%------------------------------------------------------------------------------
% File     : iProverMo---2.5-0.1
% Problem  : ALG361-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : iprover_modulo %s %d

% Computer : n021.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 17:11:19 EDT 2022

% Result   : Unsatisfiable 1.50s 1.90s
% Output   : CNFRefutation 1.74s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named input)

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

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

cnf(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__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__RealVector_Oreal__vector,axiom,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    input ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(clsarity_Complex__Ocomplex__Ring__and__Field_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__Ring__and__Field_Oring__no__zero__divisors,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    input ).

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

cnf(clsarity_RealDef__Oreal__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__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    input ).

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

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

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

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

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

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oidom,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,plain,
    ( class_Ring__and__Field_Oidom(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Oring,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    input ).

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

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

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

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

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

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

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

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

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

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

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

cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add_0,plain,
    ( class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add]) ).

cnf(clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1,axiom,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    input ).

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

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    input ).

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

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

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

cnf(clsarity_RealDef__Oreal__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__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_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__RealVector_Oreal__normed__vector,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector_0,plain,
    ( class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__vector]) ).

cnf(clsarity_RealDef__Oreal__OrderedGroup_Oab__semigroup__mult,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    input ).

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

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

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

cnf(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    input ).

fof(clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1_0,plain,
    ( class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Ocomm__semiring__1]) ).

cnf(clsarity_RealDef__Oreal__Ring__and__Field_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_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__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__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_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__Ring__and__Field_Oordered__semiring__strict,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    input ).

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

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

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

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

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

cnf(clsarity_bool__Orderings_Oorder,axiom,
    class_Orderings_Oorder(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Oorder_0,plain,
    ( class_Orderings_Oorder(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Oorder]) ).

cnf(clsarity_bool__Orderings_Opreorder,axiom,
    class_Orderings_Opreorder(tc_bool),
    input ).

fof(clsarity_bool__Orderings_Opreorder_0,plain,
    ( class_Orderings_Opreorder(tc_bool)
    | $false ),
    inference(orientation,[status(thm)],[clsarity_bool__Orderings_Opreorder]) ).

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

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

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

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

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

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

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

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

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

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

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

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

cnf(clsarity_nat__Ring__and__Field_Omult__mono1,axiom,
    class_Ring__and__Field_Omult__mono1(tc_nat),
    input ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

cnf(cls_CHAINED_0,axiom,
    c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
    input ).

fof(cls_CHAINED_0_0,plain,
    ( c_SEQ_Osubseq(v_sko__CHAINED__1(v_s))
    | $false ),
    inference(orientation,[status(thm)],[cls_CHAINED_0]) ).

cnf(cls_CHAINED_1,axiom,
    c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
    input ).

fof(cls_CHAINED_1_0,plain,
    ( c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
    | $false ),
    inference(orientation,[status(thm)],[cls_CHAINED_1]) ).

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

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

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

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

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

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

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

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

cnf(cls_Re__complex__of__real_0,axiom,
    hAPP(c_Complex_ORe,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_z)) = V_z,
    input ).

fof(cls_Re__complex__of__real_0_0,plain,
    ! [V_z] :
      ( hAPP(c_Complex_ORe,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_z)) = V_z
      | $false ),
    inference(orientation,[status(thm)],[cls_Re__complex__of__real_0]) ).

cnf(cls_complex__Re__cnj_0,axiom,
    hAPP(c_Complex_ORe,hAPP(c_Complex_Ocnj,V_x)) = hAPP(c_Complex_ORe,V_x),
    input ).

fof(cls_complex__Re__cnj_0_0,plain,
    ! [V_x] :
      ( hAPP(c_Complex_ORe,hAPP(c_Complex_Ocnj,V_x)) = hAPP(c_Complex_ORe,V_x)
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__Re__cnj_0]) ).

cnf(cls_seq__monosub_0,axiom,
    c_SEQ_Osubseq(c_SEQ_Osko__SEQ__Xseq__monosub__1__1(V_s)),
    input ).

fof(cls_seq__monosub_0_0,plain,
    ! [V_s] :
      ( c_SEQ_Osubseq(c_SEQ_Osko__SEQ__Xseq__monosub__1__1(V_s))
      | $false ),
    inference(orientation,[status(thm)],[cls_seq__monosub_0]) ).

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

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

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

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

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

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

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

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

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

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

cnf(cls_le__refl_0,axiom,
    c_lessequals(V_n,V_n,tc_nat),
    input ).

fof(cls_le__refl_0_0,plain,
    ! [V_n] :
      ( c_lessequals(V_n,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_le__refl_0]) ).

cnf(cls_eq__imp__le_0,axiom,
    c_lessequals(V_x,V_x,tc_nat),
    input ).

fof(cls_eq__imp__le_0_0,plain,
    ! [V_x] :
      ( c_lessequals(V_x,V_x,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_eq__imp__le_0]) ).

cnf(cls_complex__cnj__complex__of__real_0,axiom,
    hAPP(c_Complex_Ocnj,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x),
    input ).

fof(cls_complex__cnj__complex__of__real_0_0,plain,
    ! [V_x] :
      ( hAPP(c_Complex_Ocnj,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x)
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__cnj__complex__of__real_0]) ).

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

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

cnf(cls_nat__less__le_1,axiom,
    ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat),
    input ).

fof(cls_nat__less__le_1_0,plain,
    ! [V_x] :
      ( ~ c_HOL_Oord__class_Oless(V_x,V_x,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_nat__less__le_1]) ).

cnf(cls_less__not__refl_0,axiom,
    ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat),
    input ).

fof(cls_less__not__refl_0_0,plain,
    ! [V_n] :
      ( ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat)
      | $false ),
    inference(orientation,[status(thm)],[cls_less__not__refl_0]) ).

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

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

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

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

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

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

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

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

cnf(cls_cnj__def_0,axiom,
    hAPP(c_Complex_Ocnj,V_z) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_z))),
    input ).

fof(cls_cnj__def_0_0,plain,
    ! [V_z] :
      ( hAPP(c_Complex_Ocnj,V_z) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_z)))
      | $false ),
    inference(orientation,[status(thm)],[cls_cnj__def_0]) ).

cnf(cls_complex__minus__def_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x))),
    input ).

fof(cls_complex__minus__def_0_0,plain,
    ! [V_x] :
      ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)))
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__minus__def_0]) ).

cnf(cls_cnj__def__raw_0,axiom,
    hAPP(c_Complex_Ocnj,v_z) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,v_z),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,v_z))),
    input ).

fof(cls_cnj__def__raw_0_0,plain,
    ( hAPP(c_Complex_Ocnj,v_z) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,v_z),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,v_z)))
    | $false ),
    inference(orientation,[status(thm)],[cls_cnj__def__raw_0]) ).

cnf(cls_complex__Im__cnj_0,axiom,
    hAPP(c_Complex_OIm,hAPP(c_Complex_Ocnj,V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),
    input ).

fof(cls_complex__Im__cnj_0_0,plain,
    ! [V_x] :
      ( hAPP(c_Complex_OIm,hAPP(c_Complex_Ocnj,V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__Im__cnj_0]) ).

cnf(cls_complex__cnj_0,axiom,
    hAPP(c_Complex_Ocnj,c_Complex_Ocomplex_OComplex(V_a,V_b)) = c_Complex_Ocomplex_OComplex(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_b)),
    input ).

fof(cls_complex__cnj_0_0,plain,
    ! [V_a,V_b] :
      ( hAPP(c_Complex_Ocnj,c_Complex_Ocomplex_OComplex(V_a,V_b)) = c_Complex_Ocomplex_OComplex(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_b))
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__cnj_0]) ).

cnf(cls_cnj_Osetsum_0,axiom,
    hAPP(c_Complex_Ocnj,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_Ocnj,V_g,tc_Complex_Ocomplex,tc_Complex_Ocomplex,T_a),V_A,T_a,tc_Complex_Ocomplex),
    input ).

fof(cls_cnj_Osetsum_0_0,plain,
    ! [T_a,V_A,V_g] :
      ( hAPP(c_Complex_Ocnj,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_Ocnj,V_g,tc_Complex_Ocomplex,tc_Complex_Ocomplex,T_a),V_A,T_a,tc_Complex_Ocomplex)
      | $false ),
    inference(orientation,[status(thm)],[cls_cnj_Osetsum_0]) ).

cnf(cls_seq__monosub_1,axiom,
    c_SEQ_Omonoseq(c_COMBB(V_s,c_SEQ_Osko__SEQ__Xseq__monosub__1__1(V_s),tc_nat,tc_RealDef_Oreal,tc_nat)),
    input ).

fof(cls_seq__monosub_1_0,plain,
    ! [V_s] :
      ( c_SEQ_Omonoseq(c_COMBB(V_s,c_SEQ_Osko__SEQ__Xseq__monosub__1__1(V_s),tc_nat,tc_RealDef_Oreal,tc_nat))
      | $false ),
    inference(orientation,[status(thm)],[cls_seq__monosub_1]) ).

cnf(cls_complex__eq__cancel__iff2_2,axiom,
    c_Complex_Ocomplex_OComplex(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x),
    input ).

fof(cls_complex__eq__cancel__iff2_2_0,plain,
    ! [V_x] :
      ( c_Complex_Ocomplex_OComplex(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x)
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__eq__cancel__iff2_2]) ).

cnf(cls_complex__of__real__def_0,axiom,
    hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_r) = c_Complex_Ocomplex_OComplex(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    input ).

fof(cls_complex__of__real__def_0_0,plain,
    ! [V_r] :
      ( hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_r) = c_Complex_Ocomplex_OComplex(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__of__real__def_0]) ).

cnf(cls_Im__complex__of__real_0,axiom,
    hAPP(c_Complex_OIm,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_z)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    input ).

fof(cls_Im__complex__of__real_0_0,plain,
    ! [V_z] :
      ( hAPP(c_Complex_OIm,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_z)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | $false ),
    inference(orientation,[status(thm)],[cls_Im__complex__of__real_0]) ).

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

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

cnf(cls_o__assoc_0,axiom,
    c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a),
    input ).

fof(cls_o__assoc_0_0,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_o__assoc_0]) ).

cnf(cls_Im_Ozero_0,axiom,
    hAPP(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,
    ( hAPP(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_cnj_Ominus_0,axiom,
    hAPP(c_Complex_Ocnj,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(c_Complex_Ocnj,V_x)),
    input ).

fof(cls_cnj_Ominus_0_0,plain,
    ! [V_x] :
      ( hAPP(c_Complex_Ocnj,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(c_Complex_Ocnj,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_cnj_Ominus_0]) ).

cnf(cls_Re_Ominus_0,axiom,
    hAPP(c_Complex_ORe,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),
    input ).

fof(cls_Re_Ominus_0_0,plain,
    ! [V_x] :
      ( hAPP(c_Complex_ORe,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_Re_Ominus_0]) ).

cnf(cls_Re_Ozero_0,axiom,
    hAPP(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,
    ( hAPP(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_cnj_Ozero_0,axiom,
    hAPP(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,
    ( hAPP(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_o__apply_0,axiom,
    hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)),
    input ).

fof(cls_o__apply_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__apply_0]) ).

cnf(cls_o__eq__dest__lhs_0,axiom,
    hAPP(V_a,hAPP(V_b,V_v)) = hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v),
    input ).

fof(cls_o__eq__dest__lhs_0_0,plain,
    ! [T_a,T_b,T_c,V_a,V_b,V_v] :
      ( hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) = hAPP(V_a,hAPP(V_b,V_v))
      | $false ),
    inference(orientation,[status(thm)],[cls_o__eq__dest__lhs_0]) ).

cnf(cls_complex__zero__def_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    input ).

fof(cls_complex__zero__def_0_0,plain,
    ( c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal))
    | $false ),
    inference(orientation,[status(thm)],[cls_complex__zero__def_0]) ).

cnf(cls_complex__minus_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(V_a,V_b)) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_b)),
    input ).

fof(cls_complex__minus_0_0,plain,
    ! [V_a,V_b] :
      ( hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(V_a,V_b)) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_b))
      | $false ),
    inference(orientation,[status(thm)],[cls_complex__minus_0]) ).

cnf(cls_Complex__eq__0_2,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    input ).

fof(cls_Complex__eq__0_2_0,plain,
    ( c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | $false ),
    inference(orientation,[status(thm)],[cls_Complex__eq__0_2]) ).

cnf(cls_Im_Ominus_0,axiom,
    hAPP(c_Complex_OIm,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)),
    input ).

fof(cls_Im_Ominus_0_0,plain,
    ! [V_x] :
      ( hAPP(c_Complex_OIm,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x))
      | $false ),
    inference(orientation,[status(thm)],[cls_Im_Ominus_0]) ).

cnf(cls_image__compose_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a),
    input ).

fof(cls_image__compose_0_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_r] :
      ( c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a)
      | $false ),
    inference(orientation,[status(thm)],[cls_image__compose_0]) ).

fof(def_lhs_atom1,axiom,
    ! [V_r,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom1(V_r,V_g,V_f,T_c,T_b,T_a)
    <=> c_Set_Oimage(c_Fun_Ocomp(V_f,V_g,T_c,T_a,T_b),V_r,T_b,T_a) = c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_r,T_b,T_c),T_c,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_0,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_r] :
      ( lhs_atom1(V_r,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__compose_0_0,def_lhs_atom1]) ).

fof(def_lhs_atom2,axiom,
    ! [V_x] :
      ( lhs_atom2(V_x)
    <=> hAPP(c_Complex_OIm,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_1,plain,
    ! [V_x] :
      ( lhs_atom2(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_Ominus_0_0,def_lhs_atom2]) ).

fof(def_lhs_atom3,axiom,
    ( lhs_atom3
  <=> c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_2,plain,
    ( lhs_atom3
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Complex__eq__0_2_0,def_lhs_atom3]) ).

fof(def_lhs_atom4,axiom,
    ! [V_b,V_a] :
      ( lhs_atom4(V_b,V_a)
    <=> hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(V_a,V_b)) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_a),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_b)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_3,plain,
    ! [V_a,V_b] :
      ( lhs_atom4(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__minus_0_0,def_lhs_atom4]) ).

fof(def_lhs_atom5,axiom,
    ( lhs_atom5
  <=> c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_4,plain,
    ( lhs_atom5
    | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__zero__def_0_0,def_lhs_atom5]) ).

fof(def_lhs_atom6,axiom,
    ! [V_v,V_b,V_a,T_c,T_b,T_a] :
      ( lhs_atom6(V_v,V_b,V_a,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ocomp(V_a,V_b,T_c,T_b,T_a),V_v) = hAPP(V_a,hAPP(V_b,V_v)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_5,plain,
    ! [T_a,T_b,T_c,V_a,V_b,V_v] :
      ( lhs_atom6(V_v,V_b,V_a,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__eq__dest__lhs_0_0,def_lhs_atom6]) ).

fof(def_lhs_atom7,axiom,
    ! [V_x,V_g,V_f,T_c,T_b,T_a] :
      ( lhs_atom7(V_x,V_g,V_f,T_c,T_b,T_a)
    <=> hAPP(c_Fun_Ocomp(V_f,V_g,T_b,T_a,T_c),V_x) = hAPP(V_f,hAPP(V_g,V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_6,plain,
    ! [T_a,T_b,T_c,V_f,V_g,V_x] :
      ( lhs_atom7(V_x,V_g,V_f,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__apply_0_0,def_lhs_atom7]) ).

fof(def_lhs_atom8,axiom,
    ( lhs_atom8
  <=> hAPP(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_7,plain,
    ( lhs_atom8
    | $false ),
    inference(fold_definition,[status(thm)],[cls_cnj_Ozero_0_0,def_lhs_atom8]) ).

fof(def_lhs_atom9,axiom,
    ( lhs_atom9
  <=> hAPP(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_8,plain,
    ( lhs_atom9
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_Ozero_0_0,def_lhs_atom9]) ).

fof(def_lhs_atom10,axiom,
    ! [V_x] :
      ( lhs_atom10(V_x)
    <=> hAPP(c_Complex_ORe,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_9,plain,
    ! [V_x] :
      ( lhs_atom10(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_Ominus_0_0,def_lhs_atom10]) ).

fof(def_lhs_atom11,axiom,
    ! [V_x] :
      ( lhs_atom11(V_x)
    <=> hAPP(c_Complex_Ocnj,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(c_Complex_Ocnj,V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_10,plain,
    ! [V_x] :
      ( lhs_atom11(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_cnj_Ominus_0_0,def_lhs_atom11]) ).

fof(def_lhs_atom12,axiom,
    ( lhs_atom12
  <=> hAPP(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_11,plain,
    ( lhs_atom12
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_Ozero_0_0,def_lhs_atom12]) ).

fof(def_lhs_atom13,axiom,
    ! [V_h,V_g,V_f,T_d,T_c,T_b,T_a] :
      ( lhs_atom13(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
    <=> c_Fun_Ocomp(V_f,c_Fun_Ocomp(V_g,V_h,T_d,T_c,T_a),T_c,T_b,T_a) = c_Fun_Ocomp(c_Fun_Ocomp(V_f,V_g,T_c,T_b,T_d),V_h,T_d,T_b,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_12,plain,
    ! [T_a,T_b,T_c,T_d,V_f,V_g,V_h] :
      ( lhs_atom13(V_h,V_g,V_f,T_d,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_o__assoc_0_0,def_lhs_atom13]) ).

fof(def_lhs_atom14,axiom,
    ! [V_w] :
      ( lhs_atom14(V_w)
    <=> c_lessequals(V_w,V_w,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_13,plain,
    ! [V_w] :
      ( lhs_atom14(V_w)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_real__le__refl_0_0,def_lhs_atom14]) ).

fof(def_lhs_atom15,axiom,
    ! [V_z] :
      ( lhs_atom15(V_z)
    <=> hAPP(c_Complex_OIm,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_z)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_14,plain,
    ! [V_z] :
      ( lhs_atom15(V_z)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im__complex__of__real_0_0,def_lhs_atom15]) ).

fof(def_lhs_atom16,axiom,
    ! [V_r] :
      ( lhs_atom16(V_r)
    <=> hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_r) = c_Complex_Ocomplex_OComplex(V_r,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_15,plain,
    ! [V_r] :
      ( lhs_atom16(V_r)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__of__real__def_0_0,def_lhs_atom16]) ).

fof(def_lhs_atom17,axiom,
    ! [V_x] :
      ( lhs_atom17(V_x)
    <=> c_Complex_Ocomplex_OComplex(V_x,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x) ),
    inference(definition,[],]) ).

fof(to_be_clausified_16,plain,
    ! [V_x] :
      ( lhs_atom17(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__eq__cancel__iff2_2_0,def_lhs_atom17]) ).

fof(def_lhs_atom18,axiom,
    ! [V_s] :
      ( lhs_atom18(V_s)
    <=> c_SEQ_Omonoseq(c_COMBB(V_s,c_SEQ_Osko__SEQ__Xseq__monosub__1__1(V_s),tc_nat,tc_RealDef_Oreal,tc_nat)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_17,plain,
    ! [V_s] :
      ( lhs_atom18(V_s)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_seq__monosub_1_0,def_lhs_atom18]) ).

fof(def_lhs_atom19,axiom,
    ! [V_g,V_A,T_a] :
      ( lhs_atom19(V_g,V_A,T_a)
    <=> hAPP(c_Complex_Ocnj,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_Ocnj,V_g,tc_Complex_Ocomplex,tc_Complex_Ocomplex,T_a),V_A,T_a,tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_18,plain,
    ! [T_a,V_A,V_g] :
      ( lhs_atom19(V_g,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_cnj_Osetsum_0_0,def_lhs_atom19]) ).

fof(def_lhs_atom20,axiom,
    ! [V_b,V_a] :
      ( lhs_atom20(V_b,V_a)
    <=> hAPP(c_Complex_Ocnj,c_Complex_Ocomplex_OComplex(V_a,V_b)) = c_Complex_Ocomplex_OComplex(V_a,hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),V_b)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_19,plain,
    ! [V_a,V_b] :
      ( lhs_atom20(V_b,V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__cnj_0_0,def_lhs_atom20]) ).

fof(def_lhs_atom21,axiom,
    ! [V_x] :
      ( lhs_atom21(V_x)
    <=> hAPP(c_Complex_OIm,hAPP(c_Complex_Ocnj,V_x)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_20,plain,
    ! [V_x] :
      ( lhs_atom21(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__Im__cnj_0_0,def_lhs_atom21]) ).

fof(def_lhs_atom22,axiom,
    ( lhs_atom22
  <=> hAPP(c_Complex_Ocnj,v_z) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,v_z),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,v_z))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_21,plain,
    ( lhs_atom22
    | $false ),
    inference(fold_definition,[status(thm)],[cls_cnj__def__raw_0_0,def_lhs_atom22]) ).

fof(def_lhs_atom23,axiom,
    ! [V_x] :
      ( lhs_atom23(V_x)
    <=> hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),V_x) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,V_x)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_x))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_22,plain,
    ! [V_x] :
      ( lhs_atom23(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__minus__def_0_0,def_lhs_atom23]) ).

fof(def_lhs_atom24,axiom,
    ! [V_z] :
      ( lhs_atom24(V_z)
    <=> hAPP(c_Complex_Ocnj,V_z) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,V_z))) ),
    inference(definition,[],]) ).

fof(to_be_clausified_23,plain,
    ! [V_z] :
      ( lhs_atom24(V_z)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_cnj__def_0_0,def_lhs_atom24]) ).

fof(def_lhs_atom25,axiom,
    ! [V_a] :
      ( lhs_atom25(V_a)
    <=> c_Lim_OisCont(c_Complex_OIm,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_24,plain,
    ! [V_a] :
      ( lhs_atom25(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_OisCont_0_0,def_lhs_atom25]) ).

fof(def_lhs_atom26,axiom,
    ! [V_g,V_A,T_a] :
      ( lhs_atom26(V_g,V_A,T_a)
    <=> hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_25,plain,
    ! [T_a,V_A,V_g] :
      ( lhs_atom26(V_g,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_Osetsum_0_0,def_lhs_atom26]) ).

fof(def_lhs_atom27,axiom,
    ! [V_y,V_x] :
      ( lhs_atom27(V_y,V_x)
    <=> hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_y ),
    inference(definition,[],]) ).

fof(to_be_clausified_26,plain,
    ! [V_x,V_y] :
      ( lhs_atom27(V_y,V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_0_0,def_lhs_atom27]) ).

fof(def_lhs_atom28,axiom,
    ! [V_z] :
      ( lhs_atom28(V_z)
    <=> hAPP(c_Complex_Ocnj,hAPP(c_Complex_Ocnj,V_z)) = V_z ),
    inference(definition,[],]) ).

fof(to_be_clausified_27,plain,
    ! [V_z] :
      ( lhs_atom28(V_z)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__cnj__cnj_0_0,def_lhs_atom28]) ).

fof(def_lhs_atom29,axiom,
    ! [V_n] :
      ( lhs_atom29(V_n)
    <=> ~ c_HOL_Oord__class_Oless(V_n,V_n,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_28,plain,
    ! [V_n] :
      ( lhs_atom29(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_less__not__refl_0_0,def_lhs_atom29]) ).

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

fof(to_be_clausified_29,plain,
    ! [V_x] :
      ( lhs_atom30(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_nat__less__le_1_0,def_lhs_atom30]) ).

fof(def_lhs_atom31,axiom,
    ! [V_z] :
      ( lhs_atom31(V_z)
    <=> c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,V_z),hAPP(c_Complex_OIm,V_z)) = V_z ),
    inference(definition,[],]) ).

fof(to_be_clausified_30,plain,
    ! [V_z] :
      ( lhs_atom31(V_z)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__surj_0_0,def_lhs_atom31]) ).

fof(def_lhs_atom32,axiom,
    ! [V_x] :
      ( lhs_atom32(V_x)
    <=> hAPP(c_Complex_Ocnj,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_x) ),
    inference(definition,[],]) ).

fof(to_be_clausified_31,plain,
    ! [V_x] :
      ( lhs_atom32(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__cnj__complex__of__real_0_0,def_lhs_atom32]) ).

fof(def_lhs_atom33,axiom,
    ! [V_x] :
      ( lhs_atom33(V_x)
    <=> c_lessequals(V_x,V_x,tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_32,plain,
    ! [V_x] :
      ( lhs_atom33(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_eq__imp__le_0_0,def_lhs_atom33]) ).

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

fof(to_be_clausified_33,plain,
    ! [V_n] :
      ( lhs_atom34(V_n)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_le__refl_0_0,def_lhs_atom34]) ).

fof(def_lhs_atom35,axiom,
    ( lhs_atom35
  <=> c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_34,plain,
    ( lhs_atom35
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_OisUCont_0_0,def_lhs_atom35]) ).

fof(def_lhs_atom36,axiom,
    ! [V_a] :
      ( lhs_atom36(V_a)
    <=> c_Lim_OLIM(c_Complex_OIm,V_a,hAPP(c_Complex_OIm,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_35,plain,
    ! [V_a] :
      ( lhs_atom36(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Im_Ocont_0_0,def_lhs_atom36]) ).

fof(def_lhs_atom37,axiom,
    ! [V_y,V_x] :
      ( lhs_atom37(V_y,V_x)
    <=> hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(V_x,V_y)) = V_x ),
    inference(definition,[],]) ).

fof(to_be_clausified_36,plain,
    ! [V_x,V_y] :
      ( lhs_atom37(V_y,V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_0_0,def_lhs_atom37]) ).

fof(def_lhs_atom38,axiom,
    ( lhs_atom38
  <=> c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_37,plain,
    ( lhs_atom38
    | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_OisUCont_0_0,def_lhs_atom38]) ).

fof(def_lhs_atom39,axiom,
    ! [V_g,V_f,V_A,T_c,T_b,T_a] :
      ( lhs_atom39(V_g,V_f,V_A,T_c,T_b,T_a)
    <=> c_Set_Oimage(V_f,c_Set_Oimage(V_g,V_A,T_c,T_b),T_b,T_a) = c_Set_Oimage(c_COMBB(V_f,V_g,T_b,T_a,T_c),V_A,T_c,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_38,plain,
    ! [T_a,T_b,T_c,V_A,V_f,V_g] :
      ( lhs_atom39(V_g,V_f,V_A,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_image__image_0_0,def_lhs_atom39]) ).

fof(def_lhs_atom40,axiom,
    ! [V_s] :
      ( lhs_atom40(V_s)
    <=> c_SEQ_Osubseq(c_SEQ_Osko__SEQ__Xseq__monosub__1__1(V_s)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_39,plain,
    ! [V_s] :
      ( lhs_atom40(V_s)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_seq__monosub_0_0,def_lhs_atom40]) ).

fof(def_lhs_atom41,axiom,
    ! [V_x] :
      ( lhs_atom41(V_x)
    <=> hAPP(c_Complex_ORe,hAPP(c_Complex_Ocnj,V_x)) = hAPP(c_Complex_ORe,V_x) ),
    inference(definition,[],]) ).

fof(to_be_clausified_40,plain,
    ! [V_x] :
      ( lhs_atom41(V_x)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_complex__Re__cnj_0_0,def_lhs_atom41]) ).

fof(def_lhs_atom42,axiom,
    ! [V_z] :
      ( lhs_atom42(V_z)
    <=> hAPP(c_Complex_ORe,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),V_z)) = V_z ),
    inference(definition,[],]) ).

fof(to_be_clausified_41,plain,
    ! [V_z] :
      ( lhs_atom42(V_z)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re__complex__of__real_0_0,def_lhs_atom42]) ).

fof(def_lhs_atom43,axiom,
    ! [V_a] :
      ( lhs_atom43(V_a)
    <=> c_Lim_OLIM(c_Complex_ORe,V_a,hAPP(c_Complex_ORe,V_a),tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_42,plain,
    ! [V_a] :
      ( lhs_atom43(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_Ocont_0_0,def_lhs_atom43]) ).

fof(def_lhs_atom44,axiom,
    ! [V_a] :
      ( lhs_atom44(V_a)
    <=> c_Lim_OisCont(c_Complex_ORe,V_a,tc_Complex_Ocomplex,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_43,plain,
    ! [V_a] :
      ( lhs_atom44(V_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_OisCont_0_0,def_lhs_atom44]) ).

fof(def_lhs_atom45,axiom,
    ! [V_g,V_A,T_a] :
      ( lhs_atom45(V_g,V_A,T_a)
    <=> hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(V_g,V_A,T_a,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,V_g,tc_Complex_Ocomplex,tc_RealDef_Oreal,T_a),V_A,T_a,tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_44,plain,
    ! [T_a,V_A,V_g] :
      ( lhs_atom45(V_g,V_A,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_Re_Osetsum_0_0,def_lhs_atom45]) ).

fof(def_lhs_atom46,axiom,
    ! [V_R,V_Q,V_P,T_c,T_b,T_a] :
      ( lhs_atom46(V_R,V_Q,V_P,T_c,T_b,T_a)
    <=> hAPP(c_COMBB(V_P,V_Q,T_b,T_a,T_c),V_R) = hAPP(V_P,hAPP(V_Q,V_R)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_45,plain,
    ! [T_a,T_b,T_c,V_P,V_Q,V_R] :
      ( lhs_atom46(V_R,V_Q,V_P,T_c,T_b,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_COMBB__def_0_0,def_lhs_atom46]) ).

fof(def_lhs_atom47,axiom,
    ( lhs_atom47
  <=> c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_46,plain,
    ( lhs_atom47
    | $false ),
    inference(fold_definition,[status(thm)],[cls_CHAINED_1_0,def_lhs_atom47]) ).

fof(def_lhs_atom48,axiom,
    ( lhs_atom48
  <=> c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)) ),
    inference(definition,[],]) ).

fof(to_be_clausified_47,plain,
    ( lhs_atom48
    | $false ),
    inference(fold_definition,[status(thm)],[cls_CHAINED_0_0,def_lhs_atom48]) ).

