,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_2576,
[final] ).
cnf(c_0_3314,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_2577,
[final] ).
cnf(c_0_3315,plain,
( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
| ~ class_RealVector_Oreal__normed__field(X3)
| ~ class_SEQ_Obanach(X3) ),
c_0_2578,
[final] ).
cnf(c_0_3316,plain,
( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
| ~ class_RealVector_Oreal__normed__field(X2)
| ~ class_SEQ_Obanach(X2) ),
c_0_2579,
[final] ).
cnf(c_0_3317,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_2580,
[final] ).
cnf(c_0_3318,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_2581,
[final] ).
cnf(c_0_3319,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_2582,
[final] ).
cnf(c_0_3320,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_2583,
[final] ).
cnf(c_0_3321,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_2584,
[final] ).
cnf(c_0_3322,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_2585,
[final] ).
cnf(c_0_3323,plain,
( c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2586,
[final] ).
cnf(c_0_3324,plain,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X4,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2587,
[final] ).
cnf(c_0_3325,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_2588,
[final] ).
cnf(c_0_3326,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_2589,
[final] ).
cnf(c_0_3327,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_2590,
[final] ).
cnf(c_0_3328,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_2591,
[final] ).
cnf(c_0_3329,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_2592,
[final] ).
cnf(c_0_3330,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_2593,
[final] ).
cnf(c_0_3331,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_2594,
[final] ).
cnf(c_0_3332,plain,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2595,
[final] ).
cnf(c_0_3333,plain,
( c_Polynomial_Opos__poly(X2,X3)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_2596,
[final] ).
cnf(c_0_3334,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_2597,
[final] ).
cnf(c_0_3335,plain,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2598,
[final] ).
cnf(c_0_3336,plain,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2599,
[final] ).
cnf(c_0_3337,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_2600,
[final] ).
cnf(c_0_3338,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2601,
[final] ).
cnf(c_0_3339,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_2602,
[final] ).
cnf(c_0_3340,plain,
( c_lessequals(X1,X3,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
c_0_2603,
[final] ).
cnf(c_0_3341,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_2604,
[final] ).
cnf(c_0_3342,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_2605,
[final] ).
cnf(c_0_3343,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_2606,
[final] ).
cnf(c_0_3344,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_2607,
[final] ).
cnf(c_0_3345,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_2608,
[final] ).
cnf(c_0_3346,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_2609,
[final] ).
cnf(c_0_3347,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_2610,
[final] ).
cnf(c_0_3348,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_2611,
[final] ).
cnf(c_0_3349,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_2612,
[final] ).
cnf(c_0_3350,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_2613,
[final] ).
cnf(c_0_3351,plain,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2614,
[final] ).
cnf(c_0_3352,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2615,
[final] ).
cnf(c_0_3353,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_2616,
[final] ).
cnf(c_0_3354,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_2617,
[final] ).
cnf(c_0_3355,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_2618,
[final] ).
cnf(c_0_3356,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_2619,
[final] ).
cnf(c_0_3357,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_2620,
[final] ).
cnf(c_0_3358,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_2621,
[final] ).
cnf(c_0_3359,plain,
( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
c_0_2622,
[final] ).
cnf(c_0_3360,plain,
( c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X1,X2,X3),X3) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X1,X3),X2,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
c_0_2623,
[final] ).
cnf(c_0_3361,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_2624,
[final] ).
cnf(c_0_3362,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_2625,
[final] ).
cnf(c_0_3363,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_2626,
[final] ).
cnf(c_0_3364,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_2627,
[final] ).
cnf(c_0_3365,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_2628,
[final] ).
cnf(c_0_3366,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_2629,
[final] ).
cnf(c_0_3367,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_2630,
[final] ).
cnf(c_0_3368,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_2631,
[final] ).
cnf(c_0_3369,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_2632,
[final] ).
cnf(c_0_3370,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_2633,
[final] ).
cnf(c_0_3371,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_2634,
[final] ).
cnf(c_0_3372,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_2635,
[final] ).
cnf(c_0_3373,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_2636,
[final] ).
cnf(c_0_3374,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_2637,
[final] ).
cnf(c_0_3375,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_2638,
[final] ).
cnf(c_0_3376,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_2639,
[final] ).
cnf(c_0_3377,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_2640,
[final] ).
cnf(c_0_3378,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_2641,
[final] ).
cnf(c_0_3379,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_Osmult(X3,X1,X2) != c_Polynomial_OpCons(X4,X1,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
c_0_2642,
[final] ).
cnf(c_0_3380,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_2643,
[final] ).
cnf(c_0_3381,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_2644,
[final] ).
cnf(c_0_3382,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_2645,
[final] ).
cnf(c_0_3383,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_2646,
[final] ).
cnf(c_0_3384,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_2647,
[final] ).
cnf(c_0_3385,plain,
( c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X2)),X2)
| ~ c_Polynomial_Opos__poly(X1,X2)
| ~ c_Polynomial_Opos__poly(X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_2648,
[final] ).
cnf(c_0_3386,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_2649,
[final] ).
cnf(c_0_3387,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_2650,
[final] ).
cnf(c_0_3388,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_2651,
[final] ).
cnf(c_0_3389,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_2652,
[final] ).
cnf(c_0_3390,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_2653,
[final] ).
cnf(c_0_3391,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_2654,
[final] ).
cnf(c_0_3392,plain,
( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_2655,
[final] ).
cnf(c_0_3393,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_2656,
[final] ).
cnf(c_0_3394,plain,
( X2 = X1
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2657,
[final] ).
cnf(c_0_3395,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2658,
[final] ).
cnf(c_0_3396,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2659,
[final] ).
cnf(c_0_3397,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_2660,
[final] ).
cnf(c_0_3398,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_2661,
[final] ).
cnf(c_0_3399,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_2662,
[final] ).
cnf(c_0_3400,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_2663,
[final] ).
cnf(c_0_3401,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_2664,
[final] ).
cnf(c_0_3402,plain,
( X1 = X2
| c_Polynomial_OpCons(X1,X3,X4) != c_Polynomial_OpCons(X2,X5,X4)
| ~ class_HOL_Ozero(X4) ),
c_0_2665,
[final] ).
cnf(c_0_3403,plain,
( X1 = X2
| c_Polynomial_OpCons(X3,X1,X4) != c_Polynomial_OpCons(X5,X2,X4)
| ~ class_HOL_Ozero(X4) ),
c_0_2666,
[final] ).
cnf(c_0_3404,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2667,
[final] ).
cnf(c_0_3405,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2668,
[final] ).
cnf(c_0_3406,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2669,
[final] ).
cnf(c_0_3407,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2670,
[final] ).
cnf(c_0_3408,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2671,
[final] ).
cnf(c_0_3409,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ c_lessequals(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_2672,
[final] ).
cnf(c_0_3410,plain,
( ~ c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2673,
[final] ).
cnf(c_0_3411,plain,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2674,
[final] ).
cnf(c_0_3412,plain,
( c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2675,
[final] ).
cnf(c_0_3413,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_2676,
[final] ).
cnf(c_0_3414,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_2677,
[final] ).
cnf(c_0_3415,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_2678,
[final] ).
cnf(c_0_3416,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_2679,
[final] ).
cnf(c_0_3417,plain,
( c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2680,
[final] ).
cnf(c_0_3418,plain,
( X1 = X2
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
c_0_2681,
[final] ).
cnf(c_0_3419,plain,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = X1
| ~ class_Orderings_Olinorder(X3) ),
c_0_2682,
[final] ).
cnf(c_0_3420,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_2683,
[final] ).
cnf(c_0_3421,plain,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = X1
| ~ class_Orderings_Olinorder(X3) ),
c_0_2684,
[final] ).
cnf(c_0_3422,plain,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),X2,X3) = X1
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_2685,
[final] ).
cnf(c_0_3423,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2686,
[final] ).
cnf(c_0_3424,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2687,
[final] ).
cnf(c_0_3425,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_2688,
[final] ).
cnf(c_0_3426,plain,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_2689,
[final] ).
cnf(c_0_3427,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2690,
[final] ).
cnf(c_0_3428,plain,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2691,
[final] ).
cnf(c_0_3429,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2692,
[final] ).
cnf(c_0_3430,plain,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2693,
[final] ).
cnf(c_0_3431,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_2694,
[final] ).
cnf(c_0_3432,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_2695,
[final] ).
cnf(c_0_3433,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_2696,
[final] ).
cnf(c_0_3434,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_2697,
[final] ).
cnf(c_0_3435,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_2698,
[final] ).
cnf(c_0_3436,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_2699,
[final] ).
cnf(c_0_3437,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_2700,
[final] ).
cnf(c_0_3438,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal) ),
c_0_2701,
[final] ).
cnf(c_0_3439,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_2702,
[final] ).
cnf(c_0_3440,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_2703,
[final] ).
cnf(c_0_3441,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_2704,
[final] ).
cnf(c_0_3442,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_2705,
[final] ).
cnf(c_0_3443,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_2706,
[final] ).
cnf(c_0_3444,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_2707,
[final] ).
cnf(c_0_3445,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_2708,
[final] ).
cnf(c_0_3446,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_2709,
[final] ).
cnf(c_0_3447,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_2710,
[final] ).
cnf(c_0_3448,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_2711,
[final] ).
cnf(c_0_3449,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_2712,
[final] ).
cnf(c_0_3450,plain,
( c_Polynomial_Opos__poly(c_Polynomial_OpCons(X3,X1,X2),X2)
| ~ c_Polynomial_Opos__poly(X1,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
c_0_2713,
[final] ).
cnf(c_0_3451,plain,
( X2 = X1
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2714,
[final] ).
cnf(c_0_3452,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ c_lessequals(X2,X1,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2715,
[final] ).
cnf(c_0_3453,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2716,
[final] ).
cnf(c_0_3454,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2717,
[final] ).
cnf(c_0_3455,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2718,
[final] ).
cnf(c_0_3456,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2719,
[final] ).
cnf(c_0_3457,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| X1 = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2720,
[final] ).
cnf(c_0_3458,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2721,
[final] ).
cnf(c_0_3459,plain,
( c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
| ~ class_Orderings_Olinorder(X3) ),
c_0_2722,
[final] ).
cnf(c_0_3460,plain,
( c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
| ~ class_Orderings_Olinorder(X3) ),
c_0_2723,
[final] ).
cnf(c_0_3461,plain,
( c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2724,
[final] ).
cnf(c_0_3462,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_2725,
[final] ).
cnf(c_0_3463,plain,
( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_2726,
[final] ).
cnf(c_0_3464,plain,
( c_lessequals(c_NthRoot_Osqrt(X1),c_NthRoot_Osqrt(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_2727,
[final] ).
cnf(c_0_3465,plain,
( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_2728,
[final] ).
cnf(c_0_3466,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_2729,
[final] ).
cnf(c_0_3467,plain,
( c_Orderings_Oord__class_Omax(X2,X1,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2730,
[final] ).
cnf(c_0_3468,plain,
( c_Orderings_Oord__class_Omax(X1,X2,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2731,
[final] ).
cnf(c_0_3469,plain,
( c_Orderings_Oord__class_Omin(X2,X1,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2732,
[final] ).
cnf(c_0_3470,plain,
( c_Orderings_Oord__class_Omin(X1,X2,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2733,
[final] ).
cnf(c_0_3471,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2734,
[final] ).
cnf(c_0_3472,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2735,
[final] ).
cnf(c_0_3473,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Opreorder(X3) ),
c_0_2736,
[final] ).
cnf(c_0_3474,plain,
( c_lessequals(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Oorder(X3) ),
c_0_2737,
[final] ).
cnf(c_0_3475,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_2738,
[final] ).
cnf(c_0_3476,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
c_0_2739,
[final] ).
cnf(c_0_3477,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_2740,
[final] ).
cnf(c_0_3478,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_2741,
[final] ).
cnf(c_0_3479,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_2742,
[final] ).
cnf(c_0_3480,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_2743,
[final] ).
cnf(c_0_3481,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_2744,
[final] ).
cnf(c_0_3482,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
c_0_2745,
[final] ).
cnf(c_0_3483,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_2746,
[final] ).
cnf(c_0_3484,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_2747,
[final] ).
cnf(c_0_3485,plain,
( X1 = X2
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
c_0_2748,
[final] ).
cnf(c_0_3486,plain,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(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_2749,
[final] ).
cnf(c_0_3487,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
c_0_2750,
[final] ).
cnf(c_0_3488,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_2751,
[final] ).
cnf(c_0_3489,plain,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(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_2752,
[final] ).
cnf(c_0_3490,plain,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_Ring__and__Field_Oabs__if(X2) ),
c_0_2753,
[final] ).
cnf(c_0_3491,plain,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_2754,
[final] ).
cnf(c_0_3492,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
c_0_2755,
[final] ).
cnf(c_0_3493,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_Osmult(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
c_0_2756,
[final] ).
cnf(c_0_3494,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_2757,
[final] ).
cnf(c_0_3495,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_OpCons(X3,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
c_0_2758,
[final] ).
cnf(c_0_3496,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_2759,
[final] ).
cnf(c_0_3497,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_2760,
[final] ).
cnf(c_0_3498,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_2761,
[final] ).
cnf(c_0_3499,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_2762,
[final] ).
cnf(c_0_3500,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_2763,
[final] ).
cnf(c_0_3501,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_2764,
[final] ).
cnf(c_0_3502,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_2765,
[final] ).
cnf(c_0_3503,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2766,
[final] ).
cnf(c_0_3504,plain,
( c_lessequals(X1,X1,X2)
| c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_2767,
[final] ).
cnf(c_0_3505,plain,
( c_HOL_Oord__class_Oless(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2768,
[final] ).
cnf(c_0_3506,plain,
( c_lessequals(X1,X2,X3)
| c_HOL_Oord__class_Oless(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2769,
[final] ).
cnf(c_0_3507,plain,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2770,
[final] ).
cnf(c_0_3508,plain,
( c_Orderings_Oord__class_Omax(X1,X2,X3) = c_Orderings_Oord__class_Omax(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2771,
[final] ).
cnf(c_0_3509,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_2772,
[final] ).
cnf(c_0_3510,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_2773,
[final] ).
cnf(c_0_3511,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
c_0_2774,
[final] ).
cnf(c_0_3512,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
c_0_2775,
[final] ).
cnf(c_0_3513,plain,
( c_Orderings_Oord__class_Omin(X1,X2,X3) = c_Orderings_Oord__class_Omin(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
c_0_2776,
[final] ).
cnf(c_0_3514,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_2777,
[final] ).
cnf(c_0_3515,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_2778,
[final] ).
cnf(c_0_3516,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_2779,
[final] ).
cnf(c_0_3517,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_2780,
[final] ).
cnf(c_0_3518,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_2781,
[final] ).
cnf(c_0_3519,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Polynomial_OpCons(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
c_0_2782,
[final] ).
cnf(c_0_3520,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_2783,
[final] ).
cnf(c_0_3521,plain,
( c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
c_0_2784,
[final] ).
cnf(c_0_3522,plain,
( X1 = X2
| ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
c_0_2785,
[final] ).
cnf(c_0_3523,plain,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
c_0_2786,
[final] ).
cnf(c_0_3524,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_2787,
[final] ).
cnf(c_0_3525,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_2788,
[final] ).
cnf(c_0_3526,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_2789,
[final] ).
cnf(c_0_3527,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_2790,
[final] ).
cnf(c_0_3528,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_2791,
[final] ).
cnf(c_0_3529,plain,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X1,tc_RealDef_Oreal) ),
c_0_2792,
[final] ).
cnf(c_0_3530,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_2793,
[final] ).
cnf(c_0_3531,plain,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
c_0_2794,
[final] ).
cnf(c_0_3532,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_2795,
[final] ).
cnf(c_0_3533,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_2796,
[final] ).
cnf(c_0_3534,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_2797,
[final] ).
cnf(c_0_3535,plain,
( X1 = X2
| c_HOL_Ominus__class_Ominus(X1,X2,X3) != c_HOL_Ozero__class_Ozero(X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_2798,
[final] ).
cnf(c_0_3536,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_2799,
[final] ).
cnf(c_0_3537,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_2800,
[final] ).
cnf(c_0_3538,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_2801,
[final] ).
cnf(c_0_3539,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_2802,
[final] ).
cnf(c_0_3540,plain,
( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
c_0_2803,
[final] ).
cnf(c_0_3541,plain,
( X1 = X2
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| ~ class_HOL_Oeq(X3) ),
c_0_2804,
[final] ).
cnf(c_0_3542,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_2805,
[final] ).
cnf(c_0_3543,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_2806,
[final] ).
cnf(c_0_3544,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
c_0_2807,
[final] ).
cnf(c_0_3545,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_2808,
[final] ).
cnf(c_0_3546,plain,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_2809,
[final] ).
cnf(c_0_3547,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_2810,
[final] ).
cnf(c_0_3548,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_2811,
[final] ).
cnf(c_0_3549,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_2812,
[final] ).
cnf(c_0_3550,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_2813,
[final] ).
cnf(c_0_3551,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_2814,
[final] ).
cnf(c_0_3552,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_2815,
[final] ).
cnf(c_0_3553,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_2816,
[final] ).
cnf(c_0_3554,plain,
( c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_2817,
[final] ).
cnf(c_0_3555,plain,
( c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_2818,
[final] ).
cnf(c_0_3556,plain,
( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
c_0_2819,
[final] ).
cnf(c_0_3557,plain,
( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
c_0_2820,
[final] ).
cnf(c_0_3558,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_2821,
[final] ).
cnf(c_0_3559,plain,
( c_lessequals(X1,c_HOL_Oabs__class_Oabs(X1,X2),X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
c_0_2822,
[final] ).
cnf(c_0_3560,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1)) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_2823,
[final] ).
cnf(c_0_3561,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)) = X1
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
c_0_2824,
[final] ).
cnf(c_0_3562,plain,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_2825,
[final] ).
cnf(c_0_3563,plain,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_2826,
[final] ).
cnf(c_0_3564,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_2827,
[final] ).
cnf(c_0_3565,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_2828,
[final] ).
cnf(c_0_3566,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_2829,
[final] ).
cnf(c_0_3567,plain,
( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_2830,
[final] ).
cnf(c_0_3568,plain,
( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_2831,
[final] ).
cnf(c_0_3569,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_2832,
[final] ).
cnf(c_0_3570,plain,
( c_HOL_Oeq__class_Oeq(X1,X1,tc_Polynomial_Opoly(X2))
| ~ class_HOL_Oeq(X2)
| ~ class_HOL_Ozero(X2) ),
c_0_2833,
[final] ).
cnf(c_0_3571,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_2834,
[final] ).
cnf(c_0_3572,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
c_0_2835,
[final] ).
cnf(c_0_3573,plain,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
c_0_2836,
[final] ).
cnf(c_0_3574,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_2837,
[final] ).
cnf(c_0_3575,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_2838,
[final] ).
cnf(c_0_3576,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_2839,
[final] ).
cnf(c_0_3577,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_2840,
[final] ).
cnf(c_0_3578,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_2841,
[final] ).
cnf(c_0_3579,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_2842,
[final] ).
cnf(c_0_3580,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_2843,
[final] ).
cnf(c_0_3581,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_2844,
[final] ).
cnf(c_0_3582,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_2845,
[final] ).
cnf(c_0_3583,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_2846,
[final] ).
cnf(c_0_3584,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_2847,
[final] ).
cnf(c_0_3585,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_2848,
[final] ).
cnf(c_0_3586,plain,
( c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2849,
[final] ).
cnf(c_0_3587,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Omonoid__add(X2) ),
c_0_2850,
[final] ).
cnf(c_0_3588,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Omonoid__add(X1) ),
c_0_2851,
[final] ).
cnf(c_0_3589,plain,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(X2),X2) = X1
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
c_0_2852,
[final] ).
cnf(c_0_3590,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_2853,
[final] ).
cnf(c_0_3591,plain,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(X1),X2,X1) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_2854,
[final] ).
cnf(c_0_3592,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_2855,
[final] ).
cnf(c_0_3593,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_2856,
[final] ).
cnf(c_0_3594,plain,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
c_0_2857,
[final] ).
cnf(c_0_3595,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Oab__group__add(X2) ),
c_0_2858,
[final] ).
cnf(c_0_3596,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2859,
[final] ).
cnf(c_0_3597,plain,
( c_HOL_Ominus__class_Ominus(X1,X1,X2) = c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2860,
[final] ).
cnf(c_0_3598,plain,
( c_Orderings_Oord__class_Omax(X1,X1,X2) = X1
| ~ class_Orderings_Olinorder(X2) ),
c_0_2861,
[final] ).
cnf(c_0_3599,plain,
( c_Orderings_Oord__class_Omin(X1,X1,X2) = X1
| ~ class_Orderings_Olinorder(X2) ),
c_0_2862,
[final] ).
cnf(c_0_3600,plain,
( c_HOL_Otimes__class_Otimes(X1,X1,X2) = X1
| ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
c_0_2863,
[final] ).
cnf(c_0_3601,plain,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
c_0_2864,
[final] ).
cnf(c_0_3602,plain,
( c_HOL_Oeq__class_Oeq(X1,X1,X2)
| ~ class_HOL_Oeq(X2) ),
c_0_2865,
[final] ).
cnf(c_0_3603,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
c_0_2866,
[final] ).
cnf(c_0_3604,plain,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
c_0_2867,
[final] ).
cnf(c_0_3605,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_2868,
[final] ).
cnf(c_0_3606,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_2869,
[final] ).
cnf(c_0_3607,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_2870,
[final] ).
cnf(c_0_3608,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_2871,
[final] ).
cnf(c_0_3609,plain,
( ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2872,
[final] ).
cnf(c_0_3610,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
c_0_2873,
[final] ).
cnf(c_0_3611,plain,
( X1 = X2
| c_HOL_Ouminus__class_Ouminus(X1,X3) != c_HOL_Ouminus__class_Ouminus(X2,X3)
| ~ class_OrderedGroup_Ogroup__add(X3) ),
c_0_2874,
[final] ).
cnf(c_0_3612,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2875,
[final] ).
cnf(c_0_3613,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2876,
[final] ).
cnf(c_0_3614,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2877,
[final] ).
cnf(c_0_3615,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_Lattices_Oboolean__algebra(X2) ),
c_0_2878,
[final] ).
cnf(c_0_3616,plain,
( c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = X1
| ~ class_OrderedGroup_Ogroup__add(X2) ),
c_0_2879,
[final] ).
cnf(c_0_3617,plain,
( c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__field(X2)
| ~ class_SEQ_Obanach(X2) ),
c_0_2880,
[final] ).
cnf(c_0_3618,plain,
( X1 = X2
| c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal) ),
c_0_2881,
[final] ).
cnf(c_0_3619,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_2882,
[final] ).
cnf(c_0_3620,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_2883,
[final] ).
cnf(c_0_3621,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_2884,
[final] ).
cnf(c_0_3622,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_2885,
[final] ).
cnf(c_0_3623,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_2886,
[final] ).
cnf(c_0_3624,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_2887,
[final] ).
cnf(c_0_3625,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_2888,
[final] ).
cnf(c_0_3626,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_2889,
[final] ).
cnf(c_0_3627,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_2890,
[final] ).
cnf(c_0_3628,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_2891,
[final] ).
cnf(c_0_3629,plain,
( X1 = X2
| c_Complex_ORe(X1) != c_Complex_ORe(X2)
| c_Complex_OIm(X1) != c_Complex_OIm(X2) ),
c_0_2892,
[final] ).
cnf(c_0_3630,plain,
( class_HOL_Oeq(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
c_0_2893,
[final] ).
cnf(c_0_3631,plain,
( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
c_0_2894,
[final] ).
cnf(c_0_3632,plain,
( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_2895,
[final] ).
cnf(c_0_3633,plain,
( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_2896,
[final] ).
cnf(c_0_3634,plain,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2897,
[final] ).
cnf(c_0_3635,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2898,
[final] ).
cnf(c_0_3636,plain,
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2899,
[final] ).
cnf(c_0_3637,plain,
( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2900,
[final] ).
cnf(c_0_3638,plain,
( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_2901,
[final] ).
cnf(c_0_3639,plain,
( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2902,
[final] ).
cnf(c_0_3640,plain,
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2903,
[final] ).
cnf(c_0_3641,plain,
( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2904,
[final] ).
cnf(c_0_3642,plain,
( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2905,
[final] ).
cnf(c_0_3643,plain,
( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_2906,
[final] ).
cnf(c_0_3644,plain,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
c_0_2907,
[final] ).
cnf(c_0_3645,plain,
( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2908,
[final] ).
cnf(c_0_3646,plain,
( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2909,
[final] ).
cnf(c_0_3647,plain,
( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2910,
[final] ).
cnf(c_0_3648,plain,
( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
c_0_2911,
[final] ).
cnf(c_0_3649,plain,
( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2912,
[final] ).
cnf(c_0_3650,plain,
( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2913,
[final] ).
cnf(c_0_3651,plain,
( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2914,
[final] ).
cnf(c_0_3652,plain,
( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_2915,
[final] ).
cnf(c_0_3653,plain,
( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2916,
[final] ).
cnf(c_0_3654,plain,
( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_2917,
[final] ).
cnf(c_0_3655,plain,
( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_2918,
[final] ).
cnf(c_0_3656,plain,
( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_2919,
[final] ).
cnf(c_0_3657,plain,
( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_2920,
[final] ).
cnf(c_0_3658,plain,
( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_2921,
[final] ).
cnf(c_0_3659,plain,
( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2922,
[final] ).
cnf(c_0_3660,plain,
( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_2923,
[final] ).
cnf(c_0_3661,plain,
( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_2924,
[final] ).
cnf(c_0_3662,plain,
( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_2925,
[final] ).
cnf(c_0_3663,plain,
( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2926,
[final] ).
cnf(c_0_3664,plain,
( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2927,
[final] ).
cnf(c_0_3665,plain,
( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_2928,
[final] ).
cnf(c_0_3666,plain,
( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_2929,
[final] ).
cnf(c_0_3667,plain,
( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2930,
[final] ).
cnf(c_0_3668,plain,
( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_2931,
[final] ).
cnf(c_0_3669,plain,
( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
c_0_2932,
[final] ).
cnf(c_0_3670,plain,
( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
c_0_2933,
[final] ).
cnf(c_0_3671,plain,
( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
c_0_2934,
[final] ).
cnf(c_0_3672,plain,
( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2935,
[final] ).
cnf(c_0_3673,plain,
( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
c_0_2936,
[final] ).
cnf(c_0_3674,plain,
( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
c_0_2937,
[final] ).
cnf(c_0_3675,plain,
( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2938,
[final] ).
cnf(c_0_3676,plain,
( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2939,
[final] ).
cnf(c_0_3677,plain,
( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
c_0_2940,
[final] ).
cnf(c_0_3678,plain,
( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
c_0_2941,
[final] ).
cnf(c_0_3679,plain,
( class_Power_Opower(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
c_0_2942,
[final] ).
cnf(c_0_3680,plain,
( class_HOL_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
c_0_2943,
[final] ).
cnf(c_0_3681,plain,
( X1 = X2
| c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
c_0_2944,
[final] ).
cnf(c_0_3682,plain,
( X1 = X2
| c_Complex_Ocnj(X1) != c_Complex_Ocnj(X2) ),
c_0_2945,
[final] ).
cnf(c_0_3683,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
| c_NthRoot_Osqrt(X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
c_0_2946,
[final] ).
cnf(c_0_3684,plain,
( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Complex_Ocnj(X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
c_0_2947,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_2948_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_2948]) ).
cnf(c_0_2948_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_2948]) ).
cnf(c_0_2949_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_2949]) ).
cnf(c_0_2949_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_2949]) ).
cnf(c_0_2950_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_2950]) ).
cnf(c_0_2950_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_2950]) ).
cnf(c_0_2951_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_2951]) ).
cnf(c_0_2951_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_2951]) ).
cnf(c_0_2951_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_2951]) ).
cnf(c_0_2952_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_2952]) ).
cnf(c_0_2952_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_2952]) ).
cnf(c_0_2952_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_2952]) ).
cnf(c_0_2953_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_2953]) ).
cnf(c_0_2953_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_2953]) ).
cnf(c_0_2953_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_2953]) ).
cnf(c_0_2954_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_2954]) ).
cnf(c_0_2954_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_2954]) ).
cnf(c_0_2954_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_2954]) ).
cnf(c_0_2955_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_2955]) ).
cnf(c_0_2955_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_2955]) ).
cnf(c_0_2955_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_2955]) ).
cnf(c_0_2956_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_2956]) ).
cnf(c_0_2956_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_2956]) ).
cnf(c_0_2956_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_2956]) ).
cnf(c_0_2957_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_2957]) ).
cnf(c_0_2957_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_2957]) ).
cnf(c_0_2957_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_2957]) ).
cnf(c_0_2958_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_2958]) ).
cnf(c_0_2958_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_2958]) ).
cnf(c_0_2958_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_2958]) ).
cnf(c_0_2959_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2959]) ).
cnf(c_0_2959_1,axiom,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2959]) ).
cnf(c_0_2960_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2960]) ).
cnf(c_0_2960_1,axiom,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2960]) ).
cnf(c_0_2961_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2961]) ).
cnf(c_0_2961_1,axiom,
( ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2961]) ).
cnf(c_0_2962_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2962]) ).
cnf(c_0_2962_1,axiom,
( ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2962]) ).
cnf(c_0_2963_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2963]) ).
cnf(c_0_2963_1,axiom,
( ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2963]) ).
cnf(c_0_2964_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_2964]) ).
cnf(c_0_2964_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_2964]) ).
cnf(c_0_2965_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_2965]) ).
cnf(c_0_2965_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_2965]) ).
cnf(c_0_2966_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_2966]) ).
cnf(c_0_2966_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_2966]) ).
cnf(c_0_2967_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| c_lessequals(X3,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X2,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X2,X3,X1),c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2967]) ).
cnf(c_0_2967_1,axiom,
( c_lessequals(X3,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X2,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))
| ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X2,X3,X1),c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2967]) ).
cnf(c_0_2967_2,axiom,
( ~ c_lessequals(v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__infinity__1(X2,X3,X1),c_RealVector_Onorm__class_Onorm(X4,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(X3,c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(X2,X1,tc_Complex_Ocomplex),X4,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)) ),
inference(literals_permutation,[status(thm)],[c_0_2967]) ).
cnf(c_0_2968_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_2968]) ).
cnf(c_0_2968_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_2968]) ).
cnf(c_0_2968_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_2968]) ).
cnf(c_0_2969_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_2969]) ).
cnf(c_0_2969_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_2969]) ).
cnf(c_0_2969_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_2969]) ).
cnf(c_0_2970_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_2970]) ).
cnf(c_0_2970_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_2970]) ).
cnf(c_0_2971_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2971]) ).
cnf(c_0_2971_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),c_Orderings_Oord__class_Omin(X1,X4,X3),X3),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2971]) ).
cnf(c_0_2972_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_2972]) ).
cnf(c_0_2972_1,axiom,
( ~ class_Orderings_Olinorder(X4)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_2972]) ).
cnf(c_0_2973_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_2973]) ).
cnf(c_0_2973_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_2973]) ).
cnf(c_0_2973_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_2973]) ).
cnf(c_0_2974_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_2974]) ).
cnf(c_0_2974_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_2974]) ).
cnf(c_0_2974_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_2974]) ).
cnf(c_0_2975_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_2975]) ).
cnf(c_0_2975_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_2975]) ).
cnf(c_0_2976_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_2976]) ).
cnf(c_0_2976_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_2976]) ).
cnf(c_0_2976_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_2976]) ).
cnf(c_0_2976_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_2976]) ).
cnf(c_0_2976_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_2976]) ).
cnf(c_0_2977_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_2977]) ).
cnf(c_0_2977_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_2977]) ).
cnf(c_0_2977_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_2977]) ).
cnf(c_0_2977_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_2977]) ).
cnf(c_0_2977_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_2977]) ).
cnf(c_0_2978_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_2978]) ).
cnf(c_0_2978_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_2978]) ).
cnf(c_0_2978_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_2978]) ).
cnf(c_0_2978_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_2978]) ).
cnf(c_0_2979_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_2979]) ).
cnf(c_0_2979_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_2979]) ).
cnf(c_0_2980_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_2980]) ).
cnf(c_0_2980_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_2980]) ).
cnf(c_0_2981_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(X3,X2),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2981]) ).
cnf(c_0_2981_1,axiom,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__minimum__modulus__disc__1(X3,X2),tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_2981]) ).
cnf(c_0_2982_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_2982]) ).
cnf(c_0_2982_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_2982]) ).
cnf(c_0_2983_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,c_Polynomial_Osynthetic__div(X1,X2,X3),X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,X3),c_Polynomial_Osynthetic__div(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_2983]) ).
cnf(c_0_2983_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X3)
| c_HOL_Oplus__class_Oplus(X1,c_Polynomial_Osmult(X2,c_Polynomial_Osynthetic__div(X1,X2,X3),X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_OpCons(c_Polynomial_Opoly(X1,X2,X3),c_Polynomial_Osynthetic__div(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_2983]) ).
cnf(c_0_2984_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_2984]) ).
cnf(c_0_2984_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_2984]) ).
cnf(c_0_2984_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_2984]) ).
cnf(c_0_2984_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_2984]) ).
cnf(c_0_2985_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_2985]) ).
cnf(c_0_2985_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_2985]) ).
cnf(c_0_2985_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_2985]) ).
cnf(c_0_2985_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_2985]) ).
cnf(c_0_2986_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_2986]) ).
cnf(c_0_2986_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_2986]) ).
cnf(c_0_2987_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_2987]) ).
cnf(c_0_2987_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_2987]) ).
cnf(c_0_2988_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_2988]) ).
cnf(c_0_2988_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_2988]) ).
cnf(c_0_2988_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_2988]) ).
cnf(c_0_2988_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_2988]) ).
cnf(c_0_2988_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_2988]) ).
cnf(c_0_2988_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_2988]) ).
cnf(c_0_2989_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_2989]) ).
cnf(c_0_2989_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_2989]) ).
cnf(c_0_2989_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_2989]) ).
cnf(c_0_2989_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_2989]) ).
cnf(c_0_2989_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_2989]) ).
cnf(c_0_2989_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_2989]) ).
cnf(c_0_2990_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_2990]) ).
cnf(c_0_2990_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_2990]) ).
cnf(c_0_2990_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_2990]) ).
cnf(c_0_2990_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_2990]) ).
cnf(c_0_2990_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_2990]) ).
cnf(c_0_2990_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_2990]) ).
cnf(c_0_2991_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_2991]) ).
cnf(c_0_2991_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_2991]) ).
cnf(c_0_2991_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_2991]) ).
cnf(c_0_2991_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_2991]) ).
cnf(c_0_2991_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_2991]) ).
cnf(c_0_2991_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_2991]) ).
cnf(c_0_2992_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_2992]) ).
cnf(c_0_2992_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_2992]) ).
cnf(c_0_2992_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_2992]) ).
cnf(c_0_2992_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_2992]) ).
cnf(c_0_2992_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_2992]) ).
cnf(c_0_2992_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_2992]) ).
cnf(c_0_2993_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_2993]) ).
cnf(c_0_2993_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_2993]) ).
cnf(c_0_2993_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_2993]) ).
cnf(c_0_2993_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_2993]) ).
cnf(c_0_2993_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_2993]) ).
cnf(c_0_2993_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_2993]) ).
cnf(c_0_2994_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_2994]) ).
cnf(c_0_2994_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_2994]) ).
cnf(c_0_2994_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_2994]) ).
cnf(c_0_2994_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_2994]) ).
cnf(c_0_2995_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_2995]) ).
cnf(c_0_2995_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_2995]) ).
cnf(c_0_2995_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_2995]) ).
cnf(c_0_2996_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_2996]) ).
cnf(c_0_2996_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_2996]) ).
cnf(c_0_2996_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_2996]) ).
cnf(c_0_2997_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_2997]) ).
cnf(c_0_2997_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_2997]) ).
cnf(c_0_2997_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_2997]) ).
cnf(c_0_2998_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_2998]) ).
cnf(c_0_2998_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_2998]) ).
cnf(c_0_2998_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_2998]) ).
cnf(c_0_2999_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_2999]) ).
cnf(c_0_2999_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_2999]) ).
cnf(c_0_3000_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3000_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3000_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3000_3,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_Power_Opower__class_Opower(X4,X2,X3),X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3000]) ).
cnf(c_0_3001_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_3001]) ).
cnf(c_0_3001_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_3001]) ).
cnf(c_0_3001_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_3001]) ).
cnf(c_0_3001_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_3001]) ).
cnf(c_0_3002_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_3002]) ).
cnf(c_0_3002_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_3002]) ).
cnf(c_0_3002_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_3002]) ).
cnf(c_0_3002_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_3002]) ).
cnf(c_0_3003_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_3003]) ).
cnf(c_0_3003_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_3003]) ).
cnf(c_0_3003_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_3003]) ).
cnf(c_0_3003_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_3003]) ).
cnf(c_0_3004_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_3004]) ).
cnf(c_0_3004_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_3004]) ).
cnf(c_0_3004_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_3004]) ).
cnf(c_0_3004_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_3004]) ).
cnf(c_0_3005_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_3005]) ).
cnf(c_0_3005_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_3005]) ).
cnf(c_0_3005_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_3005]) ).
cnf(c_0_3005_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_3005]) ).
cnf(c_0_3006_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_3006]) ).
cnf(c_0_3006_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_3006]) ).
cnf(c_0_3006_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_3006]) ).
cnf(c_0_3006_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_3006]) ).
cnf(c_0_3007_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_3007]) ).
cnf(c_0_3007_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_3007]) ).
cnf(c_0_3007_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_3007]) ).
cnf(c_0_3007_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_3007]) ).
cnf(c_0_3008_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_3008]) ).
cnf(c_0_3008_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_3008]) ).
cnf(c_0_3008_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_3008]) ).
cnf(c_0_3008_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_3008]) ).
cnf(c_0_3009_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_3009]) ).
cnf(c_0_3009_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_3009]) ).
cnf(c_0_3009_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_3009]) ).
cnf(c_0_3009_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_3009]) ).
cnf(c_0_3010_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_3010]) ).
cnf(c_0_3010_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_3010]) ).
cnf(c_0_3010_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_3010]) ).
cnf(c_0_3010_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_3010]) ).
cnf(c_0_3011_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_3011]) ).
cnf(c_0_3011_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_3011]) ).
cnf(c_0_3012_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_3012]) ).
cnf(c_0_3012_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_3012]) ).
cnf(c_0_3013_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,tc_Polynomial_Opoly(X3)),X3)
| ~ class_OrderedGroup_Ocomm__monoid__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3013]) ).
cnf(c_0_3013_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X3)
| c_HOL_Oplus__class_Oplus(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_OpCons(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X5,tc_Polynomial_Opoly(X3)),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3013]) ).
cnf(c_0_3014_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_3014]) ).
cnf(c_0_3014_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_3014]) ).
cnf(c_0_3014_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_3014]) ).
cnf(c_0_3015_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_3015]) ).
cnf(c_0_3015_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_3015]) ).
cnf(c_0_3015_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_3015]) ).
cnf(c_0_3016_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_3016]) ).
cnf(c_0_3016_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_3016]) ).
cnf(c_0_3016_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_3016]) ).
cnf(c_0_3017_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_3017]) ).
cnf(c_0_3017_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_3017]) ).
cnf(c_0_3017_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_3017]) ).
cnf(c_0_3017_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_3017]) ).
cnf(c_0_3018_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_3018]) ).
cnf(c_0_3018_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_3018]) ).
cnf(c_0_3018_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_3018]) ).
cnf(c_0_3018_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_3018]) ).
cnf(c_0_3019_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_3019]) ).
cnf(c_0_3019_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_3019]) ).
cnf(c_0_3019_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_3019]) ).
cnf(c_0_3020_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_3020]) ).
cnf(c_0_3020_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_3020]) ).
cnf(c_0_3020_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_3020]) ).
cnf(c_0_3021_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_3021]) ).
cnf(c_0_3021_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_3021]) ).
cnf(c_0_3021_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_3021]) ).
cnf(c_0_3021_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_3021]) ).
cnf(c_0_3022_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_3022]) ).
cnf(c_0_3022_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_3022]) ).
cnf(c_0_3022_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_3022]) ).
cnf(c_0_3022_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_3022]) ).
cnf(c_0_3023_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_3023]) ).
cnf(c_0_3023_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_3023]) ).
cnf(c_0_3023_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_3023]) ).
cnf(c_0_3023_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_3023]) ).
cnf(c_0_3024_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_3024]) ).
cnf(c_0_3024_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_3024]) ).
cnf(c_0_3024_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_3024]) ).
cnf(c_0_3024_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_3024]) ).
cnf(c_0_3025_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_3025]) ).
cnf(c_0_3025_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_3025]) ).
cnf(c_0_3026_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_3026]) ).
cnf(c_0_3026_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_3026]) ).
cnf(c_0_3027_0,axiom,
( c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3)
| ~ class_OrderedGroup_Oab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3027]) ).
cnf(c_0_3027_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X3)
| c_HOL_Ominus__class_Ominus(c_HOL_Oplus__class_Oplus(X1,X2,X3),c_HOL_Oplus__class_Oplus(X4,X5,X3),X3) = c_HOL_Oplus__class_Oplus(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X5,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3027]) ).
cnf(c_0_3028_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X4,c_Polynomial_Opoly(X2,X4,X3),X3),X3) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3028]) ).
cnf(c_0_3028_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X3)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Otimes__class_Otimes(X4,c_Polynomial_Opoly(X2,X4,X3),X3),X3) = c_Polynomial_Opoly(c_Polynomial_OpCons(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3028]) ).
cnf(c_0_3029_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_3029]) ).
cnf(c_0_3029_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_3029]) ).
cnf(c_0_3029_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_3029]) ).
cnf(c_0_3029_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_3029]) ).
cnf(c_0_3030_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_3030]) ).
cnf(c_0_3030_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_3030]) ).
cnf(c_0_3030_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_3030]) ).
cnf(c_0_3030_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_3030]) ).
cnf(c_0_3031_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_3031]) ).
cnf(c_0_3031_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_3031]) ).
cnf(c_0_3031_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_3031]) ).
cnf(c_0_3031_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_3031]) ).
cnf(c_0_3031_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_3031]) ).
cnf(c_0_3032_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_3032]) ).
cnf(c_0_3032_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_3032]) ).
cnf(c_0_3033_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_3033]) ).
cnf(c_0_3033_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_3033]) ).
cnf(c_0_3034_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_3034]) ).
cnf(c_0_3034_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_3034]) ).
cnf(c_0_3035_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_3035]) ).
cnf(c_0_3035_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_3035]) ).
cnf(c_0_3036_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_3036]) ).
cnf(c_0_3036_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_3036]) ).
cnf(c_0_3036_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_3036]) ).
cnf(c_0_3036_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_3036]) ).
cnf(c_0_3037_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_3037]) ).
cnf(c_0_3037_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_3037]) ).
cnf(c_0_3038_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_3038]) ).
cnf(c_0_3038_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_3038]) ).
cnf(c_0_3039_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_3039]) ).
cnf(c_0_3039_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_3039]) ).
cnf(c_0_3040_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_3040]) ).
cnf(c_0_3040_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_3040]) ).
cnf(c_0_3041_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_3041]) ).
cnf(c_0_3041_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_3041]) ).
cnf(c_0_3042_0,axiom,
( c_HOL_Oeq__class_Oeq(X2,X5,tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3042]) ).
cnf(c_0_3042_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X2,X5,tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3042]) ).
cnf(c_0_3042_2,axiom,
( ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X2,X5,tc_Polynomial_Opoly(X3))
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3042]) ).
cnf(c_0_3042_3,axiom,
( ~ class_HOL_Ozero(X3)
| ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X2,X5,tc_Polynomial_Opoly(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3042]) ).
cnf(c_0_3043_0,axiom,
( c_HOL_Oeq__class_Oeq(X1,X4,X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3043]) ).
cnf(c_0_3043_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X1,X4,X3)
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3043]) ).
cnf(c_0_3043_2,axiom,
( ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X1,X4,X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3043]) ).
cnf(c_0_3043_3,axiom,
( ~ class_HOL_Ozero(X3)
| ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X4,X5,X3),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3043]) ).
cnf(c_0_3044_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_3044]) ).
cnf(c_0_3044_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_3044]) ).
cnf(c_0_3044_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_3044]) ).
cnf(c_0_3045_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_3045]) ).
cnf(c_0_3045_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_3045]) ).
cnf(c_0_3045_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_3045]) ).
cnf(c_0_3046_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_3046]) ).
cnf(c_0_3046_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_3046]) ).
cnf(c_0_3046_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_3046]) ).
cnf(c_0_3047_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_3047]) ).
cnf(c_0_3047_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_3047]) ).
cnf(c_0_3047_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_3047]) ).
cnf(c_0_3048_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_3048]) ).
cnf(c_0_3048_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_3048]) ).
cnf(c_0_3048_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_3048]) ).
cnf(c_0_3049_0,axiom,
( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X4,X3),c_Polynomial_OpCons(X2,X5,X3),tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| ~ c_HOL_Oeq__class_Oeq(X4,X5,tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3049]) ).
cnf(c_0_3049_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X4,X3),c_Polynomial_OpCons(X2,X5,X3),tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(X4,X5,tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3049]) ).
cnf(c_0_3049_2,axiom,
( ~ c_HOL_Oeq__class_Oeq(X4,X5,tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X4,X3),c_Polynomial_OpCons(X2,X5,X3),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3049]) ).
cnf(c_0_3049_3,axiom,
( ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(X4,X5,tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X4,X3),c_Polynomial_OpCons(X2,X5,X3),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3049]) ).
cnf(c_0_3049_4,axiom,
( ~ class_HOL_Ozero(X3)
| ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(X4,X5,tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X4,X3),c_Polynomial_OpCons(X2,X5,X3),tc_Polynomial_Opoly(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3049]) ).
cnf(c_0_3050_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_3050]) ).
cnf(c_0_3050_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_3050]) ).
cnf(c_0_3050_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_3050]) ).
cnf(c_0_3050_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_3050]) ).
cnf(c_0_3051_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X3,X1,X2),c_Polynomial_OpCons(X4,X1,X2),tc_Polynomial_Opoly(X2)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3051]) ).
cnf(c_0_3051_1,axiom,
( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X3,X1,X2),c_Polynomial_OpCons(X4,X1,X2),tc_Polynomial_Opoly(X2)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3051]) ).
cnf(c_0_3051_2,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X2)
| c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X3,X1,X2),c_Polynomial_OpCons(X4,X1,X2),tc_Polynomial_Opoly(X2)) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3051]) ).
cnf(c_0_3052_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_3052]) ).
cnf(c_0_3052_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_3052]) ).
cnf(c_0_3052_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_3052]) ).
cnf(c_0_3052_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_3052]) ).
cnf(c_0_3053_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_3053]) ).
cnf(c_0_3053_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_3053]) ).
cnf(c_0_3053_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_3053]) ).
cnf(c_0_3053_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_3053]) ).
cnf(c_0_3054_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_3054]) ).
cnf(c_0_3054_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_3054]) ).
cnf(c_0_3054_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_3054]) ).
cnf(c_0_3054_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_3054]) ).
cnf(c_0_3055_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_3055]) ).
cnf(c_0_3055_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_3055]) ).