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

fof(to_be_clausified_48,plain,
    ( lhs_atom49
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__comm__semiring__strict_0,def_lhs_atom49]) ).

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

fof(to_be_clausified_49,plain,
    ( lhs_atom50
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Opordered__cancel__semiring_0,def_lhs_atom50]) ).

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

fof(to_be_clausified_50,plain,
    ( lhs_atom51
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semiring__strict_0,def_lhs_atom51]) ).

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

fof(to_be_clausified_51,plain,
    ( lhs_atom52
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Opordered__semiring_0,def_lhs_atom52]) ).

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

fof(to_be_clausified_52,plain,
    ( lhs_atom53
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Oordered__semiring_0,def_lhs_atom53]) ).

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

fof(to_be_clausified_53,plain,
    ( lhs_atom54
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom54]) ).

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

fof(to_be_clausified_54,plain,
    ( lhs_atom55
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom55]) ).

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

fof(to_be_clausified_55,plain,
    ( lhs_atom56
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom56]) ).

fof(def_lhs_atom57,axiom,
    ( lhs_atom57
  <=> class_Ring__and__Field_Osemiring__0(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_56,plain,
    ( lhs_atom57
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Osemiring__0_0,def_lhs_atom57]) ).

fof(def_lhs_atom58,axiom,
    ( lhs_atom58
  <=> class_Ring__and__Field_Omult__mono1(tc_nat) ),
    inference(definition,[],]) ).

fof(to_be_clausified_57,plain,
    ( lhs_atom58
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__mono1_0,def_lhs_atom58]) ).

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

fof(to_be_clausified_58,plain,
    ( lhs_atom59
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__zero_0,def_lhs_atom59]) ).

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

fof(to_be_clausified_59,plain,
    ( lhs_atom60
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Ring__and__Field_Omult__mono_0,def_lhs_atom60]) ).

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

fof(to_be_clausified_60,plain,
    ( lhs_atom61
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Opreorder_0,def_lhs_atom61]) ).

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

fof(to_be_clausified_61,plain,
    ( lhs_atom62
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Olinorder_0,def_lhs_atom62]) ).

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

fof(to_be_clausified_62,plain,
    ( lhs_atom63
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_nat__Orderings_Oorder_0,def_lhs_atom63]) ).

fof(def_lhs_atom64,axiom,
    ( lhs_atom64
  <=> class_Lattices_Oboolean__algebra(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_63,plain,
    ( lhs_atom64
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Lattices_Oboolean__algebra_0,def_lhs_atom64]) ).

fof(def_lhs_atom65,axiom,
    ( lhs_atom65
  <=> class_Orderings_Opreorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_64,plain,
    ( lhs_atom65
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Opreorder_0,def_lhs_atom65]) ).

fof(def_lhs_atom66,axiom,
    ( lhs_atom66
  <=> class_Orderings_Oorder(tc_bool) ),
    inference(definition,[],]) ).

fof(to_be_clausified_65,plain,
    ( lhs_atom66
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_bool__Orderings_Oorder_0,def_lhs_atom66]) ).

fof(def_lhs_atom67,axiom,
    ( lhs_atom67
  <=> class_Ring__and__Field_Oordered__comm__semiring__strict(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_Oordered__comm__semiring__strict_0,def_lhs_atom67]) ).

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

fof(to_be_clausified_67,plain,
    ( lhs_atom68
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__cancel__semiring_0,def_lhs_atom68]) ).

fof(def_lhs_atom69,axiom,
    ( lhs_atom69
  <=> class_Ring__and__Field_Oordered__semiring__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__semiring__strict_0,def_lhs_atom69]) ).

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

fof(to_be_clausified_69,plain,
    ( lhs_atom70
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add__abs_0,def_lhs_atom70]) ).

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

fof(to_be_clausified_70,plain,
    ( lhs_atom71
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add__abs_0,def_lhs_atom71]) ).

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

fof(to_be_clausified_71,plain,
    ( lhs_atom72
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom72]) ).

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

fof(to_be_clausified_72,plain,
    ( lhs_atom73
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oordered__ring__strict_0,def_lhs_atom73]) ).

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

fof(to_be_clausified_73,plain,
    ( lhs_atom74
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Opordered__ab__group__add_0,def_lhs_atom74]) ).

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

fof(to_be_clausified_74,plain,
    ( lhs_atom75
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Olordered__ab__group__add_0,def_lhs_atom75]) ).

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

fof(to_be_clausified_75,plain,
    ( lhs_atom76
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oordered__ab__group__add_0,def_lhs_atom76]) ).

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

fof(to_be_clausified_76,plain,
    ( lhs_atom77
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__semiring_0,def_lhs_atom77]) ).

fof(def_lhs_atom78,axiom,
    ( lhs_atom78
  <=> class_Ring__and__Field_Opordered__ring__abs(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_Opordered__ring__abs_0,def_lhs_atom78]) ).

fof(def_lhs_atom79,axiom,
    ( lhs_atom79
  <=> class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_78,plain,
    ( lhs_atom79
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom79]) ).

fof(def_lhs_atom80,axiom,
    ( lhs_atom80
  <=> class_Ring__and__Field_Oordered__semiring(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__semiring_0,def_lhs_atom80]) ).

fof(def_lhs_atom81,axiom,
    ( lhs_atom81
  <=> class_Ring__and__Field_Ono__zero__divisors(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_Ono__zero__divisors_0,def_lhs_atom81]) ).

fof(def_lhs_atom82,axiom,
    ( lhs_atom82
  <=> class_Ring__and__Field_Ocomm__semiring__1(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__1_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_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_85,plain,
    ( lhs_atom86
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Opordered__ring_0,def_lhs_atom86]) ).

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

fof(to_be_clausified_86,plain,
    ( lhs_atom87
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Olordered__ring_0,def_lhs_atom87]) ).

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

fof(to_be_clausified_87,plain,
    ( lhs_atom88
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__normed__field_0,def_lhs_atom88]) ).

fof(def_lhs_atom89,axiom,
    ( lhs_atom89
  <=> class_Ring__and__Field_Oordered__idom(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_Oordered__idom_0,def_lhs_atom89]) ).

fof(def_lhs_atom90,axiom,
    ( lhs_atom90
  <=> class_Ring__and__Field_Osemiring__0(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_Osemiring__0_0,def_lhs_atom90]) ).

fof(def_lhs_atom91,axiom,
    ( lhs_atom91
  <=> class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_90,plain,
    ( lhs_atom91
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono1_0,def_lhs_atom91]) ).

fof(def_lhs_atom92,axiom,
    ( lhs_atom92
  <=> class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal) ),
    inference(definition,[],]) ).

fof(to_be_clausified_91,plain,
    ( lhs_atom92
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__algebra__1_0,def_lhs_atom92]) ).

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

fof(to_be_clausified_92,plain,
    ( lhs_atom93
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Oab__group__add_0,def_lhs_atom93]) ).

fof(def_lhs_atom94,axiom,
    ( lhs_atom94
  <=> class_Ring__and__Field_Omult__zero(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_Omult__zero_0,def_lhs_atom94]) ).

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

fof(to_be_clausified_94,plain,
    ( lhs_atom95
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Omult__mono_0,def_lhs_atom95]) ).

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

fof(to_be_clausified_95,plain,
    ( lhs_atom96
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__algebra_0,def_lhs_atom96]) ).

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

fof(to_be_clausified_96,plain,
    ( lhs_atom97
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Ometric__space_0,def_lhs_atom97]) ).

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

fof(to_be_clausified_97,plain,
    ( lhs_atom98
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__RealVector_Oreal__vector_0,def_lhs_atom98]) ).

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

fof(to_be_clausified_98,plain,
    ( lhs_atom99
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__OrderedGroup_Ogroup__add_0,def_lhs_atom99]) ).

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

fof(to_be_clausified_99,plain,
    ( lhs_atom100
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oabs__if_0,def_lhs_atom100]) ).

fof(def_lhs_atom101,axiom,
    ( lhs_atom101
  <=> class_Ring__and__Field_Oring(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_Oring_0,def_lhs_atom101]) ).

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

fof(to_be_clausified_101,plain,
    ( lhs_atom102
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Ring__and__Field_Oidom_0,def_lhs_atom102]) ).

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

fof(to_be_clausified_102,plain,
    ( lhs_atom103
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Opreorder_0,def_lhs_atom103]) ).

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

fof(to_be_clausified_103,plain,
    ( lhs_atom104
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Olinorder_0,def_lhs_atom104]) ).

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

fof(to_be_clausified_104,plain,
    ( lhs_atom105
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__Orderings_Oorder_0,def_lhs_atom105]) ).

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

fof(to_be_clausified_105,plain,
    ( lhs_atom106
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_RealDef__Oreal__SEQ_Obanach_0,def_lhs_atom106]) ).

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

fof(to_be_clausified_106,plain,
    ( lhs_atom107
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Oring__no__zero__divisors_0,def_lhs_atom107]) ).

fof(def_lhs_atom108,axiom,
    ( lhs_atom108
  <=> class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_107,plain,
    ( lhs_atom108
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1_0,def_lhs_atom108]) ).

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

fof(to_be_clausified_108,plain,
    ( lhs_atom109
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ono__zero__divisors_0,def_lhs_atom109]) ).

fof(def_lhs_atom110,axiom,
    ( lhs_atom110
  <=> class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_109,plain,
    ( lhs_atom110
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Ocomm__semiring__1_0,def_lhs_atom110]) ).

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

fof(to_be_clausified_110,plain,
    ( lhs_atom111
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__algebra_0,def_lhs_atom111]) ).

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

fof(to_be_clausified_111,plain,
    ( lhs_atom112
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__semigroup__mult_0,def_lhs_atom112]) ).

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

fof(to_be_clausified_112,plain,
    ( lhs_atom113
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__vector_0,def_lhs_atom113]) ).

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

fof(to_be_clausified_113,plain,
    ( lhs_atom114
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__normed__field_0,def_lhs_atom114]) ).

fof(def_lhs_atom115,axiom,
    ( lhs_atom115
  <=> class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_114,plain,
    ( lhs_atom115
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Osemiring__0_0,def_lhs_atom115]) ).

fof(def_lhs_atom116,axiom,
    ( lhs_atom116
  <=> class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_115,plain,
    ( lhs_atom116
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__algebra__1_0,def_lhs_atom116]) ).

fof(def_lhs_atom117,axiom,
    ( lhs_atom117
  <=> class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_116,plain,
    ( lhs_atom117
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Oab__group__add_0,def_lhs_atom117]) ).

fof(def_lhs_atom118,axiom,
    ( lhs_atom118
  <=> class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_117,plain,
    ( lhs_atom118
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__Ring__and__Field_Omult__zero_0,def_lhs_atom118]) ).

fof(def_lhs_atom119,axiom,
    ( lhs_atom119
  <=> class_RealVector_Oreal__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__algebra_0,def_lhs_atom119]) ).

fof(def_lhs_atom120,axiom,
    ( lhs_atom120
  <=> class_RealVector_Ometric__space(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_119,plain,
    ( lhs_atom120
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Ometric__space_0,def_lhs_atom120]) ).

fof(def_lhs_atom121,axiom,
    ( lhs_atom121
  <=> class_RealVector_Oreal__vector(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_120,plain,
    ( lhs_atom121
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__RealVector_Oreal__vector_0,def_lhs_atom121]) ).

fof(def_lhs_atom122,axiom,
    ( lhs_atom122
  <=> class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_121,plain,
    ( lhs_atom122
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__OrderedGroup_Ogroup__add_0,def_lhs_atom122]) ).

fof(def_lhs_atom123,axiom,
    ( lhs_atom123
  <=> class_Ring__and__Field_Oring(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_Oring_0,def_lhs_atom123]) ).

fof(def_lhs_atom124,axiom,
    ( lhs_atom124
  <=> class_Ring__and__Field_Oidom(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_Oidom_0,def_lhs_atom124]) ).

fof(def_lhs_atom125,axiom,
    ( lhs_atom125
  <=> class_SEQ_Obanach(tc_Complex_Ocomplex) ),
    inference(definition,[],]) ).

fof(to_be_clausified_124,plain,
    ( lhs_atom125
    | $false ),
    inference(fold_definition,[status(thm)],[clsarity_Complex__Ocomplex__SEQ_Obanach_0,def_lhs_atom125]) ).

fof(def_lhs_atom126,axiom,
    ! [V_x,T_a] :
      ( lhs_atom126(V_x,T_a)
    <=> c_fequal(V_x,V_x,T_a) ),
    inference(definition,[],]) ).

fof(to_be_clausified_125,plain,
    ! [T_a,V_x] :
      ( lhs_atom126(V_x,T_a)
      | $false ),
    inference(fold_definition,[status(thm)],[cls_ATP__Linkup_Oequal__imp__fequal_0_0,def_lhs_atom126]) ).

% Start CNF derivation
fof(c_0_0,axiom,
    ! [X11,X2,X3,X12,X4,X5,X6] :
      ( lhs_atom13(X11,X2,X3,X12,X4,X5,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_12) ).

fof(c_0_1,axiom,
    ! [X19,X20,X21,X4,X5,X6] :
      ( lhs_atom46(X19,X20,X21,X4,X5,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_45) ).

fof(c_0_2,axiom,
    ! [X2,X3,X16,X4,X5,X6] :
      ( lhs_atom39(X2,X3,X16,X4,X5,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_38) ).

fof(c_0_3,axiom,
    ! [X7,X2,X3,X4,X5,X6] :
      ( lhs_atom7(X7,X2,X3,X4,X5,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_6) ).

fof(c_0_4,axiom,
    ! [X10,X8,X9,X4,X5,X6] :
      ( lhs_atom6(X10,X8,X9,X4,X5,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_5) ).

fof(c_0_5,axiom,
    ! [X1,X2,X3,X4,X5,X6] :
      ( lhs_atom1(X1,X2,X3,X4,X5,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_0) ).

fof(c_0_6,axiom,
    ! [X2,X16,X6] :
      ( lhs_atom45(X2,X16,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_44) ).

fof(c_0_7,axiom,
    ! [X2,X16,X6] :
      ( lhs_atom26(X2,X16,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_25) ).

fof(c_0_8,axiom,
    ! [X2,X16,X6] :
      ( lhs_atom19(X2,X16,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_18) ).

fof(c_0_9,axiom,
    ! [X7,X6] :
      ( lhs_atom126(X7,X6)
      | ~ $true ),
    file('<stdin>',to_be_clausified_125) ).

fof(c_0_10,axiom,
    ! [X17,X7] :
      ( lhs_atom37(X17,X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_36) ).

fof(c_0_11,axiom,
    ! [X17,X7] :
      ( lhs_atom27(X17,X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_26) ).

fof(c_0_12,axiom,
    ! [X8,X9] :
      ( lhs_atom20(X8,X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_19) ).

fof(c_0_13,axiom,
    ! [X8,X9] :
      ( lhs_atom4(X8,X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_3) ).

fof(c_0_14,axiom,
    ! [X9] :
      ( lhs_atom44(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_43) ).

fof(c_0_15,axiom,
    ! [X9] :
      ( lhs_atom43(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_42) ).

fof(c_0_16,axiom,
    ! [X14] :
      ( lhs_atom42(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_41) ).

fof(c_0_17,axiom,
    ! [X7] :
      ( lhs_atom41(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_40) ).

fof(c_0_18,axiom,
    ! [X15] :
      ( lhs_atom40(X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_39) ).

fof(c_0_19,axiom,
    ! [X9] :
      ( lhs_atom36(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_35) ).

fof(c_0_20,axiom,
    ! [X18] :
      ( lhs_atom34(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_33) ).

fof(c_0_21,axiom,
    ! [X7] :
      ( lhs_atom33(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_32) ).

fof(c_0_22,axiom,
    ! [X7] :
      ( lhs_atom32(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_31) ).

fof(c_0_23,axiom,
    ! [X14] :
      ( lhs_atom31(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_30) ).

fof(c_0_24,axiom,
    ! [X7] :
      ( lhs_atom30(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_29) ).

fof(c_0_25,axiom,
    ! [X18] :
      ( lhs_atom29(X18)
      | ~ $true ),
    file('<stdin>',to_be_clausified_28) ).

fof(c_0_26,axiom,
    ! [X14] :
      ( lhs_atom28(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_27) ).

fof(c_0_27,axiom,
    ! [X9] :
      ( lhs_atom25(X9)
      | ~ $true ),
    file('<stdin>',to_be_clausified_24) ).

fof(c_0_28,axiom,
    ! [X14] :
      ( lhs_atom24(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_23) ).

fof(c_0_29,axiom,
    ! [X7] :
      ( lhs_atom23(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_22) ).

fof(c_0_30,axiom,
    ! [X7] :
      ( lhs_atom21(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_20) ).

fof(c_0_31,axiom,
    ! [X15] :
      ( lhs_atom18(X15)
      | ~ $true ),
    file('<stdin>',to_be_clausified_17) ).

fof(c_0_32,axiom,
    ! [X7] :
      ( lhs_atom17(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_16) ).

fof(c_0_33,axiom,
    ! [X1] :
      ( lhs_atom16(X1)
      | ~ $true ),
    file('<stdin>',to_be_clausified_15) ).

fof(c_0_34,axiom,
    ! [X14] :
      ( lhs_atom15(X14)
      | ~ $true ),
    file('<stdin>',to_be_clausified_14) ).

fof(c_0_35,axiom,
    ! [X13] :
      ( lhs_atom14(X13)
      | ~ $true ),
    file('<stdin>',to_be_clausified_13) ).

fof(c_0_36,axiom,
    ! [X7] :
      ( lhs_atom11(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_10) ).

fof(c_0_37,axiom,
    ! [X7] :
      ( lhs_atom10(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_9) ).

fof(c_0_38,axiom,
    ! [X7] :
      ( lhs_atom2(X7)
      | ~ $true ),
    file('<stdin>',to_be_clausified_1) ).

fof(c_0_39,axiom,
    ( lhs_atom125
    | ~ $true ),
    file('<stdin>',to_be_clausified_124) ).

fof(c_0_40,axiom,
    ( lhs_atom124
    | ~ $true ),
    file('<stdin>',to_be_clausified_123) ).

fof(c_0_41,axiom,
    ( lhs_atom123
    | ~ $true ),
    file('<stdin>',to_be_clausified_122) ).

fof(c_0_42,axiom,
    ( lhs_atom122
    | ~ $true ),
    file('<stdin>',to_be_clausified_121) ).

fof(c_0_43,axiom,
    ( lhs_atom121
    | ~ $true ),
    file('<stdin>',to_be_clausified_120) ).

fof(c_0_44,axiom,
    ( lhs_atom120
    | ~ $true ),
    file('<stdin>',to_be_clausified_119) ).

fof(c_0_45,axiom,
    ( lhs_atom119
    | ~ $true ),
    file('<stdin>',to_be_clausified_118) ).

fof(c_0_46,axiom,
    ( lhs_atom118
    | ~ $true ),
    file('<stdin>',to_be_clausified_117) ).

fof(c_0_47,axiom,
    ( lhs_atom117
    | ~ $true ),
    file('<stdin>',to_be_clausified_116) ).

fof(c_0_48,axiom,
    ( lhs_atom116
    | ~ $true ),
    file('<stdin>',to_be_clausified_115) ).

fof(c_0_49,axiom,
    ( lhs_atom115
    | ~ $true ),
    file('<stdin>',to_be_clausified_114) ).

fof(c_0_50,axiom,
    ( lhs_atom114
    | ~ $true ),
    file('<stdin>',to_be_clausified_113) ).

fof(c_0_51,axiom,
    ( lhs_atom113
    | ~ $true ),
    file('<stdin>',to_be_clausified_112) ).

fof(c_0_52,axiom,
    ( lhs_atom112
    | ~ $true ),
    file('<stdin>',to_be_clausified_111) ).

fof(c_0_53,axiom,
    ( lhs_atom111
    | ~ $true ),
    file('<stdin>',to_be_clausified_110) ).

fof(c_0_54,axiom,
    ( lhs_atom110
    | ~ $true ),
    file('<stdin>',to_be_clausified_109) ).

fof(c_0_55,axiom,
    ( lhs_atom109
    | ~ $true ),
    file('<stdin>',to_be_clausified_108) ).

fof(c_0_56,axiom,
    ( lhs_atom108
    | ~ $true ),
    file('<stdin>',to_be_clausified_107) ).

fof(c_0_57,axiom,
    ( lhs_atom107
    | ~ $true ),
    file('<stdin>',to_be_clausified_106) ).

fof(c_0_58,axiom,
    ( lhs_atom106
    | ~ $true ),
    file('<stdin>',to_be_clausified_105) ).

fof(c_0_59,axiom,
    ( lhs_atom105
    | ~ $true ),
    file('<stdin>',to_be_clausified_104) ).

fof(c_0_60,axiom,
    ( lhs_atom104
    | ~ $true ),
    file('<stdin>',to_be_clausified_103) ).

fof(c_0_61,axiom,
    ( lhs_atom103
    | ~ $true ),
    file('<stdin>',to_be_clausified_102) ).

fof(c_0_62,axiom,
    ( lhs_atom102
    | ~ $true ),
    file('<stdin>',to_be_clausified_101) ).

fof(c_0_63,axiom,
    ( lhs_atom101
    | ~ $true ),
    file('<stdin>',to_be_clausified_100) ).

fof(c_0_64,axiom,
    ( lhs_atom100
    | ~ $true ),
    file('<stdin>',to_be_clausified_99) ).

fof(c_0_65,axiom,
    ( lhs_atom99
    | ~ $true ),
    file('<stdin>',to_be_clausified_98) ).

fof(c_0_66,axiom,
    ( lhs_atom98
    | ~ $true ),
    file('<stdin>',to_be_clausified_97) ).

fof(c_0_67,axiom,
    ( lhs_atom97
    | ~ $true ),
    file('<stdin>',to_be_clausified_96) ).

fof(c_0_68,axiom,
    ( lhs_atom96
    | ~ $true ),
    file('<stdin>',to_be_clausified_95) ).

fof(c_0_69,axiom,
    ( lhs_atom95
    | ~ $true ),
    file('<stdin>',to_be_clausified_94) ).

fof(c_0_70,axiom,
    ( lhs_atom94
    | ~ $true ),
    file('<stdin>',to_be_clausified_93) ).

fof(c_0_71,axiom,
    ( lhs_atom93
    | ~ $true ),
    file('<stdin>',to_be_clausified_92) ).

fof(c_0_72,axiom,
    ( lhs_atom92
    | ~ $true ),
    file('<stdin>',to_be_clausified_91) ).

fof(c_0_73,axiom,
    ( lhs_atom91
    | ~ $true ),
    file('<stdin>',to_be_clausified_90) ).

fof(c_0_74,axiom,
    ( lhs_atom90
    | ~ $true ),
    file('<stdin>',to_be_clausified_89) ).

fof(c_0_75,axiom,
    ( lhs_atom89
    | ~ $true ),
    file('<stdin>',to_be_clausified_88) ).

fof(c_0_76,axiom,
    ( lhs_atom88
    | ~ $true ),
    file('<stdin>',to_be_clausified_87) ).

fof(c_0_77,axiom,
    ( lhs_atom87
    | ~ $true ),
    file('<stdin>',to_be_clausified_86) ).

fof(c_0_78,axiom,
    ( lhs_atom86
    | ~ $true ),
    file('<stdin>',to_be_clausified_85) ).

fof(c_0_79,axiom,
    ( lhs_atom85
    | ~ $true ),
    file('<stdin>',to_be_clausified_84) ).

fof(c_0_80,axiom,
    ( lhs_atom84
    | ~ $true ),
    file('<stdin>',to_be_clausified_83) ).

fof(c_0_81,axiom,
    ( lhs_atom83
    | ~ $true ),
    file('<stdin>',to_be_clausified_82) ).

fof(c_0_82,axiom,
    ( lhs_atom82
    | ~ $true ),
    file('<stdin>',to_be_clausified_81) ).

fof(c_0_83,axiom,
    ( lhs_atom81
    | ~ $true ),
    file('<stdin>',to_be_clausified_80) ).

fof(c_0_84,axiom,
    ( lhs_atom80
    | ~ $true ),
    file('<stdin>',to_be_clausified_79) ).

fof(c_0_85,axiom,
    ( lhs_atom79
    | ~ $true ),
    file('<stdin>',to_be_clausified_78) ).

fof(c_0_86,axiom,
    ( lhs_atom78
    | ~ $true ),
    file('<stdin>',to_be_clausified_77) ).

fof(c_0_87,axiom,
    ( lhs_atom77
    | ~ $true ),
    file('<stdin>',to_be_clausified_76) ).

fof(c_0_88,axiom,
    ( lhs_atom76
    | ~ $true ),
    file('<stdin>',to_be_clausified_75) ).

fof(c_0_89,axiom,
    ( lhs_atom75
    | ~ $true ),
    file('<stdin>',to_be_clausified_74) ).

fof(c_0_90,axiom,
    ( lhs_atom74
    | ~ $true ),
    file('<stdin>',to_be_clausified_73) ).

fof(c_0_91,axiom,
    ( lhs_atom73
    | ~ $true ),
    file('<stdin>',to_be_clausified_72) ).

fof(c_0_92,axiom,
    ( lhs_atom72
    | ~ $true ),
    file('<stdin>',to_be_clausified_71) ).

fof(c_0_93,axiom,
    ( lhs_atom71
    | ~ $true ),
    file('<stdin>',to_be_clausified_70) ).

fof(c_0_94,axiom,
    ( lhs_atom70
    | ~ $true ),
    file('<stdin>',to_be_clausified_69) ).

fof(c_0_95,axiom,
    ( lhs_atom69
    | ~ $true ),
    file('<stdin>',to_be_clausified_68) ).

fof(c_0_96,axiom,
    ( lhs_atom68
    | ~ $true ),
    file('<stdin>',to_be_clausified_67) ).

fof(c_0_97,axiom,
    ( lhs_atom67
    | ~ $true ),
    file('<stdin>',to_be_clausified_66) ).

fof(c_0_98,axiom,
    ( lhs_atom66
    | ~ $true ),
    file('<stdin>',to_be_clausified_65) ).

fof(c_0_99,axiom,
    ( lhs_atom65
    | ~ $true ),
    file('<stdin>',to_be_clausified_64) ).

fof(c_0_100,axiom,
    ( lhs_atom64
    | ~ $true ),
    file('<stdin>',to_be_clausified_63) ).

fof(c_0_101,axiom,
    ( lhs_atom63
    | ~ $true ),
    file('<stdin>',to_be_clausified_62) ).

fof(c_0_102,axiom,
    ( lhs_atom62
    | ~ $true ),
    file('<stdin>',to_be_clausified_61) ).

fof(c_0_103,axiom,
    ( lhs_atom61
    | ~ $true ),
    file('<stdin>',to_be_clausified_60) ).

fof(c_0_104,axiom,
    ( lhs_atom60
    | ~ $true ),
    file('<stdin>',to_be_clausified_59) ).

fof(c_0_105,axiom,
    ( lhs_atom59
    | ~ $true ),
    file('<stdin>',to_be_clausified_58) ).

fof(c_0_106,axiom,
    ( lhs_atom58
    | ~ $true ),
    file('<stdin>',to_be_clausified_57) ).

fof(c_0_107,axiom,
    ( lhs_atom57
    | ~ $true ),
    file('<stdin>',to_be_clausified_56) ).

fof(c_0_108,axiom,
    ( lhs_atom56
    | ~ $true ),
    file('<stdin>',to_be_clausified_55) ).

fof(c_0_109,axiom,
    ( lhs_atom55
    | ~ $true ),
    file('<stdin>',to_be_clausified_54) ).

fof(c_0_110,axiom,
    ( lhs_atom54
    | ~ $true ),
    file('<stdin>',to_be_clausified_53) ).

fof(c_0_111,axiom,
    ( lhs_atom53
    | ~ $true ),
    file('<stdin>',to_be_clausified_52) ).

fof(c_0_112,axiom,
    ( lhs_atom52
    | ~ $true ),
    file('<stdin>',to_be_clausified_51) ).

fof(c_0_113,axiom,
    ( lhs_atom51
    | ~ $true ),
    file('<stdin>',to_be_clausified_50) ).

fof(c_0_114,axiom,
    ( lhs_atom50
    | ~ $true ),
    file('<stdin>',to_be_clausified_49) ).

fof(c_0_115,axiom,
    ( lhs_atom49
    | ~ $true ),
    file('<stdin>',to_be_clausified_48) ).

fof(c_0_116,axiom,
    ( lhs_atom48
    | ~ $true ),
    file('<stdin>',to_be_clausified_47) ).

fof(c_0_117,axiom,
    ( lhs_atom47
    | ~ $true ),
    file('<stdin>',to_be_clausified_46) ).

fof(c_0_118,axiom,
    ( lhs_atom38
    | ~ $true ),
    file('<stdin>',to_be_clausified_37) ).

fof(c_0_119,axiom,
    ( lhs_atom35
    | ~ $true ),
    file('<stdin>',to_be_clausified_34) ).

fof(c_0_120,axiom,
    ( lhs_atom22
    | ~ $true ),
    file('<stdin>',to_be_clausified_21) ).

fof(c_0_121,axiom,
    ( lhs_atom12
    | ~ $true ),
    file('<stdin>',to_be_clausified_11) ).