cnf(c_0_3055_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_3055]) ).
cnf(c_0_3055_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_3055]) ).
cnf(c_0_3056_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_3056]) ).
cnf(c_0_3056_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_3056]) ).
cnf(c_0_3056_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_3056]) ).
cnf(c_0_3056_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_3056]) ).
cnf(c_0_3057_0,axiom,
( c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3057]) ).
cnf(c_0_3057_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3057]) ).
cnf(c_0_3057_2,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Oordered__semidom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3057]) ).
cnf(c_0_3057_3,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X3)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3057]) ).
cnf(c_0_3058_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_3058]) ).
cnf(c_0_3058_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_3058]) ).
cnf(c_0_3058_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_3058]) ).
cnf(c_0_3058_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_3058]) ).
cnf(c_0_3059_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_3059]) ).
cnf(c_0_3059_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_3059]) ).
cnf(c_0_3059_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_3059]) ).
cnf(c_0_3059_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_3059]) ).
cnf(c_0_3060_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_3060]) ).
cnf(c_0_3060_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_3060]) ).
cnf(c_0_3060_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_3060]) ).
cnf(c_0_3060_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_3060]) ).
cnf(c_0_3061_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_3061]) ).
cnf(c_0_3061_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_3061]) ).
cnf(c_0_3061_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_3061]) ).
cnf(c_0_3061_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_3061]) ).
cnf(c_0_3062_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_3062]) ).
cnf(c_0_3062_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_3062]) ).
cnf(c_0_3062_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_3062]) ).
cnf(c_0_3062_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_3062]) ).
cnf(c_0_3063_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_3063]) ).
cnf(c_0_3063_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_3063]) ).
cnf(c_0_3063_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_3063]) ).
cnf(c_0_3063_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_3063]) ).
cnf(c_0_3064_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_3064]) ).
cnf(c_0_3064_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_3064]) ).
cnf(c_0_3064_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_3064]) ).
cnf(c_0_3064_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_3064]) ).
cnf(c_0_3065_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_3065]) ).
cnf(c_0_3065_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_3065]) ).
cnf(c_0_3065_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_3065]) ).
cnf(c_0_3065_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_3065]) ).
cnf(c_0_3066_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_3066]) ).
cnf(c_0_3066_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_3066]) ).
cnf(c_0_3066_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_3066]) ).
cnf(c_0_3066_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_3066]) ).
cnf(c_0_3067_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_3067]) ).
cnf(c_0_3067_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_3067]) ).
cnf(c_0_3067_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_3067]) ).
cnf(c_0_3067_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_3067]) ).
cnf(c_0_3068_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_3068]) ).
cnf(c_0_3068_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_3068]) ).
cnf(c_0_3068_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_3068]) ).
cnf(c_0_3068_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_3068]) ).
cnf(c_0_3069_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_3069]) ).
cnf(c_0_3069_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_3069]) ).
cnf(c_0_3069_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_3069]) ).
cnf(c_0_3069_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_3069]) ).
cnf(c_0_3070_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_3070]) ).
cnf(c_0_3070_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_3070]) ).
cnf(c_0_3070_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_3070]) ).
cnf(c_0_3070_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_3070]) ).
cnf(c_0_3071_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X1,X2,X3),X3),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X1,X3),X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__algebra__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3071]) ).
cnf(c_0_3071_1,axiom,
( ~ class_RealVector_Oreal__normed__algebra__1(X3)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X1,X2,X3),X3),c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X1,X3),X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3071]) ).
cnf(c_0_3072_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),tc_Polynomial_Opoly(X4)) = c_Polynomial_Osmult(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X4)),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3072]) ).
cnf(c_0_3072_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X4)
| c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),tc_Polynomial_Opoly(X4)) = c_Polynomial_Osmult(X1,c_HOL_Oplus__class_Oplus(X2,X3,tc_Polynomial_Opoly(X4)),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3072]) ).
cnf(c_0_3073_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X1,X4,X3),c_Polynomial_Opoly(X2,X4,X3),X3) = c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X3)),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3073]) ).
cnf(c_0_3073_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X3)
| c_HOL_Oplus__class_Oplus(c_Polynomial_Opoly(X1,X4,X3),c_Polynomial_Opoly(X2,X4,X3),X3) = c_Polynomial_Opoly(c_HOL_Oplus__class_Oplus(X1,X2,tc_Polynomial_Opoly(X3)),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3073]) ).
cnf(c_0_3074_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_3074]) ).
cnf(c_0_3074_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_3074]) ).
cnf(c_0_3074_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_3074]) ).
cnf(c_0_3074_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_3074]) ).
cnf(c_0_3075_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_3075]) ).
cnf(c_0_3075_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_3075]) ).
cnf(c_0_3075_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_3075]) ).
cnf(c_0_3075_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_3075]) ).
cnf(c_0_3076_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_3076]) ).
cnf(c_0_3076_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_3076]) ).
cnf(c_0_3076_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_3076]) ).
cnf(c_0_3076_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_3076]) ).
cnf(c_0_3077_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_3077]) ).
cnf(c_0_3077_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_3077]) ).
cnf(c_0_3077_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_3077]) ).
cnf(c_0_3077_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_3077]) ).
cnf(c_0_3078_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_3078]) ).
cnf(c_0_3078_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_3078]) ).
cnf(c_0_3078_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_3078]) ).
cnf(c_0_3079_0,axiom,
( c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X4,X3),c_Polynomial_Osmult(X2,X4,X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3079]) ).
cnf(c_0_3079_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X3)
| c_HOL_Oplus__class_Oplus(c_Polynomial_Osmult(X1,X4,X3),c_Polynomial_Osmult(X2,X4,X3),tc_Polynomial_Opoly(X3)) = c_Polynomial_Osmult(c_HOL_Oplus__class_Oplus(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3079]) ).
cnf(c_0_3080_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_3080]) ).
cnf(c_0_3080_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_3080]) ).
cnf(c_0_3080_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_3080]) ).
cnf(c_0_3081_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_3081]) ).
cnf(c_0_3081_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_3081]) ).
cnf(c_0_3081_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_3081]) ).
cnf(c_0_3082_0,axiom,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),c_Orderings_Oord__class_Omin(X2,X4,X3),X3) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3082]) ).
cnf(c_0_3082_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X4,X3),c_Orderings_Oord__class_Omin(X2,X4,X3),X3) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3082]) ).
cnf(c_0_3083_0,axiom,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X4),c_Orderings_Oord__class_Omin(X1,X3,X4),X4) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3083]) ).
cnf(c_0_3083_1,axiom,
( ~ class_Orderings_Olinorder(X4)
| c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X4),c_Orderings_Oord__class_Omin(X1,X3,X4),X4) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3083]) ).
cnf(c_0_3084_0,axiom,
( c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),X4) = c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3084]) ).
cnf(c_0_3084_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X4)
| c_Polynomial_OpCons(c_HOL_Otimes__class_Otimes(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4),X4) = c_Polynomial_Osmult(X1,c_Polynomial_OpCons(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3084]) ).
cnf(c_0_3085_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3085]) ).
cnf(c_0_3085_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3085]) ).
cnf(c_0_3086_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Ocomm__monoid__mult(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3086]) ).
cnf(c_0_3086_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__mult(X3)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X4,X3),c_Power_Opower__class_Opower(X2,X4,X3),X3) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3086]) ).
cnf(c_0_3087_0,axiom,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3087]) ).
cnf(c_0_3087_1,axiom,
( ~ class_Orderings_Olinorder(X4)
| c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X4),c_Orderings_Oord__class_Omax(X1,X3,X4),X4) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3087]) ).
cnf(c_0_3088_0,axiom,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),c_Orderings_Oord__class_Omax(X2,X4,X3),X3) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3088]) ).
cnf(c_0_3088_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X4,X3),c_Orderings_Oord__class_Omax(X2,X4,X3),X3) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3088]) ).
cnf(c_0_3089_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_3089]) ).
cnf(c_0_3089_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_3089]) ).
cnf(c_0_3090_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_3090]) ).
cnf(c_0_3090_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_3090]) ).
cnf(c_0_3091_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_3091]) ).
cnf(c_0_3091_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_3091]) ).
cnf(c_0_3092_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_3092]) ).
cnf(c_0_3092_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_3092]) ).
cnf(c_0_3093_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_3093]) ).
cnf(c_0_3093_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_3093]) ).
cnf(c_0_3094_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_3094]) ).
cnf(c_0_3094_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_3094]) ).
cnf(c_0_3095_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_3095]) ).
cnf(c_0_3095_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_3095]) ).
cnf(c_0_3096_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_3096]) ).
cnf(c_0_3096_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_3096]) ).
cnf(c_0_3097_0,axiom,
( c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3097]) ).
cnf(c_0_3097_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_Orderings_Oord__class_Omax(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3097]) ).
cnf(c_0_3098_0,axiom,
( c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3098]) ).
cnf(c_0_3098_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X3)
| c_Orderings_Oord__class_Omin(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3098]) ).
cnf(c_0_3099_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_3099]) ).
cnf(c_0_3099_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_3099]) ).
cnf(c_0_3100_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_3100]) ).
cnf(c_0_3100_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_3100]) ).
cnf(c_0_3101_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_3101]) ).
cnf(c_0_3101_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_3101]) ).
cnf(c_0_3102_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_3102]) ).
cnf(c_0_3102_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_3102]) ).
cnf(c_0_3103_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3103]) ).
cnf(c_0_3103_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3103]) ).
cnf(c_0_3104_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_OrderedGroup_Olordered__ab__group__add(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3104]) ).
cnf(c_0_3104_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X4)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3104]) ).
cnf(c_0_3105_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3105]) ).
cnf(c_0_3105_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X4)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X2,X4),c_HOL_Oplus__class_Oplus(X1,X3,X4),X4) = c_HOL_Oplus__class_Oplus(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3105]) ).
cnf(c_0_3106_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3106]) ).
cnf(c_0_3106_1,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add__meet(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Oplus__class_Oplus(X1,X4,X3),c_HOL_Oplus__class_Oplus(X2,X4,X3),X3) = c_HOL_Oplus__class_Oplus(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3106]) ).
cnf(c_0_3107_0,axiom,
( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3107]) ).
cnf(c_0_3107_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3107]) ).
cnf(c_0_3108_0,axiom,
( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3108]) ).
cnf(c_0_3108_1,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
| c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X4,X3),c_HOL_Ominus__class_Ominus(X2,X4,X3),X3) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3108]) ).
cnf(c_0_3109_0,axiom,
( c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X3),X4,X3) = c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X4,X3),c_Polynomial_Osynthetic__div(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3109]) ).
cnf(c_0_3109_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X3)
| c_Polynomial_Osynthetic__div(c_Polynomial_OpCons(X1,X2,X3),X4,X3) = c_Polynomial_OpCons(c_Polynomial_Opoly(X2,X4,X3),c_Polynomial_Osynthetic__div(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3109]) ).
cnf(c_0_3110_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_3110]) ).
cnf(c_0_3110_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_3110]) ).
cnf(c_0_3110_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_3110]) ).
cnf(c_0_3111_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_3111]) ).
cnf(c_0_3111_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_3111]) ).
cnf(c_0_3111_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_3111]) ).
cnf(c_0_3112_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_3112]) ).
cnf(c_0_3112_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_3112]) ).
cnf(c_0_3112_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_3112]) ).
cnf(c_0_3113_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_3113]) ).
cnf(c_0_3113_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_3113]) ).
cnf(c_0_3113_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_3113]) ).
cnf(c_0_3114_0,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X3,X2),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3114]) ).
cnf(c_0_3114_1,axiom,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),X2,tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(X3,X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__bound__exists__1(X3,X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3114]) ).
cnf(c_0_3115_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_3115]) ).
cnf(c_0_3115_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_3115]) ).
cnf(c_0_3115_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_3115]) ).
cnf(c_0_3115_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_3115]) ).
cnf(c_0_3116_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_3116]) ).
cnf(c_0_3116_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_3116]) ).
cnf(c_0_3116_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_3116]) ).
cnf(c_0_3116_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_3116]) ).
cnf(c_0_3117_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_3117]) ).
cnf(c_0_3117_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_3117]) ).
cnf(c_0_3117_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_3117]) ).
cnf(c_0_3117_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_3117]) ).
cnf(c_0_3118_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_3118]) ).
cnf(c_0_3118_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_3118]) ).
cnf(c_0_3118_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_3118]) ).
cnf(c_0_3118_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_3118]) ).
cnf(c_0_3119_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_3119]) ).
cnf(c_0_3119_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_3119]) ).
cnf(c_0_3119_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_3119]) ).
cnf(c_0_3119_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_3119]) ).
cnf(c_0_3120_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_3120]) ).
cnf(c_0_3120_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_3120]) ).
cnf(c_0_3120_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_3120]) ).
cnf(c_0_3120_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_3120]) ).
cnf(c_0_3121_0,axiom,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3121]) ).
cnf(c_0_3121_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3121]) ).
cnf(c_0_3121_2,axiom,
( ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3121]) ).
cnf(c_0_3121_3,axiom,
( ~ class_HOL_Oeq(X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3121]) ).
cnf(c_0_3121_4,axiom,
( ~ class_HOL_Ozero(X1)
| ~ class_HOL_Oeq(X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3121]) ).
cnf(c_0_3122_0,axiom,
( c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X3,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| ~ c_HOL_Oeq__class_Oeq(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ class_HOL_Oeq(X2)
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3122]) ).
cnf(c_0_3122_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X3,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ c_HOL_Oeq__class_Oeq(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ class_HOL_Oeq(X2)
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3122]) ).
cnf(c_0_3122_2,axiom,
( ~ c_HOL_Oeq__class_Oeq(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X3,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ class_HOL_Oeq(X2)
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3122]) ).
cnf(c_0_3122_3,axiom,
( ~ class_HOL_Oeq(X2)
| ~ c_HOL_Oeq__class_Oeq(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X3,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3122]) ).
cnf(c_0_3122_4,axiom,
( ~ class_HOL_Ozero(X2)
| ~ class_HOL_Oeq(X2)
| ~ c_HOL_Oeq__class_Oeq(X3,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2))
| ~ c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X3,X2),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3122]) ).
cnf(c_0_3123_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_3123]) ).
cnf(c_0_3123_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_3123]) ).
cnf(c_0_3124_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_3124]) ).
cnf(c_0_3124_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_3124]) ).
cnf(c_0_3125_0,axiom,
( X1 = c_Polynomial_Osynthetic__div(X2,X3,X4)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X1,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X5,X1,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3125]) ).
cnf(c_0_3125_1,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X1,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X5,X1,X4)
| X1 = c_Polynomial_Osynthetic__div(X2,X3,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3125]) ).
cnf(c_0_3125_2,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X4)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X1,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X5,X1,X4)
| X1 = c_Polynomial_Osynthetic__div(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3125]) ).
cnf(c_0_3126_0,axiom,
( X1 = c_Polynomial_Opoly(X2,X3,X4)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X5,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X1,X5,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3126]) ).
cnf(c_0_3126_1,axiom,
( c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X5,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X1,X5,X4)
| X1 = c_Polynomial_Opoly(X2,X3,X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3126]) ).
cnf(c_0_3126_2,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X4)
| c_HOL_Oplus__class_Oplus(X2,c_Polynomial_Osmult(X3,X5,X4),tc_Polynomial_Opoly(X4)) != c_Polynomial_OpCons(X1,X5,X4)
| X1 = c_Polynomial_Opoly(X2,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3126]) ).
cnf(c_0_3127_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_3127]) ).
cnf(c_0_3127_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_3127]) ).
cnf(c_0_3127_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_3127]) ).
cnf(c_0_3128_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_3128]) ).
cnf(c_0_3128_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_3128]) ).
cnf(c_0_3128_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_3128]) ).
cnf(c_0_3128_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_3128]) ).
cnf(c_0_3129_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_3129]) ).
cnf(c_0_3129_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_3129]) ).
cnf(c_0_3129_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_3129]) ).
cnf(c_0_3129_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_3129]) ).
cnf(c_0_3130_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_3130]) ).
cnf(c_0_3130_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_3130]) ).
cnf(c_0_3130_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_3130]) ).
cnf(c_0_3130_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_3130]) ).
cnf(c_0_3131_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_3131]) ).
cnf(c_0_3131_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_3131]) ).
cnf(c_0_3131_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_3131]) ).
cnf(c_0_3131_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_3131]) ).
cnf(c_0_3132_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_3132]) ).
cnf(c_0_3132_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_3132]) ).
cnf(c_0_3132_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_3132]) ).
cnf(c_0_3132_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_3132]) ).
cnf(c_0_3133_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_3133]) ).
cnf(c_0_3133_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_3133]) ).
cnf(c_0_3133_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_3133]) ).
cnf(c_0_3133_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_3133]) ).
cnf(c_0_3134_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_3134]) ).
cnf(c_0_3134_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_3134]) ).
cnf(c_0_3134_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_3134]) ).
cnf(c_0_3134_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_3134]) ).
cnf(c_0_3135_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_3135]) ).
cnf(c_0_3135_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_3135]) ).
cnf(c_0_3135_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_3135]) ).
cnf(c_0_3135_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_3135]) ).
cnf(c_0_3136_0,axiom,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3136]) ).
cnf(c_0_3136_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3136]) ).
cnf(c_0_3136_2,axiom,
( ~ class_HOL_Oeq(X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3136]) ).
cnf(c_0_3136_3,axiom,
( ~ class_HOL_Ozero(X1)
| ~ class_HOL_Oeq(X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X3,tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3136]) ).
cnf(c_0_3137_0,axiom,
( c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3137]) ).
cnf(c_0_3137_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3137]) ).
cnf(c_0_3137_2,axiom,
( ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3137]) ).
cnf(c_0_3137_3,axiom,
( ~ class_HOL_Ozero(X3)
| ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3)) ),
inference(literals_permutation,[status(thm)],[c_0_3137]) ).
cnf(c_0_3138_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_3138]) ).
cnf(c_0_3138_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_3138]) ).
cnf(c_0_3139_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X4)
| c_HOL_Oord__class_Oless(X1,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3139]) ).
cnf(c_0_3139_1,axiom,
( c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X1,X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3139]) ).
cnf(c_0_3139_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3139]) ).
cnf(c_0_3139_3,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,X3,X4)
| c_HOL_Oord__class_Oless(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3139]) ).
cnf(c_0_3140_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3140]) ).
cnf(c_0_3140_1,axiom,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3140]) ).
cnf(c_0_3140_2,axiom,
( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3140]) ).
cnf(c_0_3140_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3140]) ).
cnf(c_0_3141_0,axiom,
( c_lessequals(X1,X4,X3)
| c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3141]) ).
cnf(c_0_3141_1,axiom,
( c_lessequals(X2,X4,X3)
| c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3141]) ).
cnf(c_0_3141_2,axiom,
( ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3141]) ).
cnf(c_0_3141_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3141]) ).
cnf(c_0_3142_0,axiom,
( c_lessequals(X1,X2,X4)
| c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3142]) ).
cnf(c_0_3142_1,axiom,
( c_lessequals(X1,X3,X4)
| c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3142]) ).
cnf(c_0_3142_2,axiom,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4)
| c_lessequals(X1,X2,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3142]) ).
cnf(c_0_3142_3,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4)
| c_lessequals(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3142]) ).
cnf(c_0_3143_0,axiom,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3143]) ).
cnf(c_0_3143_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3143]) ).
cnf(c_0_3143_2,axiom,
( ~ class_HOL_Oeq(X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3143]) ).
cnf(c_0_3143_3,axiom,
( ~ class_HOL_Ozero(X1)
| ~ class_HOL_Oeq(X1)
| ~ c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X2,X3,X1),tc_Polynomial_Opoly(X1))
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3143]) ).
cnf(c_0_3144_0,axiom,
( c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3144]) ).
cnf(c_0_3144_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3144]) ).
cnf(c_0_3144_2,axiom,
( ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3144]) ).
cnf(c_0_3144_3,axiom,
( ~ class_HOL_Ozero(X3)
| ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(c_Polynomial_OpCons(X1,X2,X3),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),tc_Polynomial_Opoly(X3))
| c_HOL_Oeq__class_Oeq(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3144]) ).
cnf(c_0_3145_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_3145]) ).
cnf(c_0_3145_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_3145]) ).
cnf(c_0_3145_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_3145]) ).
cnf(c_0_3145_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_3145]) ).
cnf(c_0_3146_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_3146]) ).
cnf(c_0_3146_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_3146]) ).
cnf(c_0_3146_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_3146]) ).
cnf(c_0_3146_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_3146]) ).
cnf(c_0_3147_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_3147]) ).
cnf(c_0_3147_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_3147]) ).
cnf(c_0_3147_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_3147]) ).
cnf(c_0_3147_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_3147]) ).
cnf(c_0_3148_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_3148]) ).
cnf(c_0_3148_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_3148]) ).
cnf(c_0_3148_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_3148]) ).
cnf(c_0_3148_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_3148]) ).
cnf(c_0_3149_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_3149]) ).
cnf(c_0_3149_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_3149]) ).
cnf(c_0_3149_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_3149]) ).
cnf(c_0_3149_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_3149]) ).
cnf(c_0_3150_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_3150]) ).
cnf(c_0_3150_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_3150]) ).
cnf(c_0_3150_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_3150]) ).
cnf(c_0_3150_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_3150]) ).
cnf(c_0_3151_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_3151]) ).
cnf(c_0_3151_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_3151]) ).
cnf(c_0_3151_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_3151]) ).
cnf(c_0_3151_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_3151]) ).
cnf(c_0_3152_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_3152]) ).
cnf(c_0_3152_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_3152]) ).
cnf(c_0_3152_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_3152]) ).
cnf(c_0_3152_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_3152]) ).
cnf(c_0_3153_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_3153]) ).
cnf(c_0_3153_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_3153]) ).
cnf(c_0_3153_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_3153]) ).
cnf(c_0_3153_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_3153]) ).
cnf(c_0_3154_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_3154]) ).
cnf(c_0_3154_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_3154]) ).
cnf(c_0_3154_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_3154]) ).
cnf(c_0_3154_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_3154]) ).
cnf(c_0_3155_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_3155]) ).
cnf(c_0_3155_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_3155]) ).
cnf(c_0_3155_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_3155]) ).
cnf(c_0_3155_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_3155]) ).
cnf(c_0_3156_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_3156]) ).
cnf(c_0_3156_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_3156]) ).
cnf(c_0_3156_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_3156]) ).
cnf(c_0_3156_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_3156]) ).
cnf(c_0_3157_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_3157]) ).
cnf(c_0_3157_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_3157]) ).
cnf(c_0_3157_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_3157]) ).
cnf(c_0_3157_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_3157]) ).
cnf(c_0_3158_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_3158]) ).
cnf(c_0_3158_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_3158]) ).
cnf(c_0_3158_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_3158]) ).
cnf(c_0_3158_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_3158]) ).
cnf(c_0_3159_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_3159]) ).
cnf(c_0_3159_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_3159]) ).
cnf(c_0_3159_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_3159]) ).
cnf(c_0_3159_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_3159]) ).
cnf(c_0_3160_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_3160]) ).
cnf(c_0_3160_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_3160]) ).
cnf(c_0_3160_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_3160]) ).
cnf(c_0_3160_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_3160]) ).
cnf(c_0_3161_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_3161]) ).
cnf(c_0_3161_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_3161]) ).
cnf(c_0_3161_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_3161]) ).
cnf(c_0_3161_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_3161]) ).
cnf(c_0_3162_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_3162]) ).
cnf(c_0_3162_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_3162]) ).
cnf(c_0_3162_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_3162]) ).
cnf(c_0_3162_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_3162]) ).
cnf(c_0_3163_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_3163]) ).
cnf(c_0_3163_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_3163]) ).
cnf(c_0_3163_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_3163]) ).
cnf(c_0_3163_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_3163]) ).
cnf(c_0_3164_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_3164]) ).
cnf(c_0_3164_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_3164]) ).
cnf(c_0_3164_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_3164]) ).
cnf(c_0_3164_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_3164]) ).
cnf(c_0_3165_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_3165]) ).
cnf(c_0_3165_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_3165]) ).
cnf(c_0_3165_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_3165]) ).
cnf(c_0_3165_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_3165]) ).
cnf(c_0_3166_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_3166]) ).
cnf(c_0_3166_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_3166]) ).
cnf(c_0_3166_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_3166]) ).
cnf(c_0_3166_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_3166]) ).
cnf(c_0_3167_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_3167]) ).
cnf(c_0_3167_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_3167]) ).
cnf(c_0_3167_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_3167]) ).
cnf(c_0_3167_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_3167]) ).
cnf(c_0_3168_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_3168]) ).
cnf(c_0_3168_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_3168]) ).
cnf(c_0_3168_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_3168]) ).
cnf(c_0_3168_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_3168]) ).
cnf(c_0_3169_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_3169]) ).
cnf(c_0_3169_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_3169]) ).
cnf(c_0_3169_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_3169]) ).
cnf(c_0_3169_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_3169]) ).
cnf(c_0_3170_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_3170]) ).
cnf(c_0_3170_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_3170]) ).
cnf(c_0_3170_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_3170]) ).
cnf(c_0_3170_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_3170]) ).
cnf(c_0_3171_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_3171]) ).
cnf(c_0_3171_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_3171]) ).
cnf(c_0_3171_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_3171]) ).
cnf(c_0_3172_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_3172]) ).
cnf(c_0_3172_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_3172]) ).
cnf(c_0_3172_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_3172]) ).
cnf(c_0_3173_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_3173]) ).
cnf(c_0_3173_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_3173]) ).
cnf(c_0_3173_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_3173]) ).
cnf(c_0_3174_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_3174]) ).
cnf(c_0_3174_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_3174]) ).
cnf(c_0_3174_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_3174]) ).
cnf(c_0_3175_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_3175]) ).
cnf(c_0_3175_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_3175]) ).
cnf(c_0_3175_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_3175]) ).
cnf(c_0_3176_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_3176]) ).
cnf(c_0_3176_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_3176]) ).
cnf(c_0_3176_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_3176]) ).
cnf(c_0_3177_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_3177]) ).
cnf(c_0_3177_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_3177]) ).
cnf(c_0_3177_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_3177]) ).
cnf(c_0_3178_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_3178]) ).
cnf(c_0_3178_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_3178]) ).
cnf(c_0_3178_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_3178]) ).
cnf(c_0_3179_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_3179]) ).
cnf(c_0_3179_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_3179]) ).
cnf(c_0_3179_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_3179]) ).
cnf(c_0_3179_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_3179]) ).
cnf(c_0_3179_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_3179]) ).
cnf(c_0_3180_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_3180]) ).
cnf(c_0_3180_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_3180]) ).
cnf(c_0_3180_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_3180]) ).
cnf(c_0_3180_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_3180]) ).
cnf(c_0_3180_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_3180]) ).
cnf(c_0_3181_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_3181]) ).
cnf(c_0_3181_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_3181]) ).
cnf(c_0_3181_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_3181]) ).
cnf(c_0_3181_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_3181]) ).
cnf(c_0_3181_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_3181]) ).
cnf(c_0_3182_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_3182]) ).
cnf(c_0_3182_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_3182]) ).
cnf(c_0_3182_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_3182]) ).
cnf(c_0_3182_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_3182]) ).
cnf(c_0_3182_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_3182]) ).
cnf(c_0_3183_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_3183]) ).
cnf(c_0_3183_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_3183]) ).
cnf(c_0_3183_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_3183]) ).
cnf(c_0_3184_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_3184]) ).
cnf(c_0_3184_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_3184]) ).
cnf(c_0_3184_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_3184]) ).
cnf(c_0_3184_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_3184]) ).
cnf(c_0_3185_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_3185]) ).
cnf(c_0_3185_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_3185]) ).
cnf(c_0_3186_0,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3186]) ).
cnf(c_0_3186_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3186]) ).
cnf(c_0_3186_2,axiom,
( ~ c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3186]) ).
cnf(c_0_3186_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X4,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3186]) ).
cnf(c_0_3187_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3187]) ).
cnf(c_0_3187_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3187]) ).
cnf(c_0_3187_2,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3187]) ).
cnf(c_0_3187_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3187]) ).
cnf(c_0_3188_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3188]) ).
cnf(c_0_3188_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3188]) ).
cnf(c_0_3188_2,axiom,
( ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3188]) ).
cnf(c_0_3188_3,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3188]) ).
cnf(c_0_3189_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3189]) ).
cnf(c_0_3189_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3189]) ).
cnf(c_0_3189_2,axiom,
( ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3189]) ).
cnf(c_0_3189_3,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3189]) ).
cnf(c_0_3190_0,axiom,
( c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3190]) ).
cnf(c_0_3190_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3190]) ).
cnf(c_0_3190_2,axiom,
( ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3190]) ).
cnf(c_0_3190_3,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3190]) ).
cnf(c_0_3191_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3191]) ).
cnf(c_0_3191_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3191]) ).
cnf(c_0_3191_2,axiom,
( ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3191]) ).
cnf(c_0_3191_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3191]) ).
cnf(c_0_3192_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3192]) ).
cnf(c_0_3192_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3192]) ).
cnf(c_0_3192_2,axiom,
( ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3192]) ).
cnf(c_0_3192_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3192]) ).
cnf(c_0_3193_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3193]) ).
cnf(c_0_3193_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ c_lessequals(X4,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3193]) ).
cnf(c_0_3193_2,axiom,
( ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3193]) ).
cnf(c_0_3193_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X4,X2,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omax(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3193]) ).
cnf(c_0_3194_0,axiom,
( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3194]) ).
cnf(c_0_3194_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3194]) ).
cnf(c_0_3194_2,axiom,
( ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3194]) ).
cnf(c_0_3194_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3194]) ).
cnf(c_0_3195_0,axiom,
( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3195]) ).
cnf(c_0_3195_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3195]) ).
cnf(c_0_3195_2,axiom,
( ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3195]) ).
cnf(c_0_3195_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3195]) ).
cnf(c_0_3196_0,axiom,
( c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3196]) ).
cnf(c_0_3196_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3196]) ).
cnf(c_0_3196_2,axiom,
( ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3196]) ).
cnf(c_0_3196_3,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X4,X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3196]) ).
cnf(c_0_3197_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_3197]) ).
cnf(c_0_3197_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_3197]) ).
cnf(c_0_3198_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_3198]) ).
cnf(c_0_3198_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_3198]) ).
cnf(c_0_3198_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_3198]) ).
cnf(c_0_3199_0,axiom,
( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| X1 = c_HOL_Ozero__class_Ozero(X3)
| ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3199]) ).
cnf(c_0_3199_1,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3199]) ).
cnf(c_0_3199_2,axiom,
( ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| X1 = c_HOL_Ozero__class_Ozero(X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3199]) ).
cnf(c_0_3199_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_lessequals(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| X1 = c_HOL_Ozero__class_Ozero(X3)
| c_lessequals(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3199]) ).
cnf(c_0_3200_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_3200]) ).
cnf(c_0_3200_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_3200]) ).
cnf(c_0_3200_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_3200]) ).
cnf(c_0_3201_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_3201]) ).
cnf(c_0_3201_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_3201]) ).
cnf(c_0_3201_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_3201]) ).
cnf(c_0_3202_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_3202]) ).
cnf(c_0_3202_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_3202]) ).
cnf(c_0_3202_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_3202]) ).
cnf(c_0_3203_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3203]) ).
cnf(c_0_3203_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3203]) ).
cnf(c_0_3203_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X3),c_HOL_Ozero__class_Ozero(X3),X3)
| c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3203]) ).
cnf(c_0_3204_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_3204]) ).
cnf(c_0_3204_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_3204]) ).
cnf(c_0_3204_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_3204]) ).
cnf(c_0_3205_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_3205]) ).
cnf(c_0_3205_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_3205]) ).
cnf(c_0_3205_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_3205]) ).
cnf(c_0_3206_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3206]) ).
cnf(c_0_3206_1,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3206]) ).
cnf(c_0_3207_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3207]) ).
cnf(c_0_3207_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3207]) ).
cnf(c_0_3208_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4)
| ~ class_Lattices_Olattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3208]) ).
cnf(c_0_3208_1,axiom,
( ~ class_Lattices_Olattice(X4)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4) = c_Lattices_Olower__semilattice__class_Oinf(X2,c_Lattices_Olower__semilattice__class_Oinf(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3208]) ).
cnf(c_0_3209_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3209]) ).
cnf(c_0_3209_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X4,X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3209]) ).
cnf(c_0_3210_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_3210]) ).
cnf(c_0_3210_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_3210]) ).
cnf(c_0_3211_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_3211]) ).
cnf(c_0_3211_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_3211]) ).
cnf(c_0_3212_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_3212]) ).
cnf(c_0_3212_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_3212]) ).
cnf(c_0_3213_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_3213]) ).
cnf(c_0_3213_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_3213]) ).
cnf(c_0_3214_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_3214]) ).
cnf(c_0_3214_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_3214]) ).
cnf(c_0_3215_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_3215]) ).
cnf(c_0_3215_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_3215]) ).
cnf(c_0_3216_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_3216]) ).
cnf(c_0_3216_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_3216]) ).
cnf(c_0_3217_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_3217]) ).
cnf(c_0_3217_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_3217]) ).
cnf(c_0_3218_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_3218]) ).
cnf(c_0_3218_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_3218]) ).
cnf(c_0_3219_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_3219]) ).
cnf(c_0_3219_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_3219]) ).
cnf(c_0_3220_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_3220]) ).
cnf(c_0_3220_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_3220]) ).
cnf(c_0_3221_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_3221]) ).
cnf(c_0_3221_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_3221]) ).
cnf(c_0_3222_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_3222]) ).
cnf(c_0_3222_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_3222]) ).
cnf(c_0_3223_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_3223]) ).
cnf(c_0_3223_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_3223]) ).
cnf(c_0_3224_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_3224]) ).
cnf(c_0_3224_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_3224]) ).
cnf(c_0_3225_0,axiom,
( c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X4,X3),X3) = c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X3),X4,X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3225]) ).
cnf(c_0_3225_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X3)
| c_HOL_Otimes__class_Otimes(X1,c_Polynomial_Opoly(X2,X4,X3),X3) = c_Polynomial_Opoly(c_Polynomial_Osmult(X1,X2,X3),X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3225]) ).
cnf(c_0_3226_0,axiom,
( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3226]) ).
cnf(c_0_3226_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3226]) ).
cnf(c_0_3227_0,axiom,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3227]) ).
cnf(c_0_3227_1,axiom,
( ~ class_Orderings_Olinorder(X4)
| c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3227]) ).
cnf(c_0_3228_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3)
| ~ class_OrderedGroup_Omonoid__mult(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3228]) ).
cnf(c_0_3228_1,axiom,
( ~ class_OrderedGroup_Omonoid__mult(X3)
| c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X3),X1,X3) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3228]) ).
cnf(c_0_3229_0,axiom,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3229]) ).
cnf(c_0_3229_1,axiom,
( ~ class_Orderings_Olinorder(X4)
| c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X4),X4) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3229]) ).
cnf(c_0_3230_0,axiom,
( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3230]) ).
cnf(c_0_3230_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3230]) ).
cnf(c_0_3231_0,axiom,
( c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X4),X4)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3231]) ).
cnf(c_0_3231_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X4)
| c_Polynomial_Osmult(c_HOL_Otimes__class_Otimes(X1,X2,X4),X3,X4) = c_Polynomial_Osmult(X1,c_Polynomial_Osmult(X2,X3,X4),X4) ),
inference(literals_permutation,[status(thm)],[c_0_3231]) ).
cnf(c_0_3232_0,axiom,
( c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X3),X4,X3) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X4,X3),X3)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3232]) ).
cnf(c_0_3232_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X3)
| c_Polynomial_Opoly(c_Polynomial_Opcompose(X1,X2,X3),X4,X3) = c_Polynomial_Opoly(X1,c_Polynomial_Opoly(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3232]) ).
cnf(c_0_3233_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_3233]) ).
cnf(c_0_3233_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_3233]) ).
cnf(c_0_3234_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_3234]) ).
cnf(c_0_3234_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_3234]) ).
cnf(c_0_3235_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_3235]) ).
cnf(c_0_3235_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_3235]) ).
cnf(c_0_3236_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_3236]) ).
cnf(c_0_3236_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_3236]) ).
cnf(c_0_3237_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_3237]) ).
cnf(c_0_3237_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_3237]) ).
cnf(c_0_3238_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_3238]) ).
cnf(c_0_3238_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_3238]) ).
cnf(c_0_3238_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_3238]) ).
cnf(c_0_3239_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_3239]) ).
cnf(c_0_3239_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_3239]) ).
cnf(c_0_3239_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_3239]) ).
cnf(c_0_3240_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_3240]) ).
cnf(c_0_3240_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_3240]) ).
cnf(c_0_3240_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_3240]) ).
cnf(c_0_3240_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_3240]) ).
cnf(c_0_3241_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_3241]) ).
cnf(c_0_3241_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_3241]) ).
cnf(c_0_3241_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_3241]) ).
cnf(c_0_3241_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_3241]) ).
cnf(c_0_3242_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_3242]) ).
cnf(c_0_3242_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_3242]) ).
cnf(c_0_3242_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_3242]) ).
cnf(c_0_3242_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_3242]) ).
cnf(c_0_3243_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_3243]) ).
cnf(c_0_3243_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_3243]) ).
cnf(c_0_3243_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_3243]) ).
cnf(c_0_3243_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_3243]) ).
cnf(c_0_3244_0,axiom,
( c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3244]) ).
cnf(c_0_3244_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3244]) ).
cnf(c_0_3244_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3244]) ).
cnf(c_0_3245_0,axiom,
( c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3245]) ).
cnf(c_0_3245_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3245]) ).
cnf(c_0_3245_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_HOL_Oord__class_Oless(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3245]) ).
cnf(c_0_3246_0,axiom,
( c_HOL_Oord__class_Oless(X1,X3,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3246]) ).
cnf(c_0_3246_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,X3,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3246]) ).
cnf(c_0_3246_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3246]) ).
cnf(c_0_3247_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3247]) ).
cnf(c_0_3247_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,X2,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3247]) ).
cnf(c_0_3247_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_HOL_Oord__class_Oless(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3247]) ).
cnf(c_0_3248_0,axiom,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3248]) ).
cnf(c_0_3248_1,axiom,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3248]) ).
cnf(c_0_3248_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3248]) ).
cnf(c_0_3249_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3249]) ).
cnf(c_0_3249_1,axiom,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3249]) ).
cnf(c_0_3249_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3249]) ).
cnf(c_0_3250_0,axiom,
( c_lessequals(X2,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3250]) ).
cnf(c_0_3250_1,axiom,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3250]) ).
cnf(c_0_3250_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_lessequals(X2,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3250]) ).
cnf(c_0_3251_0,axiom,
( c_lessequals(X1,X4,X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3251]) ).
cnf(c_0_3251_1,axiom,
( ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3251]) ).
cnf(c_0_3251_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X3),X4,X3)
| c_lessequals(X1,X4,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3251]) ).
cnf(c_0_3252_0,axiom,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3252]) ).
cnf(c_0_3252_1,axiom,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3252]) ).
cnf(c_0_3252_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3252]) ).
cnf(c_0_3253_0,axiom,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3253]) ).
cnf(c_0_3253_1,axiom,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3253]) ).
cnf(c_0_3253_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3253]) ).
cnf(c_0_3254_0,axiom,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3254]) ).
cnf(c_0_3254_1,axiom,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3254]) ).
cnf(c_0_3254_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3254]) ).
cnf(c_0_3255_0,axiom,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3255]) ).
cnf(c_0_3255_1,axiom,
( ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4)
| ~ class_Orderings_Olinorder(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3255]) ).
cnf(c_0_3255_2,axiom,
( ~ class_Orderings_Olinorder(X4)
| ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3255]) ).
cnf(c_0_3256_0,axiom,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3256]) ).
cnf(c_0_3256_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3256]) ).
cnf(c_0_3256_2,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3256]) ).
cnf(c_0_3257_0,axiom,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3257]) ).
cnf(c_0_3257_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3257]) ).
cnf(c_0_3257_2,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3257]) ).
cnf(c_0_3258_0,axiom,
( c_lessequals(X1,X3,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3258]) ).
cnf(c_0_3258_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3258]) ).
cnf(c_0_3258_2,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X3,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3258]) ).
cnf(c_0_3259_0,axiom,
( c_lessequals(X1,X2,X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3259]) ).
cnf(c_0_3259_1,axiom,
( ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4)
| ~ class_Lattices_Olower__semilattice(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3259]) ).
cnf(c_0_3259_2,axiom,
( ~ class_Lattices_Olower__semilattice(X4)
| ~ c_lessequals(X1,c_Lattices_Olower__semilattice__class_Oinf(X2,X3,X4),X4)
| c_lessequals(X1,X2,X4) ),
inference(literals_permutation,[status(thm)],[c_0_3259]) ).
cnf(c_0_3260_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_3260]) ).
cnf(c_0_3260_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_3260]) ).
cnf(c_0_3261_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_3261]) ).
cnf(c_0_3261_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_3261]) ).
cnf(c_0_3261_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_3261]) ).
cnf(c_0_3262_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_3262]) ).
cnf(c_0_3262_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_3262]) ).
cnf(c_0_3262_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_3262]) ).
cnf(c_0_3263_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_3263]) ).
cnf(c_0_3263_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_3263]) ).
cnf(c_0_3263_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_3263]) ).
cnf(c_0_3263_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_3263]) ).
cnf(c_0_3264_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_3264]) ).
cnf(c_0_3264_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_3264]) ).
cnf(c_0_3264_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_3264]) ).
cnf(c_0_3264_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_3264]) ).
cnf(c_0_3265_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_3265]) ).
cnf(c_0_3265_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_3265]) ).
cnf(c_0_3265_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_3265]) ).
cnf(c_0_3265_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_3265]) ).
cnf(c_0_3266_0,axiom,
( c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3266]) ).
cnf(c_0_3266_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(c_HOL_Ouminus__class_Ouminus(X1,X2),X3,X2),X2) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3266]) ).
cnf(c_0_3267_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_3267]) ).
cnf(c_0_3267_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_3267]) ).
cnf(c_0_3267_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_3267]) ).
cnf(c_0_3267_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_3267]) ).
cnf(c_0_3267_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_3267]) ).
cnf(c_0_3268_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_3268]) ).
cnf(c_0_3268_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_3268]) ).
cnf(c_0_3268_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_3268]) ).
cnf(c_0_3268_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_3268]) ).
cnf(c_0_3268_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_3268]) ).
cnf(c_0_3269_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_3269]) ).
cnf(c_0_3269_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_3269]) ).
cnf(c_0_3270_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_3270]) ).
cnf(c_0_3270_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_3270]) ).
cnf(c_0_3270_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_3270]) ).
cnf(c_0_3270_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_3270]) ).
cnf(c_0_3271_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_3271]) ).
cnf(c_0_3271_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_3271]) ).
cnf(c_0_3272_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_3272]) ).
cnf(c_0_3272_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_3272]) ).
cnf(c_0_3273_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_3273]) ).
cnf(c_0_3273_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_3273]) ).
cnf(c_0_3273_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_3273]) ).
cnf(c_0_3274_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_3274]) ).
cnf(c_0_3274_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_3274]) ).
cnf(c_0_3275_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_3275]) ).
cnf(c_0_3275_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_3275]) ).
cnf(c_0_3276_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_3276]) ).
cnf(c_0_3276_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_3276]) ).
cnf(c_0_3276_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_3276]) ).
cnf(c_0_3277_0,axiom,
( c_Polynomial_Opos__poly(X2,X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3277]) ).
cnf(c_0_3277_1,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_Polynomial_Opos__poly(X2,X3)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3277]) ).
cnf(c_0_3277_2,axiom,
( ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_Polynomial_Opos__poly(X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3277]) ).
cnf(c_0_3277_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X1,X3)
| c_Polynomial_Opos__poly(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3277]) ).
cnf(c_0_3278_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_3278]) ).
cnf(c_0_3278_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_3278]) ).
cnf(c_0_3278_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_3278]) ).
cnf(c_0_3279_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_3279]) ).
cnf(c_0_3279_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_3279]) ).
cnf(c_0_3279_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_3279]) ).
cnf(c_0_3280_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_3280]) ).
cnf(c_0_3280_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_3280]) ).
cnf(c_0_3280_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_3280]) ).
cnf(c_0_3281_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_3281]) ).
cnf(c_0_3281_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_3281]) ).
cnf(c_0_3282_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_3282]) ).
cnf(c_0_3282_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_3282]) ).
cnf(c_0_3282_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_3282]) ).
cnf(c_0_3283_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,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_3283]) ).
cnf(c_0_3283_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3283]) ).
cnf(c_0_3283_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3283]) ).
cnf(c_0_3284_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3284]) ).
cnf(c_0_3284_1,axiom,
( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3284]) ).
cnf(c_0_3284_2,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(X1)
| ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3284]) ).
cnf(c_0_3285_0,axiom,
( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3285]) ).
cnf(c_0_3285_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_Power_Opower__class_Opower(X2,X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__semidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3285]) ).
cnf(c_0_3285_2,axiom,
( ~ class_Ring__and__Field_Oordered__semidom(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_Power_Opower__class_Opower(X2,X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3285]) ).
cnf(c_0_3286_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_3286]) ).
cnf(c_0_3286_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_3286]) ).
cnf(c_0_3286_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_3286]) ).
cnf(c_0_3287_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_3287]) ).
cnf(c_0_3287_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_3287]) ).
cnf(c_0_3288_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_3288]) ).
cnf(c_0_3288_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_3288]) ).
cnf(c_0_3289_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_3289]) ).
cnf(c_0_3289_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_3289]) ).
cnf(c_0_3289_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_3289]) ).
cnf(c_0_3290_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_3290]) ).
cnf(c_0_3290_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_3290]) ).
cnf(c_0_3290_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_3290]) ).
cnf(c_0_3291_0,axiom,
( c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3291]) ).
cnf(c_0_3291_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3291]) ).
cnf(c_0_3291_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X2,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3291]) ).
cnf(c_0_3292_0,axiom,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3292]) ).
cnf(c_0_3292_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3292]) ).
cnf(c_0_3292_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3292]) ).
cnf(c_0_3293_0,axiom,
( c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3293]) ).
cnf(c_0_3293_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3293]) ).
cnf(c_0_3293_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3293]) ).
cnf(c_0_3294_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3294]) ).
cnf(c_0_3294_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3294]) ).
cnf(c_0_3294_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3294]) ).
cnf(c_0_3295_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3295]) ).
cnf(c_0_3295_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3295]) ).
cnf(c_0_3295_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3295]) ).
cnf(c_0_3296_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3296]) ).
cnf(c_0_3296_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3296]) ).
cnf(c_0_3296_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3296]) ).
cnf(c_0_3297_0,axiom,
( c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3297]) ).
cnf(c_0_3297_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3297]) ).
cnf(c_0_3297_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3297]) ).
cnf(c_0_3298_0,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3298]) ).
cnf(c_0_3298_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3298]) ).
cnf(c_0_3298_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3298]) ).
cnf(c_0_3299_0,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3299]) ).
cnf(c_0_3299_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3299]) ).
cnf(c_0_3299_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3299]) ).
cnf(c_0_3300_0,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3300]) ).
cnf(c_0_3300_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3300]) ).
cnf(c_0_3300_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3300]) ).
cnf(c_0_3301_0,axiom,
( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3301]) ).