fof(c_0_122,axiom,
    ( lhs_atom9
    | ~ $true ),
    file('<stdin>',to_be_clausified_8) ).

fof(c_0_123,axiom,
    ( lhs_atom8
    | ~ $true ),
    file('<stdin>',to_be_clausified_7) ).

fof(c_0_124,axiom,
    ( lhs_atom5
    | ~ $true ),
    file('<stdin>',to_be_clausified_4) ).

fof(c_0_125,axiom,
    ( lhs_atom3
    | ~ $true ),
    file('<stdin>',to_be_clausified_2) ).

fof(c_0_126,plain,
    ! [X11,X2,X3,X12,X4,X5,X6] : lhs_atom13(X11,X2,X3,X12,X4,X5,X6),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_127,plain,
    ! [X19,X20,X21,X4,X5,X6] : lhs_atom46(X19,X20,X21,X4,X5,X6),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_128,plain,
    ! [X2,X3,X16,X4,X5,X6] : lhs_atom39(X2,X3,X16,X4,X5,X6),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_129,plain,
    ! [X7,X2,X3,X4,X5,X6] : lhs_atom7(X7,X2,X3,X4,X5,X6),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_130,plain,
    ! [X10,X8,X9,X4,X5,X6] : lhs_atom6(X10,X8,X9,X4,X5,X6),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_131,plain,
    ! [X1,X2,X3,X4,X5,X6] : lhs_atom1(X1,X2,X3,X4,X5,X6),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_132,plain,
    ! [X2,X16,X6] : lhs_atom45(X2,X16,X6),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_133,plain,
    ! [X2,X16,X6] : lhs_atom26(X2,X16,X6),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_134,plain,
    ! [X2,X16,X6] : lhs_atom19(X2,X16,X6),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_135,plain,
    ! [X7,X6] : lhs_atom126(X7,X6),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_136,plain,
    ! [X17,X7] : lhs_atom37(X17,X7),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_137,plain,
    ! [X17,X7] : lhs_atom27(X17,X7),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_138,plain,
    ! [X8,X9] : lhs_atom20(X8,X9),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_139,plain,
    ! [X8,X9] : lhs_atom4(X8,X9),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_140,plain,
    ! [X9] : lhs_atom44(X9),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_141,plain,
    ! [X9] : lhs_atom43(X9),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_142,plain,
    ! [X14] : lhs_atom42(X14),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_143,plain,
    ! [X7] : lhs_atom41(X7),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_144,plain,
    ! [X15] : lhs_atom40(X15),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_145,plain,
    ! [X9] : lhs_atom36(X9),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_146,plain,
    ! [X18] : lhs_atom34(X18),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_147,plain,
    ! [X7] : lhs_atom33(X7),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_148,plain,
    ! [X7] : lhs_atom32(X7),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_149,plain,
    ! [X14] : lhs_atom31(X14),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_150,plain,
    ! [X7] : lhs_atom30(X7),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_151,plain,
    ! [X18] : lhs_atom29(X18),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_152,plain,
    ! [X14] : lhs_atom28(X14),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_153,plain,
    ! [X9] : lhs_atom25(X9),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_154,plain,
    ! [X14] : lhs_atom24(X14),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_155,plain,
    ! [X7] : lhs_atom23(X7),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_156,plain,
    ! [X7] : lhs_atom21(X7),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_157,plain,
    ! [X15] : lhs_atom18(X15),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_158,plain,
    ! [X7] : lhs_atom17(X7),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_159,plain,
    ! [X1] : lhs_atom16(X1),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_160,plain,
    ! [X14] : lhs_atom15(X14),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_161,plain,
    ! [X13] : lhs_atom14(X13),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_162,plain,
    ! [X7] : lhs_atom11(X7),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_163,plain,
    ! [X7] : lhs_atom10(X7),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_164,plain,
    ! [X7] : lhs_atom2(X7),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_165,plain,
    lhs_atom125,
    inference(fof_simplification,[status(thm)],[c_0_39]) ).

fof(c_0_166,plain,
    lhs_atom124,
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_167,plain,
    lhs_atom123,
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_168,plain,
    lhs_atom122,
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_169,plain,
    lhs_atom121,
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_170,plain,
    lhs_atom120,
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_171,plain,
    lhs_atom119,
    inference(fof_simplification,[status(thm)],[c_0_45]) ).

fof(c_0_172,plain,
    lhs_atom118,
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_173,plain,
    lhs_atom117,
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_174,plain,
    lhs_atom116,
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_175,plain,
    lhs_atom115,
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_176,plain,
    lhs_atom114,
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_177,plain,
    lhs_atom113,
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_178,plain,
    lhs_atom112,
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_179,plain,
    lhs_atom111,
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_180,plain,
    lhs_atom110,
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_181,plain,
    lhs_atom109,
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_182,plain,
    lhs_atom108,
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_183,plain,
    lhs_atom107,
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_184,plain,
    lhs_atom106,
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_185,plain,
    lhs_atom105,
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_186,plain,
    lhs_atom104,
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_187,plain,
    lhs_atom103,
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_188,plain,
    lhs_atom102,
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_189,plain,
    lhs_atom101,
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_190,plain,
    lhs_atom100,
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_191,plain,
    lhs_atom99,
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_192,plain,
    lhs_atom98,
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_193,plain,
    lhs_atom97,
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_194,plain,
    lhs_atom96,
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_195,plain,
    lhs_atom95,
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_196,plain,
    lhs_atom94,
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_197,plain,
    lhs_atom93,
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_198,plain,
    lhs_atom92,
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_199,plain,
    lhs_atom91,
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_200,plain,
    lhs_atom90,
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_201,plain,
    lhs_atom89,
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_202,plain,
    lhs_atom88,
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_203,plain,
    lhs_atom87,
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_204,plain,
    lhs_atom86,
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_205,plain,
    lhs_atom85,
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_206,plain,
    lhs_atom84,
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_207,plain,
    lhs_atom83,
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_208,plain,
    lhs_atom82,
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_209,plain,
    lhs_atom81,
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_210,plain,
    lhs_atom80,
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_211,plain,
    lhs_atom79,
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_212,plain,
    lhs_atom78,
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_213,plain,
    lhs_atom77,
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_214,plain,
    lhs_atom76,
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_215,plain,
    lhs_atom75,
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_216,plain,
    lhs_atom74,
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_217,plain,
    lhs_atom73,
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_218,plain,
    lhs_atom72,
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_219,plain,
    lhs_atom71,
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_220,plain,
    lhs_atom70,
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_221,plain,
    lhs_atom69,
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_222,plain,
    lhs_atom68,
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_223,plain,
    lhs_atom67,
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_224,plain,
    lhs_atom66,
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_225,plain,
    lhs_atom65,
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_226,plain,
    lhs_atom64,
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_227,plain,
    lhs_atom63,
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_228,plain,
    lhs_atom62,
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_229,plain,
    lhs_atom61,
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_230,plain,
    lhs_atom60,
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_231,plain,
    lhs_atom59,
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_232,plain,
    lhs_atom58,
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_233,plain,
    lhs_atom57,
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_234,plain,
    lhs_atom56,
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_235,plain,
    lhs_atom55,
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_236,plain,
    lhs_atom54,
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_237,plain,
    lhs_atom53,
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_238,plain,
    lhs_atom52,
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_239,plain,
    lhs_atom51,
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_240,plain,
    lhs_atom50,
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_241,plain,
    lhs_atom49,
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_242,plain,
    lhs_atom48,
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_243,plain,
    lhs_atom47,
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_244,plain,
    lhs_atom38,
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_245,plain,
    lhs_atom35,
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_246,plain,
    lhs_atom22,
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_247,plain,
    lhs_atom12,
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_248,plain,
    lhs_atom9,
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_249,plain,
    lhs_atom8,
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_250,plain,
    lhs_atom5,
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_251,plain,
    lhs_atom3,
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_252,plain,
    ! [X13,X14,X15,X16,X17,X18,X19] : lhs_atom13(X13,X14,X15,X16,X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_126]) ).

fof(c_0_253,plain,
    ! [X22,X23,X24,X25,X26,X27] : lhs_atom46(X22,X23,X24,X25,X26,X27),
    inference(variable_rename,[status(thm)],[c_0_127]) ).

fof(c_0_254,plain,
    ! [X17,X18,X19,X20,X21,X22] : lhs_atom39(X17,X18,X19,X20,X21,X22),
    inference(variable_rename,[status(thm)],[c_0_128]) ).

fof(c_0_255,plain,
    ! [X8,X9,X10,X11,X12,X13] : lhs_atom7(X8,X9,X10,X11,X12,X13),
    inference(variable_rename,[status(thm)],[c_0_129]) ).

fof(c_0_256,plain,
    ! [X11,X12,X13,X14,X15,X16] : lhs_atom6(X11,X12,X13,X14,X15,X16),
    inference(variable_rename,[status(thm)],[c_0_130]) ).

fof(c_0_257,plain,
    ! [X7,X8,X9,X10,X11,X12] : lhs_atom1(X7,X8,X9,X10,X11,X12),
    inference(variable_rename,[status(thm)],[c_0_131]) ).

fof(c_0_258,plain,
    ! [X17,X18,X19] : lhs_atom45(X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_132]) ).

fof(c_0_259,plain,
    ! [X17,X18,X19] : lhs_atom26(X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_133]) ).

fof(c_0_260,plain,
    ! [X17,X18,X19] : lhs_atom19(X17,X18,X19),
    inference(variable_rename,[status(thm)],[c_0_134]) ).

fof(c_0_261,plain,
    ! [X8,X9] : lhs_atom126(X8,X9),
    inference(variable_rename,[status(thm)],[c_0_135]) ).

fof(c_0_262,plain,
    ! [X18,X19] : lhs_atom37(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_136]) ).

fof(c_0_263,plain,
    ! [X18,X19] : lhs_atom27(X18,X19),
    inference(variable_rename,[status(thm)],[c_0_137]) ).

fof(c_0_264,plain,
    ! [X10,X11] : lhs_atom20(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_138]) ).

fof(c_0_265,plain,
    ! [X10,X11] : lhs_atom4(X10,X11),
    inference(variable_rename,[status(thm)],[c_0_139]) ).

fof(c_0_266,plain,
    ! [X10] : lhs_atom44(X10),
    inference(variable_rename,[status(thm)],[c_0_140]) ).

fof(c_0_267,plain,
    ! [X10] : lhs_atom43(X10),
    inference(variable_rename,[status(thm)],[c_0_141]) ).

fof(c_0_268,plain,
    ! [X15] : lhs_atom42(X15),
    inference(variable_rename,[status(thm)],[c_0_142]) ).

fof(c_0_269,plain,
    ! [X8] : lhs_atom41(X8),
    inference(variable_rename,[status(thm)],[c_0_143]) ).

fof(c_0_270,plain,
    ! [X16] : lhs_atom40(X16),
    inference(variable_rename,[status(thm)],[c_0_144]) ).

fof(c_0_271,plain,
    ! [X10] : lhs_atom36(X10),
    inference(variable_rename,[status(thm)],[c_0_145]) ).

fof(c_0_272,plain,
    ! [X19] : lhs_atom34(X19),
    inference(variable_rename,[status(thm)],[c_0_146]) ).

fof(c_0_273,plain,
    ! [X8] : lhs_atom33(X8),
    inference(variable_rename,[status(thm)],[c_0_147]) ).

fof(c_0_274,plain,
    ! [X8] : lhs_atom32(X8),
    inference(variable_rename,[status(thm)],[c_0_148]) ).

fof(c_0_275,plain,
    ! [X15] : lhs_atom31(X15),
    inference(variable_rename,[status(thm)],[c_0_149]) ).

fof(c_0_276,plain,
    ! [X8] : lhs_atom30(X8),
    inference(variable_rename,[status(thm)],[c_0_150]) ).

fof(c_0_277,plain,
    ! [X19] : lhs_atom29(X19),
    inference(variable_rename,[status(thm)],[c_0_151]) ).

fof(c_0_278,plain,
    ! [X15] : lhs_atom28(X15),
    inference(variable_rename,[status(thm)],[c_0_152]) ).

fof(c_0_279,plain,
    ! [X10] : lhs_atom25(X10),
    inference(variable_rename,[status(thm)],[c_0_153]) ).

fof(c_0_280,plain,
    ! [X15] : lhs_atom24(X15),
    inference(variable_rename,[status(thm)],[c_0_154]) ).

fof(c_0_281,plain,
    ! [X8] : lhs_atom23(X8),
    inference(variable_rename,[status(thm)],[c_0_155]) ).

fof(c_0_282,plain,
    ! [X8] : lhs_atom21(X8),
    inference(variable_rename,[status(thm)],[c_0_156]) ).

fof(c_0_283,plain,
    ! [X16] : lhs_atom18(X16),
    inference(variable_rename,[status(thm)],[c_0_157]) ).

fof(c_0_284,plain,
    ! [X8] : lhs_atom17(X8),
    inference(variable_rename,[status(thm)],[c_0_158]) ).

fof(c_0_285,plain,
    ! [X2] : lhs_atom16(X2),
    inference(variable_rename,[status(thm)],[c_0_159]) ).

fof(c_0_286,plain,
    ! [X15] : lhs_atom15(X15),
    inference(variable_rename,[status(thm)],[c_0_160]) ).

fof(c_0_287,plain,
    ! [X14] : lhs_atom14(X14),
    inference(variable_rename,[status(thm)],[c_0_161]) ).

fof(c_0_288,plain,
    ! [X8] : lhs_atom11(X8),
    inference(variable_rename,[status(thm)],[c_0_162]) ).

fof(c_0_289,plain,
    ! [X8] : lhs_atom10(X8),
    inference(variable_rename,[status(thm)],[c_0_163]) ).

fof(c_0_290,plain,
    ! [X8] : lhs_atom2(X8),
    inference(variable_rename,[status(thm)],[c_0_164]) ).

fof(c_0_291,plain,
    lhs_atom125,
    c_0_165 ).

fof(c_0_292,plain,
    lhs_atom124,
    c_0_166 ).

fof(c_0_293,plain,
    lhs_atom123,
    c_0_167 ).

fof(c_0_294,plain,
    lhs_atom122,
    c_0_168 ).

fof(c_0_295,plain,
    lhs_atom121,
    c_0_169 ).

fof(c_0_296,plain,
    lhs_atom120,
    c_0_170 ).

fof(c_0_297,plain,
    lhs_atom119,
    c_0_171 ).

fof(c_0_298,plain,
    lhs_atom118,
    c_0_172 ).

fof(c_0_299,plain,
    lhs_atom117,
    c_0_173 ).

fof(c_0_300,plain,
    lhs_atom116,
    c_0_174 ).

fof(c_0_301,plain,
    lhs_atom115,
    c_0_175 ).

fof(c_0_302,plain,
    lhs_atom114,
    c_0_176 ).

fof(c_0_303,plain,
    lhs_atom113,
    c_0_177 ).

fof(c_0_304,plain,
    lhs_atom112,
    c_0_178 ).

fof(c_0_305,plain,
    lhs_atom111,
    c_0_179 ).

fof(c_0_306,plain,
    lhs_atom110,
    c_0_180 ).

fof(c_0_307,plain,
    lhs_atom109,
    c_0_181 ).

fof(c_0_308,plain,
    lhs_atom108,
    c_0_182 ).

fof(c_0_309,plain,
    lhs_atom107,
    c_0_183 ).

fof(c_0_310,plain,
    lhs_atom106,
    c_0_184 ).

fof(c_0_311,plain,
    lhs_atom105,
    c_0_185 ).

fof(c_0_312,plain,
    lhs_atom104,
    c_0_186 ).

fof(c_0_313,plain,
    lhs_atom103,
    c_0_187 ).

fof(c_0_314,plain,
    lhs_atom102,
    c_0_188 ).

fof(c_0_315,plain,
    lhs_atom101,
    c_0_189 ).

fof(c_0_316,plain,
    lhs_atom100,
    c_0_190 ).

fof(c_0_317,plain,
    lhs_atom99,
    c_0_191 ).

fof(c_0_318,plain,
    lhs_atom98,
    c_0_192 ).

fof(c_0_319,plain,
    lhs_atom97,
    c_0_193 ).

fof(c_0_320,plain,
    lhs_atom96,
    c_0_194 ).

fof(c_0_321,plain,
    lhs_atom95,
    c_0_195 ).

fof(c_0_322,plain,
    lhs_atom94,
    c_0_196 ).

fof(c_0_323,plain,
    lhs_atom93,
    c_0_197 ).

fof(c_0_324,plain,
    lhs_atom92,
    c_0_198 ).

fof(c_0_325,plain,
    lhs_atom91,
    c_0_199 ).

fof(c_0_326,plain,
    lhs_atom90,
    c_0_200 ).

fof(c_0_327,plain,
    lhs_atom89,
    c_0_201 ).

fof(c_0_328,plain,
    lhs_atom88,
    c_0_202 ).

fof(c_0_329,plain,
    lhs_atom87,
    c_0_203 ).

fof(c_0_330,plain,
    lhs_atom86,
    c_0_204 ).

fof(c_0_331,plain,
    lhs_atom85,
    c_0_205 ).

fof(c_0_332,plain,
    lhs_atom84,
    c_0_206 ).

fof(c_0_333,plain,
    lhs_atom83,
    c_0_207 ).

fof(c_0_334,plain,
    lhs_atom82,
    c_0_208 ).

fof(c_0_335,plain,
    lhs_atom81,
    c_0_209 ).

fof(c_0_336,plain,
    lhs_atom80,
    c_0_210 ).

fof(c_0_337,plain,
    lhs_atom79,
    c_0_211 ).

fof(c_0_338,plain,
    lhs_atom78,
    c_0_212 ).

fof(c_0_339,plain,
    lhs_atom77,
    c_0_213 ).

fof(c_0_340,plain,
    lhs_atom76,
    c_0_214 ).

fof(c_0_341,plain,
    lhs_atom75,
    c_0_215 ).

fof(c_0_342,plain,
    lhs_atom74,
    c_0_216 ).

fof(c_0_343,plain,
    lhs_atom73,
    c_0_217 ).

fof(c_0_344,plain,
    lhs_atom72,
    c_0_218 ).

fof(c_0_345,plain,
    lhs_atom71,
    c_0_219 ).

fof(c_0_346,plain,
    lhs_atom70,
    c_0_220 ).

fof(c_0_347,plain,
    lhs_atom69,
    c_0_221 ).

fof(c_0_348,plain,
    lhs_atom68,
    c_0_222 ).

fof(c_0_349,plain,
    lhs_atom67,
    c_0_223 ).

fof(c_0_350,plain,
    lhs_atom66,
    c_0_224 ).

fof(c_0_351,plain,
    lhs_atom65,
    c_0_225 ).

fof(c_0_352,plain,
    lhs_atom64,
    c_0_226 ).

fof(c_0_353,plain,
    lhs_atom63,
    c_0_227 ).

fof(c_0_354,plain,
    lhs_atom62,
    c_0_228 ).

fof(c_0_355,plain,
    lhs_atom61,
    c_0_229 ).

fof(c_0_356,plain,
    lhs_atom60,
    c_0_230 ).

fof(c_0_357,plain,
    lhs_atom59,
    c_0_231 ).

fof(c_0_358,plain,
    lhs_atom58,
    c_0_232 ).

fof(c_0_359,plain,
    lhs_atom57,
    c_0_233 ).

fof(c_0_360,plain,
    lhs_atom56,
    c_0_234 ).

fof(c_0_361,plain,
    lhs_atom55,
    c_0_235 ).

fof(c_0_362,plain,
    lhs_atom54,
    c_0_236 ).

fof(c_0_363,plain,
    lhs_atom53,
    c_0_237 ).

fof(c_0_364,plain,
    lhs_atom52,
    c_0_238 ).

fof(c_0_365,plain,
    lhs_atom51,
    c_0_239 ).

fof(c_0_366,plain,
    lhs_atom50,
    c_0_240 ).

fof(c_0_367,plain,
    lhs_atom49,
    c_0_241 ).

fof(c_0_368,plain,
    lhs_atom48,
    c_0_242 ).

fof(c_0_369,plain,
    lhs_atom47,
    c_0_243 ).

fof(c_0_370,plain,
    lhs_atom38,
    c_0_244 ).

fof(c_0_371,plain,
    lhs_atom35,
    c_0_245 ).

fof(c_0_372,plain,
    lhs_atom22,
    c_0_246 ).

fof(c_0_373,plain,
    lhs_atom12,
    c_0_247 ).

fof(c_0_374,plain,
    lhs_atom9,
    c_0_248 ).

fof(c_0_375,plain,
    lhs_atom8,
    c_0_249 ).

fof(c_0_376,plain,
    lhs_atom5,
    c_0_250 ).

fof(c_0_377,plain,
    lhs_atom3,
    c_0_251 ).

cnf(c_0_378,plain,
    lhs_atom13(X1,X2,X3,X4,X5,X6,X7),
    inference(split_conjunct,[status(thm)],[c_0_252]) ).

cnf(c_0_379,plain,
    lhs_atom46(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_253]) ).

cnf(c_0_380,plain,
    lhs_atom39(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_254]) ).

cnf(c_0_381,plain,
    lhs_atom7(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_255]) ).

cnf(c_0_382,plain,
    lhs_atom6(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_256]) ).

cnf(c_0_383,plain,
    lhs_atom1(X1,X2,X3,X4,X5,X6),
    inference(split_conjunct,[status(thm)],[c_0_257]) ).

cnf(c_0_384,plain,
    lhs_atom45(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_258]) ).

cnf(c_0_385,plain,
    lhs_atom26(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_259]) ).

cnf(c_0_386,plain,
    lhs_atom19(X1,X2,X3),
    inference(split_conjunct,[status(thm)],[c_0_260]) ).

cnf(c_0_387,plain,
    lhs_atom126(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_261]) ).

cnf(c_0_388,plain,
    lhs_atom37(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_262]) ).

cnf(c_0_389,plain,
    lhs_atom27(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_263]) ).

cnf(c_0_390,plain,
    lhs_atom20(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_264]) ).

cnf(c_0_391,plain,
    lhs_atom4(X1,X2),
    inference(split_conjunct,[status(thm)],[c_0_265]) ).

cnf(c_0_392,plain,
    lhs_atom44(X1),
    inference(split_conjunct,[status(thm)],[c_0_266]) ).

cnf(c_0_393,plain,
    lhs_atom43(X1),
    inference(split_conjunct,[status(thm)],[c_0_267]) ).

cnf(c_0_394,plain,
    lhs_atom42(X1),
    inference(split_conjunct,[status(thm)],[c_0_268]) ).

cnf(c_0_395,plain,
    lhs_atom41(X1),
    inference(split_conjunct,[status(thm)],[c_0_269]) ).

cnf(c_0_396,plain,
    lhs_atom40(X1),
    inference(split_conjunct,[status(thm)],[c_0_270]) ).

cnf(c_0_397,plain,
    lhs_atom36(X1),
    inference(split_conjunct,[status(thm)],[c_0_271]) ).

cnf(c_0_398,plain,
    lhs_atom34(X1),
    inference(split_conjunct,[status(thm)],[c_0_272]) ).

cnf(c_0_399,plain,
    lhs_atom33(X1),
    inference(split_conjunct,[status(thm)],[c_0_273]) ).

cnf(c_0_400,plain,
    lhs_atom32(X1),
    inference(split_conjunct,[status(thm)],[c_0_274]) ).

cnf(c_0_401,plain,
    lhs_atom31(X1),
    inference(split_conjunct,[status(thm)],[c_0_275]) ).

cnf(c_0_402,plain,
    lhs_atom30(X1),
    inference(split_conjunct,[status(thm)],[c_0_276]) ).

cnf(c_0_403,plain,
    lhs_atom29(X1),
    inference(split_conjunct,[status(thm)],[c_0_277]) ).

cnf(c_0_404,plain,
    lhs_atom28(X1),
    inference(split_conjunct,[status(thm)],[c_0_278]) ).

cnf(c_0_405,plain,
    lhs_atom25(X1),
    inference(split_conjunct,[status(thm)],[c_0_279]) ).

cnf(c_0_406,plain,
    lhs_atom24(X1),
    inference(split_conjunct,[status(thm)],[c_0_280]) ).

cnf(c_0_407,plain,
    lhs_atom23(X1),
    inference(split_conjunct,[status(thm)],[c_0_281]) ).

cnf(c_0_408,plain,
    lhs_atom21(X1),
    inference(split_conjunct,[status(thm)],[c_0_282]) ).

cnf(c_0_409,plain,
    lhs_atom18(X1),
    inference(split_conjunct,[status(thm)],[c_0_283]) ).

cnf(c_0_410,plain,
    lhs_atom17(X1),
    inference(split_conjunct,[status(thm)],[c_0_284]) ).

cnf(c_0_411,plain,
    lhs_atom16(X1),
    inference(split_conjunct,[status(thm)],[c_0_285]) ).

cnf(c_0_412,plain,
    lhs_atom15(X1),
    inference(split_conjunct,[status(thm)],[c_0_286]) ).

cnf(c_0_413,plain,
    lhs_atom14(X1),
    inference(split_conjunct,[status(thm)],[c_0_287]) ).

cnf(c_0_414,plain,
    lhs_atom11(X1),
    inference(split_conjunct,[status(thm)],[c_0_288]) ).

cnf(c_0_415,plain,
    lhs_atom10(X1),
    inference(split_conjunct,[status(thm)],[c_0_289]) ).

cnf(c_0_416,plain,
    lhs_atom2(X1),
    inference(split_conjunct,[status(thm)],[c_0_290]) ).

cnf(c_0_417,plain,
    lhs_atom125,
    inference(split_conjunct,[status(thm)],[c_0_291]) ).

cnf(c_0_418,plain,
    lhs_atom124,
    inference(split_conjunct,[status(thm)],[c_0_292]) ).

cnf(c_0_419,plain,
    lhs_atom123,
    inference(split_conjunct,[status(thm)],[c_0_293]) ).

cnf(c_0_420,plain,
    lhs_atom122,
    inference(split_conjunct,[status(thm)],[c_0_294]) ).

cnf(c_0_421,plain,
    lhs_atom121,
    inference(split_conjunct,[status(thm)],[c_0_295]) ).

cnf(c_0_422,plain,
    lhs_atom120,
    inference(split_conjunct,[status(thm)],[c_0_296]) ).

cnf(c_0_423,plain,
    lhs_atom119,
    inference(split_conjunct,[status(thm)],[c_0_297]) ).

cnf(c_0_424,plain,
    lhs_atom118,
    inference(split_conjunct,[status(thm)],[c_0_298]) ).

cnf(c_0_425,plain,
    lhs_atom117,
    inference(split_conjunct,[status(thm)],[c_0_299]) ).

cnf(c_0_426,plain,
    lhs_atom116,
    inference(split_conjunct,[status(thm)],[c_0_300]) ).

cnf(c_0_427,plain,
    lhs_atom115,
    inference(split_conjunct,[status(thm)],[c_0_301]) ).

cnf(c_0_428,plain,
    lhs_atom114,
    inference(split_conjunct,[status(thm)],[c_0_302]) ).

cnf(c_0_429,plain,
    lhs_atom113,
    inference(split_conjunct,[status(thm)],[c_0_303]) ).

cnf(c_0_430,plain,
    lhs_atom112,
    inference(split_conjunct,[status(thm)],[c_0_304]) ).

cnf(c_0_431,plain,
    lhs_atom111,
    inference(split_conjunct,[status(thm)],[c_0_305]) ).

cnf(c_0_432,plain,
    lhs_atom110,
    inference(split_conjunct,[status(thm)],[c_0_306]) ).

cnf(c_0_433,plain,
    lhs_atom109,
    inference(split_conjunct,[status(thm)],[c_0_307]) ).

cnf(c_0_434,plain,
    lhs_atom108,
    inference(split_conjunct,[status(thm)],[c_0_308]) ).

cnf(c_0_435,plain,
    lhs_atom107,
    inference(split_conjunct,[status(thm)],[c_0_309]) ).

cnf(c_0_436,plain,
    lhs_atom106,
    inference(split_conjunct,[status(thm)],[c_0_310]) ).

cnf(c_0_437,plain,
    lhs_atom105,
    inference(split_conjunct,[status(thm)],[c_0_311]) ).

cnf(c_0_438,plain,
    lhs_atom104,
    inference(split_conjunct,[status(thm)],[c_0_312]) ).

cnf(c_0_439,plain,
    lhs_atom103,
    inference(split_conjunct,[status(thm)],[c_0_313]) ).

cnf(c_0_440,plain,
    lhs_atom102,
    inference(split_conjunct,[status(thm)],[c_0_314]) ).

cnf(c_0_441,plain,
    lhs_atom101,
    inference(split_conjunct,[status(thm)],[c_0_315]) ).

cnf(c_0_442,plain,
    lhs_atom100,
    inference(split_conjunct,[status(thm)],[c_0_316]) ).

cnf(c_0_443,plain,
    lhs_atom99,
    inference(split_conjunct,[status(thm)],[c_0_317]) ).

cnf(c_0_444,plain,
    lhs_atom98,
    inference(split_conjunct,[status(thm)],[c_0_318]) ).

cnf(c_0_445,plain,
    lhs_atom97,
    inference(split_conjunct,[status(thm)],[c_0_319]) ).

cnf(c_0_446,plain,
    lhs_atom96,
    inference(split_conjunct,[status(thm)],[c_0_320]) ).

cnf(c_0_447,plain,
    lhs_atom95,
    inference(split_conjunct,[status(thm)],[c_0_321]) ).

cnf(c_0_448,plain,
    lhs_atom94,
    inference(split_conjunct,[status(thm)],[c_0_322]) ).