cnf(c_0_3301_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3301]) ).
cnf(c_0_3301_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_HOL_Oord__class_Oless(X1,X2,X3)
| c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3301]) ).
cnf(c_0_3302_0,axiom,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3302]) ).
cnf(c_0_3302_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3302]) ).
cnf(c_0_3302_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3302]) ).
cnf(c_0_3303_0,axiom,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3303]) ).
cnf(c_0_3303_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3303]) ).
cnf(c_0_3303_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3303]) ).
cnf(c_0_3304_0,axiom,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3304]) ).
cnf(c_0_3304_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3304]) ).
cnf(c_0_3304_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X4,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3304]) ).
cnf(c_0_3305_0,axiom,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3305]) ).
cnf(c_0_3305_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3305]) ).
cnf(c_0_3305_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X4,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3305]) ).
cnf(c_0_3306_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3306]) ).
cnf(c_0_3306_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3306]) ).
cnf(c_0_3306_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3306]) ).
cnf(c_0_3307_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3307]) ).
cnf(c_0_3307_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3307]) ).
cnf(c_0_3307_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3307]) ).
cnf(c_0_3308_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3308]) ).
cnf(c_0_3308_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3308]) ).
cnf(c_0_3308_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X4,X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3308]) ).
cnf(c_0_3309_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3309]) ).
cnf(c_0_3309_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3309]) ).
cnf(c_0_3309_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3309]) ).
cnf(c_0_3310_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3310]) ).
cnf(c_0_3310_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3310]) ).
cnf(c_0_3310_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X4,X1,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3310]) ).
cnf(c_0_3311_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3311]) ).
cnf(c_0_3311_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3311]) ).
cnf(c_0_3311_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X4,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3311]) ).
cnf(c_0_3312_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_3312]) ).
cnf(c_0_3312_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_3312]) ).
cnf(c_0_3313_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_3313]) ).
cnf(c_0_3313_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_3313]) ).
cnf(c_0_3314_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_3314]) ).
cnf(c_0_3314_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_3314]) ).
cnf(c_0_3315_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
| ~ class_RealVector_Oreal__normed__field(X3)
| ~ class_SEQ_Obanach(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3315]) ).
cnf(c_0_3315_1,axiom,
( ~ class_RealVector_Oreal__normed__field(X3)
| c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3)
| ~ class_SEQ_Obanach(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3315]) ).
cnf(c_0_3315_2,axiom,
( ~ class_SEQ_Obanach(X3)
| ~ class_RealVector_Oreal__normed__field(X3)
| c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X3),c_Transcendental_Oexp(X2,X3),X3) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3315]) ).
cnf(c_0_3316_0,axiom,
( c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
| ~ class_RealVector_Oreal__normed__field(X2)
| ~ class_SEQ_Obanach(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3316]) ).
cnf(c_0_3316_1,axiom,
( ~ class_RealVector_Oreal__normed__field(X2)
| c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2)
| ~ class_SEQ_Obanach(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3316]) ).
cnf(c_0_3316_2,axiom,
( ~ class_SEQ_Obanach(X2)
| ~ class_RealVector_Oreal__normed__field(X2)
| c_HOL_Otimes__class_Otimes(c_Transcendental_Oexp(X1,X2),c_Transcendental_Oexp(X3,X2),X2) = c_Transcendental_Oexp(c_HOL_Oplus__class_Oplus(X1,X3,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3316]) ).
cnf(c_0_3317_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_3317]) ).
cnf(c_0_3317_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_3317]) ).
cnf(c_0_3317_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_3317]) ).
cnf(c_0_3317_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_3317]) ).
cnf(c_0_3318_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_3318]) ).
cnf(c_0_3318_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_3318]) ).
cnf(c_0_3318_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_3318]) ).
cnf(c_0_3318_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_3318]) ).
cnf(c_0_3319_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_3319]) ).
cnf(c_0_3319_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_3319]) ).
cnf(c_0_3319_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_3319]) ).
cnf(c_0_3319_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_3319]) ).
cnf(c_0_3320_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_3320]) ).
cnf(c_0_3320_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_3320]) ).
cnf(c_0_3320_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_3320]) ).
cnf(c_0_3320_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_3320]) ).
cnf(c_0_3321_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_3321]) ).
cnf(c_0_3321_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_3321]) ).
cnf(c_0_3321_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_3321]) ).
cnf(c_0_3321_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_3321]) ).
cnf(c_0_3322_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_3322]) ).
cnf(c_0_3322_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_3322]) ).
cnf(c_0_3322_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_3322]) ).
cnf(c_0_3322_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_3322]) ).
cnf(c_0_3323_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_3323]) ).
cnf(c_0_3323_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_3323]) ).
cnf(c_0_3323_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_3323]) ).
cnf(c_0_3323_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_3323]) ).
cnf(c_0_3324_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_3324]) ).
cnf(c_0_3324_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_3324]) ).
cnf(c_0_3324_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_3324]) ).
cnf(c_0_3324_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_3324]) ).
cnf(c_0_3325_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_3325]) ).
cnf(c_0_3325_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_3325]) ).
cnf(c_0_3326_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_3326]) ).
cnf(c_0_3326_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_3326]) ).
cnf(c_0_3327_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_3327]) ).
cnf(c_0_3327_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_3327]) ).
cnf(c_0_3328_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_3328]) ).
cnf(c_0_3328_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_3328]) ).
cnf(c_0_3329_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_3329]) ).
cnf(c_0_3329_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_3329]) ).
cnf(c_0_3330_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_3330]) ).
cnf(c_0_3330_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_3330]) ).
cnf(c_0_3330_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_3330]) ).
cnf(c_0_3331_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_3331]) ).
cnf(c_0_3331_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_3331]) ).
cnf(c_0_3331_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_3331]) ).
cnf(c_0_3332_0,axiom,
( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3332]) ).
cnf(c_0_3332_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X2,X1),X3,X1),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3332]) ).
cnf(c_0_3333_0,axiom,
( c_Polynomial_Opos__poly(X2,X3)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3333_1,axiom,
( X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| c_Polynomial_Opos__poly(X2,X3)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3333_2,axiom,
( ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| c_Polynomial_Opos__poly(X2,X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3333_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| ~ c_Polynomial_Opos__poly(c_Polynomial_OpCons(X1,X2,X3),X3)
| X2 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X3))
| c_Polynomial_Opos__poly(X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3333]) ).
cnf(c_0_3334_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_3334]) ).
cnf(c_0_3334_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_3334]) ).
cnf(c_0_3335_0,axiom,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3335]) ).
cnf(c_0_3335_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3335]) ).
cnf(c_0_3336_0,axiom,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3336]) ).
cnf(c_0_3336_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3336]) ).
cnf(c_0_3337_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3337]) ).
cnf(c_0_3337_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3337]) ).
cnf(c_0_3338_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3338]) ).
cnf(c_0_3338_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X3) = c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3338]) ).
cnf(c_0_3339_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_3339]) ).
cnf(c_0_3339_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_3339]) ).
cnf(c_0_3340_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_3340]) ).
cnf(c_0_3340_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_3340]) ).
cnf(c_0_3340_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_3340]) ).
cnf(c_0_3341_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_3341]) ).
cnf(c_0_3341_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_3341]) ).
cnf(c_0_3341_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_3341]) ).
cnf(c_0_3342_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_3342]) ).
cnf(c_0_3342_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_3342]) ).
cnf(c_0_3342_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_3342]) ).
cnf(c_0_3343_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_3343]) ).
cnf(c_0_3343_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_3343]) ).
cnf(c_0_3343_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_3343]) ).
cnf(c_0_3344_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_3344]) ).
cnf(c_0_3344_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_3344]) ).
cnf(c_0_3344_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_3344]) ).
cnf(c_0_3345_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_3345]) ).
cnf(c_0_3345_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_3345]) ).
cnf(c_0_3345_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_3345]) ).
cnf(c_0_3346_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_3346]) ).
cnf(c_0_3346_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_3346]) ).
cnf(c_0_3346_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_3346]) ).
cnf(c_0_3347_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_3347]) ).
cnf(c_0_3347_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_3347]) ).
cnf(c_0_3347_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_3347]) ).
cnf(c_0_3348_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_3348]) ).
cnf(c_0_3348_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_3348]) ).
cnf(c_0_3348_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_3348]) ).
cnf(c_0_3349_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_3349]) ).
cnf(c_0_3349_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_3349]) ).
cnf(c_0_3349_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_3349]) ).
cnf(c_0_3350_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_3350]) ).
cnf(c_0_3350_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_3350]) ).
cnf(c_0_3350_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_3350]) ).
cnf(c_0_3351_0,axiom,
( c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3351]) ).
cnf(c_0_3351_1,axiom,
( ~ c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3351]) ).
cnf(c_0_3352_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3352]) ).
cnf(c_0_3352_1,axiom,
( ~ c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3352]) ).
cnf(c_0_3353_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_3353]) ).
cnf(c_0_3353_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_3353]) ).
cnf(c_0_3354_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_3354]) ).
cnf(c_0_3354_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_3354]) ).
cnf(c_0_3355_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_3355]) ).
cnf(c_0_3355_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_3355]) ).
cnf(c_0_3356_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_3356]) ).
cnf(c_0_3356_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_3356]) ).
cnf(c_0_3357_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_3357]) ).
cnf(c_0_3357_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_3357]) ).
cnf(c_0_3358_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_3358]) ).
cnf(c_0_3358_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_3358]) ).
cnf(c_0_3359_0,axiom,
( c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3)
| ~ class_Ring__and__Field_Oordered__idom(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3359]) ).
cnf(c_0_3359_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X3)
| c_Power_Opower__class_Opower(c_HOL_Oabs__class_Oabs(X1,X3),X2,X3) = c_HOL_Oabs__class_Oabs(c_Power_Opower__class_Opower(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3359]) ).
cnf(c_0_3360_0,axiom,
( c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X1,X2,X3),X3) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X1,X3),X2,tc_RealDef_Oreal)
| ~ class_RealVector_Oreal__normed__div__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3360]) ).
cnf(c_0_3360_1,axiom,
( ~ class_RealVector_Oreal__normed__div__algebra(X3)
| c_RealVector_Onorm__class_Onorm(c_Power_Opower__class_Opower(X1,X2,X3),X3) = c_Power_Opower__class_Opower(c_RealVector_Onorm__class_Onorm(X1,X3),X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3360]) ).
cnf(c_0_3361_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_3361]) ).
cnf(c_0_3361_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_3361]) ).
cnf(c_0_3361_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_3361]) ).
cnf(c_0_3362_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_3362]) ).
cnf(c_0_3362_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_3362]) ).
cnf(c_0_3362_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_3362]) ).
cnf(c_0_3363_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_3363]) ).
cnf(c_0_3363_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_3363]) ).
cnf(c_0_3363_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_3363]) ).
cnf(c_0_3364_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_3364]) ).
cnf(c_0_3364_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_3364]) ).
cnf(c_0_3364_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_3364]) ).
cnf(c_0_3365_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_3365]) ).
cnf(c_0_3365_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_3365]) ).
cnf(c_0_3365_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_3365]) ).
cnf(c_0_3365_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_3365]) ).
cnf(c_0_3366_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_3366]) ).
cnf(c_0_3366_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_3366]) ).
cnf(c_0_3366_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_3366]) ).
cnf(c_0_3367_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_3367]) ).
cnf(c_0_3367_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_3367]) ).
cnf(c_0_3367_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_3367]) ).
cnf(c_0_3368_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_3368]) ).
cnf(c_0_3368_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_3368]) ).
cnf(c_0_3369_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_3369]) ).
cnf(c_0_3369_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_3369]) ).
cnf(c_0_3369_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_3369]) ).
cnf(c_0_3369_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_3369]) ).
cnf(c_0_3370_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_3370]) ).
cnf(c_0_3370_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_3370]) ).
cnf(c_0_3371_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_3371]) ).
cnf(c_0_3371_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_3371]) ).
cnf(c_0_3372_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_3372]) ).
cnf(c_0_3372_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_3372]) ).
cnf(c_0_3372_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_3372]) ).
cnf(c_0_3373_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_3373]) ).
cnf(c_0_3373_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_3373]) ).
cnf(c_0_3373_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_3373]) ).
cnf(c_0_3374_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_3374]) ).
cnf(c_0_3374_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_3374]) ).
cnf(c_0_3374_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_3374]) ).
cnf(c_0_3375_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_3375]) ).
cnf(c_0_3375_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_3375]) ).
cnf(c_0_3375_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_3375]) ).
cnf(c_0_3376_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_3376]) ).
cnf(c_0_3376_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_3376]) ).
cnf(c_0_3376_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_3376]) ).
cnf(c_0_3377_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_3377]) ).
cnf(c_0_3377_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_3377]) ).
cnf(c_0_3377_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_3377]) ).
cnf(c_0_3378_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_3378]) ).
cnf(c_0_3378_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_3378]) ).
cnf(c_0_3378_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_3378]) ).
cnf(c_0_3379_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_Osmult(X3,X1,X2) != c_Polynomial_OpCons(X4,X1,X2)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3379_1,axiom,
( c_Polynomial_Osmult(X3,X1,X2) != c_Polynomial_OpCons(X4,X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3379_2,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X2)
| c_Polynomial_Osmult(X3,X1,X2) != c_Polynomial_OpCons(X4,X1,X2)
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3379]) ).
cnf(c_0_3380_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_3380]) ).
cnf(c_0_3380_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_3380]) ).
cnf(c_0_3380_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_3380]) ).
cnf(c_0_3381_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_3381]) ).
cnf(c_0_3381_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_3381]) ).
cnf(c_0_3381_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_3381]) ).
cnf(c_0_3382_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_3382]) ).
cnf(c_0_3382_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_3382]) ).
cnf(c_0_3382_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_3382]) ).
cnf(c_0_3383_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_3383]) ).
cnf(c_0_3383_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_3383]) ).
cnf(c_0_3383_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_3383]) ).
cnf(c_0_3384_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_3384]) ).
cnf(c_0_3384_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_3384]) ).
cnf(c_0_3384_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_3384]) ).
cnf(c_0_3384_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_3384]) ).
cnf(c_0_3385_0,axiom,
( c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X2)),X2)
| ~ c_Polynomial_Opos__poly(X1,X2)
| ~ c_Polynomial_Opos__poly(X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3385_1,axiom,
( ~ c_Polynomial_Opos__poly(X1,X2)
| c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X2)),X2)
| ~ c_Polynomial_Opos__poly(X3,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3385_2,axiom,
( ~ c_Polynomial_Opos__poly(X3,X2)
| ~ c_Polynomial_Opos__poly(X1,X2)
| c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X2)),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3385_3,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_Polynomial_Opos__poly(X3,X2)
| ~ c_Polynomial_Opos__poly(X1,X2)
| c_Polynomial_Opos__poly(c_HOL_Oplus__class_Oplus(X1,X3,tc_Polynomial_Opoly(X2)),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3385]) ).
cnf(c_0_3386_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_3386]) ).
cnf(c_0_3386_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_3386]) ).
cnf(c_0_3386_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_3386]) ).
cnf(c_0_3387_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_3387]) ).
cnf(c_0_3387_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_3387]) ).
cnf(c_0_3387_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_3387]) ).
cnf(c_0_3388_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_3388]) ).
cnf(c_0_3388_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_3388]) ).
cnf(c_0_3388_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_3388]) ).
cnf(c_0_3389_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_3389]) ).
cnf(c_0_3389_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_3389]) ).
cnf(c_0_3389_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_3389]) ).
cnf(c_0_3390_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_3390]) ).
cnf(c_0_3390_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_3390]) ).
cnf(c_0_3390_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_3390]) ).
cnf(c_0_3391_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3391]) ).
cnf(c_0_3391_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3391]) ).
cnf(c_0_3392_0,axiom,
( c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3392]) ).
cnf(c_0_3392_1,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Oexp(X1,tc_RealDef_Oreal),c_Transcendental_Oexp(X2,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3392]) ).
cnf(c_0_3393_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_3393]) ).
cnf(c_0_3393_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_3393]) ).
cnf(c_0_3394_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_3394]) ).
cnf(c_0_3394_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_3394]) ).
cnf(c_0_3394_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_3394]) ).
cnf(c_0_3394_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_3394]) ).
cnf(c_0_3395_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_3395]) ).
cnf(c_0_3395_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_3395]) ).
cnf(c_0_3395_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_3395]) ).
cnf(c_0_3395_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_3395]) ).
cnf(c_0_3396_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_3396]) ).
cnf(c_0_3396_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_3396]) ).
cnf(c_0_3396_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_3396]) ).
cnf(c_0_3396_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_3396]) ).
cnf(c_0_3397_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_3397]) ).
cnf(c_0_3397_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_3397]) ).
cnf(c_0_3397_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_3397]) ).
cnf(c_0_3398_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_3398]) ).
cnf(c_0_3398_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_3398]) ).
cnf(c_0_3398_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_3398]) ).
cnf(c_0_3399_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_3399]) ).
cnf(c_0_3399_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_3399]) ).
cnf(c_0_3399_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_3399]) ).
cnf(c_0_3400_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_3400]) ).
cnf(c_0_3400_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_3400]) ).
cnf(c_0_3400_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_3400]) ).
cnf(c_0_3401_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_3401]) ).
cnf(c_0_3401_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_3401]) ).
cnf(c_0_3401_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_3401]) ).
cnf(c_0_3402_0,axiom,
( X1 = X2
| c_Polynomial_OpCons(X1,X3,X4) != c_Polynomial_OpCons(X2,X5,X4)
| ~ class_HOL_Ozero(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3402]) ).
cnf(c_0_3402_1,axiom,
( c_Polynomial_OpCons(X1,X3,X4) != c_Polynomial_OpCons(X2,X5,X4)
| X1 = X2
| ~ class_HOL_Ozero(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3402]) ).
cnf(c_0_3402_2,axiom,
( ~ class_HOL_Ozero(X4)
| c_Polynomial_OpCons(X1,X3,X4) != c_Polynomial_OpCons(X2,X5,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3402]) ).
cnf(c_0_3403_0,axiom,
( X1 = X2
| c_Polynomial_OpCons(X3,X1,X4) != c_Polynomial_OpCons(X5,X2,X4)
| ~ class_HOL_Ozero(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3403]) ).
cnf(c_0_3403_1,axiom,
( c_Polynomial_OpCons(X3,X1,X4) != c_Polynomial_OpCons(X5,X2,X4)
| X1 = X2
| ~ class_HOL_Ozero(X4) ),
inference(literals_permutation,[status(thm)],[c_0_3403]) ).
cnf(c_0_3403_2,axiom,
( ~ class_HOL_Ozero(X4)
| c_Polynomial_OpCons(X3,X1,X4) != c_Polynomial_OpCons(X5,X2,X4)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3403]) ).
cnf(c_0_3404_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_3404]) ).
cnf(c_0_3404_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_3404]) ).
cnf(c_0_3404_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_3404]) ).
cnf(c_0_3405_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_3405]) ).
cnf(c_0_3405_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_3405]) ).
cnf(c_0_3405_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_3405]) ).
cnf(c_0_3406_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_3406]) ).
cnf(c_0_3406_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_3406]) ).
cnf(c_0_3406_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_3406]) ).
cnf(c_0_3407_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_3407]) ).
cnf(c_0_3407_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_3407]) ).
cnf(c_0_3407_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_3407]) ).
cnf(c_0_3408_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_3408]) ).
cnf(c_0_3408_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_3408]) ).
cnf(c_0_3408_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_3408]) ).
cnf(c_0_3409_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_3409]) ).
cnf(c_0_3409_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_3409]) ).
cnf(c_0_3409_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_3409]) ).
cnf(c_0_3410_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_3410]) ).
cnf(c_0_3410_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_3410]) ).
cnf(c_0_3410_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_3410]) ).
cnf(c_0_3411_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_3411]) ).
cnf(c_0_3411_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_3411]) ).
cnf(c_0_3411_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_3411]) ).
cnf(c_0_3412_0,axiom,
( c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3412]) ).
cnf(c_0_3412_1,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(X1,c_RealVector_Onorm__class_Onorm(X2,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3412]) ).
cnf(c_0_3413_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_3413]) ).
cnf(c_0_3413_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_3413]) ).
cnf(c_0_3414_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_3414]) ).
cnf(c_0_3414_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_3414]) ).
cnf(c_0_3415_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_3415]) ).
cnf(c_0_3415_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_3415]) ).
cnf(c_0_3415_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_3415]) ).
cnf(c_0_3416_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_3416]) ).
cnf(c_0_3416_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_3416]) ).
cnf(c_0_3416_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_3416]) ).
cnf(c_0_3417_0,axiom,
( c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3417]) ).
cnf(c_0_3417_1,axiom,
( c_lessequals(c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X1,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3417]) ).
cnf(c_0_3418_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_3418]) ).
cnf(c_0_3418_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_3418]) ).
cnf(c_0_3418_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_3418]) ).
cnf(c_0_3419_0,axiom,
( c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3419]) ).
cnf(c_0_3419_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3419]) ).
cnf(c_0_3420_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_3420]) ).
cnf(c_0_3420_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_3420]) ).
cnf(c_0_3421_0,axiom,
( c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3421]) ).
cnf(c_0_3421_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3421]) ).
cnf(c_0_3422_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_3422]) ).
cnf(c_0_3422_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_3422]) ).
cnf(c_0_3423_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3423]) ).
cnf(c_0_3423_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3423]) ).
cnf(c_0_3424_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3424]) ).
cnf(c_0_3424_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3424]) ).
cnf(c_0_3425_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3425]) ).
cnf(c_0_3425_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3425]) ).
cnf(c_0_3426_0,axiom,
( c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3426]) ).
cnf(c_0_3426_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_lessequals(c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3426]) ).
cnf(c_0_3427_0,axiom,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3427]) ).
cnf(c_0_3427_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3427]) ).
cnf(c_0_3428_0,axiom,
( c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3428]) ).
cnf(c_0_3428_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X3),X3) ),
inference(literals_permutation,[status(thm)],[c_0_3428]) ).
cnf(c_0_3429_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3429]) ).
cnf(c_0_3429_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3429]) ).
cnf(c_0_3430_0,axiom,
( c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3430]) ).
cnf(c_0_3430_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X3),X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3430]) ).
cnf(c_0_3431_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_3431]) ).
cnf(c_0_3431_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_3431]) ).
cnf(c_0_3432_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_3432]) ).
cnf(c_0_3432_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_3432]) ).
cnf(c_0_3433_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_3433]) ).
cnf(c_0_3433_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_3433]) ).
cnf(c_0_3434_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_3434]) ).
cnf(c_0_3434_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_3434]) ).
cnf(c_0_3435_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_3435]) ).
cnf(c_0_3435_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_3435]) ).
cnf(c_0_3436_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_3436]) ).
cnf(c_0_3436_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_3436]) ).
cnf(c_0_3437_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_3437]) ).
cnf(c_0_3437_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_3437]) ).
cnf(c_0_3438_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_3438]) ).
cnf(c_0_3438_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_3438]) ).
cnf(c_0_3439_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_3439]) ).
cnf(c_0_3439_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_3439]) ).
cnf(c_0_3440_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_3440]) ).
cnf(c_0_3440_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_3440]) ).
cnf(c_0_3441_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_3441]) ).
cnf(c_0_3441_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_3441]) ).
cnf(c_0_3442_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_3442]) ).
cnf(c_0_3442_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_3442]) ).
cnf(c_0_3443_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_3443]) ).
cnf(c_0_3443_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_3443]) ).
cnf(c_0_3444_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_3444]) ).
cnf(c_0_3444_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_3444]) ).
cnf(c_0_3445_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_3445]) ).
cnf(c_0_3445_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_3445]) ).
cnf(c_0_3446_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_3446]) ).
cnf(c_0_3446_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_3446]) ).