cnf(c_0_449,plain,
    lhs_atom93,
    inference(split_conjunct,[status(thm)],[c_0_323]) ).

cnf(c_0_450,plain,
    lhs_atom92,
    inference(split_conjunct,[status(thm)],[c_0_324]) ).

cnf(c_0_451,plain,
    lhs_atom91,
    inference(split_conjunct,[status(thm)],[c_0_325]) ).

cnf(c_0_452,plain,
    lhs_atom90,
    inference(split_conjunct,[status(thm)],[c_0_326]) ).

cnf(c_0_453,plain,
    lhs_atom89,
    inference(split_conjunct,[status(thm)],[c_0_327]) ).

cnf(c_0_454,plain,
    lhs_atom88,
    inference(split_conjunct,[status(thm)],[c_0_328]) ).

cnf(c_0_455,plain,
    lhs_atom87,
    inference(split_conjunct,[status(thm)],[c_0_329]) ).

cnf(c_0_456,plain,
    lhs_atom86,
    inference(split_conjunct,[status(thm)],[c_0_330]) ).

cnf(c_0_457,plain,
    lhs_atom85,
    inference(split_conjunct,[status(thm)],[c_0_331]) ).

cnf(c_0_458,plain,
    lhs_atom84,
    inference(split_conjunct,[status(thm)],[c_0_332]) ).

cnf(c_0_459,plain,
    lhs_atom83,
    inference(split_conjunct,[status(thm)],[c_0_333]) ).

cnf(c_0_460,plain,
    lhs_atom82,
    inference(split_conjunct,[status(thm)],[c_0_334]) ).

cnf(c_0_461,plain,
    lhs_atom81,
    inference(split_conjunct,[status(thm)],[c_0_335]) ).

cnf(c_0_462,plain,
    lhs_atom80,
    inference(split_conjunct,[status(thm)],[c_0_336]) ).

cnf(c_0_463,plain,
    lhs_atom79,
    inference(split_conjunct,[status(thm)],[c_0_337]) ).

cnf(c_0_464,plain,
    lhs_atom78,
    inference(split_conjunct,[status(thm)],[c_0_338]) ).

cnf(c_0_465,plain,
    lhs_atom77,
    inference(split_conjunct,[status(thm)],[c_0_339]) ).

cnf(c_0_466,plain,
    lhs_atom76,
    inference(split_conjunct,[status(thm)],[c_0_340]) ).

cnf(c_0_467,plain,
    lhs_atom75,
    inference(split_conjunct,[status(thm)],[c_0_341]) ).

cnf(c_0_468,plain,
    lhs_atom74,
    inference(split_conjunct,[status(thm)],[c_0_342]) ).

cnf(c_0_469,plain,
    lhs_atom73,
    inference(split_conjunct,[status(thm)],[c_0_343]) ).

cnf(c_0_470,plain,
    lhs_atom72,
    inference(split_conjunct,[status(thm)],[c_0_344]) ).

cnf(c_0_471,plain,
    lhs_atom71,
    inference(split_conjunct,[status(thm)],[c_0_345]) ).

cnf(c_0_472,plain,
    lhs_atom70,
    inference(split_conjunct,[status(thm)],[c_0_346]) ).

cnf(c_0_473,plain,
    lhs_atom69,
    inference(split_conjunct,[status(thm)],[c_0_347]) ).

cnf(c_0_474,plain,
    lhs_atom68,
    inference(split_conjunct,[status(thm)],[c_0_348]) ).

cnf(c_0_475,plain,
    lhs_atom67,
    inference(split_conjunct,[status(thm)],[c_0_349]) ).

cnf(c_0_476,plain,
    lhs_atom66,
    inference(split_conjunct,[status(thm)],[c_0_350]) ).

cnf(c_0_477,plain,
    lhs_atom65,
    inference(split_conjunct,[status(thm)],[c_0_351]) ).

cnf(c_0_478,plain,
    lhs_atom64,
    inference(split_conjunct,[status(thm)],[c_0_352]) ).

cnf(c_0_479,plain,
    lhs_atom63,
    inference(split_conjunct,[status(thm)],[c_0_353]) ).

cnf(c_0_480,plain,
    lhs_atom62,
    inference(split_conjunct,[status(thm)],[c_0_354]) ).

cnf(c_0_481,plain,
    lhs_atom61,
    inference(split_conjunct,[status(thm)],[c_0_355]) ).

cnf(c_0_482,plain,
    lhs_atom60,
    inference(split_conjunct,[status(thm)],[c_0_356]) ).

cnf(c_0_483,plain,
    lhs_atom59,
    inference(split_conjunct,[status(thm)],[c_0_357]) ).

cnf(c_0_484,plain,
    lhs_atom58,
    inference(split_conjunct,[status(thm)],[c_0_358]) ).

cnf(c_0_485,plain,
    lhs_atom57,
    inference(split_conjunct,[status(thm)],[c_0_359]) ).

cnf(c_0_486,plain,
    lhs_atom56,
    inference(split_conjunct,[status(thm)],[c_0_360]) ).

cnf(c_0_487,plain,
    lhs_atom55,
    inference(split_conjunct,[status(thm)],[c_0_361]) ).

cnf(c_0_488,plain,
    lhs_atom54,
    inference(split_conjunct,[status(thm)],[c_0_362]) ).

cnf(c_0_489,plain,
    lhs_atom53,
    inference(split_conjunct,[status(thm)],[c_0_363]) ).

cnf(c_0_490,plain,
    lhs_atom52,
    inference(split_conjunct,[status(thm)],[c_0_364]) ).

cnf(c_0_491,plain,
    lhs_atom51,
    inference(split_conjunct,[status(thm)],[c_0_365]) ).

cnf(c_0_492,plain,
    lhs_atom50,
    inference(split_conjunct,[status(thm)],[c_0_366]) ).

cnf(c_0_493,plain,
    lhs_atom49,
    inference(split_conjunct,[status(thm)],[c_0_367]) ).

cnf(c_0_494,plain,
    lhs_atom48,
    inference(split_conjunct,[status(thm)],[c_0_368]) ).

cnf(c_0_495,plain,
    lhs_atom47,
    inference(split_conjunct,[status(thm)],[c_0_369]) ).

cnf(c_0_496,plain,
    lhs_atom38,
    inference(split_conjunct,[status(thm)],[c_0_370]) ).

cnf(c_0_497,plain,
    lhs_atom35,
    inference(split_conjunct,[status(thm)],[c_0_371]) ).

cnf(c_0_498,plain,
    lhs_atom22,
    inference(split_conjunct,[status(thm)],[c_0_372]) ).

cnf(c_0_499,plain,
    lhs_atom12,
    inference(split_conjunct,[status(thm)],[c_0_373]) ).

cnf(c_0_500,plain,
    lhs_atom9,
    inference(split_conjunct,[status(thm)],[c_0_374]) ).

cnf(c_0_501,plain,
    lhs_atom8,
    inference(split_conjunct,[status(thm)],[c_0_375]) ).

cnf(c_0_502,plain,
    lhs_atom5,
    inference(split_conjunct,[status(thm)],[c_0_376]) ).

cnf(c_0_503,plain,
    lhs_atom3,
    inference(split_conjunct,[status(thm)],[c_0_377]) ).

cnf(c_0_504,plain,
    lhs_atom13(X1,X2,X3,X4,X5,X6,X7),
    c_0_378,
    [final] ).

cnf(c_0_505,plain,
    lhs_atom46(X1,X2,X3,X4,X5,X6),
    c_0_379,
    [final] ).

cnf(c_0_506,plain,
    lhs_atom39(X1,X2,X3,X4,X5,X6),
    c_0_380,
    [final] ).

cnf(c_0_507,plain,
    lhs_atom7(X1,X2,X3,X4,X5,X6),
    c_0_381,
    [final] ).

cnf(c_0_508,plain,
    lhs_atom6(X1,X2,X3,X4,X5,X6),
    c_0_382,
    [final] ).

cnf(c_0_509,plain,
    lhs_atom1(X1,X2,X3,X4,X5,X6),
    c_0_383,
    [final] ).

cnf(c_0_510,plain,
    lhs_atom45(X1,X2,X3),
    c_0_384,
    [final] ).

cnf(c_0_511,plain,
    lhs_atom26(X1,X2,X3),
    c_0_385,
    [final] ).

cnf(c_0_512,plain,
    lhs_atom19(X1,X2,X3),
    c_0_386,
    [final] ).

cnf(c_0_513,plain,
    lhs_atom126(X1,X2),
    c_0_387,
    [final] ).

cnf(c_0_514,plain,
    lhs_atom37(X1,X2),
    c_0_388,
    [final] ).

cnf(c_0_515,plain,
    lhs_atom27(X1,X2),
    c_0_389,
    [final] ).

cnf(c_0_516,plain,
    lhs_atom20(X1,X2),
    c_0_390,
    [final] ).

cnf(c_0_517,plain,
    lhs_atom4(X1,X2),
    c_0_391,
    [final] ).

cnf(c_0_518,plain,
    lhs_atom44(X1),
    c_0_392,
    [final] ).

cnf(c_0_519,plain,
    lhs_atom43(X1),
    c_0_393,
    [final] ).

cnf(c_0_520,plain,
    lhs_atom42(X1),
    c_0_394,
    [final] ).

cnf(c_0_521,plain,
    lhs_atom41(X1),
    c_0_395,
    [final] ).

cnf(c_0_522,plain,
    lhs_atom40(X1),
    c_0_396,
    [final] ).

cnf(c_0_523,plain,
    lhs_atom36(X1),
    c_0_397,
    [final] ).

cnf(c_0_524,plain,
    lhs_atom34(X1),
    c_0_398,
    [final] ).

cnf(c_0_525,plain,
    lhs_atom33(X1),
    c_0_399,
    [final] ).

cnf(c_0_526,plain,
    lhs_atom32(X1),
    c_0_400,
    [final] ).

cnf(c_0_527,plain,
    lhs_atom31(X1),
    c_0_401,
    [final] ).

cnf(c_0_528,plain,
    lhs_atom30(X1),
    c_0_402,
    [final] ).

cnf(c_0_529,plain,
    lhs_atom29(X1),
    c_0_403,
    [final] ).

cnf(c_0_530,plain,
    lhs_atom28(X1),
    c_0_404,
    [final] ).

cnf(c_0_531,plain,
    lhs_atom25(X1),
    c_0_405,
    [final] ).

cnf(c_0_532,plain,
    lhs_atom24(X1),
    c_0_406,
    [final] ).

cnf(c_0_533,plain,
    lhs_atom23(X1),
    c_0_407,
    [final] ).

cnf(c_0_534,plain,
    lhs_atom21(X1),
    c_0_408,
    [final] ).

cnf(c_0_535,plain,
    lhs_atom18(X1),
    c_0_409,
    [final] ).

cnf(c_0_536,plain,
    lhs_atom17(X1),
    c_0_410,
    [final] ).

cnf(c_0_537,plain,
    lhs_atom16(X1),
    c_0_411,
    [final] ).

cnf(c_0_538,plain,
    lhs_atom15(X1),
    c_0_412,
    [final] ).

cnf(c_0_539,plain,
    lhs_atom14(X1),
    c_0_413,
    [final] ).

cnf(c_0_540,plain,
    lhs_atom11(X1),
    c_0_414,
    [final] ).

cnf(c_0_541,plain,
    lhs_atom10(X1),
    c_0_415,
    [final] ).

cnf(c_0_542,plain,
    lhs_atom2(X1),
    c_0_416,
    [final] ).

cnf(c_0_543,plain,
    lhs_atom125,
    c_0_417,
    [final] ).

cnf(c_0_544,plain,
    lhs_atom124,
    c_0_418,
    [final] ).

cnf(c_0_545,plain,
    lhs_atom123,
    c_0_419,
    [final] ).

cnf(c_0_546,plain,
    lhs_atom122,
    c_0_420,
    [final] ).

cnf(c_0_547,plain,
    lhs_atom121,
    c_0_421,
    [final] ).

cnf(c_0_548,plain,
    lhs_atom120,
    c_0_422,
    [final] ).

cnf(c_0_549,plain,
    lhs_atom119,
    c_0_423,
    [final] ).

cnf(c_0_550,plain,
    lhs_atom118,
    c_0_424,
    [final] ).

cnf(c_0_551,plain,
    lhs_atom117,
    c_0_425,
    [final] ).

cnf(c_0_552,plain,
    lhs_atom116,
    c_0_426,
    [final] ).

cnf(c_0_553,plain,
    lhs_atom115,
    c_0_427,
    [final] ).

cnf(c_0_554,plain,
    lhs_atom114,
    c_0_428,
    [final] ).

cnf(c_0_555,plain,
    lhs_atom113,
    c_0_429,
    [final] ).

cnf(c_0_556,plain,
    lhs_atom112,
    c_0_430,
    [final] ).

cnf(c_0_557,plain,
    lhs_atom111,
    c_0_431,
    [final] ).

cnf(c_0_558,plain,
    lhs_atom110,
    c_0_432,
    [final] ).

cnf(c_0_559,plain,
    lhs_atom109,
    c_0_433,
    [final] ).

cnf(c_0_560,plain,
    lhs_atom108,
    c_0_434,
    [final] ).

cnf(c_0_561,plain,
    lhs_atom107,
    c_0_435,
    [final] ).

cnf(c_0_562,plain,
    lhs_atom106,
    c_0_436,
    [final] ).

cnf(c_0_563,plain,
    lhs_atom105,
    c_0_437,
    [final] ).

cnf(c_0_564,plain,
    lhs_atom104,
    c_0_438,
    [final] ).

cnf(c_0_565,plain,
    lhs_atom103,
    c_0_439,
    [final] ).

cnf(c_0_566,plain,
    lhs_atom102,
    c_0_440,
    [final] ).

cnf(c_0_567,plain,
    lhs_atom101,
    c_0_441,
    [final] ).

cnf(c_0_568,plain,
    lhs_atom100,
    c_0_442,
    [final] ).

cnf(c_0_569,plain,
    lhs_atom99,
    c_0_443,
    [final] ).

cnf(c_0_570,plain,
    lhs_atom98,
    c_0_444,
    [final] ).

cnf(c_0_571,plain,
    lhs_atom97,
    c_0_445,
    [final] ).

cnf(c_0_572,plain,
    lhs_atom96,
    c_0_446,
    [final] ).

cnf(c_0_573,plain,
    lhs_atom95,
    c_0_447,
    [final] ).

cnf(c_0_574,plain,
    lhs_atom94,
    c_0_448,
    [final] ).

cnf(c_0_575,plain,
    lhs_atom93,
    c_0_449,
    [final] ).

cnf(c_0_576,plain,
    lhs_atom92,
    c_0_450,
    [final] ).

cnf(c_0_577,plain,
    lhs_atom91,
    c_0_451,
    [final] ).

cnf(c_0_578,plain,
    lhs_atom90,
    c_0_452,
    [final] ).

cnf(c_0_579,plain,
    lhs_atom89,
    c_0_453,
    [final] ).

cnf(c_0_580,plain,
    lhs_atom88,
    c_0_454,
    [final] ).

cnf(c_0_581,plain,
    lhs_atom87,
    c_0_455,
    [final] ).

cnf(c_0_582,plain,
    lhs_atom86,
    c_0_456,
    [final] ).

cnf(c_0_583,plain,
    lhs_atom85,
    c_0_457,
    [final] ).

cnf(c_0_584,plain,
    lhs_atom84,
    c_0_458,
    [final] ).

cnf(c_0_585,plain,
    lhs_atom83,
    c_0_459,
    [final] ).

cnf(c_0_586,plain,
    lhs_atom82,
    c_0_460,
    [final] ).

cnf(c_0_587,plain,
    lhs_atom81,
    c_0_461,
    [final] ).

cnf(c_0_588,plain,
    lhs_atom80,
    c_0_462,
    [final] ).

cnf(c_0_589,plain,
    lhs_atom79,
    c_0_463,
    [final] ).

cnf(c_0_590,plain,
    lhs_atom78,
    c_0_464,
    [final] ).

cnf(c_0_591,plain,
    lhs_atom77,
    c_0_465,
    [final] ).

cnf(c_0_592,plain,
    lhs_atom76,
    c_0_466,
    [final] ).

cnf(c_0_593,plain,
    lhs_atom75,
    c_0_467,
    [final] ).

cnf(c_0_594,plain,
    lhs_atom74,
    c_0_468,
    [final] ).

cnf(c_0_595,plain,
    lhs_atom73,
    c_0_469,
    [final] ).

cnf(c_0_596,plain,
    lhs_atom72,
    c_0_470,
    [final] ).

cnf(c_0_597,plain,
    lhs_atom71,
    c_0_471,
    [final] ).

cnf(c_0_598,plain,
    lhs_atom70,
    c_0_472,
    [final] ).

cnf(c_0_599,plain,
    lhs_atom69,
    c_0_473,
    [final] ).

cnf(c_0_600,plain,
    lhs_atom68,
    c_0_474,
    [final] ).

cnf(c_0_601,plain,
    lhs_atom67,
    c_0_475,
    [final] ).

cnf(c_0_602,plain,
    lhs_atom66,
    c_0_476,
    [final] ).

cnf(c_0_603,plain,
    lhs_atom65,
    c_0_477,
    [final] ).

cnf(c_0_604,plain,
    lhs_atom64,
    c_0_478,
    [final] ).

cnf(c_0_605,plain,
    lhs_atom63,
    c_0_479,
    [final] ).

cnf(c_0_606,plain,
    lhs_atom62,
    c_0_480,
    [final] ).

cnf(c_0_607,plain,
    lhs_atom61,
    c_0_481,
    [final] ).

cnf(c_0_608,plain,
    lhs_atom60,
    c_0_482,
    [final] ).

cnf(c_0_609,plain,
    lhs_atom59,
    c_0_483,
    [final] ).

cnf(c_0_610,plain,
    lhs_atom58,
    c_0_484,
    [final] ).

cnf(c_0_611,plain,
    lhs_atom57,
    c_0_485,
    [final] ).

cnf(c_0_612,plain,
    lhs_atom56,
    c_0_486,
    [final] ).

cnf(c_0_613,plain,
    lhs_atom55,
    c_0_487,
    [final] ).

cnf(c_0_614,plain,
    lhs_atom54,
    c_0_488,
    [final] ).

cnf(c_0_615,plain,
    lhs_atom53,
    c_0_489,
    [final] ).

cnf(c_0_616,plain,
    lhs_atom52,
    c_0_490,
    [final] ).

cnf(c_0_617,plain,
    lhs_atom51,
    c_0_491,
    [final] ).

cnf(c_0_618,plain,
    lhs_atom50,
    c_0_492,
    [final] ).

cnf(c_0_619,plain,
    lhs_atom49,
    c_0_493,
    [final] ).

cnf(c_0_620,plain,
    lhs_atom48,
    c_0_494,
    [final] ).

cnf(c_0_621,plain,
    lhs_atom47,
    c_0_495,
    [final] ).

cnf(c_0_622,plain,
    lhs_atom38,
    c_0_496,
    [final] ).

cnf(c_0_623,plain,
    lhs_atom35,
    c_0_497,
    [final] ).

cnf(c_0_624,plain,
    lhs_atom22,
    c_0_498,
    [final] ).

cnf(c_0_625,plain,
    lhs_atom12,
    c_0_499,
    [final] ).

cnf(c_0_626,plain,
    lhs_atom9,
    c_0_500,
    [final] ).

cnf(c_0_627,plain,
    lhs_atom8,
    c_0_501,
    [final] ).

cnf(c_0_628,plain,
    lhs_atom5,
    c_0_502,
    [final] ).

cnf(c_0_629,plain,
    lhs_atom3,
    c_0_503,
    [final] ).

% End CNF derivation
cnf(c_0_504_0,axiom,
    c_Fun_Ocomp(X3,c_Fun_Ocomp(X2,X1,X4,X5,X7),X5,X6,X7) = c_Fun_Ocomp(c_Fun_Ocomp(X3,X2,X5,X6,X4),X1,X4,X6,X7),
    inference(unfold_definition,[status(thm)],[c_0_504,def_lhs_atom13]) ).

cnf(c_0_505_0,axiom,
    hAPP(c_COMBB(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_505,def_lhs_atom46]) ).

cnf(c_0_506_0,axiom,
    c_Set_Oimage(X2,c_Set_Oimage(X1,X3,X4,X5),X5,X6) = c_Set_Oimage(c_COMBB(X2,X1,X5,X6,X4),X3,X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_506,def_lhs_atom39]) ).

cnf(c_0_507_0,axiom,
    hAPP(c_Fun_Ocomp(X3,X2,X5,X6,X4),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_507,def_lhs_atom7]) ).

cnf(c_0_508_0,axiom,
    hAPP(c_Fun_Ocomp(X3,X2,X4,X5,X6),X1) = hAPP(X3,hAPP(X2,X1)),
    inference(unfold_definition,[status(thm)],[c_0_508,def_lhs_atom6]) ).

cnf(c_0_509_0,axiom,
    c_Set_Oimage(c_Fun_Ocomp(X3,X2,X4,X6,X5),X1,X5,X6) = c_Set_Oimage(X3,c_Set_Oimage(X2,X1,X5,X4),X4,X6),
    inference(unfold_definition,[status(thm)],[c_0_509,def_lhs_atom1]) ).

cnf(c_0_510_0,axiom,
    hAPP(c_Complex_ORe,c_Finite__Set_Osetsum(X1,X2,X3,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_510,def_lhs_atom45]) ).

cnf(c_0_511_0,axiom,
    hAPP(c_Complex_OIm,c_Finite__Set_Osetsum(X1,X2,X3,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_511,def_lhs_atom26]) ).

cnf(c_0_512_0,axiom,
    hAPP(c_Complex_Ocnj,c_Finite__Set_Osetsum(X1,X2,X3,tc_Complex_Ocomplex)) = c_Finite__Set_Osetsum(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,X3,tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_512,def_lhs_atom19]) ).

cnf(c_0_513_0,axiom,
    c_fequal(X1,X1,X2),
    inference(unfold_definition,[status(thm)],[c_0_513,def_lhs_atom126]) ).

cnf(c_0_514_0,axiom,
    hAPP(c_Complex_ORe,c_Complex_Ocomplex_OComplex(X2,X1)) = X2,
    inference(unfold_definition,[status(thm)],[c_0_514,def_lhs_atom37]) ).

cnf(c_0_515_0,axiom,
    hAPP(c_Complex_OIm,c_Complex_Ocomplex_OComplex(X2,X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_515,def_lhs_atom27]) ).

cnf(c_0_516_0,axiom,
    hAPP(c_Complex_Ocnj,c_Complex_Ocomplex_OComplex(X2,X1)) = c_Complex_Ocomplex_OComplex(X2,hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)),
    inference(unfold_definition,[status(thm)],[c_0_516,def_lhs_atom20]) ).

cnf(c_0_517_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),c_Complex_Ocomplex_OComplex(X2,X1)) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1)),
    inference(unfold_definition,[status(thm)],[c_0_517,def_lhs_atom4]) ).

cnf(c_0_518_0,axiom,
    c_Lim_OisCont(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_518,def_lhs_atom44]) ).

cnf(c_0_519_0,axiom,
    c_Lim_OLIM(c_Complex_ORe,X1,hAPP(c_Complex_ORe,X1),tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_519,def_lhs_atom43]) ).

cnf(c_0_520_0,axiom,
    hAPP(c_Complex_ORe,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_520,def_lhs_atom42]) ).

cnf(c_0_521_0,axiom,
    hAPP(c_Complex_ORe,hAPP(c_Complex_Ocnj,X1)) = hAPP(c_Complex_ORe,X1),
    inference(unfold_definition,[status(thm)],[c_0_521,def_lhs_atom41]) ).

cnf(c_0_522_0,axiom,
    c_SEQ_Osubseq(c_SEQ_Osko__SEQ__Xseq__monosub__1__1(X1)),
    inference(unfold_definition,[status(thm)],[c_0_522,def_lhs_atom40]) ).

cnf(c_0_523_0,axiom,
    c_Lim_OLIM(c_Complex_OIm,X1,hAPP(c_Complex_OIm,X1),tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_523,def_lhs_atom36]) ).

cnf(c_0_524_0,axiom,
    c_lessequals(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_524,def_lhs_atom34]) ).

cnf(c_0_525_0,axiom,
    c_lessequals(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_525,def_lhs_atom33]) ).

cnf(c_0_526_0,axiom,
    hAPP(c_Complex_Ocnj,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X1)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X1),
    inference(unfold_definition,[status(thm)],[c_0_526,def_lhs_atom32]) ).

cnf(c_0_527_0,axiom,
    c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_Complex_OIm,X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_527,def_lhs_atom31]) ).

cnf(c_0_528_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_528,def_lhs_atom30]) ).

cnf(c_0_529_0,axiom,
    ~ c_HOL_Oord__class_Oless(X1,X1,tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_529,def_lhs_atom29]) ).

cnf(c_0_530_0,axiom,
    hAPP(c_Complex_Ocnj,hAPP(c_Complex_Ocnj,X1)) = X1,
    inference(unfold_definition,[status(thm)],[c_0_530,def_lhs_atom28]) ).

cnf(c_0_531_0,axiom,
    c_Lim_OisCont(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_531,def_lhs_atom25]) ).

cnf(c_0_532_0,axiom,
    hAPP(c_Complex_Ocnj,X1) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1))),
    inference(unfold_definition,[status(thm)],[c_0_532,def_lhs_atom24]) ).

cnf(c_0_533_0,axiom,
    hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),X1) = c_Complex_Ocomplex_OComplex(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X1)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1))),
    inference(unfold_definition,[status(thm)],[c_0_533,def_lhs_atom23]) ).

cnf(c_0_534_0,axiom,
    hAPP(c_Complex_OIm,hAPP(c_Complex_Ocnj,X1)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1)),
    inference(unfold_definition,[status(thm)],[c_0_534,def_lhs_atom21]) ).

cnf(c_0_535_0,axiom,
    c_SEQ_Omonoseq(c_COMBB(X1,c_SEQ_Osko__SEQ__Xseq__monosub__1__1(X1),tc_nat,tc_RealDef_Oreal,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_535,def_lhs_atom18]) ).

cnf(c_0_536_0,axiom,
    c_Complex_Ocomplex_OComplex(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X1),
    inference(unfold_definition,[status(thm)],[c_0_536,def_lhs_atom17]) ).

cnf(c_0_537_0,axiom,
    hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X1) = c_Complex_Ocomplex_OComplex(X1,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(unfold_definition,[status(thm)],[c_0_537,def_lhs_atom16]) ).

cnf(c_0_538_0,axiom,
    hAPP(c_Complex_OIm,hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X1)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_538,def_lhs_atom15]) ).

cnf(c_0_539_0,axiom,
    c_lessequals(X1,X1,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_539,def_lhs_atom14]) ).

cnf(c_0_540_0,axiom,
    hAPP(c_Complex_Ocnj,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),X1)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),hAPP(c_Complex_Ocnj,X1)),
    inference(unfold_definition,[status(thm)],[c_0_540,def_lhs_atom11]) ).

cnf(c_0_541_0,axiom,
    hAPP(c_Complex_ORe,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),X1)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_ORe,X1)),
    inference(unfold_definition,[status(thm)],[c_0_541,def_lhs_atom10]) ).

cnf(c_0_542_0,axiom,
    hAPP(c_Complex_OIm,hAPP(c_HOL_Ouminus__class_Ouminus(tc_Complex_Ocomplex),X1)) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,X1)),
    inference(unfold_definition,[status(thm)],[c_0_542,def_lhs_atom2]) ).

cnf(c_0_543_0,axiom,
    class_SEQ_Obanach(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_543,def_lhs_atom125]) ).

cnf(c_0_544_0,axiom,
    class_Ring__and__Field_Oidom(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_544,def_lhs_atom124]) ).

cnf(c_0_545_0,axiom,
    class_Ring__and__Field_Oring(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_545,def_lhs_atom123]) ).

cnf(c_0_546_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_546,def_lhs_atom122]) ).

cnf(c_0_547_0,axiom,
    class_RealVector_Oreal__vector(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_547,def_lhs_atom121]) ).

cnf(c_0_548_0,axiom,
    class_RealVector_Ometric__space(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_548,def_lhs_atom120]) ).

cnf(c_0_549_0,axiom,
    class_RealVector_Oreal__algebra(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_549,def_lhs_atom119]) ).

cnf(c_0_550_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_550,def_lhs_atom118]) ).

cnf(c_0_551_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_551,def_lhs_atom117]) ).

cnf(c_0_552_0,axiom,
    class_RealVector_Oreal__algebra__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_552,def_lhs_atom116]) ).

cnf(c_0_553_0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_553,def_lhs_atom115]) ).

cnf(c_0_554_0,axiom,
    class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_554,def_lhs_atom114]) ).

cnf(c_0_555_0,axiom,
    class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_555,def_lhs_atom113]) ).

cnf(c_0_556_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_556,def_lhs_atom112]) ).

cnf(c_0_557_0,axiom,
    class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_557,def_lhs_atom111]) ).

cnf(c_0_558_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_558,def_lhs_atom110]) ).

cnf(c_0_559_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_559,def_lhs_atom109]) ).

cnf(c_0_560_0,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_560,def_lhs_atom108]) ).

cnf(c_0_561_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_561,def_lhs_atom107]) ).

cnf(c_0_562_0,axiom,
    class_SEQ_Obanach(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_562,def_lhs_atom106]) ).

cnf(c_0_563_0,axiom,
    class_Orderings_Oorder(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_563,def_lhs_atom105]) ).

cnf(c_0_564_0,axiom,
    class_Orderings_Olinorder(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_564,def_lhs_atom104]) ).

cnf(c_0_565_0,axiom,
    class_Orderings_Opreorder(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_565,def_lhs_atom103]) ).

cnf(c_0_566_0,axiom,
    class_Ring__and__Field_Oidom(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_566,def_lhs_atom102]) ).

cnf(c_0_567_0,axiom,
    class_Ring__and__Field_Oring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_567,def_lhs_atom101]) ).

cnf(c_0_568_0,axiom,
    class_Ring__and__Field_Oabs__if(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_568,def_lhs_atom100]) ).

cnf(c_0_569_0,axiom,
    class_OrderedGroup_Ogroup__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_569,def_lhs_atom99]) ).

cnf(c_0_570_0,axiom,
    class_RealVector_Oreal__vector(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_570,def_lhs_atom98]) ).

cnf(c_0_571_0,axiom,
    class_RealVector_Ometric__space(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_571,def_lhs_atom97]) ).

cnf(c_0_572_0,axiom,
    class_RealVector_Oreal__algebra(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_572,def_lhs_atom96]) ).

cnf(c_0_573_0,axiom,
    class_Ring__and__Field_Omult__mono(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_573,def_lhs_atom95]) ).

cnf(c_0_574_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_574,def_lhs_atom94]) ).

cnf(c_0_575_0,axiom,
    class_OrderedGroup_Oab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_575,def_lhs_atom93]) ).

cnf(c_0_576_0,axiom,
    class_RealVector_Oreal__algebra__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_576,def_lhs_atom92]) ).

cnf(c_0_577_0,axiom,
    class_Ring__and__Field_Omult__mono1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_577,def_lhs_atom91]) ).

cnf(c_0_578_0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_578,def_lhs_atom90]) ).

cnf(c_0_579_0,axiom,
    class_Ring__and__Field_Oordered__idom(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_579,def_lhs_atom89]) ).

cnf(c_0_580_0,axiom,
    class_RealVector_Oreal__normed__field(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_580,def_lhs_atom88]) ).

cnf(c_0_581_0,axiom,
    class_Ring__and__Field_Olordered__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_581,def_lhs_atom87]) ).

cnf(c_0_582_0,axiom,
    class_Ring__and__Field_Opordered__ring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_582,def_lhs_atom86]) ).

cnf(c_0_583_0,axiom,
    class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_583,def_lhs_atom85]) ).

cnf(c_0_584_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_584,def_lhs_atom84]) ).

cnf(c_0_585_0,axiom,
    class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_585,def_lhs_atom83]) ).

cnf(c_0_586_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_586,def_lhs_atom82]) ).

cnf(c_0_587_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_587,def_lhs_atom81]) ).

cnf(c_0_588_0,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_588,def_lhs_atom80]) ).

cnf(c_0_589_0,axiom,
    class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_589,def_lhs_atom79]) ).

cnf(c_0_590_0,axiom,
    class_Ring__and__Field_Opordered__ring__abs(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_590,def_lhs_atom78]) ).

cnf(c_0_591_0,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_591,def_lhs_atom77]) ).

cnf(c_0_592_0,axiom,
    class_OrderedGroup_Oordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_592,def_lhs_atom76]) ).

cnf(c_0_593_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_593,def_lhs_atom75]) ).

cnf(c_0_594_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_594,def_lhs_atom74]) ).

cnf(c_0_595_0,axiom,
    class_Ring__and__Field_Oordered__ring__strict(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_595,def_lhs_atom73]) ).

cnf(c_0_596_0,axiom,
    class_Ring__and__Field_Oring__no__zero__divisors(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_596,def_lhs_atom72]) ).

cnf(c_0_597_0,axiom,
    class_OrderedGroup_Olordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_597,def_lhs_atom71]) ).

cnf(c_0_598_0,axiom,
    class_OrderedGroup_Opordered__ab__group__add__abs(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_598,def_lhs_atom70]) ).

cnf(c_0_599_0,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_599,def_lhs_atom69]) ).

cnf(c_0_600_0,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_600,def_lhs_atom68]) ).

cnf(c_0_601_0,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_601,def_lhs_atom67]) ).

cnf(c_0_602_0,axiom,
    class_Orderings_Oorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_602,def_lhs_atom66]) ).

cnf(c_0_603_0,axiom,
    class_Orderings_Opreorder(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_603,def_lhs_atom65]) ).

cnf(c_0_604_0,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    inference(unfold_definition,[status(thm)],[c_0_604,def_lhs_atom64]) ).

cnf(c_0_605_0,axiom,
    class_Orderings_Oorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_605,def_lhs_atom63]) ).

cnf(c_0_606_0,axiom,
    class_Orderings_Olinorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_606,def_lhs_atom62]) ).

cnf(c_0_607_0,axiom,
    class_Orderings_Opreorder(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_607,def_lhs_atom61]) ).

cnf(c_0_608_0,axiom,
    class_Ring__and__Field_Omult__mono(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_608,def_lhs_atom60]) ).

cnf(c_0_609_0,axiom,
    class_Ring__and__Field_Omult__zero(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_609,def_lhs_atom59]) ).

cnf(c_0_610_0,axiom,
    class_Ring__and__Field_Omult__mono1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_610,def_lhs_atom58]) ).

cnf(c_0_611_0,axiom,
    class_Ring__and__Field_Osemiring__0(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_611,def_lhs_atom57]) ).

cnf(c_0_612_0,axiom,
    class_OrderedGroup_Oab__semigroup__mult(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_612,def_lhs_atom56]) ).

cnf(c_0_613_0,axiom,
    class_Ring__and__Field_Ocomm__semiring__1(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_613,def_lhs_atom55]) ).

cnf(c_0_614_0,axiom,
    class_Ring__and__Field_Ono__zero__divisors(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_614,def_lhs_atom54]) ).

cnf(c_0_615_0,axiom,
    class_Ring__and__Field_Oordered__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_615,def_lhs_atom53]) ).

cnf(c_0_616_0,axiom,
    class_Ring__and__Field_Opordered__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_616,def_lhs_atom52]) ).

cnf(c_0_617_0,axiom,
    class_Ring__and__Field_Oordered__semiring__strict(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_617,def_lhs_atom51]) ).

cnf(c_0_618_0,axiom,
    class_Ring__and__Field_Opordered__cancel__semiring(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_618,def_lhs_atom50]) ).

cnf(c_0_619_0,axiom,
    class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat),
    inference(unfold_definition,[status(thm)],[c_0_619,def_lhs_atom49]) ).

cnf(c_0_620_0,axiom,
    c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
    inference(unfold_definition,[status(thm)],[c_0_620,def_lhs_atom48]) ).

cnf(c_0_621_0,axiom,
    c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
    inference(unfold_definition,[status(thm)],[c_0_621,def_lhs_atom47]) ).

cnf(c_0_622_0,axiom,
    c_Lim_OisUCont(c_Complex_ORe,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_622,def_lhs_atom38]) ).

cnf(c_0_623_0,axiom,
    c_Lim_OisUCont(c_Complex_OIm,tc_Complex_Ocomplex,tc_RealDef_Oreal),
    inference(unfold_definition,[status(thm)],[c_0_623,def_lhs_atom35]) ).

cnf(c_0_624_0,axiom,
    hAPP(c_Complex_Ocnj,v_z) = c_Complex_Ocomplex_OComplex(hAPP(c_Complex_ORe,v_z),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),hAPP(c_Complex_OIm,v_z))),
    inference(unfold_definition,[status(thm)],[c_0_624,def_lhs_atom22]) ).

cnf(c_0_625_0,axiom,
    hAPP(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_625,def_lhs_atom12]) ).

cnf(c_0_626_0,axiom,
    hAPP(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_626,def_lhs_atom9]) ).

cnf(c_0_627_0,axiom,
    hAPP(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_627,def_lhs_atom8]) ).

cnf(c_0_628_0,axiom,
    c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) = c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)),
    inference(unfold_definition,[status(thm)],[c_0_628,def_lhs_atom5]) ).

cnf(c_0_629_0,axiom,
    c_Complex_Ocomplex_OComplex(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),
    inference(unfold_definition,[status(thm)],[c_0_629,def_lhs_atom3]) ).

% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
    ! [X6] :
      ( v_thesis____
      | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X6,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
      | ~ c_SEQ_Osubseq(X6) ),
    file('<stdin>',cls_that_0) ).

fof(c_0_1_002,axiom,
    ! [X6,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),c_Series_Osuminf(X6,X3)),c_Series_Osuminf(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X6,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X6,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    file('<stdin>',cls_summable__norm_0) ).

fof(c_0_2_003,axiom,
    ! [X6,X31,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X3),X6,X3,X3,X13),X31,X13,X3)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X3),X6,X3,X3,X13),X31,X13,X3) ),
    file('<stdin>',cls_abs__setsum__abs_0) ).

fof(c_0_3_004,axiom,
    ! [X15,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_Fun_Ocomp(X10,X6,X3,X13,X12),X11,hAPP(X10,X15),X12,X13)
      | ~ c_Lim_OLIM(X6,X11,X15,X12,X3)
      | ~ c_Lim_OLIM(X10,X15,hAPP(X10,X15),X3,X13) ),
    file('<stdin>',cls_LIM__o_0) ).

fof(c_0_4_005,axiom,
    ! [X15,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(X10,X6,X3,X13,X12),X11,hAPP(X10,X15),X12,X13)
      | ~ c_Lim_OLIM(X6,X11,X15,X12,X3)
      | ~ c_Lim_OLIM(X10,X15,hAPP(X10,X15),X3,X13) ),
    file('<stdin>',cls_LIM__compose_0) ).

fof(c_0_5_006,axiom,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_Otendsto(X6,X11,X14,X3,X13)
      | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X11),X14,X3,X13) ),
    file('<stdin>',cls_tendsto__minus__cancel_0) ).

fof(c_0_6_007,axiom,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(X6,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_LIM__norm__zero__iff_0) ).

fof(c_0_7_008,axiom,
    ! [X6,X31,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),c_Finite__Set_Osetsum(X6,X31,X13,X3)),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X3),X6,X3,X3,X13),X31,X13,X3),X3) ),
    file('<stdin>',cls_setsum__abs_0) ).

fof(c_0_8_009,axiom,
    ! [X6,X31,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),c_Finite__Set_Osetsum(X6,X31,X13,X3)),c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X6,X3,tc_RealDef_Oreal,X13),X31,X13,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__setsum_0) ).

fof(c_0_9_010,axiom,
    ! [X15,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(X10,X6,X3,X13,X12),X11,hAPP(X10,X15),X12,X13)
      | ~ c_Lim_OLIM(X6,X11,X15,X12,X3)
      | ~ c_Lim_OisCont(X10,X15,X3,X13) ),
    file('<stdin>',cls_isCont__LIM__compose_0) ).

fof(c_0_10_011,axiom,
    ! [X9,X15,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X13),X10,X13,X13,X3),X11,hAPP(c_HOL_Otimes__class_Otimes(X9,X13),X15),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,X13) ),
    file('<stdin>',cls_mult__right_OLIM_0) ).

fof(c_0_11_012,axiom,
    ! [X33,X15,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X13),X10,X13,X13,X3),X11,hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X13),X15),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,X13) ),
    file('<stdin>',cls_scaleR__right_OLIM_0) ).

fof(c_0_12_013,axiom,
    ! [X9,X14,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X13),X10,X13,X13,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X13),X11),X14,X3,X13)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,X13) ),
    file('<stdin>',cls_mult__right_Otendsto_0) ).

fof(c_0_13_014,axiom,
    ! [X33,X14,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X13),X10,X13,X13,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X13),X11),X14,X3,X13)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,X13) ),
    file('<stdin>',cls_scaleR__right_Otendsto_0) ).

fof(c_0_14_015,axiom,
    ! [X15,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(X6,X10,X3,X13,X12),X11,hAPP(X6,X15),X12,X13)
      | ~ c_Lim_OLIM(X10,X11,X15,X12,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_OLIM_0) ).

fof(c_0_15_016,axiom,
    ! [X14,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Limits_Otendsto(c_COMBB(X6,X10,X3,X13,X12),hAPP(X6,X11),X14,X12,X13)
      | ~ c_Limits_Otendsto(X10,X11,X14,X12,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_Otendsto_0) ).

fof(c_0_16_017,axiom,
    ! [X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(X6,X10,X3,X13,X12),X11,c_HOL_Ozero__class_Ozero(X13),X12,X13)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(X3),X12,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_OLIM__zero_0) ).

fof(c_0_17_018,axiom,
    ! [X9,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X13),X10,X13,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    file('<stdin>',cls_mult__right_OLIM__zero_0) ).

fof(c_0_18_019,axiom,
    ! [X6,X34,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X34,X13),X6,X13,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X6,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    file('<stdin>',cls_LIM__mult__right__zero_0) ).

fof(c_0_19_020,axiom,
    ! [X6,X34,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X13),X6,X13,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X6,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    file('<stdin>',cls_scaleR_OLIM__right__zero_0) ).

fof(c_0_20_021,axiom,
    ! [X33,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X13),X10,X13,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    file('<stdin>',cls_scaleR__right_OLIM__zero_0) ).

fof(c_0_21_022,axiom,
    ! [X15,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__algebra__1(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X13),X10,tc_RealDef_Oreal,X13,X3),X11,hAPP(c_RealVector_Oof__real(X13),X15),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_LIM__of__real_0) ).

fof(c_0_22_023,axiom,
    ! [X6,X11,X29,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),X11,hAPP(c_HOL_Ouminus__class_Ouminus(X13),X29),X3,X13)
      | ~ c_Lim_OLIM(X6,X11,X29,X3,X13) ),
    file('<stdin>',cls_LIM__minus_0) ).

fof(c_0_23_024,axiom,
    ! [X15,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X11,hAPP(c_RealVector_Onorm__class_Onorm(X13),X15),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X6,X11,X15,X3,X13) ),
    file('<stdin>',cls_LIM__norm_0) ).

fof(c_0_24_025,axiom,
    ! [X14,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__algebra__1(X13)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X13),X10,tc_RealDef_Oreal,X13,X3),hAPP(c_RealVector_Oof__real(X13),X11),X14,X3,X13)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_Otendsto_0) ).

fof(c_0_25_026,axiom,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X11),X14,X3,X13)
      | ~ c_Limits_Otendsto(X6,X11,X14,X3,X13) ),
    file('<stdin>',cls_tendsto__minus_0) ).

fof(c_0_26_027,axiom,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),hAPP(c_RealVector_Onorm__class_Onorm(X13),X11),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X6,X11,X14,X3,X13) ),
    file('<stdin>',cls_tendsto__norm_0) ).

fof(c_0_27_028,axiom,
    ! [X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__algebra__1(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X13),X10,tc_RealDef_Oreal,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OLIM__zero_0) ).

fof(c_0_28_029,axiom,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X6,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    file('<stdin>',cls_LIM__norm__zero_0) ).

fof(c_0_29_030,axiom,
    ! [X15,X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X10,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X11,hAPP(c_Complex_Ocnj,X15),X3,tc_Complex_Ocomplex)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_OLIM_0) ).

fof(c_0_30_031,axiom,
    ! [X15,X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X11,hAPP(c_Complex_OIm,X15),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OLIM_0) ).

fof(c_0_31_032,axiom,
    ! [X15,X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X11,hAPP(c_Complex_ORe,X15),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OLIM_0) ).

fof(c_0_32_033,axiom,
    ! [X14,X10,X11,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_Ocnj,X10,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),hAPP(c_Complex_Ocnj,X11),X14,X3,tc_Complex_Ocomplex)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_Otendsto_0) ).

fof(c_0_33_034,axiom,
    ! [X14,X10,X11,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),hAPP(c_Complex_OIm,X11),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_Otendsto_0) ).

fof(c_0_34_035,axiom,
    ! [X14,X10,X11,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),hAPP(c_Complex_ORe,X11),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_Otendsto_0) ).

fof(c_0_35_036,axiom,
    ! [X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OLIM__zero_0) ).

fof(c_0_36_037,axiom,
    ! [X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OLIM__zero_0) ).

fof(c_0_37_038,axiom,
    ! [X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X10,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X11,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_OLIM__zero_0) ).

fof(c_0_38_039,axiom,
    ! [X6,X31,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X3),X6,X3,X3,X13),X31,X13,X3),X3) ),
    file('<stdin>',cls_setsum__abs__ge__zero_0) ).

fof(c_0_39_040,axiom,
    ! [X51,X9,X52,X10,X53,X6,X54,X50,X12,X13,X3] :
      ( hAPP(X6,hAPP(X10,X9)) != hAPP(X53,hAPP(X52,X51))
      | hAPP(c_Fun_Ocomp(X6,X10,X13,X3,X12),X9) = hAPP(c_Fun_Ocomp(X53,X52,X50,X3,X54),X51) ),
    file('<stdin>',cls_comp__cong_0) ).

fof(c_0_40_041,axiom,
    ! [X9,X10,X6,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osummable(X10,tc_RealDef_Oreal)
      | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),hAPP(X6,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X6,X10,X9,X3))),hAPP(X10,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X6,X10,X9,X3)),tc_RealDef_Oreal) ),
    file('<stdin>',cls_summable__comparison__test_1) ).

fof(c_0_41_042,axiom,
    ! [X11,X2,X32,X29,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(X2,X32,X3,X13,tc_nat),X29,X13)
      | ~ c_SEQ_OLIMSEQ(X32,X11,X3)
      | hAPP(X32,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X32,X11,X3)) = X11
      | ~ c_Lim_OLIM(X2,X11,X29,X3,X13) ),
    file('<stdin>',cls_LIMSEQ__SEQ__conv1_0) ).

fof(c_0_42_043,axiom,
    ! [X14,X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(X6,X14,X3,X13)
      | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X14,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_Zfun__norm__iff_0) ).

fof(c_0_43_044,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X2,X11,X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_LIMSEQ__minus__cancel_0) ).

fof(c_0_44_045,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_LIMSEQ__norm__zero_0) ).

fof(c_0_45_046,axiom,
    ! [X49,X43,X34,X17,X11,X50,X12,X13,X3] :
      ( c_Fun_Ocomp(X11,X17,X12,X13,X3) != c_Fun_Ocomp(X34,X43,X50,X13,X3)
      | hAPP(X11,hAPP(X17,X49)) = hAPP(X34,hAPP(X43,X49)) ),
    file('<stdin>',cls_o__eq__dest_0) ).

fof(c_0_46_047,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(X2,X3)
      | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    file('<stdin>',cls_Zseq__norm__iff_0) ).

fof(c_0_47_048,axiom,
    ! [X6,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X6,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    file('<stdin>',cls_summable__norm__cancel_0) ).

fof(c_0_48_049,axiom,
    ! [X6,X11,X28,X29,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | X29 = X28
      | ~ c_Lim_OLIM(X6,X11,X28,X3,X13)
      | ~ c_Lim_OLIM(X6,X11,X29,X3,X13) ),
    file('<stdin>',cls_LIM__unique_0) ).

fof(c_0_49_050,axiom,
    ! [X2] :
      ( c_SEQ_Odecseq(X2)
      | ~ c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat)) ),
    file('<stdin>',cls_decseq__eq__incseq_1) ).

fof(c_0_50_051,axiom,
    ! [X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X12)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OisCont(c_Fun_Ocomp(X10,X6,X13,X12,X3),X11,X3,X12)
      | ~ c_Lim_OisCont(X10,hAPP(X6,X11),X13,X12)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    file('<stdin>',cls_isCont__o_0) ).

fof(c_0_51_052,axiom,
    ! [X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X12)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OisCont(c_COMBB(X10,X6,X13,X12,X3),X11,X3,X12)
      | ~ c_Lim_OisCont(X10,hAPP(X6,X11),X13,X12)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    file('<stdin>',cls_isCont__o2_0) ).

fof(c_0_52_053,axiom,
    ! [X10,X11,X31,X13,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),c_Finite__Set_Osetsum(X10,X31,X13,X3)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X11,X3),X10,X3,X3,X13),X31,X13,X3) ),
    file('<stdin>',cls_scaleR__right_Osetsum_0) ).

fof(c_0_53_054,axiom,
    ! [X9,X10,X31,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),c_Finite__Set_Osetsum(X10,X31,X13,X3)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X10,X3,X3,X13),X31,X13,X3) ),
    file('<stdin>',cls_mult__right_Osetsum_0) ).

fof(c_0_54_055,axiom,
    ! [X33,X6,X31,X13,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X33,X3),c_Finite__Set_Osetsum(X6,X31,X13,X3)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X33,X3),X6,X3,X3,X13),X31,X13,X3) ),
    file('<stdin>',cls_setsum__right__distrib_0) ).

fof(c_0_55_056,axiom,
    ! [X10,X31,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_Finite__Set_Osetsum(X10,X31,X13,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X3),X10,tc_RealDef_Oreal,X3,X13),X31,X13,X3) ),
    file('<stdin>',cls_of__real_Osetsum_0) ).

fof(c_0_56_057,axiom,
    ! [X6,X31,X13,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X6,X3,X3,X13),X31,X13,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Finite__Set_Osetsum(X6,X31,X13,X3)) ),
    file('<stdin>',cls_setsum__negf_0) ).

fof(c_0_57_058,axiom,
    ! [X14,X10,X6,X12,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Limits_OZfun(c_COMBB(X6,X10,X3,X13,X12),X14,X12,X13)
      | ~ c_Limits_OZfun(X10,X14,X12,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_OZfun_0) ).

fof(c_0_58_059,axiom,
    ! [X9,X14,X10,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X13),X10,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X10,X14,X3,X13) ),
    file('<stdin>',cls_mult__right_OZfun_0) ).

fof(c_0_59_060,axiom,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X11,X13),X6,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X6,X14,X3,X13) ),
    file('<stdin>',cls_Zfun__mult__right_0) ).

fof(c_0_60_061,axiom,
    ! [X33,X14,X10,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X13),X10,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X10,X14,X3,X13) ),
    file('<stdin>',cls_scaleR__right_OZfun_0) ).

fof(c_0_61_062,axiom,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X11,X13),X6,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X6,X14,X3,X13) ),
    file('<stdin>',cls_scaleR_OZfun__right_0) ).

fof(c_0_62_063,axiom,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),X11,X3,X13)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    file('<stdin>',cls_isCont__minus_0) ).

fof(c_0_63_064,axiom,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X11,X3,tc_RealDef_Oreal)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    file('<stdin>',cls_isCont__norm_0) ).

fof(c_0_64_065,axiom,
    ! [X14,X10,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__algebra__1(X13)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X13),X10,tc_RealDef_Oreal,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X10,X14,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OZfun_0) ).

fof(c_0_65_066,axiom,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__algebra__1(X13)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X13),X6,tc_RealDef_Oreal,X13,X3),X11,X3,X13)
      | ~ c_Lim_OisCont(X6,X11,X3,tc_RealDef_Oreal) ),
    file('<stdin>',cls_isCont__of__real_0) ).

fof(c_0_66_067,axiom,
    ! [X14,X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X6,X14,X3,X13) ),
    file('<stdin>',cls_Zfun__minus_0) ).

fof(c_0_67_068,axiom,
    ! [X14,X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X6,X14,X3,X13) ),
    file('<stdin>',cls_Zfun__norm__iff_1) ).

fof(c_0_68_069,axiom,
    ! [X14,X10,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_Ocnj,X10,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X14,X3,tc_Complex_Ocomplex)
      | ~ c_Limits_OZfun(X10,X14,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_OZfun_0) ).

fof(c_0_69_070,axiom,
    ! [X14,X10,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X10,X14,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OZfun_0) ).

fof(c_0_70_071,axiom,
    ! [X14,X10,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X10,X14,X3,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OZfun_0) ).

fof(c_0_71_072,axiom,
    ! [X9,X10,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(X6,X10,X3,X3,X3),X9,X3)
      | ~ c_Deriv_Odifferentiable(X10,X9,X3)
      | ~ c_Deriv_Odifferentiable(X6,hAPP(X10,X9),X3) ),
    file('<stdin>',cls_differentiable__compose_0) ).

fof(c_0_72_073,axiom,
    ! [X33,X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    file('<stdin>',cls_scaleR__right_OLIMSEQ_0) ).

fof(c_0_73_074,axiom,
    ! [X9,X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X11),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    file('<stdin>',cls_mult__right_OLIMSEQ_0) ).

fof(c_0_74_075,axiom,
    ! [X33,X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11),X3)
      | ~ c_Series_Osums(X2,X11,X3) ),
    file('<stdin>',cls_scaleR__right_Osums_0) ).

fof(c_0_75_076,axiom,
    ! [X9,X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X11),X3)
      | ~ c_Series_Osums(X2,X11,X3) ),
    file('<stdin>',cls_mult__right_Osums_0) ).

fof(c_0_76_077,axiom,
    ! [X6,X34,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X34,X3),X6,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),X3)
      | ~ c_Series_Osums(X6,X11,X3) ),
    file('<stdin>',cls_sums__mult_0) ).

fof(c_0_77_078,axiom,
    ! [X6,X11,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_SEQ_OLIMSEQ(c_COMBB(X6,X2,X3,X13,tc_nat),hAPP(X6,X11),X13)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_OLIMSEQ_0) ).

fof(c_0_78_079,axiom,
    ! [X6,X11,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Series_Osums(c_COMBB(X6,X2,X3,X13,tc_nat),hAPP(X6,X11),X13)
      | ~ c_Series_Osums(X2,X11,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_Osums_0) ).

fof(c_0_79_080,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X11),X3)
      | ~ c_Series_Osums(X2,X11,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_Osums_0) ).

fof(c_0_80_081,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X11),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OLIMSEQ_0) ).

fof(c_0_81_082,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_Series_Osums(X2,X11,X3) ),
    file('<stdin>',cls_sums__minus_0) ).

fof(c_0_82_083,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    file('<stdin>',cls_LIMSEQ__minus_0) ).

fof(c_0_83_084,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X11),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    file('<stdin>',cls_LIMSEQ__norm_0) ).

fof(c_0_84_085,axiom,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | hAPP(X6,c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_Series_Osummable(X2,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_Osuminf_0) ).

fof(c_0_85_086,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_LIMSEQ__norm__zero_1) ).

fof(c_0_86_087,axiom,
    ! [X9,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X6,X3,X3,X3),X9,X3)
      | ~ c_Deriv_Odifferentiable(X6,X9,X3) ),
    file('<stdin>',cls_differentiable__minus_0) ).

fof(c_0_87_088,axiom,
    ! [X6,X34,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X34,X3),X6,X3,X3,tc_nat),X3) = hAPP(c_HOL_Otimes__class_Otimes(X34,X3),c_Series_Osuminf(X6,X3))
      | ~ c_Series_Osummable(X6,X3) ),
    file('<stdin>',cls_suminf__mult_0) ).

fof(c_0_88_089,axiom,
    ! [X9,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_mult__right_Osuminf_0) ).

fof(c_0_89_090,axiom,
    ! [X33,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_scaleR__right_Osuminf_0) ).

fof(c_0_90_091,axiom,
    ! [X6,X2,X29,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_Fun_Ocomp(X2,X6,tc_nat,X3,tc_nat),X29,X3)
      | ~ c_SEQ_Osubseq(X6)
      | ~ c_SEQ_OLIMSEQ(X2,X29,X3) ),
    file('<stdin>',cls_LIMSEQ__subseq__LIMSEQ_0) ).

fof(c_0_91_092,axiom,
    ! [X11,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X11),tc_Complex_Ocomplex)
      | ~ c_Series_Osums(X2,X11,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_Osums_0) ).

fof(c_0_92_093,axiom,
    ! [X11,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X11),tc_Complex_Ocomplex)
      | ~ c_SEQ_OLIMSEQ(X2,X11,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_OLIMSEQ_0) ).

fof(c_0_93_094,axiom,
    ! [X11,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X11),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X2,X11,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_Osums_0) ).

fof(c_0_94_095,axiom,
    ! [X11,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X11),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X11,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OLIMSEQ_0) ).

fof(c_0_95_096,axiom,
    ! [X11,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X11),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X2,X11,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_Osums_0) ).

fof(c_0_96_097,axiom,
    ! [X11,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X11),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X11,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OLIMSEQ_0) ).

fof(c_0_97_098,axiom,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Series_Osummable(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_Series_Osummable(X2,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_Osummable_0) ).

fof(c_0_98_099,axiom,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_SEQ_OZseq(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_SEQ_OZseq(X2,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_OZseq_0) ).

fof(c_0_99_100,axiom,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_SEQ_OCauchy(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_SEQ_OCauchy(X2,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_OCauchy_0) ).

fof(c_0_100_101,axiom,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_SEQ_OCauchy(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_SEQ_OCauchy(X2,X3)
      | ~ c_Lim_OisUCont(X6,X3,X13) ),
    file('<stdin>',cls_isUCont__Cauchy_0) ).

fof(c_0_101_102,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Series_Osuminf(X2,X3))
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_suminf__minus_0) ).

fof(c_0_102_103,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_Series_Osuminf(X2,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_Osuminf_0) ).

fof(c_0_103_104,axiom,
    ! [X33,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_scaleR__right_Osummable_0) ).

fof(c_0_104_105,axiom,
    ! [X6,X34,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X34,X3),X6,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X6,X3) ),
    file('<stdin>',cls_summable__mult_0) ).

fof(c_0_105_106,axiom,
    ! [X9,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_mult__right_Osummable_0) ).

fof(c_0_106_107,axiom,
    ! [X9,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_mult__right_OZseq_0) ).

fof(c_0_107_108,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X11,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_Zseq__mult__right_0) ).