cnf(c_0_3447_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_3447]) ).
cnf(c_0_3447_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_3447]) ).
cnf(c_0_3448_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_3448]) ).
cnf(c_0_3448_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_3448]) ).
cnf(c_0_3449_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_3449]) ).
cnf(c_0_3449_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_3449]) ).
cnf(c_0_3450_0,axiom,
( c_Polynomial_Opos__poly(c_Polynomial_OpCons(X3,X1,X2),X2)
| ~ c_Polynomial_Opos__poly(X1,X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3450]) ).
cnf(c_0_3450_1,axiom,
( ~ c_Polynomial_Opos__poly(X1,X2)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X3,X1,X2),X2)
| ~ class_Ring__and__Field_Oordered__idom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3450]) ).
cnf(c_0_3450_2,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X2)
| ~ c_Polynomial_Opos__poly(X1,X2)
| c_Polynomial_Opos__poly(c_Polynomial_OpCons(X3,X1,X2),X2) ),
inference(literals_permutation,[status(thm)],[c_0_3450]) ).
cnf(c_0_3451_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_3451]) ).
cnf(c_0_3451_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_3451]) ).
cnf(c_0_3451_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_3451]) ).
cnf(c_0_3451_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_3451]) ).
cnf(c_0_3452_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_3452]) ).
cnf(c_0_3452_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_3452]) ).
cnf(c_0_3452_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_3452]) ).
cnf(c_0_3452_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_3452]) ).
cnf(c_0_3453_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_3453]) ).
cnf(c_0_3453_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_3453]) ).
cnf(c_0_3453_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_3453]) ).
cnf(c_0_3453_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_3453]) ).
cnf(c_0_3454_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_3454]) ).
cnf(c_0_3454_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_3454]) ).
cnf(c_0_3454_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_3454]) ).
cnf(c_0_3454_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_3454]) ).
cnf(c_0_3455_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_3455]) ).
cnf(c_0_3455_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_3455]) ).
cnf(c_0_3455_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_3455]) ).
cnf(c_0_3455_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_3455]) ).
cnf(c_0_3456_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_3456]) ).
cnf(c_0_3456_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_3456]) ).
cnf(c_0_3456_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_3456]) ).
cnf(c_0_3456_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_3456]) ).
cnf(c_0_3457_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_3457]) ).
cnf(c_0_3457_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_3457]) ).
cnf(c_0_3457_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_3457]) ).
cnf(c_0_3457_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_3457]) ).
cnf(c_0_3458_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_3458]) ).
cnf(c_0_3458_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_3458]) ).
cnf(c_0_3458_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_3458]) ).
cnf(c_0_3458_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_3458]) ).
cnf(c_0_3459_0,axiom,
( c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3459]) ).
cnf(c_0_3459_1,axiom,
( c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3459]) ).
cnf(c_0_3459_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omax(X1,X2,X3) != X2
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3459]) ).
cnf(c_0_3460_0,axiom,
( c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3460]) ).
cnf(c_0_3460_1,axiom,
( c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3460]) ).
cnf(c_0_3460_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omin(X1,X2,X3) != X1
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3460]) ).
cnf(c_0_3461_0,axiom,
( c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3461]) ).
cnf(c_0_3461_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3461]) ).
cnf(c_0_3461_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) != X1
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3461]) ).
cnf(c_0_3462_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_3462]) ).
cnf(c_0_3462_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_3462]) ).
cnf(c_0_3463_0,axiom,
( c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
| ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3463]) ).
cnf(c_0_3463_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X2,tc_RealDef_Oreal)
| c_HOL_Oord__class_Oless(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3463]) ).
cnf(c_0_3464_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_3464]) ).
cnf(c_0_3464_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_3464]) ).
cnf(c_0_3465_0,axiom,
( c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal)
| ~ c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3465]) ).
cnf(c_0_3465_1,axiom,
( ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(c_Transcendental_Oarctan(X1),c_Transcendental_Oarctan(X2),tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3465]) ).
cnf(c_0_3466_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_3466]) ).
cnf(c_0_3466_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_3466]) ).
cnf(c_0_3466_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_3466]) ).
cnf(c_0_3467_0,axiom,
( c_Orderings_Oord__class_Omax(X2,X1,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3467]) ).
cnf(c_0_3467_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omax(X2,X1,X3) = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3467]) ).
cnf(c_0_3467_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omax(X2,X1,X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3467]) ).
cnf(c_0_3468_0,axiom,
( c_Orderings_Oord__class_Omax(X1,X2,X3) = X2
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3468]) ).
cnf(c_0_3468_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omax(X1,X2,X3) = X2
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3468]) ).
cnf(c_0_3468_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omax(X1,X2,X3) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3468]) ).
cnf(c_0_3469_0,axiom,
( c_Orderings_Oord__class_Omin(X2,X1,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3469]) ).
cnf(c_0_3469_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omin(X2,X1,X3) = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3469]) ).
cnf(c_0_3469_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omin(X2,X1,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3469]) ).
cnf(c_0_3470_0,axiom,
( c_Orderings_Oord__class_Omin(X1,X2,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3470]) ).
cnf(c_0_3470_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omin(X1,X2,X3) = X1
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3470]) ).
cnf(c_0_3470_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Orderings_Oord__class_Omin(X1,X2,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3470]) ).
cnf(c_0_3471_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3471]) ).
cnf(c_0_3471_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3471]) ).
cnf(c_0_3471_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3471]) ).
cnf(c_0_3472_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
| ~ c_lessequals(X1,X2,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3472]) ).
cnf(c_0_3472_1,axiom,
( ~ c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3472]) ).
cnf(c_0_3472_2,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| ~ c_lessequals(X1,X2,X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3472]) ).
cnf(c_0_3473_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_3473]) ).
cnf(c_0_3473_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_3473]) ).
cnf(c_0_3473_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_3473]) ).
cnf(c_0_3474_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_3474]) ).
cnf(c_0_3474_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_3474]) ).
cnf(c_0_3474_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_3474]) ).
cnf(c_0_3475_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_3475]) ).
cnf(c_0_3475_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_3475]) ).
cnf(c_0_3476_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3476]) ).
cnf(c_0_3476_1,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),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_3476]) ).
cnf(c_0_3476_2,axiom,
( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3476]) ).
cnf(c_0_3477_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_3477]) ).
cnf(c_0_3477_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_3477]) ).
cnf(c_0_3478_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_3478]) ).
cnf(c_0_3478_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_3478]) ).
cnf(c_0_3479_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_3479]) ).
cnf(c_0_3479_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_3479]) ).
cnf(c_0_3480_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_3480]) ).
cnf(c_0_3480_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_3480]) ).
cnf(c_0_3481_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_3481]) ).
cnf(c_0_3481_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_3481]) ).
cnf(c_0_3482_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3)
| ~ class_Lattices_Oboolean__algebra(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3482]) ).
cnf(c_0_3482_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X2,X3),X3) = c_HOL_Ominus__class_Ominus(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3482]) ).
cnf(c_0_3483_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_3483]) ).
cnf(c_0_3483_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_3483]) ).
cnf(c_0_3484_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_3484]) ).
cnf(c_0_3484_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_3484]) ).
cnf(c_0_3484_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_3484]) ).
cnf(c_0_3485_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_3485]) ).
cnf(c_0_3485_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_3485]) ).
cnf(c_0_3485_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_3485]) ).
cnf(c_0_3486_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(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_3486]) ).
cnf(c_0_3486_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2)
| ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3486]) ).
cnf(c_0_3486_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_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3486]) ).
cnf(c_0_3486_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_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3486]) ).
cnf(c_0_3487_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_3487]) ).
cnf(c_0_3487_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_3487]) ).
cnf(c_0_3488_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_3488]) ).
cnf(c_0_3488_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_3488]) ).
cnf(c_0_3489_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(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_3489]) ).
cnf(c_0_3489_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3489]) ).
cnf(c_0_3489_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_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3489]) ).
cnf(c_0_3490_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(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_3490]) ).
cnf(c_0_3490_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2)
| ~ class_Ring__and__Field_Oabs__if(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3490]) ).
cnf(c_0_3490_2,axiom,
( ~ class_Ring__and__Field_Oabs__if(X2)
| ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3490]) ).
cnf(c_0_3491_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(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_3491]) ).
cnf(c_0_3491_1,axiom,
( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2)
| ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3491]) ).
cnf(c_0_3491_2,axiom,
( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
| ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
| c_HOL_Ouminus__class_Ouminus(X1,X2) = c_HOL_Oabs__class_Oabs(X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3491]) ).
cnf(c_0_3492_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3492_1,axiom,
( c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Power_Opower(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3492_2,axiom,
( ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3492_3,axiom,
( ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3492_4,axiom,
( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Ozero__neq__one(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3492_5,axiom,
( ~ class_Ring__and__Field_Ozero__neq__one(X2)
| ~ class_Ring__and__Field_Ono__zero__divisors(X2)
| ~ class_Ring__and__Field_Omult__zero(X2)
| ~ class_Power_Opower(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3492]) ).
cnf(c_0_3493_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_Osmult(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3493]) ).
cnf(c_0_3493_1,axiom,
( X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Polynomial_Osmult(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3493]) ).
cnf(c_0_3493_2,axiom,
( c_Polynomial_Osmult(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3493]) ).
cnf(c_0_3493_3,axiom,
( ~ class_Ring__and__Field_Oidom(X2)
| c_Polynomial_Osmult(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X3 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3493]) ).
cnf(c_0_3494_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_3494]) ).
cnf(c_0_3494_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_3494]) ).
cnf(c_0_3495_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| c_Polynomial_OpCons(X3,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3495]) ).
cnf(c_0_3495_1,axiom,
( c_Polynomial_OpCons(X3,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3495]) ).
cnf(c_0_3495_2,axiom,
( ~ class_HOL_Ozero(X2)
| c_Polynomial_OpCons(X3,X1,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X1 = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3495]) ).
cnf(c_0_3496_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_3496]) ).
cnf(c_0_3496_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_3496]) ).
cnf(c_0_3496_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_3496]) ).
cnf(c_0_3496_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_3496]) ).
cnf(c_0_3497_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_3497]) ).
cnf(c_0_3497_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_3497]) ).
cnf(c_0_3497_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_3497]) ).
cnf(c_0_3497_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_3497]) ).
cnf(c_0_3498_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_3498]) ).
cnf(c_0_3498_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_3498]) ).
cnf(c_0_3498_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_3498]) ).
cnf(c_0_3498_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_3498]) ).
cnf(c_0_3499_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_3499]) ).
cnf(c_0_3499_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_3499]) ).
cnf(c_0_3499_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_3499]) ).
cnf(c_0_3499_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_3499]) ).
cnf(c_0_3500_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_3500]) ).
cnf(c_0_3500_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_3500]) ).
cnf(c_0_3500_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_3500]) ).
cnf(c_0_3500_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_3500]) ).
cnf(c_0_3501_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_3501]) ).
cnf(c_0_3501_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_3501]) ).
cnf(c_0_3501_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_3501]) ).
cnf(c_0_3502_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_3502]) ).
cnf(c_0_3502_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_3502]) ).
cnf(c_0_3502_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_3502]) ).
cnf(c_0_3503_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_3503]) ).
cnf(c_0_3503_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_3503]) ).
cnf(c_0_3503_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_3503]) ).
cnf(c_0_3504_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_3504]) ).
cnf(c_0_3504_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_3504]) ).
cnf(c_0_3504_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_3504]) ).
cnf(c_0_3505_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_3505]) ).
cnf(c_0_3505_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_3505]) ).
cnf(c_0_3505_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_3505]) ).
cnf(c_0_3506_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_3506]) ).
cnf(c_0_3506_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_3506]) ).
cnf(c_0_3506_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_3506]) ).
cnf(c_0_3507_0,axiom,
( c_lessequals(X1,X2,X3)
| c_lessequals(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3507]) ).
cnf(c_0_3507_1,axiom,
( c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3507]) ).
cnf(c_0_3507_2,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_lessequals(X2,X1,X3)
| c_lessequals(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3507]) ).
cnf(c_0_3508_0,axiom,
( c_Orderings_Oord__class_Omax(X1,X2,X3) = c_Orderings_Oord__class_Omax(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3508]) ).
cnf(c_0_3508_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omax(X1,X2,X3) = c_Orderings_Oord__class_Omax(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3508]) ).
cnf(c_0_3509_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_3509]) ).
cnf(c_0_3509_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_3509]) ).
cnf(c_0_3510_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_3510]) ).
cnf(c_0_3510_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_3510]) ).
cnf(c_0_3511_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olower__semilattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3511]) ).
cnf(c_0_3511_1,axiom,
( ~ class_Lattices_Olower__semilattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3511]) ).
cnf(c_0_3512_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3)
| ~ class_Lattices_Olattice(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3512]) ).
cnf(c_0_3512_1,axiom,
( ~ class_Lattices_Olattice(X3)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X2,X3) = c_Lattices_Olower__semilattice__class_Oinf(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3512]) ).
cnf(c_0_3513_0,axiom,
( c_Orderings_Oord__class_Omin(X1,X2,X3) = c_Orderings_Oord__class_Omin(X2,X1,X3)
| ~ class_Orderings_Olinorder(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3513]) ).
cnf(c_0_3513_1,axiom,
( ~ class_Orderings_Olinorder(X3)
| c_Orderings_Oord__class_Omin(X1,X2,X3) = c_Orderings_Oord__class_Omin(X2,X1,X3) ),
inference(literals_permutation,[status(thm)],[c_0_3513]) ).
cnf(c_0_3514_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_3514]) ).
cnf(c_0_3514_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_3514]) ).
cnf(c_0_3515_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_3515]) ).
cnf(c_0_3515_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_3515]) ).
cnf(c_0_3516_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_3516]) ).
cnf(c_0_3516_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_3516]) ).
cnf(c_0_3517_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_3517]) ).
cnf(c_0_3517_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_3517]) ).
cnf(c_0_3517_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_3517]) ).
cnf(c_0_3518_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_3518]) ).
cnf(c_0_3518_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_3518]) ).
cnf(c_0_3518_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_3518]) ).
cnf(c_0_3519_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Polynomial_OpCons(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3519]) ).
cnf(c_0_3519_1,axiom,
( c_Polynomial_OpCons(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3519]) ).
cnf(c_0_3519_2,axiom,
( ~ class_HOL_Ozero(X2)
| c_Polynomial_OpCons(X1,X3,X2) != c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3519]) ).
cnf(c_0_3520_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_3520]) ).
cnf(c_0_3520_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_3520]) ).
cnf(c_0_3521_0,axiom,
( c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(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_3521]) ).
cnf(c_0_3521_1,axiom,
( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_HOL_Ouminus__class_Ouminus(X1,tc_RealDef_Oreal) = c_HOL_Oabs__class_Oabs(X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3521]) ).
cnf(c_0_3522_0,axiom,
( X1 = X2
| ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X3))
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3522]) ).
cnf(c_0_3522_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X3))
| X1 = X2
| ~ class_HOL_Oeq(X3)
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3522]) ).
cnf(c_0_3522_2,axiom,
( ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X3))
| X1 = X2
| ~ class_HOL_Ozero(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3522]) ).
cnf(c_0_3522_3,axiom,
( ~ class_HOL_Ozero(X3)
| ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(X1,X2,tc_Polynomial_Opoly(X3))
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3522]) ).
cnf(c_0_3523_0,axiom,
( c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3523]) ).
cnf(c_0_3523_1,axiom,
( ~ class_HOL_Oeq(X1)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3523]) ).
cnf(c_0_3523_2,axiom,
( ~ class_HOL_Ozero(X1)
| ~ class_HOL_Oeq(X1)
| c_HOL_Oeq__class_Oeq(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3523]) ).
cnf(c_0_3524_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_3524]) ).
cnf(c_0_3524_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_3524]) ).
cnf(c_0_3524_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_3524]) ).
cnf(c_0_3524_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_3524]) ).
cnf(c_0_3525_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_3525]) ).
cnf(c_0_3525_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_3525]) ).
cnf(c_0_3525_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_3525]) ).
cnf(c_0_3525_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_3525]) ).
cnf(c_0_3526_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_3526]) ).
cnf(c_0_3526_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_3526]) ).
cnf(c_0_3526_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_3526]) ).
cnf(c_0_3526_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_3526]) ).
cnf(c_0_3527_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_3527]) ).
cnf(c_0_3527_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_3527]) ).
cnf(c_0_3527_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_3527]) ).
cnf(c_0_3527_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_3527]) ).
cnf(c_0_3528_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_3528]) ).
cnf(c_0_3528_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_3528]) ).
cnf(c_0_3528_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_3528]) ).
cnf(c_0_3528_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_3528]) ).
cnf(c_0_3529_0,axiom,
( c_lessequals(X1,X2,tc_RealDef_Oreal)
| c_lessequals(X2,X1,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3529]) ).
cnf(c_0_3529_1,axiom,
( c_lessequals(X2,X1,tc_RealDef_Oreal)
| c_lessequals(X1,X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3529]) ).
cnf(c_0_3530_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_3530]) ).
cnf(c_0_3530_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_3530]) ).
cnf(c_0_3531_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3531]) ).
cnf(c_0_3531_1,axiom,
( c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2)
| ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3531]) ).
cnf(c_0_3531_2,axiom,
( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X2)
| c_Power_Opower__class_Opower(X1,X3,X2) != c_HOL_Ozero__class_Ozero(X2)
| X1 = c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3531]) ).
cnf(c_0_3532_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_3532]) ).
cnf(c_0_3532_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_3532]) ).
cnf(c_0_3532_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_3532]) ).
cnf(c_0_3533_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_3533]) ).
cnf(c_0_3533_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_3533]) ).
cnf(c_0_3533_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_3533]) ).
cnf(c_0_3534_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_3534]) ).
cnf(c_0_3534_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_3534]) ).
cnf(c_0_3534_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_3534]) ).
cnf(c_0_3535_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_3535]) ).
cnf(c_0_3535_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_3535]) ).
cnf(c_0_3535_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_3535]) ).
cnf(c_0_3536_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_3536]) ).
cnf(c_0_3536_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_3536]) ).
cnf(c_0_3537_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_3537]) ).
cnf(c_0_3537_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_3537]) ).
cnf(c_0_3538_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_3538]) ).
cnf(c_0_3538_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_3538]) ).
cnf(c_0_3539_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_3539]) ).
cnf(c_0_3539_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_3539]) ).
cnf(c_0_3539_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_3539]) ).
cnf(c_0_3540_0,axiom,
( c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3540]) ).
cnf(c_0_3540_1,axiom,
( ~ class_HOL_Ozero(X1)
| c_Polynomial_OpCons(c_HOL_Ozero__class_Ozero(X1),c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3540]) ).
cnf(c_0_3541_0,axiom,
( X1 = X2
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| ~ class_HOL_Oeq(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3541]) ).
cnf(c_0_3541_1,axiom,
( ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| X1 = X2
| ~ class_HOL_Oeq(X3) ),
inference(literals_permutation,[status(thm)],[c_0_3541]) ).
cnf(c_0_3541_2,axiom,
( ~ class_HOL_Oeq(X3)
| ~ c_HOL_Oeq__class_Oeq(X1,X2,X3)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3541]) ).
cnf(c_0_3542_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_3542]) ).
cnf(c_0_3542_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_3542]) ).
cnf(c_0_3542_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_3542]) ).
cnf(c_0_3543_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_3543]) ).
cnf(c_0_3543_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_3543]) ).
cnf(c_0_3544_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3544]) ).
cnf(c_0_3544_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3544]) ).
cnf(c_0_3545_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3545]) ).
cnf(c_0_3545_1,axiom,
( ~ class_Orderings_Oorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3545]) ).
cnf(c_0_3546_0,axiom,
( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3546]) ).
cnf(c_0_3546_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3546]) ).
cnf(c_0_3547_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_3547]) ).
cnf(c_0_3547_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_3547]) ).
cnf(c_0_3548_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_3548]) ).
cnf(c_0_3548_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_3548]) ).
cnf(c_0_3549_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_3549]) ).
cnf(c_0_3549_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_3549]) ).
cnf(c_0_3550_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_3550]) ).
cnf(c_0_3550_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_3550]) ).
cnf(c_0_3551_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3551]) ).
cnf(c_0_3551_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_Lattices_Olower__semilattice__class_Oinf(c_HOL_Ouminus__class_Ouminus(X1,X2),X1,X2) = c_Orderings_Obot__class_Obot(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3551]) ).
cnf(c_0_3552_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Oboolean__algebra(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3552]) ).
cnf(c_0_3552_1,axiom,
( ~ class_Lattices_Oboolean__algebra(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_HOL_Ouminus__class_Ouminus(X1,X2),X2) = c_Orderings_Obot__class_Obot(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3552]) ).
cnf(c_0_3553_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_3553]) ).
cnf(c_0_3553_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_3553]) ).
cnf(c_0_3553_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_3553]) ).
cnf(c_0_3553_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_3553]) ).
cnf(c_0_3554_0,axiom,
( c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3554]) ).
cnf(c_0_3554_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_Polynomial_Opcompose(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3554]) ).
cnf(c_0_3555_0,axiom,
( c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3555]) ).
cnf(c_0_3555_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_Polynomial_Osynthetic__div(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3555]) ).
cnf(c_0_3556_0,axiom,
( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Oidom(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3556]) ).
cnf(c_0_3556_1,axiom,
( ~ class_Ring__and__Field_Oidom(X2)
| c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3556]) ).
cnf(c_0_3557_0,axiom,
( c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3557]) ).
cnf(c_0_3557_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X2)
| c_Polynomial_Osmult(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X2) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3557]) ).
cnf(c_0_3558_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_3558]) ).
cnf(c_0_3558_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_3558]) ).
cnf(c_0_3559_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_3559]) ).
cnf(c_0_3559_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_3559]) ).
cnf(c_0_3560_0,axiom,
( c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1)) = X2
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3560]) ).
cnf(c_0_3560_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| c_HOL_Oplus__class_Oplus(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,tc_Polynomial_Opoly(X1)) = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3560]) ).
cnf(c_0_3561_0,axiom,
( c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)) = X1
| ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3561]) ).
cnf(c_0_3561_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X2)
| c_HOL_Oplus__class_Oplus(X1,c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),tc_Polynomial_Opoly(X2)) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3561]) ).
cnf(c_0_3562_0,axiom,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3562]) ).
cnf(c_0_3562_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3562]) ).
cnf(c_0_3563_0,axiom,
( c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1)
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3563]) ).
cnf(c_0_3563_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_Polynomial_Opoly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,X1) = c_HOL_Ozero__class_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3563]) ).
cnf(c_0_3564_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_3564]) ).
cnf(c_0_3564_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_3564]) ).
cnf(c_0_3564_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_3564]) ).
cnf(c_0_3565_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_3565]) ).
cnf(c_0_3565_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_3565]) ).
cnf(c_0_3566_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_3566]) ).
cnf(c_0_3566_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_3566]) ).
cnf(c_0_3567_0,axiom,
( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3567]) ).
cnf(c_0_3567_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3567]) ).
cnf(c_0_3568_0,axiom,
( c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3568]) ).
cnf(c_0_3568_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| c_Polynomial_Osmult(c_HOL_Ozero__class_Ozero(X1),X2,X1) = c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3568]) ).
cnf(c_0_3569_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_3569]) ).
cnf(c_0_3569_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_3569]) ).
cnf(c_0_3569_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_3569]) ).
cnf(c_0_3570_0,axiom,
( c_HOL_Oeq__class_Oeq(X1,X1,tc_Polynomial_Opoly(X2))
| ~ class_HOL_Oeq(X2)
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3570]) ).
cnf(c_0_3570_1,axiom,
( ~ class_HOL_Oeq(X2)
| c_HOL_Oeq__class_Oeq(X1,X1,tc_Polynomial_Opoly(X2))
| ~ class_HOL_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3570]) ).
cnf(c_0_3570_2,axiom,
( ~ class_HOL_Ozero(X2)
| ~ class_HOL_Oeq(X2)
| c_HOL_Oeq__class_Oeq(X1,X1,tc_Polynomial_Opoly(X2)) ),
inference(literals_permutation,[status(thm)],[c_0_3570]) ).
cnf(c_0_3571_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_3571]) ).
cnf(c_0_3571_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_3571]) ).
cnf(c_0_3571_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_3571]) ).
cnf(c_0_3572_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2)
| ~ class_Lattices_Obounded__lattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3572]) ).
cnf(c_0_3572_1,axiom,
( ~ class_Lattices_Obounded__lattice(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,c_Orderings_Obot__class_Obot(X2),X2) = c_Orderings_Obot__class_Obot(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3572]) ).
cnf(c_0_3573_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1)
| ~ class_Lattices_Obounded__lattice(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3573]) ).
cnf(c_0_3573_1,axiom,
( ~ class_Lattices_Obounded__lattice(X1)
| c_Lattices_Olower__semilattice__class_Oinf(c_Orderings_Obot__class_Obot(X1),X2,X1) = c_Orderings_Obot__class_Obot(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3573]) ).
cnf(c_0_3574_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_3574]) ).
cnf(c_0_3574_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_3574]) ).
cnf(c_0_3575_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_3575]) ).
cnf(c_0_3575_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_3575]) ).
cnf(c_0_3576_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_3576]) ).
cnf(c_0_3576_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_3576]) ).
cnf(c_0_3577_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_3577]) ).
cnf(c_0_3577_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_3577]) ).
cnf(c_0_3578_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_3578]) ).
cnf(c_0_3578_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_3578]) ).
cnf(c_0_3579_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_3579]) ).
cnf(c_0_3579_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_3579]) ).
cnf(c_0_3580_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_3580]) ).
cnf(c_0_3580_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_3580]) ).
cnf(c_0_3581_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_3581]) ).
cnf(c_0_3581_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_3581]) ).
cnf(c_0_3582_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_3582]) ).
cnf(c_0_3582_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_3582]) ).
cnf(c_0_3583_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_3583]) ).
cnf(c_0_3583_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_3583]) ).
cnf(c_0_3584_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_3584]) ).
cnf(c_0_3584_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_3584]) ).
cnf(c_0_3585_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_3585]) ).
cnf(c_0_3585_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_3585]) ).
cnf(c_0_3586_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_3586]) ).
cnf(c_0_3586_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_3586]) ).
cnf(c_0_3587_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_3587]) ).
cnf(c_0_3587_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_3587]) ).
cnf(c_0_3588_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_3588]) ).
cnf(c_0_3588_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_3588]) ).
cnf(c_0_3589_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_3589]) ).
cnf(c_0_3589_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_3589]) ).
cnf(c_0_3590_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_3590]) ).
cnf(c_0_3590_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_3590]) ).
cnf(c_0_3591_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_3591]) ).
cnf(c_0_3591_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_3591]) ).
cnf(c_0_3592_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_3592]) ).
cnf(c_0_3592_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_3592]) ).
cnf(c_0_3593_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_3593]) ).
cnf(c_0_3593_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_3593]) ).
cnf(c_0_3594_0,axiom,
( c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1)
| ~ class_Orderings_Obot(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3594]) ).
cnf(c_0_3594_1,axiom,
( ~ class_Orderings_Obot(X1)
| c_lessequals(c_Orderings_Obot__class_Obot(X1),X2,X1) ),
inference(literals_permutation,[status(thm)],[c_0_3594]) ).
cnf(c_0_3595_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_3595]) ).
cnf(c_0_3595_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_3595]) ).
cnf(c_0_3596_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_3596]) ).
cnf(c_0_3596_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_3596]) ).
cnf(c_0_3597_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_3597]) ).
cnf(c_0_3597_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_3597]) ).
cnf(c_0_3598_0,axiom,
( c_Orderings_Oord__class_Omax(X1,X1,X2) = X1
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3598]) ).
cnf(c_0_3598_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_Orderings_Oord__class_Omax(X1,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3598]) ).
cnf(c_0_3599_0,axiom,
( c_Orderings_Oord__class_Omin(X1,X1,X2) = X1
| ~ class_Orderings_Olinorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3599]) ).
cnf(c_0_3599_1,axiom,
( ~ class_Orderings_Olinorder(X2)
| c_Orderings_Oord__class_Omin(X1,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3599]) ).
cnf(c_0_3600_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_3600]) ).
cnf(c_0_3600_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_3600]) ).
cnf(c_0_3601_0,axiom,
( c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1
| ~ class_Lattices_Olower__semilattice(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3601]) ).
cnf(c_0_3601_1,axiom,
( ~ class_Lattices_Olower__semilattice(X2)
| c_Lattices_Olower__semilattice__class_Oinf(X1,X1,X2) = X1 ),
inference(literals_permutation,[status(thm)],[c_0_3601]) ).
cnf(c_0_3602_0,axiom,
( c_HOL_Oeq__class_Oeq(X1,X1,X2)
| ~ class_HOL_Oeq(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3602]) ).
cnf(c_0_3602_1,axiom,
( ~ class_HOL_Oeq(X2)
| c_HOL_Oeq__class_Oeq(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3602]) ).
cnf(c_0_3603_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Oorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3603]) ).
cnf(c_0_3603_1,axiom,
( ~ class_Orderings_Oorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3603]) ).
cnf(c_0_3604_0,axiom,
( c_lessequals(X1,X1,X2)
| ~ class_Orderings_Opreorder(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3604]) ).
cnf(c_0_3604_1,axiom,
( ~ class_Orderings_Opreorder(X2)
| c_lessequals(X1,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_3604]) ).
cnf(c_0_3605_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_3605]) ).
cnf(c_0_3605_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_3605]) ).
cnf(c_0_3606_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_3606]) ).
cnf(c_0_3606_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_3606]) ).
cnf(c_0_3607_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_3607]) ).
cnf(c_0_3607_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_3607]) ).
cnf(c_0_3608_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_3608]) ).
cnf(c_0_3608_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_3608]) ).
cnf(c_0_3609_0,axiom,
( ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1)
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3609]) ).
cnf(c_0_3609_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| ~ c_Polynomial_Opos__poly(c_HOL_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X1) ),
inference(literals_permutation,[status(thm)],[c_0_3609]) ).
cnf(c_0_3610_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_3610]) ).
cnf(c_0_3610_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_3610]) ).
cnf(c_0_3610_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_3610]) ).
cnf(c_0_3611_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_3611]) ).
cnf(c_0_3611_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_3611]) ).
cnf(c_0_3611_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_3611]) ).
cnf(c_0_3612_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_3612]) ).
cnf(c_0_3612_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_3612]) ).
cnf(c_0_3613_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_3613]) ).
cnf(c_0_3613_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_3613]) ).
cnf(c_0_3614_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_3614]) ).
cnf(c_0_3614_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_3614]) ).
cnf(c_0_3615_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_3615]) ).
cnf(c_0_3615_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_3615]) ).
cnf(c_0_3616_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_3616]) ).
cnf(c_0_3616_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_3616]) ).
cnf(c_0_3617_0,axiom,
( c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_RealVector_Oreal__normed__field(X2)
| ~ class_SEQ_Obanach(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3617]) ).
cnf(c_0_3617_1,axiom,
( ~ class_RealVector_Oreal__normed__field(X2)
| c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2)
| ~ class_SEQ_Obanach(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3617]) ).
cnf(c_0_3617_2,axiom,
( ~ class_SEQ_Obanach(X2)
| ~ class_RealVector_Oreal__normed__field(X2)
| c_Transcendental_Oexp(X1,X2) != c_HOL_Ozero__class_Ozero(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3617]) ).
cnf(c_0_3618_0,axiom,
( X1 = X2
| c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal) ),
inference(literals_permutation,[status(thm)],[c_0_3618]) ).
cnf(c_0_3618_1,axiom,
( c_Transcendental_Oexp(X1,tc_RealDef_Oreal) != c_Transcendental_Oexp(X2,tc_RealDef_Oreal)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3618]) ).
cnf(c_0_3619_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_3619]) ).
cnf(c_0_3619_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_3619]) ).
cnf(c_0_3619_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_3619]) ).
cnf(c_0_3620_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_3620]) ).
cnf(c_0_3620_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_3620]) ).
cnf(c_0_3620_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_3620]) ).
cnf(c_0_3621_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_3621]) ).
cnf(c_0_3621_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_3621]) ).
cnf(c_0_3621_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_3621]) ).
cnf(c_0_3622_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_3622]) ).
cnf(c_0_3622_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_3622]) ).
cnf(c_0_3622_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_3622]) ).
cnf(c_0_3623_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_3623]) ).
cnf(c_0_3623_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_3623]) ).
cnf(c_0_3623_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_3623]) ).
cnf(c_0_3624_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_3624]) ).
cnf(c_0_3624_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_3624]) ).
cnf(c_0_3625_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_3625]) ).
cnf(c_0_3625_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_3625]) ).
cnf(c_0_3626_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_3626]) ).
cnf(c_0_3626_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_3626]) ).
cnf(c_0_3627_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_3627]) ).
cnf(c_0_3627_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_3627]) ).
cnf(c_0_3628_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_3628]) ).
cnf(c_0_3628_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_3628]) ).
cnf(c_0_3629_0,axiom,
( X1 = X2
| c_Complex_ORe(X1) != c_Complex_ORe(X2)
| c_Complex_OIm(X1) != c_Complex_OIm(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3629]) ).
cnf(c_0_3629_1,axiom,
( c_Complex_ORe(X1) != c_Complex_ORe(X2)
| X1 = X2
| c_Complex_OIm(X1) != c_Complex_OIm(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3629]) ).
cnf(c_0_3629_2,axiom,
( c_Complex_OIm(X1) != c_Complex_OIm(X2)
| c_Complex_ORe(X1) != c_Complex_ORe(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3629]) ).
cnf(c_0_3630_0,axiom,
( class_HOL_Oeq(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Oeq(X1)
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3630]) ).
cnf(c_0_3630_1,axiom,
( ~ class_HOL_Oeq(X1)
| class_HOL_Oeq(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3630]) ).
cnf(c_0_3630_2,axiom,
( ~ class_HOL_Ozero(X1)
| ~ class_HOL_Oeq(X1)
| class_HOL_Oeq(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3630]) ).
cnf(c_0_3631_0,axiom,
( class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3631]) ).
cnf(c_0_3631_1,axiom,
( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1)
| class_OrderedGroup_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3631]) ).
cnf(c_0_3632_0,axiom,
( class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3632]) ).
cnf(c_0_3632_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_Ring__and__Field_Ocomm__ring(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3632]) ).
cnf(c_0_3633_0,axiom,
( class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3633]) ).
cnf(c_0_3633_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Ring__and__Field_Ocomm__ring__1(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3633]) ).
cnf(c_0_3634_0,axiom,
( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3634]) ).
cnf(c_0_3634_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3634]) ).
cnf(c_0_3635_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3635]) ).
cnf(c_0_3635_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3635]) ).
cnf(c_0_3636_0,axiom,
( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3636]) ).
cnf(c_0_3636_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__comm__semiring__strict(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3636]) ).
cnf(c_0_3637_0,axiom,
( class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3637]) ).
cnf(c_0_3637_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__cancel__semiring(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3637]) ).
cnf(c_0_3638_0,axiom,
( class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3638]) ).
cnf(c_0_3638_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3638]) ).
cnf(c_0_3639_0,axiom,
( class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3639]) ).
cnf(c_0_3639_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__semiring__strict(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3639]) ).
cnf(c_0_3640_0,axiom,
( class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3640]) ).
cnf(c_0_3640_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__semigroup__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3640]) ).
cnf(c_0_3641_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3641]) ).
cnf(c_0_3641_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__group__add__abs(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3641]) ).
cnf(c_0_3642_0,axiom,
( class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3642]) ).
cnf(c_0_3642_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__comm__monoid__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3642]) ).
cnf(c_0_3643_0,axiom,
( class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3643]) ).
cnf(c_0_3643_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3643]) ).
cnf(c_0_3644_0,axiom,
( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3644]) ).
cnf(c_0_3644_1,axiom,
( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1)
| class_OrderedGroup_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3644]) ).
cnf(c_0_3645_0,axiom,
( class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3645]) ).
cnf(c_0_3645_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__ring__strict(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3645]) ).
cnf(c_0_3646_0,axiom,
( class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3646]) ).
cnf(c_0_3646_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Opordered__ab__group__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3646]) ).
cnf(c_0_3647_0,axiom,
( class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3647]) ).
cnf(c_0_3647_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_OrderedGroup_Oordered__ab__group__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3647]) ).
cnf(c_0_3648_0,axiom,
( class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3648]) ).
cnf(c_0_3648_1,axiom,
( ~ class_OrderedGroup_Ocancel__comm__monoid__add(X1)
| class_OrderedGroup_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3648]) ).
cnf(c_0_3649_0,axiom,
( class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3649]) ).
cnf(c_0_3649_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__semiring(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3649]) ).
cnf(c_0_3650_0,axiom,
( class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3650]) ).
cnf(c_0_3650_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__ring__abs(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3650]) ).
cnf(c_0_3651_0,axiom,
( class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3651]) ).
cnf(c_0_3651_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__semiring(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3651]) ).
cnf(c_0_3652_0,axiom,
( class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3652]) ).
cnf(c_0_3652_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Ono__zero__divisors(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3652]) ).
cnf(c_0_3653_0,axiom,
( class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3653]) ).
cnf(c_0_3653_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__semidom(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3653]) ).
cnf(c_0_3654_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3654]) ).
cnf(c_0_3654_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ocomm__semiring__1(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3654]) ).
cnf(c_0_3655_0,axiom,
( class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3655]) ).
cnf(c_0_3655_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_Ring__and__Field_Ocomm__semiring__0(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3655]) ).
cnf(c_0_3656_0,axiom,
( class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3656]) ).
cnf(c_0_3656_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_OrderedGroup_Oab__semigroup__mult(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3656]) ).
cnf(c_0_3657_0,axiom,
( class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3657]) ).
cnf(c_0_3657_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_OrderedGroup_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3657]) ).
cnf(c_0_3658_0,axiom,
( class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3658]) ).
cnf(c_0_3658_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Oab__semigroup__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3658]) ).
cnf(c_0_3659_0,axiom,
( class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3659]) ).
cnf(c_0_3659_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Opordered__ring(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3659]) ).
cnf(c_0_3660_0,axiom,
( class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3660]) ).
cnf(c_0_3660_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_Ring__and__Field_Ocomm__semiring(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3660]) ).
cnf(c_0_3661_0,axiom,
( class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3661]) ).
cnf(c_0_3661_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Ocomm__monoid__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3661]) ).
cnf(c_0_3662_0,axiom,
( class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3662]) ).
cnf(c_0_3662_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Ring__and__Field_Ozero__neq__one(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3662]) ).
cnf(c_0_3663_0,axiom,
( class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3663]) ).
cnf(c_0_3663_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oordered__idom(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3663]) ).
cnf(c_0_3664_0,axiom,
( class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3664]) ).
cnf(c_0_3664_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Omult__mono1(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3664]) ).
cnf(c_0_3665_0,axiom,
( class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3665]) ).
cnf(c_0_3665_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Oab__group__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3665]) ).
cnf(c_0_3666_0,axiom,
( class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3666]) ).
cnf(c_0_3666_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_Ring__and__Field_Omult__zero(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3666]) ).
cnf(c_0_3667_0,axiom,
( class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3667]) ).
cnf(c_0_3667_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Omult__mono(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3667]) ).
cnf(c_0_3668_0,axiom,
( class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3668]) ).
cnf(c_0_3668_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_OrderedGroup_Omonoid__mult(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3668]) ).
cnf(c_0_3669_0,axiom,
( class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__0(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3669]) ).
cnf(c_0_3669_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__0(X1)
| class_Ring__and__Field_Osemiring(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3669]) ).
cnf(c_0_3670_0,axiom,
( class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3670]) ).
cnf(c_0_3670_1,axiom,
( ~ class_OrderedGroup_Ocomm__monoid__add(X1)
| class_OrderedGroup_Omonoid__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3670]) ).
cnf(c_0_3671_0,axiom,
( class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1))
| ~ class_OrderedGroup_Oab__group__add(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3671]) ).
cnf(c_0_3671_1,axiom,
( ~ class_OrderedGroup_Oab__group__add(X1)
| class_OrderedGroup_Ogroup__add(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3671]) ).
cnf(c_0_3672_0,axiom,
( class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3672]) ).
cnf(c_0_3672_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Ring__and__Field_Oabs__if(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3672]) ).
cnf(c_0_3673_0,axiom,
( class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3673]) ).
cnf(c_0_3673_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring(X1)
| class_Ring__and__Field_Oring(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3673]) ).
cnf(c_0_3674_0,axiom,
( class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oidom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3674]) ).
cnf(c_0_3674_1,axiom,
( ~ class_Ring__and__Field_Oidom(X1)
| class_Ring__and__Field_Oidom(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3674]) ).
cnf(c_0_3675_0,axiom,
( class_Orderings_Opreorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3675]) ).
cnf(c_0_3675_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Opreorder(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3675]) ).
cnf(c_0_3676_0,axiom,
( class_Orderings_Olinorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3676]) ).
cnf(c_0_3676_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Olinorder(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3676]) ).
cnf(c_0_3677_0,axiom,
( class_Orderings_Oorder(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Oordered__idom(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3677]) ).
cnf(c_0_3677_1,axiom,
( ~ class_Ring__and__Field_Oordered__idom(X1)
| class_Orderings_Oorder(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3677]) ).
cnf(c_0_3678_0,axiom,
( class_Int_Onumber__ring(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3678]) ).
cnf(c_0_3678_1,axiom,
( ~ class_Ring__and__Field_Ocomm__ring__1(X1)
| class_Int_Onumber__ring(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3678]) ).
cnf(c_0_3679_0,axiom,
( class_Power_Opower(tc_Polynomial_Opoly(X1))
| ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3679]) ).
cnf(c_0_3679_1,axiom,
( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
| class_Power_Opower(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3679]) ).
cnf(c_0_3680_0,axiom,
( class_HOL_Ozero(tc_Polynomial_Opoly(X1))
| ~ class_HOL_Ozero(X1) ),
inference(literals_permutation,[status(thm)],[c_0_3680]) ).
cnf(c_0_3680_1,axiom,
( ~ class_HOL_Ozero(X1)
| class_HOL_Ozero(tc_Polynomial_Opoly(X1)) ),
inference(literals_permutation,[status(thm)],[c_0_3680]) ).
cnf(c_0_3681_0,axiom,
( X1 = X2
| c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3681]) ).
cnf(c_0_3681_1,axiom,
( c_NthRoot_Osqrt(X1) != c_NthRoot_Osqrt(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3681]) ).
cnf(c_0_3682_0,axiom,
( X1 = X2
| c_Complex_Ocnj(X1) != c_Complex_Ocnj(X2) ),
inference(literals_permutation,[status(thm)],[c_0_3682]) ).
cnf(c_0_3682_1,axiom,
( c_Complex_Ocnj(X1) != c_Complex_Ocnj(X2)
| X1 = X2 ),
inference(literals_permutation,[status(thm)],[c_0_3682]) ).
cnf(c_0_3683_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_3683]) ).
cnf(c_0_3683_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_3683]) ).
cnf(c_0_3684_0,axiom,
( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| c_Complex_Ocnj(X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(literals_permutation,[status(thm)],[c_0_3684]) ).
cnf(c_0_3684_1,axiom,
( c_Complex_Ocnj(X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
| X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
inference(literals_permutation,[status(thm)],[c_0_3684]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_731,negated_conjecture,
! [X1] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('<stdin>',cls_conjecture_0) ).
fof(c_0_1_732,negated_conjecture,
! [X1] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(fof_simplification,[status(thm)],[c_0_0]) ).
fof(c_0_2_733,negated_conjecture,
! [X2] : ~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X2,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X2),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(variable_rename,[status(thm)],[c_0_1]) ).
cnf(c_0_3_734,negated_conjecture,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_735,negated_conjecture,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X1,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X1),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_2216,negated_conjecture,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
file('/export/starexec/sandbox/tmp/iprover_modulo_e75a5a.p',c_0_4) ).
cnf(c_2733,negated_conjecture,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(copy,[status(esa)],[c_2216]) ).
cnf(c_2737,negated_conjecture,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(copy,[status(esa)],[c_2733]) ).
cnf(c_2738,negated_conjecture,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(copy,[status(esa)],[c_2737]) ).
cnf(c_2739,negated_conjecture,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(copy,[status(esa)],[c_2738]) ).
cnf(c_9364,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),hAPP(v_x,X0),tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(copy,[status(esa)],[c_2739]) ).
cnf(c_36,plain,
( ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e75a5a.p',c_0_2962_0) ).
cnf(c_5029,plain,
( ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_36]) ).
cnf(c_5030,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(rewriting,[status(thm)],[c_5029]) ).
cnf(c_9368,plain,
~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c_9364,c_5030]) ).
cnf(c_9371,plain,
~ c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),tc_RealDef_Oreal),
inference(rewriting,[status(thm)],[c_9368]) ).
cnf(c_1432,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e75a5a.p',c_0_3417_0) ).
cnf(c_7821,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(v_r____,c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_1432]) ).
cnf(c_9460,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c_9371,c_7821]) ).
cnf(c_9461,plain,
c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rewriting,[status(thm)],[c_9460]) ).
cnf(c_30,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
file('/export/starexec/sandbox/tmp/iprover_modulo_e75a5a.p',c_0_2959_0) ).
cnf(c_5017,plain,
( ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal)
| c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal) ),
inference(copy,[status(esa)],[c_30]) ).
cnf(c_5018,plain,
( c_lessequals(c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),v_v____,tc_Complex_Ocomplex),tc_Complex_Ocomplex),c_RealVector_Onorm__class_Onorm(c_Polynomial_Opoly(c_Polynomial_OpCons(v_c____,v_cs____,tc_Complex_Ocomplex),X0,tc_Complex_Ocomplex),tc_Complex_Ocomplex),tc_RealDef_Oreal)
| ~ c_lessequals(c_RealVector_Onorm__class_Onorm(X0,tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
inference(rewriting,[status(thm)],[c_5017]) ).
cnf(c_9369,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(resolution,[status(thm)],[c_9364,c_5018]) ).
cnf(c_9370,plain,
~ c_lessequals(c_RealVector_Onorm__class_Onorm(hAPP(v_x,v_v____),tc_Complex_Ocomplex),c_HOL_Oabs__class_Oabs(v_r____,tc_RealDef_Oreal),tc_RealDef_Oreal),
inference(rewriting,[status(thm)],[c_9369]) ).
cnf(c_11807,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_9461,c_9370]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG387-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.12 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n025.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 13:42:34 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.19/0.54 % Orienting using strategy Equiv(ClausalAll)
% 0.19/0.54 % Orientation found
% 0.19/0.54 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3ca18.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_e75a5a.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_a80efb | grep -v "SZS"
% 0.19/0.56
% 0.19/0.56 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.19/0.56
% 0.19/0.56 %
% 0.19/0.56 % ------ iProver source info
% 0.19/0.56
% 0.19/0.56 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.19/0.56 % git: non_committed_changes: true
% 0.19/0.56 % git: last_make_outside_of_git: true
% 0.19/0.56
% 0.19/0.56 %
% 0.19/0.56 % ------ Input Options
% 0.19/0.56
% 0.19/0.56 % --out_options all
% 0.19/0.56 % --tptp_safe_out true
% 0.19/0.56 % --problem_path ""
% 0.19/0.56 % --include_path ""
% 0.19/0.56 % --clausifier .//eprover
% 0.19/0.56 % --clausifier_options --tstp-format
% 0.19/0.56 % --stdin false
% 0.19/0.56 % --dbg_backtrace false
% 0.19/0.56 % --dbg_dump_prop_clauses false
% 0.19/0.56 % --dbg_dump_prop_clauses_file -
% 0.19/0.56 % --dbg_out_stat false
% 0.19/0.56
% 0.19/0.56 % ------ General Options
% 0.19/0.56
% 0.19/0.56 % --fof false
% 0.19/0.56 % --time_out_real 150.