fof(c_0_108_109,axiom,
    ! [X33,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_scaleR__right_OZseq_0) ).

fof(c_0_109_110,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X11,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_scaleR_OZseq__right_0) ).

fof(c_0_110_111,axiom,
    ! [X9,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OCauchy(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    file('<stdin>',cls_mult__right_OCauchy_0) ).

fof(c_0_111_112,axiom,
    ! [X33,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OCauchy(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    file('<stdin>',cls_scaleR__right_OCauchy_0) ).

fof(c_0_112_113,axiom,
    ! [X2] :
      ( hAPP(c_Complex_Ocnj,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_Osuminf_0) ).

fof(c_0_113_114,axiom,
    ! [X2] :
      ( hAPP(c_Complex_OIm,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_Osuminf_0) ).

fof(c_0_114_115,axiom,
    ! [X2] :
      ( hAPP(c_Complex_ORe,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_Osuminf_0) ).

fof(c_0_115_116,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OZseq_0) ).

fof(c_0_116_117,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_Osummable_0) ).

fof(c_0_117_118,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real_OCauchy_0) ).

fof(c_0_118_119,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_Zseq__minus_0) ).

fof(c_0_119_120,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    file('<stdin>',cls_summable__minus_0) ).

fof(c_0_120_121,axiom,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,X3) ),
    file('<stdin>',cls_Zseq__norm__iff_1) ).

fof(c_0_121_122,axiom,
    ! [X6,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OCauchy(c_Fun_Ocomp(X2,X6,tc_nat,X3,tc_nat),X3)
      | ~ c_SEQ_Osubseq(X6)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    file('<stdin>',cls_Cauchy__subseq__Cauchy_0) ).

fof(c_0_122_123,axiom,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_OCauchy_0) ).

fof(c_0_123_124,axiom,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_OZseq_0) ).

fof(c_0_124_125,axiom,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_cnj_Osummable_0) ).

fof(c_0_125_126,axiom,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_Osummable_0) ).

fof(c_0_126_127,axiom,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OCauchy_0) ).

fof(c_0_127_128,axiom,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Im_OZseq_0) ).

fof(c_0_128_129,axiom,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OZseq_0) ).

fof(c_0_129_130,axiom,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_OCauchy_0) ).

fof(c_0_130_131,axiom,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    file('<stdin>',cls_Re_Osummable_0) ).

fof(c_0_131_132,axiom,
    ! [X11] :
      ( c_SEQ_Omonoseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X11,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
      | ~ c_SEQ_Omonoseq(X11) ),
    file('<stdin>',cls_monoseq__minus_0) ).

fof(c_0_132_133,axiom,
    ! [X2] :
      ( c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
      | ~ c_SEQ_Odecseq(X2) ),
    file('<stdin>',cls_decseq__eq__incseq_0) ).

fof(c_0_133_134,axiom,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OisCont(X6,X11,X3,X13)
      | ~ c_Lim_OLIM(X6,X11,hAPP(X6,X11),X3,X13) ),
    file('<stdin>',cls_isCont__def_1) ).

fof(c_0_134_135,axiom,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(X6,X11,hAPP(X6,X11),X3,X13)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    file('<stdin>',cls_isCont__def_0) ).

fof(c_0_135_136,axiom,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OLIM(X6,X11,hAPP(X6,X11),X3,X13)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_Ocont_0) ).

fof(c_0_136_137,axiom,
    ! [X33,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OLIM(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11,hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11),X3,X3) ),
    file('<stdin>',cls_scaleR__right_Ocont_0) ).

fof(c_0_137_138,axiom,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OLIM(c_HOL_Otimes__class_Otimes(X9,X3),X11,hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X11),X3,X3) ),
    file('<stdin>',cls_mult__right_Ocont_0) ).

fof(c_0_138_139,axiom,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17)),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X43),X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X17),X43,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X34,X3) ),
    file('<stdin>',cls_abs__mult__less_0) ).

fof(c_0_139_140,axiom,
    ! [X44,X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(X45,X3),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),X44)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I15_J_0) ).

fof(c_0_140_141,axiom,
    ! [X9,X10,X6,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osummable(X10,tc_RealDef_Oreal)
      | c_lessequals(X9,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X6,X10,X9,X3),tc_nat) ),
    file('<stdin>',cls_summable__comparison__test_0) ).

fof(c_0_141_142,axiom,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    file('<stdin>',cls_mult__strict__mono_H_0) ).

fof(c_0_142_143,axiom,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X34,X43,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_mult__mono_0) ).

fof(c_0_143_144,axiom,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(X34,X43,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_mult__mono_H_0) ).

fof(c_0_144_145,axiom,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    file('<stdin>',cls_mult__strict__mono_0) ).

fof(c_0_145_146,axiom,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X43,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_mult__le__less__imp__less_0) ).

fof(c_0_146_147,axiom,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(X34,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    file('<stdin>',cls_mult__less__le__imp__less_0) ).

fof(c_0_147_148,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Olordered__ring(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17)),X3) ),
    file('<stdin>',cls_abs__le__mult_0) ).

fof(c_0_148_149,axiom,
    ! [X44,X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(X47,X3),hAPP(c_HOL_Otimes__class_Otimes(X46,X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44))) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I14_J_0) ).

fof(c_0_149_150,axiom,
    ! [X44,X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X45),X3),hAPP(c_HOL_Otimes__class_Otimes(X46,X3),X44)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I13_J_0) ).

fof(c_0_150_151,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    file('<stdin>',cls_mult__less__imp__less__right_0) ).

fof(c_0_151_152,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    file('<stdin>',cls_mult__less__imp__less__left_0) ).

fof(c_0_152_153,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    file('<stdin>',cls_mult__right__less__imp__less_0) ).

fof(c_0_153_154,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    file('<stdin>',cls_mult__left__less__imp__less_0) ).

fof(c_0_154_155,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    file('<stdin>',cls_mult__right__le__imp__le_0) ).

fof(c_0_155_156,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    file('<stdin>',cls_mult__left__le__imp__le_0) ).

fof(c_0_156_157,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    file('<stdin>',cls_mult__le__cancel__left__pos_0) ).

fof(c_0_157_158,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X17,X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__cancel__left__neg_0) ).

fof(c_0_158_159,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    file('<stdin>',cls_mult__less__cancel__left__pos_0) ).

fof(c_0_159_160,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__neg_0) ).

fof(c_0_160_161,axiom,
    ! [X9,X39,X7,X40,X8,X11] :
      ( c_lessequals(hAPP(X11,X39),hAPP(X11,X40),tc_RealDef_Oreal)
      | ~ c_lessequals(X40,X39,tc_nat)
      | c_lessequals(hAPP(X11,X8),hAPP(X11,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_OLIMSEQ(X11,X9,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X11) ),
    file('<stdin>',cls_monoseq__le_3) ).

fof(c_0_161_162,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_0) ).

fof(c_0_162_163,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_0) ).

fof(c_0_163_164,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_1) ).

fof(c_0_164_165,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_2) ).

fof(c_0_165_166,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_1) ).

fof(c_0_166_167,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_2) ).

fof(c_0_167_168,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17))
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__eq__mult_3) ).

fof(c_0_168_169,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17))
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__eq__mult_2) ).

fof(c_0_169_170,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17))
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_abs__eq__mult_1) ).

fof(c_0_170_171,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17))
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_abs__eq__mult_0) ).

fof(c_0_171_172,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_3) ).

fof(c_0_172_173,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_3) ).

fof(c_0_173_174,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Omult__mono1(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_mult__mono1_0) ).

fof(c_0_174_175,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Omult__mono(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_mult__left__mono_0) ).

fof(c_0_175_176,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Omult__mono(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_mult__right__mono_0) ).

fof(c_0_176_177,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,X11,X3) ),
    file('<stdin>',cls_mult__left__mono__neg_0) ).

fof(c_0_177_178,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_lessequals(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,X11,X3) ),
    file('<stdin>',cls_mult__right__mono__neg_0) ).

fof(c_0_178_179,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    file('<stdin>',cls_mult__le__cancel__left__pos_1) ).

fof(c_0_179_180,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__cancel__left__neg_1) ).

fof(c_0_180_181,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    file('<stdin>',cls_mult__strict__left__mono__comm_0) ).

fof(c_0_181_182,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_5) ).

fof(c_0_182_183,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    file('<stdin>',cls_mult__less__cancel__right__disj_4) ).

fof(c_0_183_184,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    file('<stdin>',cls_mult__strict__right__mono_0) ).

fof(c_0_184_185,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3) ),
    file('<stdin>',cls_mult__strict__right__mono__neg_0) ).

fof(c_0_185_186,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_5) ).

fof(c_0_186_187,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    file('<stdin>',cls_mult__less__cancel__left__disj_4) ).

fof(c_0_187_188,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    file('<stdin>',cls_mult__strict__left__mono_0) ).

fof(c_0_188_189,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3) ),
    file('<stdin>',cls_mult__strict__left__mono__neg_0) ).

fof(c_0_189_190,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    file('<stdin>',cls_mult__less__cancel__left__pos_1) ).

fof(c_0_190_191,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__less__cancel__left__neg_1) ).

fof(c_0_191_192,axiom,
    ! [X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),X45) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X45),X3),X46) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I16_J_0) ).

fof(c_0_192_193,axiom,
    ! [X37,X7,X38,X8,X2] :
      ( c_lessequals(hAPP(X2,X37),hAPP(X2,X38),tc_RealDef_Oreal)
      | ~ c_lessequals(X38,X37,tc_nat)
      | c_lessequals(hAPP(X2,X8),hAPP(X2,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_Omonoseq(X2) ),
    file('<stdin>',cls_monoseq__def_0) ).

fof(c_0_193_194,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X11),X3) ),
    file('<stdin>',cls_zero__less__mult__pos2_0) ).

fof(c_0_194_195,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    file('<stdin>',cls_zero__less__mult__pos_0) ).

fof(c_0_195_196,axiom,
    ! [X9,X36,X37,X38,X11] :
      ( c_lessequals(hAPP(X11,X36),hAPP(X11,X38),tc_RealDef_Oreal)
      | ~ c_lessequals(X38,X36,tc_nat)
      | c_lessequals(hAPP(X11,X37),X9,tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X11,X9,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X11) ),
    file('<stdin>',cls_monoseq__le_1) ).

fof(c_0_196_197,axiom,
    ! [X9,X35,X7,X8,X11] :
      ( c_lessequals(X9,hAPP(X11,X35),tc_RealDef_Oreal)
      | c_lessequals(hAPP(X11,X8),hAPP(X11,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_OLIMSEQ(X11,X9,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X11) ),
    file('<stdin>',cls_monoseq__le_2) ).

fof(c_0_197_198,axiom,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OisCont(X6,X11,X3,X13)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_OisCont_0) ).

fof(c_0_198_199,axiom,
    ! [X9,X6,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OisCont(X6,X9,X3,X13)
      | ~ c_Lim_OisUCont(X6,X3,X13) ),
    file('<stdin>',cls_isUCont__isCont_0) ).

fof(c_0_199_200,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_0) ).

fof(c_0_200_201,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_1) ).

fof(c_0_201_202,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_2) ).

fof(c_0_202_203,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_3) ).

fof(c_0_203_204,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_3) ).

fof(c_0_204_205,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_2) ).

fof(c_0_205_206,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_1) ).

fof(c_0_206_207,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_0) ).

fof(c_0_207_208,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__neg__pos_0) ).

fof(c_0_208_209,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_mult__pos__neg_0) ).

fof(c_0_209_210,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X11),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_mult__pos__neg2_0) ).

fof(c_0_210_211,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_split__mult__pos__le_0) ).

fof(c_0_211_212,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_split__mult__pos__le_1) ).

fof(c_0_212_213,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__nonpos__nonpos_0) ).

fof(c_0_213_214,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_zero__le__mult__iff_4) ).

fof(c_0_214_215,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_zero__le__mult__iff_5) ).

fof(c_0_215_216,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_mult__nonneg__nonneg_0) ).

fof(c_0_216_217,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_mult__le__0__iff_4) ).

fof(c_0_217_218,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__le__0__iff_5) ).

fof(c_0_218_219,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_split__mult__neg__le_0) ).

fof(c_0_219_220,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_split__mult__neg__le_1) ).

fof(c_0_220_221,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_mult__nonneg__nonpos_0) ).

fof(c_0_221_222,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__nonpos__nonneg_0) ).

fof(c_0_222_223,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X11),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_mult__nonneg__nonpos2_0) ).

fof(c_0_223_224,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_mult__pos__pos_0) ).

fof(c_0_224_225,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_mult__neg__neg_0) ).

fof(c_0_225_226,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_abs__leI_0) ).

fof(c_0_226_227,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_abs__le__iff_2) ).

fof(c_0_227_228,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    file('<stdin>',cls_abs__less__iff_2) ).

fof(c_0_228_229,axiom,
    ! [X34,X17,X11,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3),X34) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34)) ),
    file('<stdin>',cls_ab__semigroup__mult__class_Omult__ac_I1_J_0) ).

fof(c_0_229_230,axiom,
    ! [X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),X45) = hAPP(c_HOL_Otimes__class_Otimes(X47,X3),hAPP(c_HOL_Otimes__class_Otimes(X46,X3),X45)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I17_J_0) ).

fof(c_0_230_231,axiom,
    ! [X44,X45,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X47,X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X45),X3),X44) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I18_J_0) ).

fof(c_0_231_232,axiom,
    ! [X18,X16,X9,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),hAPP(c_HOL_Otimes__class_Otimes(X16,X3),X18)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16),X3),X18) ),
    file('<stdin>',cls_class__semiring_Omul__a_0) ).

fof(c_0_232_233,axiom,
    ! [X33,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11),X3),X17) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) ),
    file('<stdin>',cls_mult_OscaleR__left_0) ).

fof(c_0_233_234,axiom,
    ! [X16,X9,X33,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9),X3),X16) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) ),
    file('<stdin>',cls_mult__left_OscaleR_0) ).

fof(c_0_234_235,axiom,
    ! [X16,X9,X11,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9),X3),X16) = hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) ),
    file('<stdin>',cls_mult__scaleR__left_0) ).

fof(c_0_235_236,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X16),X3),X9) = hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X16,X3),X9))
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X9,X3) ),
    file('<stdin>',cls_abs__mult__pos_0) ).

fof(c_0_236_237,axiom,
    ! [X33,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OisCont(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11,X3,X3) ),
    file('<stdin>',cls_scaleR__right_OisCont_0) ).

fof(c_0_237_238,axiom,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisCont(c_HOL_Otimes__class_Otimes(X9,X3),X11,X3,X3) ),
    file('<stdin>',cls_mult__right_OisCont_0) ).

fof(c_0_238_239,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_neg__less__iff__less_0) ).

fof(c_0_239_240,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_neg__le__iff__le_0) ).

fof(c_0_240_241,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17)) ),
    file('<stdin>',cls_abs__mult_0) ).

fof(c_0_241_242,axiom,
    ! [X9,X33,X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | hAPP(X6,hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X13),hAPP(X6,X9))
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_OscaleR_0) ).

fof(c_0_242_243,axiom,
    ! [X9,X41,X37,X11] :
      ( c_lessequals(X9,hAPP(X11,X41),tc_RealDef_Oreal)
      | c_lessequals(hAPP(X11,X37),X9,tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X11,X9,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X11) ),
    file('<stdin>',cls_monoseq__le_0) ).

fof(c_0_243_244,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3) ),
    file('<stdin>',cls_abs__le__D2_0) ).

fof(c_0_244_245,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3) ),
    file('<stdin>',cls_abs__less__iff_1) ).

fof(c_0_245_246,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X11,X3) ),
    file('<stdin>',cls_minus__less__iff_1) ).

fof(c_0_246_247,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X11,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3) ),
    file('<stdin>',cls_minus__less__iff_0) ).

fof(c_0_247_248,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X17,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_less__minus__iff_1) ).

fof(c_0_248_249,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X17,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_HOL_Oord__class_Oless(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3) ),
    file('<stdin>',cls_less__minus__iff_0) ).

fof(c_0_249_250,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X11,X3) ),
    file('<stdin>',cls_minus__le__iff_1) ).

fof(c_0_250_251,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3) ),
    file('<stdin>',cls_minus__le__iff_0) ).

fof(c_0_251_252,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3)
      | ~ c_lessequals(X17,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_le__minus__iff_1) ).

fof(c_0_252_253,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X17,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3) ),
    file('<stdin>',cls_le__minus__iff_0) ).

fof(c_0_253_254,axiom,
    ! [X44,X45,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X47,X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(X45,X3),hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X44)) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I19_J_0) ).

fof(c_0_254_255,axiom,
    ! [X33,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X17)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) ),
    file('<stdin>',cls_mult_OscaleR__right_0) ).

fof(c_0_255_256,axiom,
    ! [X27,X9,X33,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X27,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_HOL_Otimes__class_Otimes(X27,X3),X9)) ),
    file('<stdin>',cls_mult__right_OscaleR_0) ).

fof(c_0_256_257,axiom,
    ! [X16,X9,X11,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X16)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) ),
    file('<stdin>',cls_mult__scaleR__right_0) ).

fof(c_0_257_258,axiom,
    ! [X33,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X17)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X17)) ),
    file('<stdin>',cls_scaleR_OscaleR__right_0) ).

fof(c_0_258_259,axiom,
    ! [X9,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X17,X3),X9)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X17,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9)) ),
    file('<stdin>',cls_scaleR__left__commute_0) ).

fof(c_0_259_260,axiom,
    ! [X9,X48,X33,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X48,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X48,X3),X9)) ),
    file('<stdin>',cls_scaleR__right_OscaleR_0) ).

fof(c_0_260_261,axiom,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X9,X18,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X18,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_order__less__trans_0) ).

fof(c_0_261_262,axiom,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X18,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X18,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3) ),
    file('<stdin>',cls_xt1_I10_J_0) ).

fof(c_0_262_263,axiom,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X9,X18,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X18,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_order__le__less__trans_0) ).

fof(c_0_263_264,axiom,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X9,X18,X3)
      | ~ c_lessequals(X16,X18,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_order__less__le__trans_0) ).

fof(c_0_264_265,axiom,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X18,X3)
      | ~ c_lessequals(X16,X18,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_order__trans_0) ).

fof(c_0_265_266,axiom,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X18,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X18,X16,X3)
      | ~ c_lessequals(X16,X9,X3) ),
    file('<stdin>',cls_xt1_I8_J_0) ).

fof(c_0_266_267,axiom,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X18,X9,X3)
      | ~ c_lessequals(X18,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3) ),
    file('<stdin>',cls_xt1_I7_J_0) ).

fof(c_0_267_268,axiom,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X18,X9,X3)
      | ~ c_lessequals(X18,X16,X3)
      | ~ c_lessequals(X16,X9,X3) ),
    file('<stdin>',cls_xt1_I6_J_0) ).

fof(c_0_268_269,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_not__square__less__zero_0) ).

fof(c_0_269_270,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    file('<stdin>',cls_neg__less__iff__less_1) ).

fof(c_0_270_271,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_le__imp__neg__le_0) ).

fof(c_0_271_272,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_neg__0__le__iff__le_0) ).

fof(c_0_272_273,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__le__0__iff__le_0) ).

fof(c_0_273_274,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__less__0__iff__less_0) ).

fof(c_0_274_275,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_neg__0__less__iff__less_0) ).

fof(c_0_275_276,axiom,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3),X17) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) ),
    file('<stdin>',cls_mult_Ominus__left_0) ).

fof(c_0_276_277,axiom,
    ! [X16,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9),X3),X16) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) ),
    file('<stdin>',cls_mult__left_Ominus_0) ).

fof(c_0_277_278,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3),X17) ),
    file('<stdin>',cls_minus__mult__left_0) ).

fof(c_0_278_279,axiom,
    ! [X19,X20,X21] :
      ( c_lessequals(X21,X19,tc_RealDef_Oreal)
      | ~ c_lessequals(X20,X19,tc_RealDef_Oreal)
      | ~ c_lessequals(X21,X20,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__trans_0) ).

fof(c_0_279_280,axiom,
    ! [X19,X20,X21] :
      ( c_lessequals(X21,X19,tc_nat)
      | ~ c_lessequals(X20,X19,tc_nat)
      | ~ c_lessequals(X21,X20,tc_nat) ),
    file('<stdin>',cls_le__trans_0) ).

fof(c_0_280_281,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_le__minus__self__iff_0) ).

fof(c_0_281_282,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X11,X3) ),
    file('<stdin>',cls_minus__le__self__iff_0) ).

fof(c_0_282_283,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_less__eq__neg__nonpos_0) ).

fof(c_0_283_284,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X11,X3) ),
    file('<stdin>',cls_neg__less__eq__nonneg_0) ).

fof(c_0_284_285,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    file('<stdin>',cls_less__minus__self__iff_0) ).

fof(c_0_285_286,axiom,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X11),X3),X9) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9)) ),
    file('<stdin>',cls_scaleR__minus__left_0) ).

fof(c_0_286_287,axiom,
    ! [X27,X9,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X9),X3),X27) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X9,X3),X27)) ),
    file('<stdin>',cls_scaleR__left_Ominus_0) ).

fof(c_0_287_288,axiom,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X11),X3),X17) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X17)) ),
    file('<stdin>',cls_scaleR_Ominus__left_0) ).

fof(c_0_288_289,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3) ),
    file('<stdin>',cls_abs__le__D1_0) ).

fof(c_0_289_290,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3) ),
    file('<stdin>',cls_abs__less__iff_0) ).

fof(c_0_290_291,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | c_lessequals(X16,X9,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_less__le__not__le_2) ).

fof(c_0_291_292,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__0__le__iff__le_1) ).

fof(c_0_292_293,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_neg__le__0__iff__le_1) ).

fof(c_0_293_294,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_neg__less__0__iff__less_1) ).

fof(c_0_294_295,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_neg__0__less__iff__less_1) ).

fof(c_0_295_296,axiom,
    ! [X17,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X17) ),
    file('<stdin>',cls_square__eq__iff_1) ).

fof(c_0_296_297,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) ),
    file('<stdin>',cls_minus__mult__minus_0) ).

fof(c_0_297_298,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11)) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X11) ),
    file('<stdin>',cls_abs__mult__self_0) ).

fof(c_0_298_299,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3),X17) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) ),
    file('<stdin>',cls_minus__mult__commute_0) ).

fof(c_0_299_300,axiom,
    ! [X7,X8,X2] :
      ( c_lessequals(hAPP(X2,X8),hAPP(X2,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_Oincseq(X2) ),
    file('<stdin>',cls_incseq__def_0) ).

fof(c_0_300_301,axiom,
    ! [X7,X8,X2] :
      ( c_lessequals(hAPP(X2,X7),hAPP(X2,X8),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_Odecseq(X2) ),
    file('<stdin>',cls_decseq__def_0) ).

fof(c_0_301_302,axiom,
    ! [X7,X8,X6] :
      ( c_HOL_Oord__class_Oless(hAPP(X6,X8),hAPP(X6,X7),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | ~ c_SEQ_Osubseq(X6) ),
    file('<stdin>',cls_subseq__def_0) ).

fof(c_0_302_303,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_le__minus__self__iff_1) ).

fof(c_0_303_304,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X11,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_minus__le__self__iff_1) ).

fof(c_0_304_305,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_less__eq__neg__nonpos_1) ).

fof(c_0_305_306,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X11,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_neg__less__eq__nonneg_1) ).

fof(c_0_306_307,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_less__minus__self__iff_1) ).

fof(c_0_307_308,axiom,
    ! [X7,X8,X30] :
      ( hBOOL(hAPP(hAPP(X30,X7),X8))
      | c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | X8 = X7
      | c_HOL_Oord__class_Oless(X8,X7,tc_nat) ),
    file('<stdin>',cls_nat__less__cases_0) ).

fof(c_0_308_309,axiom,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) ),
    file('<stdin>',cls_mult_Ominus__right_0) ).

fof(c_0_309_310,axiom,
    ! [X27,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X27,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X27,X3),X9)) ),
    file('<stdin>',cls_mult__right_Ominus_0) ).

fof(c_0_310_311,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) ),
    file('<stdin>',cls_minus__mult__right_0) ).

fof(c_0_311_312,axiom,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9)) ),
    file('<stdin>',cls_scaleR__minus__right_0) ).

fof(c_0_312_313,axiom,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X17)) ),
    file('<stdin>',cls_scaleR_Ominus__right_0) ).

fof(c_0_313_314,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11)),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__minus__le__zero_0) ).

fof(c_0_314_315,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),c_HOL_Ozero__class_Ozero(X3)),X3) ),
    file('<stdin>',cls_zero__less__abs__iff_0) ).

fof(c_0_315_316,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X16
      | ~ c_lessequals(X16,X9,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_order__antisym_0) ).

fof(c_0_316_317,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X16
      | ~ c_lessequals(X16,X9,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_order__eq__iff_2) ).

fof(c_0_317_318,axiom,
    ! [X17,X11,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | X11 = X17
      | ~ c_SEQ_OLIMSEQ(X2,X17,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    file('<stdin>',cls_LIMSEQ__unique_0) ).

fof(c_0_318_319,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X16
      | ~ c_lessequals(X9,X16,X3)
      | ~ c_lessequals(X16,X9,X3) ),
    file('<stdin>',cls_order__antisym__conv_0) ).

fof(c_0_319_320,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X9,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3) ),
    file('<stdin>',cls_linorder__not__le_1) ).

fof(c_0_320_321,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3)
      | ~ c_lessequals(X16,X9,X3) ),
    file('<stdin>',cls_linorder__not__less_1) ).

fof(c_0_321_322,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X9,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X9,X3) ),
    file('<stdin>',cls_linorder__antisym__conv2_1) ).

fof(c_0_322_323,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_lessequals(X16,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_less__le__not__le_1) ).

fof(c_0_323_324,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    file('<stdin>',cls_order__less__asym_H_0) ).

fof(c_0_324_325,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_order__less__asym_0) ).

fof(c_0_325_326,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_1) ).

fof(c_0_326_327,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3) ),
    file('<stdin>',cls_xt1_I9_J_0) ).

fof(c_0_327_328,axiom,
    ! [X7,X2,X29] :
      ( c_lessequals(X29,hAPP(X2,X7),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X29,tc_RealDef_Oreal)
      | ~ c_SEQ_Odecseq(X2) ),
    file('<stdin>',cls_decseq__le_0) ).

fof(c_0_328_329,axiom,
    ! [X7,X2,X29] :
      ( c_lessequals(hAPP(X2,X7),X29,tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X29,tc_RealDef_Oreal)
      | ~ c_SEQ_Oincseq(X2) ),
    file('<stdin>',cls_incseq__le_0) ).

fof(c_0_329_330,axiom,
    ! [X18,X42] :
      ( X18 = X42
      | ~ c_lessequals(X42,X18,tc_RealDef_Oreal)
      | ~ c_lessequals(X18,X42,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__antisym_0) ).

fof(c_0_330_331,axiom,
    ! [X7,X8] :
      ( X8 = X7
      | ~ c_lessequals(X7,X8,tc_nat)
      | ~ c_lessequals(X8,X7,tc_nat) ),
    file('<stdin>',cls_le__antisym_0) ).

fof(c_0_331_332,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__le__zero__iff_0) ).

fof(c_0_332_333,axiom,
    ! [X16,X9,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) = hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16) ),
    file('<stdin>',cls_mult__left__idem_0) ).

fof(c_0_333_334,axiom,
    ! [X9,X33,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_Oof__real(X3),X33),X3),X9) ),
    file('<stdin>',cls_scaleR__conv__of__real_0) ).

fof(c_0_334_335,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__not__less__zero_0) ).

fof(c_0_335_336,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X9 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),X9),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__le__zero__iff_0) ).

fof(c_0_336_337,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X11) != hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X17)
      | X11 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)
      | X11 = X17 ),
    file('<stdin>',cls_square__eq__iff_0) ).

fof(c_0_337_338,axiom,
    ! [X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OisUCont(X6,X3,X13)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    file('<stdin>',cls_bounded__linear_OisUCont_0) ).

fof(c_0_338_339,axiom,
    ! [X11,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__if__lattice_0) ).

fof(c_0_339_340,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | X9 = X16
      | ~ c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_order__less__le_2) ).

fof(c_0_340_341,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_order__le__less_0) ).

fof(c_0_341_342,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | X11 = X17
      | ~ c_lessequals(X11,X17,X3) ),
    file('<stdin>',cls_order__le__neq__trans_0) ).

fof(c_0_342_343,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(X11,X17,X3)
      | X11 = X17 ),
    file('<stdin>',cls_order__neq__le__trans_0) ).

fof(c_0_343_344,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X9 = X16
      | ~ c_lessequals(X9,X16,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_linorder__antisym__conv1_0) ).

fof(c_0_344_345,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_linorder__antisym__conv2_0) ).

fof(c_0_345_346,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_lessequals(X17,X11,X3)
      | X11 = X17 ),
    file('<stdin>',cls_xt1_I12_J_0) ).

fof(c_0_346_347,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | X11 = X17
      | ~ c_lessequals(X17,X11,X3) ),
    file('<stdin>',cls_xt1_I11_J_0) ).

fof(c_0_347_348,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X9,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_order__le__less_1) ).

fof(c_0_348_349,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_order__less__imp__le_0) ).

fof(c_0_349_350,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X11),X3) ),
    file('<stdin>',cls_zero__le__square_0) ).

fof(c_0_350_351,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__of__neg_0) ).

fof(c_0_351_352,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oabs__if(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__if_0) ).

fof(c_0_352_353,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__of__nonpos_0) ).