% 0.19/0.56 % --time_out_prep_mult 0.2
% 0.19/0.56 % --time_out_virtual -1.
% 0.19/0.56 % --schedule none
% 0.19/0.56 % --ground_splitting input
% 0.19/0.56 % --splitting_nvd 16
% 0.19/0.56 % --non_eq_to_eq false
% 0.19/0.56 % --prep_gs_sim true
% 0.19/0.56 % --prep_unflatten false
% 0.19/0.56 % --prep_res_sim true
% 0.19/0.56 % --prep_upred true
% 0.19/0.56 % --res_sim_input true
% 0.19/0.56 % --clause_weak_htbl true
% 0.19/0.56 % --gc_record_bc_elim false
% 0.19/0.56 % --symbol_type_check false
% 0.19/0.56 % --clausify_out false
% 0.19/0.56 % --large_theory_mode false
% 0.19/0.56 % --prep_sem_filter none
% 0.19/0.56 % --prep_sem_filter_out false
% 0.19/0.56 % --preprocessed_out false
% 0.19/0.56 % --sub_typing false
% 0.19/0.56 % --brand_transform false
% 0.19/0.56 % --pure_diseq_elim true
% 0.19/0.56 % --min_unsat_core false
% 0.19/0.56 % --pred_elim true
% 0.19/0.56 % --add_important_lit false
% 0.19/0.56 % --soft_assumptions false
% 0.19/0.56 % --reset_solvers false
% 0.19/0.56 % --bc_imp_inh []
% 0.19/0.56 % --conj_cone_tolerance 1.5
% 0.19/0.56 % --prolific_symb_bound 500
% 0.19/0.56 % --lt_threshold 2000
% 0.19/0.56
% 0.19/0.56 % ------ SAT Options
% 0.19/0.56
% 0.19/0.56 % --sat_mode false
% 0.19/0.56 % --sat_fm_restart_options ""
% 0.19/0.56 % --sat_gr_def false
% 0.19/0.56 % --sat_epr_types true
% 0.19/0.56 % --sat_non_cyclic_types false
% 0.19/0.56 % --sat_finite_models false
% 0.19/0.56 % --sat_fm_lemmas false
% 0.19/0.56 % --sat_fm_prep false
% 0.19/0.56 % --sat_fm_uc_incr true
% 0.19/0.56 % --sat_out_model small
% 0.19/0.56 % --sat_out_clauses false
% 0.19/0.56
% 0.19/0.56 % ------ QBF Options
% 0.19/0.56
% 0.19/0.56 % --qbf_mode false
% 0.19/0.56 % --qbf_elim_univ true
% 0.19/0.56 % --qbf_sk_in true
% 0.19/0.56 % --qbf_pred_elim true
% 0.19/0.56 % --qbf_split 32
% 0.19/0.56
% 0.19/0.56 % ------ BMC1 Options
% 0.19/0.56
% 0.19/0.56 % --bmc1_incremental false
% 0.19/0.56 % --bmc1_axioms reachable_all
% 0.19/0.56 % --bmc1_min_bound 0
% 0.19/0.56 % --bmc1_max_bound -1
% 0.19/0.56 % --bmc1_max_bound_default -1
% 0.19/0.56 % --bmc1_symbol_reachability true
% 0.19/0.56 % --bmc1_property_lemmas false
% 0.19/0.56 % --bmc1_k_induction false
% 0.19/0.56 % --bmc1_non_equiv_states false
% 0.19/0.56 % --bmc1_deadlock false
% 0.19/0.56 % --bmc1_ucm false
% 0.19/0.56 % --bmc1_add_unsat_core none
% 0.19/0.56 % --bmc1_unsat_core_children false
% 0.19/0.56 % --bmc1_unsat_core_extrapolate_axioms false
% 0.19/0.56 % --bmc1_out_stat full
% 0.19/0.56 % --bmc1_ground_init false
% 0.19/0.56 % --bmc1_pre_inst_next_state false
% 0.19/0.56 % --bmc1_pre_inst_state false
% 0.19/0.56 % --bmc1_pre_inst_reach_state false
% 0.19/0.56 % --bmc1_out_unsat_core false
% 0.19/0.56 % --bmc1_aig_witness_out false
% 0.19/0.56 % --bmc1_verbose false
% 0.19/0.56 % --bmc1_dump_clauses_tptp false
% 1.87/2.10 % --bmc1_dump_unsat_core_tptp false
% 1.87/2.10 % --bmc1_dump_file -
% 1.87/2.10 % --bmc1_ucm_expand_uc_limit 128
% 1.87/2.10 % --bmc1_ucm_n_expand_iterations 6
% 1.87/2.10 % --bmc1_ucm_extend_mode 1
% 1.87/2.10 % --bmc1_ucm_init_mode 2
% 1.87/2.10 % --bmc1_ucm_cone_mode none
% 1.87/2.10 % --bmc1_ucm_reduced_relation_type 0
% 1.87/2.10 % --bmc1_ucm_relax_model 4
% 1.87/2.10 % --bmc1_ucm_full_tr_after_sat true
% 1.87/2.10 % --bmc1_ucm_expand_neg_assumptions false
% 1.87/2.10 % --bmc1_ucm_layered_model none
% 1.87/2.10 % --bmc1_ucm_max_lemma_size 10
% 1.87/2.10
% 1.87/2.10 % ------ AIG Options
% 1.87/2.10
% 1.87/2.10 % --aig_mode false
% 1.87/2.10
% 1.87/2.10 % ------ Instantiation Options
% 1.87/2.10
% 1.87/2.10 % --instantiation_flag true
% 1.87/2.10 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 1.87/2.10 % --inst_solver_per_active 750
% 1.87/2.10 % --inst_solver_calls_frac 0.5
% 1.87/2.10 % --inst_passive_queue_type priority_queues
% 1.87/2.10 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.87/2.10 % --inst_passive_queues_freq [25;2]
% 1.87/2.10 % --inst_dismatching true
% 1.87/2.10 % --inst_eager_unprocessed_to_passive true
% 1.87/2.10 % --inst_prop_sim_given true
% 1.87/2.10 % --inst_prop_sim_new false
% 1.87/2.10 % --inst_orphan_elimination true
% 1.87/2.10 % --inst_learning_loop_flag true
% 1.87/2.10 % --inst_learning_start 3000
% 1.87/2.10 % --inst_learning_factor 2
% 1.87/2.10 % --inst_start_prop_sim_after_learn 3
% 1.87/2.10 % --inst_sel_renew solver
% 1.87/2.10 % --inst_lit_activity_flag true
% 1.87/2.10 % --inst_out_proof true
% 1.87/2.10
% 1.87/2.10 % ------ Resolution Options
% 1.87/2.10
% 1.87/2.10 % --resolution_flag true
% 1.87/2.10 % --res_lit_sel kbo_max
% 1.87/2.10 % --res_to_prop_solver none
% 1.87/2.10 % --res_prop_simpl_new false
% 1.87/2.10 % --res_prop_simpl_given false
% 1.87/2.10 % --res_passive_queue_type priority_queues
% 1.87/2.10 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.87/2.10 % --res_passive_queues_freq [15;5]
% 1.87/2.10 % --res_forward_subs full
% 1.87/2.10 % --res_backward_subs full
% 1.87/2.10 % --res_forward_subs_resolution true
% 1.87/2.10 % --res_backward_subs_resolution true
% 1.87/2.10 % --res_orphan_elimination false
% 1.87/2.10 % --res_time_limit 1000.
% 1.87/2.10 % --res_out_proof true
% 1.87/2.10 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3ca18.s
% 1.87/2.10 % --modulo true
% 1.87/2.10
% 1.87/2.10 % ------ Combination Options
% 1.87/2.10
% 1.87/2.10 % --comb_res_mult 1000
% 1.87/2.10 % --comb_inst_mult 300
% 1.87/2.10 % ------
% 1.87/2.10
% 1.87/2.10 % ------ Parsing...% successful
% 1.87/2.10
% 1.87/2.10 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 1.87/2.10
% 1.87/2.10 % ------ Proving...
% 1.87/2.10 % ------ Problem Properties
% 1.87/2.10
% 1.87/2.10 %
% 1.87/2.10 % EPR false
% 1.87/2.10 % Horn false
% 1.87/2.10 % Has equality true
% 1.87/2.10
% 1.87/2.10 % % ------ Input Options Time Limit: Unbounded
% 1.87/2.10
% 1.87/2.10
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 Compiling...
% 1.87/2.10 Loading plugin: done.
% 1.87/2.10 % % ------ Current options:
% 1.87/2.10
% 1.87/2.10 % ------ Input Options
% 1.87/2.10
% 1.87/2.10 % --out_options all
% 1.87/2.10 % --tptp_safe_out true
% 1.87/2.10 % --problem_path ""
% 1.87/2.10 % --include_path ""
% 1.87/2.10 % --clausifier .//eprover
% 1.87/2.10 % --clausifier_options --tstp-format
% 1.87/2.10 % --stdin false
% 1.87/2.10 % --dbg_backtrace false
% 1.87/2.10 % --dbg_dump_prop_clauses false
% 1.87/2.10 % --dbg_dump_prop_clauses_file -
% 1.87/2.10 % --dbg_out_stat false
% 1.87/2.10
% 1.87/2.10 % ------ General Options
% 1.87/2.10
% 1.87/2.10 % --fof false
% 1.87/2.10 % --time_out_real 150.
% 1.87/2.10 % --time_out_prep_mult 0.2
% 1.87/2.10 % --time_out_virtual -1.
% 1.87/2.10 % --schedule none
% 1.87/2.10 % --ground_splitting input
% 1.87/2.10 % --splitting_nvd 16
% 1.87/2.10 % --non_eq_to_eq false
% 1.87/2.10 % --prep_gs_sim true
% 1.87/2.10 % --prep_unflatten false
% 1.87/2.10 % --prep_res_sim true
% 1.87/2.10 % --prep_upred true
% 1.87/2.10 % --res_sim_input true
% 1.87/2.10 % --clause_weak_htbl true
% 1.87/2.10 % --gc_record_bc_elim false
% 1.87/2.10 % --symbol_type_check false
% 1.87/2.10 % --clausify_out false
% 1.87/2.10 % --large_theory_mode false
% 1.87/2.10 % --prep_sem_filter none
% 1.87/2.10 % --prep_sem_filter_out false
% 1.87/2.10 % --preprocessed_out false
% 1.87/2.10 % --sub_typing false
% 1.87/2.10 % --brand_transform false
% 1.87/2.10 % --pure_diseq_elim true
% 1.87/2.10 % --min_unsat_core false
% 1.87/2.10 % --pred_elim true
% 1.87/2.10 % --add_important_lit false
% 1.87/2.10 % --soft_assumptions false
% 1.87/2.10 % --reset_solvers false
% 1.87/2.10 % --bc_imp_inh []
% 1.87/2.10 % --conj_cone_tolerance 1.5
% 1.87/2.10 % --prolific_symb_bound 500
% 1.87/2.10 % --lt_threshold 2000
% 1.87/2.10
% 1.87/2.10 % ------ SAT Options
% 1.87/2.10
% 1.87/2.10 % --sat_mode false
% 1.87/2.10 % --sat_fm_restart_options ""
% 1.87/2.10 % --sat_gr_def false
% 1.87/2.10 % --sat_epr_types true
% 1.87/2.10 % --sat_non_cyclic_types false
% 1.87/2.10 % --sat_finite_models false
% 1.87/2.10 % --sat_fm_lemmas false
% 1.87/2.10 % --sat_fm_prep false
% 1.87/2.10 % --sat_fm_uc_incr true
% 1.87/2.10 % --sat_out_model small
% 1.87/2.10 % --sat_out_clauses false
% 1.87/2.10
% 1.87/2.10 % ------ QBF Options
% 1.87/2.10
% 1.87/2.10 % --qbf_mode false
% 1.87/2.10 % --qbf_elim_univ true
% 1.87/2.10 % --qbf_sk_in true
% 1.87/2.10 % --qbf_pred_elim true
% 1.87/2.10 % --qbf_split 32
% 1.87/2.10
% 1.87/2.10 % ------ BMC1 Options
% 1.87/2.10
% 1.87/2.10 % --bmc1_incremental false
% 1.87/2.10 % --bmc1_axioms reachable_all
% 1.87/2.10 % --bmc1_min_bound 0
% 1.87/2.10 % --bmc1_max_bound -1
% 1.87/2.10 % --bmc1_max_bound_default -1
% 1.87/2.10 % --bmc1_symbol_reachability true
% 1.87/2.10 % --bmc1_property_lemmas false
% 1.87/2.10 % --bmc1_k_induction false
% 1.87/2.10 % --bmc1_non_equiv_states false
% 1.87/2.10 % --bmc1_deadlock false
% 1.87/2.10 % --bmc1_ucm false
% 1.87/2.10 % --bmc1_add_unsat_core none
% 1.87/2.10 % --bmc1_unsat_core_children false
% 1.87/2.10 % --bmc1_unsat_core_extrapolate_axioms false
% 1.87/2.10 % --bmc1_out_stat full
% 1.87/2.10 % --bmc1_ground_init false
% 1.87/2.10 % --bmc1_pre_inst_next_state false
% 1.87/2.10 % --bmc1_pre_inst_state false
% 1.87/2.10 % --bmc1_pre_inst_reach_state false
% 1.87/2.10 % --bmc1_out_unsat_core false
% 1.87/2.10 % --bmc1_aig_witness_out false
% 1.87/2.10 % --bmc1_verbose false
% 1.87/2.10 % --bmc1_dump_clauses_tptp false
% 1.87/2.10 % --bmc1_dump_unsat_core_tptp false
% 1.87/2.10 % --bmc1_dump_file -
% 1.87/2.10 % --bmc1_ucm_expand_uc_limit 128
% 1.87/2.10 % --bmc1_ucm_n_expand_iterations 6
% 1.87/2.10 % --bmc1_ucm_extend_mode 1
% 1.87/2.10 % --bmc1_ucm_init_mode 2
% 1.87/2.10 % --bmc1_ucm_cone_mode none
% 1.87/2.10 % --bmc1_ucm_reduced_relation_type 0
% 1.87/2.10 % --bmc1_ucm_relax_model 4
% 1.87/2.10 % --bmc1_ucm_full_tr_after_sat true
% 1.87/2.10 % --bmc1_ucm_expand_neg_assumptions false
% 1.87/2.10 % --bmc1_ucm_layered_model none
% 1.87/2.10 % --bmc1_ucm_max_lemma_size 10
% 1.87/2.10
% 1.87/2.10 % ------ AIG Options
% 1.87/2.10
% 1.87/2.10 % --aig_mode false
% 1.87/2.10
% 1.87/2.10 % ------ Instantiation Options
% 1.87/2.10
% 1.87/2.10 % --instantiation_flag true
% 1.87/2.10 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 2.08/2.30 % --inst_solver_per_active 750
% 2.08/2.30 % --inst_solver_calls_frac 0.5
% 2.08/2.30 % --inst_passive_queue_type priority_queues
% 2.08/2.30 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 2.08/2.30 % --inst_passive_queues_freq [25;2]
% 2.08/2.30 % --inst_dismatching true
% 2.08/2.30 % --inst_eager_unprocessed_to_passive true
% 2.08/2.30 % --inst_prop_sim_given true
% 2.08/2.30 % --inst_prop_sim_new false
% 2.08/2.30 % --inst_orphan_elimination true
% 2.08/2.30 % --inst_learning_loop_flag true
% 2.08/2.30 % --inst_learning_start 3000
% 2.08/2.30 % --inst_learning_factor 2
% 2.08/2.30 % --inst_start_prop_sim_after_learn 3
% 2.08/2.30 % --inst_sel_renew solver
% 2.08/2.30 % --inst_lit_activity_flag true
% 2.08/2.30 % --inst_out_proof true
% 2.08/2.30
% 2.08/2.30 % ------ Resolution Options
% 2.08/2.30
% 2.08/2.30 % --resolution_flag true
% 2.08/2.30 % --res_lit_sel kbo_max
% 2.08/2.30 % --res_to_prop_solver none
% 2.08/2.30 % --res_prop_simpl_new false
% 2.08/2.30 % --res_prop_simpl_given false
% 2.08/2.30 % --res_passive_queue_type priority_queues
% 2.08/2.30 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 2.08/2.30 % --res_passive_queues_freq [15;5]
% 2.08/2.30 % --res_forward_subs full
% 2.08/2.30 % --res_backward_subs full
% 2.08/2.30 % --res_forward_subs_resolution true
% 2.08/2.30 % --res_backward_subs_resolution true
% 2.08/2.30 % --res_orphan_elimination false
% 2.08/2.30 % --res_time_limit 1000.
% 2.08/2.30 % --res_out_proof true
% 2.08/2.30 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_d3ca18.s
% 2.08/2.30 % --modulo true
% 2.08/2.30
% 2.08/2.30 % ------ Combination Options
% 2.08/2.30
% 2.08/2.30 % --comb_res_mult 1000
% 2.08/2.30 % --comb_inst_mult 300
% 2.08/2.30 % ------
% 2.08/2.30
% 2.08/2.30
% 2.08/2.30
% 2.08/2.30 % ------ Proving...
% 2.08/2.30 %
% 2.08/2.30
% 2.08/2.30
% 2.08/2.30 % Resolution empty clause
% 2.08/2.30
% 2.08/2.30 % ------ Statistics
% 2.08/2.30
% 2.08/2.30 % ------ General
% 2.08/2.30
% 2.08/2.30 % num_of_input_clauses: 2217
% 2.08/2.30 % num_of_input_neg_conjectures: 1
% 2.08/2.30 % num_of_splits: 0
% 2.08/2.30 % num_of_split_atoms: 0
% 2.08/2.30 % num_of_sem_filtered_clauses: 0
% 2.08/2.30 % num_of_subtypes: 0
% 2.08/2.30 % monotx_restored_types: 0
% 2.08/2.30 % sat_num_of_epr_types: 0
% 2.08/2.30 % sat_num_of_non_cyclic_types: 0
% 2.08/2.30 % sat_guarded_non_collapsed_types: 0
% 2.08/2.30 % is_epr: 0
% 2.08/2.30 % is_horn: 0
% 2.08/2.30 % has_eq: 1
% 2.08/2.30 % num_pure_diseq_elim: 0
% 2.08/2.30 % simp_replaced_by: 0
% 2.08/2.30 % res_preprocessed: 2
% 2.08/2.30 % prep_upred: 0
% 2.08/2.30 % prep_unflattend: 0
% 2.08/2.30 % pred_elim_cands: 0
% 2.08/2.30 % pred_elim: 0
% 2.08/2.30 % pred_elim_cl: 0
% 2.08/2.30 % pred_elim_cycles: 0
% 2.08/2.30 % forced_gc_time: 0
% 2.08/2.30 % gc_basic_clause_elim: 0
% 2.08/2.30 % parsing_time: 0.099
% 2.08/2.30 % sem_filter_time: 0.
% 2.08/2.30 % pred_elim_time: 0.
% 2.08/2.30 % out_proof_time: 0.
% 2.08/2.30 % monotx_time: 0.
% 2.08/2.30 % subtype_inf_time: 0.
% 2.08/2.30 % unif_index_cands_time: 0.002
% 2.08/2.30 % unif_index_add_time: 0.001
% 2.08/2.30 % total_time: 1.757
% 2.08/2.30 % num_of_symbols: 135
% 2.08/2.30 % num_of_terms: 8689
% 2.08/2.30
% 2.08/2.30 % ------ Propositional Solver
% 2.08/2.30
% 2.08/2.30 % prop_solver_calls: 1
% 2.08/2.30 % prop_fast_solver_calls: 3
% 2.08/2.30 % prop_num_of_clauses: 2003
% 2.08/2.30 % prop_preprocess_simplified: 6669
% 2.08/2.30 % prop_fo_subsumed: 0
% 2.08/2.30 % prop_solver_time: 0.
% 2.08/2.30 % prop_fast_solver_time: 0.
% 2.08/2.30 % prop_unsat_core_time: 0.
% 2.08/2.30
% 2.08/2.30 % ------ QBF
% 2.08/2.30
% 2.08/2.30 % qbf_q_res: 0
% 2.08/2.30 % qbf_num_tautologies: 0
% 2.08/2.30 % qbf_prep_cycles: 0
% 2.08/2.30
% 2.08/2.30 % ------ BMC1
% 2.08/2.30
% 2.08/2.30 % bmc1_current_bound: -1
% 2.08/2.30 % bmc1_last_solved_bound: -1
% 2.08/2.30 % bmc1_unsat_core_size: -1
% 2.08/2.30 % bmc1_unsat_core_parents_size: -1
% 2.08/2.30 % bmc1_merge_next_fun: 0
% 2.08/2.30 % bmc1_unsat_core_clauses_time: 0.
% 2.08/2.30
% 2.08/2.30 % ------ Instantiation
% 2.08/2.30
% 2.08/2.30 % inst_num_of_clauses: 2000
% 2.08/2.30 % inst_num_in_passive: 0
% 2.08/2.30 % inst_num_in_active: 0
% 2.08/2.30 % inst_num_in_unprocessed: 2217
% 2.08/2.30 % inst_num_of_loops: 0
% 2.08/2.30 % inst_num_of_learning_restarts: 0
% 2.08/2.30 % inst_num_moves_active_passive: 0
% 2.08/2.30 % inst_lit_activity: 0
% 2.08/2.30 % inst_lit_activity_moves: 0
% 2.08/2.30 % inst_num_tautologies: 0
% 2.08/2.30 % inst_num_prop_implied: 0
% 2.08/2.30 % inst_num_existing_simplified: 0
% 2.08/2.30 % inst_num_eq_res_simplified: 0
% 2.08/2.30 % inst_num_child_elim: 0
% 2.08/2.30 % inst_num_of_dismatching_blockings: 0
% 2.08/2.30 % inst_num_of_non_proper_insts: 0
% 2.08/2.30 % inst_num_of_duplicates: 0
% 2.08/2.30 % inst_inst_num_from_inst_to_res: 0
% 2.08/2.30 % inst_dismatching_checking_time: 0.
% 2.08/2.30
% 2.08/2.30 % ------ Resolution
% 2.08/2.30
% 2.08/2.30 % res_num_of_clauses: 3355
% 2.08/2.30 % res_num_in_passive: 1074
% 2.08/2.30 % res_num_in_active: 881
% 2.08/2.30 % res_num_of_loops: 50
% 2.08/2.30 % res_forward_subset_subsumed: 1370
% 2.08/2.30 % res_backward_subset_subsumed: 2
% 2.08/2.30 % res_forward_subsumed: 20
% 2.08/2.30 % res_backward_subsumed: 0
% 2.08/2.30 % res_forward_subsumption_resolution: 1
% 2.08/2.30 % res_backward_subsumption_resolution: 0
% 2.08/2.30 % res_clause_to_clause_subsumption: 245
% 2.08/2.30 % res_orphan_elimination: 0
% 2.08/2.30 % res_tautology_del: 0
% 2.08/2.30 % res_num_eq_res_simplified: 0
% 2.08/2.30 % res_num_sel_changes: 0
% 2.08/2.30 % res_moves_from_active_to_pass: 0
% 2.08/2.30
% 2.08/2.30 % Status Unsatisfiable
% 2.08/2.30 % SZS status Unsatisfiable
% 2.08/2.30 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------