fof(c_0_353_354,axiom,
    ! [X9,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9) != hAPP(c_RealVector_OscaleR__class_OscaleR(X17,X3),X9)
      | X9 = c_HOL_Ozero__class_Ozero(X3)
      | X11 = X17 ),
    file('<stdin>',cls_scaleR__cancel__right_0) ).

fof(c_0_354_355,axiom,
    ! [X7,X8] :
      ( c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | X8 = X7
      | ~ c_lessequals(X8,X7,tc_nat) ),
    file('<stdin>',cls_le__neq__implies__less_0) ).

fof(c_0_355_356,axiom,
    ! [X7,X8] :
      ( X8 = X7
      | c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | ~ c_lessequals(X8,X7,tc_nat) ),
    file('<stdin>',cls_le__eq__less__or__eq_0) ).

fof(c_0_356_357,axiom,
    ! [X7,X8] :
      ( c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | X8 = X7
      | ~ c_lessequals(X8,X7,tc_nat) ),
    file('<stdin>',cls_nat__less__le_2) ).

fof(c_0_357_358,axiom,
    ! [X16,X9,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9) != hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X16)
      | X11 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X9 = X16 ),
    file('<stdin>',cls_scaleR__cancel__left_0) ).

fof(c_0_358_359,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3) ),
    file('<stdin>',cls_abs__ge__minus__self_0) ).

fof(c_0_359_360,axiom,
    ! [X7,X8] :
      ( c_lessequals(X8,X7,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X8,X7,tc_nat) ),
    file('<stdin>',cls_nat__less__le_0) ).

fof(c_0_360_361,axiom,
    ! [X16,X9] :
      ( c_lessequals(X9,X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X9,X16,tc_nat) ),
    file('<stdin>',cls_termination__basic__simps_I5_J_0) ).

fof(c_0_361_362,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_Oof__real(X3),X9)) ),
    file('<stdin>',cls_of__real_Ominus_0) ).

fof(c_0_362_363,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = X11
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_abs__of__nonneg_0) ).

fof(c_0_363_364,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = X11
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    file('<stdin>',cls_abs__of__pos_0) ).

fof(c_0_364_365,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | X9 = X16 ),
    file('<stdin>',cls_linorder__neqE_0) ).

fof(c_0_365_366,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_linorder__less__linear_0) ).

fof(c_0_366_367,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3) ),
    file('<stdin>',cls_linorder__antisym__conv3_0) ).

fof(c_0_367_368,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_not__less__iff__gr__or__eq_0) ).

fof(c_0_368_369,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | X9 = X16 ),
    file('<stdin>',cls_linorder__neqE__ordered__idom_0) ).

fof(c_0_369_370,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__le__zero__iff_1) ).

fof(c_0_370_371,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_Oof__real(X3),X9)) ),
    file('<stdin>',cls_of__real__minus_0) ).

fof(c_0_371_372,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_linorder__not__le_0) ).

fof(c_0_372_373,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X16,X9,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3) ),
    file('<stdin>',cls_linorder__not__less_0) ).

fof(c_0_373_374,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X9,X9,X3)
      | c_lessequals(X9,X9,X3) ),
    file('<stdin>',cls_linorder__antisym__conv1_1) ).

fof(c_0_374_375,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | c_lessequals(X16,X9,X3) ),
    file('<stdin>',cls_not__leE_0) ).

fof(c_0_375_376,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X16,X9,X3)
      | c_lessequals(X9,X16,X3) ),
    file('<stdin>',cls_linorder__linear_0) ).

fof(c_0_376_377,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__le__zero__iff_1) ).

fof(c_0_377_378,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_zero__less__abs__iff_1) ).

fof(c_0_378_379,axiom,
    ! [X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(X6,c_Series_Osuminf(X6,X3),X3)
      | ~ c_Series_Osummable(X6,X3) ),
    file('<stdin>',cls_summable__sums_0) ).

fof(c_0_379_380,axiom,
    ! [X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ c_Series_Osummable(X6,X3)
      | c_Series_Osums(X6,c_Series_Osuminf(X6,X3),X3) ),
    file('<stdin>',cls_sums__iff_2) ).

fof(c_0_380_381,axiom,
    ! [X16,X9] :
      ( c_HOL_Oord__class_Oless(X16,X9,tc_nat)
      | c_HOL_Oord__class_Oless(X9,X16,tc_nat)
      | X9 = X16 ),
    file('<stdin>',cls_linorder__neqE__nat_0) ).

fof(c_0_381_382,axiom,
    ! [X7,X8] :
      ( c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | X8 = X7 ),
    file('<stdin>',cls_nat__neq__iff_0) ).

fof(c_0_382_383,axiom,
    ! [X22,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X22 = c_Series_Osuminf(X6,X3)
      | ~ c_Series_Osums(X6,X22,X3) ),
    file('<stdin>',cls_sums__unique_0) ).

fof(c_0_383_384,axiom,
    ! [X9,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(X6,X3) = X9
      | ~ c_Series_Osums(X6,X9,X3) ),
    file('<stdin>',cls_sums__iff_1) ).

fof(c_0_384_385,axiom,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OCauchy(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    file('<stdin>',cls_LIMSEQ__imp__Cauchy_0) ).

fof(c_0_385_386,axiom,
    ! [X15,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osums(X6,X15,X3) ),
    file('<stdin>',cls_sums__summable_0) ).

fof(c_0_386_387,axiom,
    ! [X9,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osums(X6,X9,X3) ),
    file('<stdin>',cls_sums__iff_0) ).

fof(c_0_387_388,axiom,
    ! [X18,X42] :
      ( c_lessequals(X42,X18,tc_RealDef_Oreal)
      | c_lessequals(X18,X42,tc_RealDef_Oreal) ),
    file('<stdin>',cls_real__le__linear_0) ).

fof(c_0_388_389,axiom,
    ! [X7,X8] :
      ( c_lessequals(X7,X8,tc_nat)
      | c_lessequals(X8,X7,tc_nat) ),
    file('<stdin>',cls_nat__le__linear_0) ).

fof(c_0_389_390,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3) ),
    file('<stdin>',cls_abs__ge__zero_0) ).

fof(c_0_390_391,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(X3),X9),tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__ge__zero_0) ).

fof(c_0_391_392,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(X11,hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3) ),
    file('<stdin>',cls_abs__ge__self_0) ).

fof(c_0_392_393,axiom,
    ! [X16,X9,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3),X9) = hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3),X16) ),
    file('<stdin>',cls_scaleR__cancel__left_1) ).

fof(c_0_393_394,axiom,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X17,X3),c_HOL_Ozero__class_Ozero(X3)) ),
    file('<stdin>',cls_scaleR__cancel__right_1) ).

fof(c_0_394_395,axiom,
    ! [X11,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = X11
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__if__lattice_1) ).

fof(c_0_395_396,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X9,X3) ),
    file('<stdin>',cls_linorder__neq__iff_1) ).

fof(c_0_396_397,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X9,X3) ),
    file('<stdin>',cls_order__less__le_1) ).

fof(c_0_397_398,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X9,X3) ),
    file('<stdin>',cls_order__less__irrefl_0) ).

fof(c_0_398_399,axiom,
    ! [X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X6,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_Series_Osummable(X6,X3) ),
    file('<stdin>',cls_summable__LIMSEQ__zero_0) ).

fof(c_0_399_400,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oabs__if(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = X11
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    file('<stdin>',cls_abs__if_1) ).

fof(c_0_400_401,axiom,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    file('<stdin>',cls_ATP__Linkup_Ofequal__imp__equal_0) ).

fof(c_0_401_402,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_RealVector_Obounded__linear(c_HOL_Otimes__class_Otimes(X11,X3),X3,X3) ),
    file('<stdin>',cls_mult_Obounded__linear__right_0) ).

fof(c_0_402_403,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisUCont(c_HOL_Otimes__class_Otimes(X9,X3),X3,X3) ),
    file('<stdin>',cls_mult__right_OisUCont_0) ).

fof(c_0_403_404,axiom,
    ! [X33,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OisUCont(c_RealVector_OscaleR__class_OscaleR(X33,X3),X3,X3) ),
    file('<stdin>',cls_scaleR__right_OisUCont_0) ).

fof(c_0_404_405,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Obounded__linear(c_RealVector_OscaleR__class_OscaleR(X11,X3),X3,X3) ),
    file('<stdin>',cls_scaleR_Obounded__linear__right_0) ).

fof(c_0_405_406,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) != c_HOL_Ozero__class_Ozero(X3)
      | X17 = c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__eq__0__iff_0) ).

fof(c_0_406_407,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) != c_HOL_Ozero__class_Ozero(X3)
      | X17 = c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_no__zero__divisors_0) ).

fof(c_0_407_408,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3)
      | X17 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_no__zero__divirors__neq0_0) ).

fof(c_0_408_409,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16) = hAPP(c_HOL_Otimes__class_Otimes(X16,X3),X9) ),
    file('<stdin>',cls_class__semiring_Omul__c_0) ).

fof(c_0_409_410,axiom,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) = hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X11) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I7_J_0) ).

fof(c_0_410_411,axiom,
    ! [X7,X6] :
      ( c_lessequals(X7,hAPP(X6,X7),tc_nat)
      | ~ c_SEQ_Osubseq(X6) ),
    file('<stdin>',cls_seq__suble_0) ).

fof(c_0_411_412,axiom,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9) != c_HOL_Ozero__class_Ozero(X3)
      | X9 = c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_scaleR__eq__0__iff_0) ).

fof(c_0_412_413,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = hAPP(c_HOL_Oabs__class_Oabs(X3),X11) ),
    file('<stdin>',cls_abs__minus__cancel_0) ).

fof(c_0_413_414,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11)) = hAPP(c_HOL_Oabs__class_Oabs(X3),X11) ),
    file('<stdin>',cls_abs__idempotent_0) ).

fof(c_0_414_415,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9)) = hAPP(c_RealVector_Onorm__class_Onorm(X3),X9) ),
    file('<stdin>',cls_norm__minus__cancel_0) ).

fof(c_0_415_416,axiom,
    ! [X16,X9] :
      ( hAPP(c_Complex_OIm,X9) != hAPP(c_Complex_OIm,X16)
      | hAPP(c_Complex_ORe,X9) != hAPP(c_Complex_ORe,X16)
      | X9 = X16 ),
    file('<stdin>',cls_complex__equality_0) ).

fof(c_0_416_417,axiom,
    ! [X16,X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X16)
      | X9 = X16 ),
    file('<stdin>',cls_compl__eq__compl__iff_0) ).

fof(c_0_417_418,axiom,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)
      | X11 = X17 ),
    file('<stdin>',cls_neg__equal__iff__equal_0) ).

fof(c_0_418_419,axiom,
    ! [X16,X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),X9) != hAPP(c_RealVector_Oof__real(X3),X16)
      | X9 = X16 ),
    file('<stdin>',cls_of__real__eq__iff_0) ).

fof(c_0_419_420,axiom,
    ! [X17,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = X17 ),
    file('<stdin>',cls_minus__equation__iff_1) ).

fof(c_0_420_421,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X11 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) ),
    file('<stdin>',cls_equation__minus__iff_1) ).

fof(c_0_421_422,axiom,
    ! [X17,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X17 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) ),
    file('<stdin>',cls_equation__minus__iff_0) ).

fof(c_0_422_423,axiom,
    ! [X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9)) = X9 ),
    file('<stdin>',cls_double__compl_0) ).

fof(c_0_423_424,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = X11 ),
    file('<stdin>',cls_minus__minus_0) ).

fof(c_0_424_425,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X11) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I9_J_0) ).

fof(c_0_425_426,axiom,
    ! [X16,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X16) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__left_Ozero_0) ).

fof(c_0_426_427,axiom,
    ! [X17,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X17) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult_Ozero__left_0) ).

fof(c_0_427_428,axiom,
    ! [X9,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X9) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__semiring_Omul__0_0) ).

fof(c_0_428_429,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X11) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__zero__left_0) ).

fof(c_0_429_430,axiom,
    ! [X17,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X17) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__eq__0__iff_1) ).

fof(c_0_430_431,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X9,X3) ),
    file('<stdin>',cls_order__eq__refl_0) ).

fof(c_0_431_432,axiom,
    ! [X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X9,X9,X3) ),
    file('<stdin>',cls_order__eq__iff_0) ).

fof(c_0_432_433,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR_Ozero__right_0) ).

fof(c_0_433_434,axiom,
    ! [X17,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3),X17) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR_Ozero__left_0) ).

fof(c_0_434_435,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR__eq__0__iff_2) ).

fof(c_0_435_436,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3),X9) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_scaleR__eq__0__iff_1) ).

fof(c_0_436_437,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_class__semiring_Osemiring__rules_I10_J_0) ).

fof(c_0_437_438,axiom,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult_Ozero__right_0) ).

fof(c_0_438_439,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__right_Ozero_0) ).

fof(c_0_439_440,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__zero__right_0) ).

fof(c_0_440_441,axiom,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_mult__eq__0__iff_2) ).

fof(c_0_441_442,axiom,
    ! [X16,X27,X9] :
      ( c_Complex_Ocomplex_OComplex(X9,X16) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X27)
      | X16 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_complex__eq__cancel__iff2_1) ).

fof(c_0_442_443,axiom,
    ! [X16,X27,X9] :
      ( c_Complex_Ocomplex_OComplex(X9,X16) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X27)
      | X9 = X27 ),
    file('<stdin>',cls_complex__eq__cancel__iff2_0) ).

fof(c_0_443_444,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__0__iff__equal_0) ).

fof(c_0_444_445,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | c_HOL_Ozero__class_Ozero(X3) = X11 ),
    file('<stdin>',cls_neg__0__equal__iff__equal_0) ).

fof(c_0_445_446,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_abs__eq__0_0) ).

fof(c_0_446_447,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),X9) != c_HOL_Ozero__class_Ozero(X3)
      | X9 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_of__real__eq__0__iff_0) ).

fof(c_0_447_448,axiom,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),X9) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X9 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_norm__eq__zero_0) ).

fof(c_0_448_449,axiom,
    ! [X9,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X9) = X9 ),
    file('<stdin>',cls_mult__idem_0) ).

fof(c_0_449_450,axiom,
    ! [X23,X24,X25,X26] :
      ( c_Complex_Ocomplex_OComplex(X26,X24) != c_Complex_Ocomplex_OComplex(X25,X23)
      | X24 = X23 ),
    file('<stdin>',cls_complex_Oinject_1) ).

fof(c_0_450_451,axiom,
    ! [X23,X24,X25,X26] :
      ( c_Complex_Ocomplex_OComplex(X26,X24) != c_Complex_Ocomplex_OComplex(X25,X23)
      | X26 = X25 ),
    file('<stdin>',cls_complex_Oinject_0) ).

fof(c_0_451_452,axiom,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11) != X11
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__zero_0) ).

fof(c_0_452_453,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_of__real_Ozero_0) ).

fof(c_0_453_454,axiom,
    ! [X16,X9] :
      ( hAPP(c_Complex_Ocnj,X9) != hAPP(c_Complex_Ocnj,X16)
      | X9 = X16 ),
    file('<stdin>',cls_complex__cnj__cancel__iff_0) ).

fof(c_0_454_455,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_abs__eq__0_1) ).

fof(c_0_455_456,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) ),
    file('<stdin>',cls_neg__0__equal__iff__equal_1) ).

fof(c_0_456_457,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_minus__zero_0) ).

fof(c_0_457_458,axiom,
    ! [X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_neg__equal__zero_1) ).

fof(c_0_458_459,axiom,
    ! [X4,X5] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
      | ~ class_Lattices_Oboolean__algebra(X5) ),
    file('<stdin>',clsarity_fun__Lattices_Oboolean__algebra) ).

fof(c_0_459_460,axiom,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Opreorder) ).

fof(c_0_460_461,axiom,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    file('<stdin>',clsarity_fun__Orderings_Oorder) ).

fof(c_0_461_462,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_norm__zero_0) ).

fof(c_0_462_463,axiom,
    ! [X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X3) ),
    file('<stdin>',cls_of__real__0_0) ).

fof(c_0_463_464,axiom,
    ! [X17,X11] :
      ( c_Complex_Ocomplex_OComplex(X11,X17) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X17 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_Complex__eq__0_1) ).

fof(c_0_464_465,axiom,
    ! [X17,X11] :
      ( c_Complex_Ocomplex_OComplex(X11,X17) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X11 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    file('<stdin>',cls_Complex__eq__0_0) ).

fof(c_0_465_466,axiom,
    ! [X18] :
      ( hAPP(c_Complex_Ocnj,X18) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X18 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    file('<stdin>',cls_complex__cnj__zero__iff_0) ).

fof(c_0_466_467,axiom,
    ! [X2] :
      ( c_SEQ_Omonoseq(X2)
      | ~ c_SEQ_Oincseq(X2) ),
    file('<stdin>',cls_incseq__imp__monoseq_0) ).

fof(c_0_467_468,axiom,
    ! [X2] :
      ( c_SEQ_Omonoseq(X2)
      | ~ c_SEQ_Odecseq(X2) ),
    file('<stdin>',cls_decseq__imp__monoseq_0) ).

fof(c_0_468_469,plain,
    ! [X6] :
      ( v_thesis____
      | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X6,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
      | ~ c_SEQ_Osubseq(X6) ),
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_469_470,plain,
    ! [X6,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),c_Series_Osuminf(X6,X3)),c_Series_Osuminf(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X6,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X6,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_1]) ).

fof(c_0_470_471,plain,
    ! [X6,X31,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X3),X6,X3,X3,X13),X31,X13,X3)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X3),X6,X3,X3,X13),X31,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_2]) ).

fof(c_0_471_472,plain,
    ! [X15,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_Fun_Ocomp(X10,X6,X3,X13,X12),X11,hAPP(X10,X15),X12,X13)
      | ~ c_Lim_OLIM(X6,X11,X15,X12,X3)
      | ~ c_Lim_OLIM(X10,X15,hAPP(X10,X15),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_3]) ).

fof(c_0_472_473,plain,
    ! [X15,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(X10,X6,X3,X13,X12),X11,hAPP(X10,X15),X12,X13)
      | ~ c_Lim_OLIM(X6,X11,X15,X12,X3)
      | ~ c_Lim_OLIM(X10,X15,hAPP(X10,X15),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_4]) ).

fof(c_0_473_474,plain,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_Otendsto(X6,X11,X14,X3,X13)
      | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X11),X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_5]) ).

fof(c_0_474_475,plain,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(X6,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_6]) ).

fof(c_0_475_476,plain,
    ! [X6,X31,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),c_Finite__Set_Osetsum(X6,X31,X13,X3)),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X3),X6,X3,X3,X13),X31,X13,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_7]) ).

fof(c_0_476_477,plain,
    ! [X6,X31,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),c_Finite__Set_Osetsum(X6,X31,X13,X3)),c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X6,X3,tc_RealDef_Oreal,X13),X31,X13,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_8]) ).

fof(c_0_477_478,plain,
    ! [X15,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(X10,X6,X3,X13,X12),X11,hAPP(X10,X15),X12,X13)
      | ~ c_Lim_OLIM(X6,X11,X15,X12,X3)
      | ~ c_Lim_OisCont(X10,X15,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_9]) ).

fof(c_0_478_479,plain,
    ! [X9,X15,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X13),X10,X13,X13,X3),X11,hAPP(c_HOL_Otimes__class_Otimes(X9,X13),X15),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_10]) ).

fof(c_0_479_480,plain,
    ! [X33,X15,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X13),X10,X13,X13,X3),X11,hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X13),X15),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_11]) ).

fof(c_0_480_481,plain,
    ! [X9,X14,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X13),X10,X13,X13,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X13),X11),X14,X3,X13)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_12]) ).

fof(c_0_481_482,plain,
    ! [X33,X14,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X13),X10,X13,X13,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X13),X11),X14,X3,X13)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_13]) ).

fof(c_0_482_483,plain,
    ! [X15,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(X6,X10,X3,X13,X12),X11,hAPP(X6,X15),X12,X13)
      | ~ c_Lim_OLIM(X10,X11,X15,X12,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_14]) ).

fof(c_0_483_484,plain,
    ! [X14,X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Limits_Otendsto(c_COMBB(X6,X10,X3,X13,X12),hAPP(X6,X11),X14,X12,X13)
      | ~ c_Limits_Otendsto(X10,X11,X14,X12,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_15]) ).

fof(c_0_484_485,plain,
    ! [X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Ometric__space(X12)
      | c_Lim_OLIM(c_COMBB(X6,X10,X3,X13,X12),X11,c_HOL_Ozero__class_Ozero(X13),X12,X13)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(X3),X12,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_16]) ).

fof(c_0_485_486,plain,
    ! [X9,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X13),X10,X13,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_17]) ).

fof(c_0_486_487,plain,
    ! [X6,X34,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X34,X13),X6,X13,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X6,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_18]) ).

fof(c_0_487_488,plain,
    ! [X6,X34,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X13),X6,X13,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X6,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_19]) ).

fof(c_0_488_489,plain,
    ! [X33,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X13),X10,X13,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_20]) ).

fof(c_0_489_490,plain,
    ! [X15,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__algebra__1(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X13),X10,tc_RealDef_Oreal,X13,X3),X11,hAPP(c_RealVector_Oof__real(X13),X15),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_21]) ).

fof(c_0_490_491,plain,
    ! [X6,X11,X29,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),X11,hAPP(c_HOL_Ouminus__class_Ouminus(X13),X29),X3,X13)
      | ~ c_Lim_OLIM(X6,X11,X29,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_22]) ).

fof(c_0_491_492,plain,
    ! [X15,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X11,hAPP(c_RealVector_Onorm__class_Onorm(X13),X15),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X6,X11,X15,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_23]) ).

fof(c_0_492_493,plain,
    ! [X14,X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__algebra__1(X13)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X13),X10,tc_RealDef_Oreal,X13,X3),hAPP(c_RealVector_Oof__real(X13),X11),X14,X3,X13)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_24]) ).

fof(c_0_493_494,plain,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X11),X14,X3,X13)
      | ~ c_Limits_Otendsto(X6,X11,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_25]) ).

fof(c_0_494_495,plain,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),hAPP(c_RealVector_Onorm__class_Onorm(X13),X11),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X6,X11,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_26]) ).

fof(c_0_495_496,plain,
    ! [X10,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__algebra__1(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X13),X10,tc_RealDef_Oreal,X13,X3),X11,c_HOL_Ozero__class_Ozero(X13),X3,X13)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_27]) ).

fof(c_0_496_497,plain,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X6,X11,c_HOL_Ozero__class_Ozero(X13),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_28]) ).

fof(c_0_497_498,plain,
    ! [X15,X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X10,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X11,hAPP(c_Complex_Ocnj,X15),X3,tc_Complex_Ocomplex)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_29]) ).

fof(c_0_498_499,plain,
    ! [X15,X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X11,hAPP(c_Complex_OIm,X15),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_30]) ).

fof(c_0_499_500,plain,
    ! [X15,X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X11,hAPP(c_Complex_ORe,X15),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,X15,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_31]) ).

fof(c_0_500_501,plain,
    ! [X14,X10,X11,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_Ocnj,X10,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),hAPP(c_Complex_Ocnj,X11),X14,X3,tc_Complex_Ocomplex)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_32]) ).

fof(c_0_501_502,plain,
    ! [X14,X10,X11,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),hAPP(c_Complex_OIm,X11),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_33]) ).

fof(c_0_502_503,plain,
    ! [X14,X10,X11,X3] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),hAPP(c_Complex_ORe,X11),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X10,X11,X14,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_34]) ).

fof(c_0_503_504,plain,
    ! [X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_35]) ).

fof(c_0_504_505,plain,
    ! [X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X11,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_36]) ).

fof(c_0_505_506,plain,
    ! [X10,X11,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X10,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X11,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
      | ~ c_Lim_OLIM(X10,X11,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_37]) ).

fof(c_0_506_507,plain,
    ! [X6,X31,X13,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X3),X6,X3,X3,X13),X31,X13,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_38]) ).

fof(c_0_507_508,axiom,
    ! [X51,X9,X52,X10,X53,X6,X54,X50,X12,X13,X3] :
      ( hAPP(X6,hAPP(X10,X9)) != hAPP(X53,hAPP(X52,X51))
      | hAPP(c_Fun_Ocomp(X6,X10,X13,X3,X12),X9) = hAPP(c_Fun_Ocomp(X53,X52,X50,X3,X54),X51) ),
    c_0_39 ).

fof(c_0_508_509,plain,
    ! [X9,X10,X6,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osummable(X10,tc_RealDef_Oreal)
      | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),hAPP(X6,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X6,X10,X9,X3))),hAPP(X10,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X6,X10,X9,X3)),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_40]) ).

fof(c_0_509_510,plain,
    ! [X11,X2,X32,X29,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(X2,X32,X3,X13,tc_nat),X29,X13)
      | ~ c_SEQ_OLIMSEQ(X32,X11,X3)
      | hAPP(X32,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X32,X11,X3)) = X11
      | ~ c_Lim_OLIM(X2,X11,X29,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_41]) ).

fof(c_0_510_511,plain,
    ! [X14,X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(X6,X14,X3,X13)
      | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X14,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_42]) ).

fof(c_0_511_512,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X2,X11,X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_43]) ).

fof(c_0_512_513,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_44]) ).

fof(c_0_513_514,axiom,
    ! [X49,X43,X34,X17,X11,X50,X12,X13,X3] :
      ( c_Fun_Ocomp(X11,X17,X12,X13,X3) != c_Fun_Ocomp(X34,X43,X50,X13,X3)
      | hAPP(X11,hAPP(X17,X49)) = hAPP(X34,hAPP(X43,X49)) ),
    c_0_45 ).

fof(c_0_514_515,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(X2,X3)
      | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_46]) ).

fof(c_0_515_516,plain,
    ! [X6,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X6,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_47]) ).

fof(c_0_516_517,plain,
    ! [X6,X11,X28,X29,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X13)
      | ~ class_RealVector_Oreal__normed__algebra__1(X3)
      | X29 = X28
      | ~ c_Lim_OLIM(X6,X11,X28,X3,X13)
      | ~ c_Lim_OLIM(X6,X11,X29,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_48]) ).

fof(c_0_517_518,plain,
    ! [X2] :
      ( c_SEQ_Odecseq(X2)
      | ~ c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat)) ),
    inference(fof_simplification,[status(thm)],[c_0_49]) ).

fof(c_0_518_519,plain,
    ! [X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X12)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OisCont(c_Fun_Ocomp(X10,X6,X13,X12,X3),X11,X3,X12)
      | ~ c_Lim_OisCont(X10,hAPP(X6,X11),X13,X12)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_50]) ).

fof(c_0_519_520,plain,
    ! [X10,X6,X11,X12,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X12)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OisCont(c_COMBB(X10,X6,X13,X12,X3),X11,X3,X12)
      | ~ c_Lim_OisCont(X10,hAPP(X6,X11),X13,X12)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_51]) ).

fof(c_0_520_521,plain,
    ! [X10,X11,X31,X13,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),c_Finite__Set_Osetsum(X10,X31,X13,X3)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X11,X3),X10,X3,X3,X13),X31,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_52]) ).

fof(c_0_521_522,plain,
    ! [X9,X10,X31,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),c_Finite__Set_Osetsum(X10,X31,X13,X3)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X10,X3,X3,X13),X31,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_53]) ).

fof(c_0_522_523,plain,
    ! [X33,X6,X31,X13,X3] :
      ( ~ class_Ring__and__Field_Osemiring__0(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X33,X3),c_Finite__Set_Osetsum(X6,X31,X13,X3)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X33,X3),X6,X3,X3,X13),X31,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_54]) ).

fof(c_0_523_524,plain,
    ! [X10,X31,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_Finite__Set_Osetsum(X10,X31,X13,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X3),X10,tc_RealDef_Oreal,X3,X13),X31,X13,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_55]) ).

fof(c_0_524_525,plain,
    ! [X6,X31,X13,X3] :
      ( ~ class_OrderedGroup_Oab__group__add(X3)
      | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X6,X3,X3,X13),X31,X13,X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Finite__Set_Osetsum(X6,X31,X13,X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_56]) ).

fof(c_0_525_526,plain,
    ! [X14,X10,X6,X12,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Limits_OZfun(c_COMBB(X6,X10,X3,X13,X12),X14,X12,X13)
      | ~ c_Limits_OZfun(X10,X14,X12,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_57]) ).

fof(c_0_526_527,plain,
    ! [X9,X14,X10,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X13),X10,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X10,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_58]) ).

fof(c_0_527_528,plain,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X11,X13),X6,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X6,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_59]) ).

fof(c_0_528_529,plain,
    ! [X33,X14,X10,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X13),X10,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X10,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_60]) ).

fof(c_0_529_530,plain,
    ! [X14,X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X11,X13),X6,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X6,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_61]) ).

fof(c_0_530_531,plain,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),X11,X3,X13)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_62]) ).

fof(c_0_531_532,plain,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X11,X3,tc_RealDef_Oreal)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_63]) ).

fof(c_0_532_533,plain,
    ! [X14,X10,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | ~ class_RealVector_Oreal__algebra__1(X13)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X13),X10,tc_RealDef_Oreal,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X10,X14,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_64]) ).

fof(c_0_533_534,plain,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Oreal__normed__algebra__1(X13)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X13),X6,tc_RealDef_Oreal,X13,X3),X11,X3,X13)
      | ~ c_Lim_OisCont(X6,X11,X3,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_65]) ).

fof(c_0_534_535,plain,
    ! [X14,X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X13),X6,X13,X13,X3),X14,X3,X13)
      | ~ c_Limits_OZfun(X6,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_66]) ).

fof(c_0_535_536,plain,
    ! [X14,X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X13),X6,X13,tc_RealDef_Oreal,X3),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X6,X14,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_67]) ).

fof(c_0_536_537,plain,
    ! [X14,X10,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_Ocnj,X10,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X14,X3,tc_Complex_Ocomplex)
      | ~ c_Limits_OZfun(X10,X14,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_68]) ).

fof(c_0_537_538,plain,
    ! [X14,X10,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X10,X14,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_69]) ).

fof(c_0_538_539,plain,
    ! [X14,X10,X3] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X10,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X14,X3,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X10,X14,X3,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_70]) ).

fof(c_0_539_540,plain,
    ! [X9,X10,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(X6,X10,X3,X3,X3),X9,X3)
      | ~ c_Deriv_Odifferentiable(X10,X9,X3)
      | ~ c_Deriv_Odifferentiable(X6,hAPP(X10,X9),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_71]) ).

fof(c_0_540_541,plain,
    ! [X33,X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_72]) ).

fof(c_0_541_542,plain,
    ! [X9,X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X11),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_73]) ).

fof(c_0_542_543,plain,
    ! [X33,X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11),X3)
      | ~ c_Series_Osums(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_74]) ).

fof(c_0_543_544,plain,
    ! [X9,X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X11),X3)
      | ~ c_Series_Osums(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_75]) ).

fof(c_0_544_545,plain,
    ! [X6,X34,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X34,X3),X6,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),X3)
      | ~ c_Series_Osums(X6,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_76]) ).

fof(c_0_545_546,plain,
    ! [X6,X11,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_SEQ_OLIMSEQ(c_COMBB(X6,X2,X3,X13,tc_nat),hAPP(X6,X11),X13)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_77]) ).

fof(c_0_546_547,plain,
    ! [X6,X11,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Series_Osums(c_COMBB(X6,X2,X3,X13,tc_nat),hAPP(X6,X11),X13)
      | ~ c_Series_Osums(X2,X11,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_78]) ).

fof(c_0_547_548,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X11),X3)
      | ~ c_Series_Osums(X2,X11,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_79]) ).

fof(c_0_548_549,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X11),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_80]) ).

fof(c_0_549_550,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_Series_Osums(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_81]) ).

fof(c_0_550_551,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_82]) ).

fof(c_0_551_552,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X11),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_83]) ).

fof(c_0_552_553,plain,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | hAPP(X6,c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_Series_Osummable(X2,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_84]) ).

fof(c_0_553_554,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_85]) ).

fof(c_0_554_555,plain,
    ! [X9,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__field(X3)
      | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X6,X3,X3,X3),X9,X3)
      | ~ c_Deriv_Odifferentiable(X6,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_86]) ).

fof(c_0_555_556,plain,
    ! [X6,X34,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X34,X3),X6,X3,X3,tc_nat),X3) = hAPP(c_HOL_Otimes__class_Otimes(X34,X3),c_Series_Osuminf(X6,X3))
      | ~ c_Series_Osummable(X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_87]) ).

fof(c_0_556_557,plain,
    ! [X9,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_88]) ).

fof(c_0_557_558,plain,
    ! [X33,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),c_Series_Osuminf(X2,X3)) = c_Series_Osuminf(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_89]) ).

fof(c_0_558_559,plain,
    ! [X6,X2,X29,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OLIMSEQ(c_Fun_Ocomp(X2,X6,tc_nat,X3,tc_nat),X29,X3)
      | ~ c_SEQ_Osubseq(X6)
      | ~ c_SEQ_OLIMSEQ(X2,X29,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_90]) ).

fof(c_0_559_560,plain,
    ! [X11,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X11),tc_Complex_Ocomplex)
      | ~ c_Series_Osums(X2,X11,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_91]) ).

fof(c_0_560_561,plain,
    ! [X11,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X11),tc_Complex_Ocomplex)
      | ~ c_SEQ_OLIMSEQ(X2,X11,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_92]) ).

fof(c_0_561_562,plain,
    ! [X11,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X11),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X2,X11,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_93]) ).

fof(c_0_562_563,plain,
    ! [X11,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X11),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X11,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_94]) ).

fof(c_0_563_564,plain,
    ! [X11,X2] :
      ( c_Series_Osums(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X11),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X2,X11,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_95]) ).

fof(c_0_564_565,plain,
    ! [X11,X2] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X11),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X11,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_96]) ).

fof(c_0_565_566,plain,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Series_Osummable(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_Series_Osummable(X2,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_97]) ).

fof(c_0_566_567,plain,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_SEQ_OZseq(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_SEQ_OZseq(X2,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_98]) ).

fof(c_0_567_568,plain,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_SEQ_OCauchy(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_SEQ_OCauchy(X2,X3)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_99]) ).

fof(c_0_568_569,plain,
    ! [X6,X2,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_SEQ_OCauchy(c_COMBB(X6,X2,X3,X13,tc_nat),X13)
      | ~ c_SEQ_OCauchy(X2,X3)
      | ~ c_Lim_OisUCont(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_100]) ).

fof(c_0_569_570,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_Series_Osuminf(X2,X3))
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_101]) ).

fof(c_0_570_571,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_Series_Osuminf(X2,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_102]) ).

fof(c_0_571_572,plain,
    ! [X33,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_103]) ).

fof(c_0_572_573,plain,
    ! [X6,X34,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X34,X3),X6,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_104]) ).

fof(c_0_573_574,plain,
    ! [X9,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_105]) ).

fof(c_0_574_575,plain,
    ! [X9,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_106]) ).

fof(c_0_575_576,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X11,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_107]) ).

fof(c_0_576_577,plain,
    ! [X33,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_108]) ).

fof(c_0_577_578,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X11,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_109]) ).

fof(c_0_578_579,plain,
    ! [X9,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_SEQ_OCauchy(c_COMBB(c_HOL_Otimes__class_Otimes(X9,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_110]) ).

fof(c_0_579_580,plain,
    ! [X33,X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OCauchy(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_111]) ).

fof(c_0_580_581,plain,
    ! [X2] :
      ( hAPP(c_Complex_Ocnj,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_112]) ).

fof(c_0_581_582,plain,
    ! [X2] :
      ( hAPP(c_Complex_OIm,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_113]) ).

fof(c_0_582_583,plain,
    ! [X2] :
      ( hAPP(c_Complex_ORe,c_Series_Osuminf(X2,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_114]) ).

fof(c_0_583_584,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_115]) ).

fof(c_0_584_585,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_116]) ).

fof(c_0_585_586,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X3),X2,tc_RealDef_Oreal,X3,tc_nat),X3)
      | ~ c_SEQ_OCauchy(X2,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_117]) ).

fof(c_0_586_587,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_118]) ).

fof(c_0_587_588,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X2,X3,X3,tc_nat),X3)
      | ~ c_Series_Osummable(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_119]) ).

fof(c_0_588_589,plain,
    ! [X2,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X2,X3,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_120]) ).

fof(c_0_589_590,plain,
    ! [X6,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OCauchy(c_Fun_Ocomp(X2,X6,tc_nat,X3,tc_nat),X3)
      | ~ c_SEQ_Osubseq(X6)
      | ~ c_SEQ_OCauchy(X2,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_121]) ).

fof(c_0_590_591,plain,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_122]) ).

fof(c_0_591_592,plain,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_123]) ).

fof(c_0_592_593,plain,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_Ocnj,X2,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_124]) ).

fof(c_0_593_594,plain,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_125]) ).

fof(c_0_594_595,plain,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_126]) ).

fof(c_0_595_596,plain,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_127]) ).

fof(c_0_596_597,plain,
    ! [X2] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_128]) ).

fof(c_0_597_598,plain,
    ! [X2] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_129]) ).

fof(c_0_598_599,plain,
    ! [X2] :
      ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X2,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X2,tc_Complex_Ocomplex) ),
    inference(fof_simplification,[status(thm)],[c_0_130]) ).

fof(c_0_599_600,plain,
    ! [X11] :
      ( c_SEQ_Omonoseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X11,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
      | ~ c_SEQ_Omonoseq(X11) ),
    inference(fof_simplification,[status(thm)],[c_0_131]) ).

fof(c_0_600_601,plain,
    ! [X2] :
      ( c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
      | ~ c_SEQ_Odecseq(X2) ),
    inference(fof_simplification,[status(thm)],[c_0_132]) ).

fof(c_0_601_602,plain,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OisCont(X6,X11,X3,X13)
      | ~ c_Lim_OLIM(X6,X11,hAPP(X6,X11),X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_133]) ).

fof(c_0_602_603,plain,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OLIM(X6,X11,hAPP(X6,X11),X3,X13)
      | ~ c_Lim_OisCont(X6,X11,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_134]) ).

fof(c_0_603_604,plain,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OLIM(X6,X11,hAPP(X6,X11),X3,X13)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_135]) ).

fof(c_0_604_605,plain,
    ! [X33,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OLIM(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11,hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_136]) ).

fof(c_0_605_606,plain,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OLIM(c_HOL_Otimes__class_Otimes(X9,X3),X11,hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X11),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_137]) ).

fof(c_0_606_607,plain,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17)),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X43),X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X17),X43,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_138]) ).

fof(c_0_607_608,plain,
    ! [X44,X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(X45,X3),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),X44)) ),
    inference(fof_simplification,[status(thm)],[c_0_139]) ).

fof(c_0_608_609,plain,
    ! [X9,X10,X6,X3] :
      ( ~ class_SEQ_Obanach(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osummable(X10,tc_RealDef_Oreal)
      | c_lessequals(X9,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X6,X10,X9,X3),tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_140]) ).

fof(c_0_609_610,plain,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_141]) ).

fof(c_0_610_611,plain,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X34,X43,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_142]) ).

fof(c_0_611_612,plain,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(X34,X43,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_143]) ).

fof(c_0_612_613,plain,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_144]) ).

fof(c_0_613_614,plain,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,X43,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_145]) ).

fof(c_0_614_615,plain,
    ! [X43,X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X43),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(X34,X43,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_146]) ).

fof(c_0_615_616,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Olordered__ring(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_147]) ).

fof(c_0_616_617,plain,
    ! [X44,X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(X47,X3),hAPP(c_HOL_Otimes__class_Otimes(X46,X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44))) ),
    inference(fof_simplification,[status(thm)],[c_0_148]) ).

fof(c_0_617_618,plain,
    ! [X44,X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X45),X3),hAPP(c_HOL_Otimes__class_Otimes(X46,X3),X44)) ),
    inference(fof_simplification,[status(thm)],[c_0_149]) ).

fof(c_0_618_619,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_150]) ).

fof(c_0_619_620,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_151]) ).

fof(c_0_620_621,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_152]) ).

fof(c_0_621_622,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_153]) ).

fof(c_0_622_623,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_154]) ).

fof(c_0_623_624,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_155]) ).

fof(c_0_624_625,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_156]) ).

fof(c_0_625_626,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X17,X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_157]) ).

fof(c_0_626_627,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_158]) ).

fof(c_0_627_628,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_159]) ).

fof(c_0_628_629,plain,
    ! [X9,X39,X7,X40,X8,X11] :
      ( c_lessequals(hAPP(X11,X39),hAPP(X11,X40),tc_RealDef_Oreal)
      | ~ c_lessequals(X40,X39,tc_nat)
      | c_lessequals(hAPP(X11,X8),hAPP(X11,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_OLIMSEQ(X11,X9,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X11) ),
    inference(fof_simplification,[status(thm)],[c_0_160]) ).

fof(c_0_629_630,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_161]) ).

fof(c_0_630,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_162]) ).

fof(c_0_631,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_163]) ).

fof(c_0_632,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_164]) ).

fof(c_0_633,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_165]) ).

fof(c_0_634,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_166]) ).

fof(c_0_635,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17))
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_167]) ).

fof(c_0_636,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17))
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_168]) ).

fof(c_0_637,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17))
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_169]) ).

fof(c_0_638,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17))
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_170]) ).

fof(c_0_639,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_171]) ).

fof(c_0_640,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_172]) ).

fof(c_0_641,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Omult__mono1(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_173]) ).

fof(c_0_642,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Omult__mono(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_174]) ).

fof(c_0_643,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Omult__mono(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_175]) ).

fof(c_0_644,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_176]) ).

fof(c_0_645,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_lessequals(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_177]) ).

fof(c_0_646,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_178]) ).

fof(c_0_647,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_lessequals(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_179]) ).

fof(c_0_648,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_180]) ).

fof(c_0_649,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_181]) ).

fof(c_0_650,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_182]) ).

fof(c_0_651,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_183]) ).

fof(c_0_652,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X34),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34),X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_184]) ).

fof(c_0_653,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_185]) ).

fof(c_0_654,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_186]) ).

fof(c_0_655,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_187]) ).

fof(c_0_656,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_188]) ).

fof(c_0_657,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X34,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_189]) ).

fof(c_0_658,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X11),hAPP(c_HOL_Otimes__class_Otimes(X34,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X34,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_190]) ).

fof(c_0_659,plain,
    ! [X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),X45) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X45),X3),X46) ),
    inference(fof_simplification,[status(thm)],[c_0_191]) ).

fof(c_0_660,plain,
    ! [X37,X7,X38,X8,X2] :
      ( c_lessequals(hAPP(X2,X37),hAPP(X2,X38),tc_RealDef_Oreal)
      | ~ c_lessequals(X38,X37,tc_nat)
      | c_lessequals(hAPP(X2,X8),hAPP(X2,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_Omonoseq(X2) ),
    inference(fof_simplification,[status(thm)],[c_0_192]) ).

fof(c_0_661,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_193]) ).

fof(c_0_662,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_194]) ).

fof(c_0_663,plain,
    ! [X9,X36,X37,X38,X11] :
      ( c_lessequals(hAPP(X11,X36),hAPP(X11,X38),tc_RealDef_Oreal)
      | ~ c_lessequals(X38,X36,tc_nat)
      | c_lessequals(hAPP(X11,X37),X9,tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X11,X9,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X11) ),
    inference(fof_simplification,[status(thm)],[c_0_195]) ).

fof(c_0_664,plain,
    ! [X9,X35,X7,X8,X11] :
      ( c_lessequals(X9,hAPP(X11,X35),tc_RealDef_Oreal)
      | c_lessequals(hAPP(X11,X8),hAPP(X11,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_OLIMSEQ(X11,X9,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X11) ),
    inference(fof_simplification,[status(thm)],[c_0_196]) ).

fof(c_0_665,plain,
    ! [X6,X11,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OisCont(X6,X11,X3,X13)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_197]) ).

fof(c_0_666,plain,
    ! [X9,X6,X13,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | ~ class_RealVector_Ometric__space(X13)
      | c_Lim_OisCont(X6,X9,X3,X13)
      | ~ c_Lim_OisUCont(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_198]) ).

fof(c_0_667,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_199]) ).

fof(c_0_668,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_200]) ).

fof(c_0_669,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_201]) ).

fof(c_0_670,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_202]) ).

fof(c_0_671,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_203]) ).

fof(c_0_672,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_204]) ).

fof(c_0_673,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_205]) ).

fof(c_0_674,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_206]) ).

fof(c_0_675,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_207]) ).

fof(c_0_676,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_208]) ).

fof(c_0_677,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X11),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_209]) ).

fof(c_0_678,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_210]) ).

fof(c_0_679,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_211]) ).

fof(c_0_680,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__ring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_212]) ).

fof(c_0_681,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_213]) ).

fof(c_0_682,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_214]) ).

fof(c_0_683,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_215]) ).

fof(c_0_684,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_216]) ).

fof(c_0_685,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_217]) ).

fof(c_0_686,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_218]) ).

fof(c_0_687,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_219]) ).

fof(c_0_688,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_220]) ).

fof(c_0_689,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_221]) ).

fof(c_0_690,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X3)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X11),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_222]) ).

fof(c_0_691,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X17,X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_223]) ).

fof(c_0_692,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X17,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_224]) ).

fof(c_0_693,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_225]) ).

fof(c_0_694,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_226]) ).

fof(c_0_695,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_227]) ).

fof(c_0_696,plain,
    ! [X34,X17,X11,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17),X3),X34) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X34)) ),
    inference(fof_simplification,[status(thm)],[c_0_228]) ).

fof(c_0_697,plain,
    ! [X45,X46,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X46),X3),X45) = hAPP(c_HOL_Otimes__class_Otimes(X47,X3),hAPP(c_HOL_Otimes__class_Otimes(X46,X3),X45)) ),
    inference(fof_simplification,[status(thm)],[c_0_229]) ).

fof(c_0_698,plain,
    ! [X44,X45,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X47,X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X45),X3),X44) ),
    inference(fof_simplification,[status(thm)],[c_0_230]) ).

fof(c_0_699,plain,
    ! [X18,X16,X9,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),hAPP(c_HOL_Otimes__class_Otimes(X16,X3),X18)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16),X3),X18) ),
    inference(fof_simplification,[status(thm)],[c_0_231]) ).

fof(c_0_700,plain,
    ! [X33,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11),X3),X17) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_232]) ).

fof(c_0_701,plain,
    ! [X16,X9,X33,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9),X3),X16) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_233]) ).

fof(c_0_702,plain,
    ! [X16,X9,X11,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9),X3),X16) = hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_234]) ).

fof(c_0_703,plain,
    ! [X16,X9,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X16),X3),X9) = hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X16,X3),X9))
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_235]) ).

fof(c_0_704,plain,
    ! [X33,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OisCont(c_RealVector_OscaleR__class_OscaleR(X33,X3),X11,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_236]) ).

fof(c_0_705,plain,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisCont(c_HOL_Otimes__class_Otimes(X9,X3),X11,X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_237]) ).

fof(c_0_706,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_238]) ).

fof(c_0_707,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_239]) ).

fof(c_0_708,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_240]) ).

fof(c_0_709,plain,
    ! [X9,X33,X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | hAPP(X6,hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X13),hAPP(X6,X9))
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_241]) ).

fof(c_0_710,plain,
    ! [X9,X41,X37,X11] :
      ( c_lessequals(X9,hAPP(X11,X41),tc_RealDef_Oreal)
      | c_lessequals(hAPP(X11,X37),X9,tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X11,X9,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X11) ),
    inference(fof_simplification,[status(thm)],[c_0_242]) ).

fof(c_0_711,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_243]) ).

fof(c_0_712,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_244]) ).

fof(c_0_713,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_245]) ).

fof(c_0_714,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X11,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_246]) ).

fof(c_0_715,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3)
      | ~ c_HOL_Oord__class_Oless(X17,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_247]) ).

fof(c_0_716,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X17,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_HOL_Oord__class_Oless(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_248]) ).

fof(c_0_717,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_249]) ).

fof(c_0_718,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_250]) ).

fof(c_0_719,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3)
      | ~ c_lessequals(X17,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_251]) ).

fof(c_0_720,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X17,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_252]) ).

fof(c_0_721,plain,
    ! [X44,X45,X47,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X47,X3),hAPP(c_HOL_Otimes__class_Otimes(X45,X3),X44)) = hAPP(c_HOL_Otimes__class_Otimes(X45,X3),hAPP(c_HOL_Otimes__class_Otimes(X47,X3),X44)) ),
    inference(fof_simplification,[status(thm)],[c_0_253]) ).

fof(c_0_722,plain,
    ! [X33,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X17)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_254]) ).

fof(c_0_723,plain,
    ! [X27,X9,X33,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X27,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_HOL_Otimes__class_Otimes(X27,X3),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_255]) ).

fof(c_0_724,plain,
    ! [X16,X9,X11,X3] :
      ( ~ class_RealVector_Oreal__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X16)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_256]) ).

fof(c_0_725,plain,
    ! [X33,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X17)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_257]) ).

fof(c_0_726,plain,
    ! [X9,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X17,X3),X9)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X17,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_258]) ).

fof(c_0_727,plain,
    ! [X9,X48,X33,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X48,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X48,X3),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_259]) ).

fof(c_0_728,plain,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X9,X18,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X18,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_260]) ).

fof(c_0_729,plain,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X18,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X18,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_261]) ).

fof(c_0_730,plain,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X9,X18,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X18,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_262]) ).

fof(c_0_731,plain,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X9,X18,X3)
      | ~ c_lessequals(X16,X18,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_263]) ).

fof(c_0_732,plain,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X18,X3)
      | ~ c_lessequals(X16,X18,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_264]) ).

fof(c_0_733,plain,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X18,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X18,X16,X3)
      | ~ c_lessequals(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_265]) ).

fof(c_0_734,plain,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X18,X9,X3)
      | ~ c_lessequals(X18,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_266]) ).

fof(c_0_735,plain,
    ! [X18,X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X18,X9,X3)
      | ~ c_lessequals(X18,X16,X3)
      | ~ c_lessequals(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_267]) ).

fof(c_0_736,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_268]) ).

fof(c_0_737,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_269]) ).

fof(c_0_738,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_270]) ).

fof(c_0_739,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_271]) ).

fof(c_0_740,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_272]) ).

fof(c_0_741,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_273]) ).

fof(c_0_742,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_274]) ).

fof(c_0_743,plain,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3),X17) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_275]) ).

fof(c_0_744,plain,
    ! [X16,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9),X3),X16) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) ),
    inference(fof_simplification,[status(thm)],[c_0_276]) ).

fof(c_0_745,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3),X17) ),
    inference(fof_simplification,[status(thm)],[c_0_277]) ).

fof(c_0_746,plain,
    ! [X19,X20,X21] :
      ( c_lessequals(X21,X19,tc_RealDef_Oreal)
      | ~ c_lessequals(X20,X19,tc_RealDef_Oreal)
      | ~ c_lessequals(X21,X20,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_278]) ).

fof(c_0_747,plain,
    ! [X19,X20,X21] :
      ( c_lessequals(X21,X19,tc_nat)
      | ~ c_lessequals(X20,X19,tc_nat)
      | ~ c_lessequals(X21,X20,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_279]) ).

fof(c_0_748,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_280]) ).

fof(c_0_749,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_281]) ).

fof(c_0_750,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_282]) ).

fof(c_0_751,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_283]) ).

fof(c_0_752,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_284]) ).

fof(c_0_753,plain,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X11),X3),X9) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_285]) ).

fof(c_0_754,plain,
    ! [X27,X9,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X9),X3),X27) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X9,X3),X27)) ),
    inference(fof_simplification,[status(thm)],[c_0_286]) ).

fof(c_0_755,plain,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X11),X3),X17) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_287]) ).

fof(c_0_756,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(X11,X17,X3)
      | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_288]) ).

fof(c_0_757,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_289]) ).

fof(c_0_758,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | c_lessequals(X16,X9,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_290]) ).

fof(c_0_759,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_291]) ).

fof(c_0_760,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_292]) ).

fof(c_0_761,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_293]) ).

fof(c_0_762,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_294]) ).

fof(c_0_763,plain,
    ! [X17,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17),X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X17) ),
    inference(fof_simplification,[status(thm)],[c_0_295]) ).

fof(c_0_764,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) ),
    inference(fof_simplification,[status(thm)],[c_0_296]) ).

fof(c_0_765,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11)) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X11) ),
    inference(fof_simplification,[status(thm)],[c_0_297]) ).

fof(c_0_766,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3),X17) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_298]) ).

fof(c_0_767,plain,
    ! [X7,X8,X2] :
      ( c_lessequals(hAPP(X2,X8),hAPP(X2,X7),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_Oincseq(X2) ),
    inference(fof_simplification,[status(thm)],[c_0_299]) ).

fof(c_0_768,plain,
    ! [X7,X8,X2] :
      ( c_lessequals(hAPP(X2,X7),hAPP(X2,X8),tc_RealDef_Oreal)
      | ~ c_lessequals(X8,X7,tc_nat)
      | ~ c_SEQ_Odecseq(X2) ),
    inference(fof_simplification,[status(thm)],[c_0_300]) ).

fof(c_0_769,plain,
    ! [X7,X8,X6] :
      ( c_HOL_Oord__class_Oless(hAPP(X6,X8),hAPP(X6,X7),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | ~ c_SEQ_Osubseq(X6) ),
    inference(fof_simplification,[status(thm)],[c_0_301]) ).

fof(c_0_770,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_302]) ).

fof(c_0_771,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X11,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_303]) ).

fof(c_0_772,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_304]) ).

fof(c_0_773,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X11,X3)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_305]) ).

fof(c_0_774,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X11,hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),X3)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_306]) ).

fof(c_0_775,axiom,
    ! [X7,X8,X30] :
      ( hBOOL(hAPP(hAPP(X30,X7),X8))
      | c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | X8 = X7
      | c_HOL_Oord__class_Oless(X8,X7,tc_nat) ),
    c_0_307 ).

fof(c_0_776,plain,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_308]) ).

fof(c_0_777,plain,
    ! [X27,X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X27,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X27,X3),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_309]) ).

fof(c_0_778,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17)) = hAPP(c_HOL_Otimes__class_Otimes(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_310]) ).

fof(c_0_779,plain,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_311]) ).

fof(c_0_780,plain,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_312]) ).

fof(c_0_781,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11)),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_313]) ).

fof(c_0_782,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),c_HOL_Ozero__class_Ozero(X3)),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_314]) ).

fof(c_0_783,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X16
      | ~ c_lessequals(X16,X9,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_315]) ).

fof(c_0_784,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X16
      | ~ c_lessequals(X16,X9,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_316]) ).

fof(c_0_785,plain,
    ! [X17,X11,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | X11 = X17
      | ~ c_SEQ_OLIMSEQ(X2,X17,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_317]) ).

fof(c_0_786,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X16
      | ~ c_lessequals(X9,X16,X3)
      | ~ c_lessequals(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_318]) ).

fof(c_0_787,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X9,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_319]) ).

fof(c_0_788,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3)
      | ~ c_lessequals(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_320]) ).

fof(c_0_789,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_lessequals(X9,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_321]) ).

fof(c_0_790,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_lessequals(X16,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_322]) ).

fof(c_0_791,plain,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_323]) ).

fof(c_0_792,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_324]) ).

fof(c_0_793,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_325]) ).

fof(c_0_794,plain,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_HOL_Oord__class_Oless(X17,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_326]) ).

fof(c_0_795,plain,
    ! [X7,X2,X29] :
      ( c_lessequals(X29,hAPP(X2,X7),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X29,tc_RealDef_Oreal)
      | ~ c_SEQ_Odecseq(X2) ),
    inference(fof_simplification,[status(thm)],[c_0_327]) ).

fof(c_0_796,plain,
    ! [X7,X2,X29] :
      ( c_lessequals(hAPP(X2,X7),X29,tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X2,X29,tc_RealDef_Oreal)
      | ~ c_SEQ_Oincseq(X2) ),
    inference(fof_simplification,[status(thm)],[c_0_328]) ).

fof(c_0_797,plain,
    ! [X18,X42] :
      ( X18 = X42
      | ~ c_lessequals(X42,X18,tc_RealDef_Oreal)
      | ~ c_lessequals(X18,X42,tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_329]) ).

fof(c_0_798,plain,
    ! [X7,X8] :
      ( X8 = X7
      | ~ c_lessequals(X7,X8,tc_nat)
      | ~ c_lessequals(X8,X7,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_330]) ).

fof(c_0_799,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_331]) ).

fof(c_0_800,plain,
    ! [X16,X9,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16)) = hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16) ),
    inference(fof_simplification,[status(thm)],[c_0_332]) ).

fof(c_0_801,plain,
    ! [X9,X33,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X3),X9) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_Oof__real(X3),X33),X3),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_333]) ).

fof(c_0_802,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X11),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_334]) ).

fof(c_0_803,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X9 = c_HOL_Ozero__class_Ozero(X3)
      | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),X9),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_335]) ).

fof(c_0_804,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oidom(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X11) != hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X17)
      | X11 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)
      | X11 = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_336]) ).

fof(c_0_805,plain,
    ! [X6,X13,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__normed__vector(X13)
      | c_Lim_OisUCont(X6,X3,X13)
      | ~ c_RealVector_Obounded__linear(X6,X3,X13) ),
    inference(fof_simplification,[status(thm)],[c_0_337]) ).

fof(c_0_806,plain,
    ! [X11,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_338]) ).

fof(c_0_807,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | X9 = X16
      | ~ c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_339]) ).

fof(c_0_808,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_340]) ).

fof(c_0_809,plain,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | X11 = X17
      | ~ c_lessequals(X11,X17,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_341]) ).

fof(c_0_810,plain,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X11,X17,X3)
      | ~ c_lessequals(X11,X17,X3)
      | X11 = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_342]) ).

fof(c_0_811,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X9 = X16
      | ~ c_lessequals(X9,X16,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_343]) ).

fof(c_0_812,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | ~ c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_344]) ).

fof(c_0_813,plain,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | ~ c_lessequals(X17,X11,X3)
      | X11 = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_345]) ).

fof(c_0_814,plain,
    ! [X17,X11,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_HOL_Oord__class_Oless(X17,X11,X3)
      | X11 = X17
      | ~ c_lessequals(X17,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_346]) ).

fof(c_0_815,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X9,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_347]) ).

fof(c_0_816,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X16,X3)
      | ~ c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_348]) ).

fof(c_0_817,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_349]) ).

fof(c_0_818,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_350]) ).

fof(c_0_819,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oabs__if(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | ~ c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_351]) ).

fof(c_0_820,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | ~ c_lessequals(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_352]) ).

fof(c_0_821,plain,
    ! [X9,X17,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9) != hAPP(c_RealVector_OscaleR__class_OscaleR(X17,X3),X9)
      | X9 = c_HOL_Ozero__class_Ozero(X3)
      | X11 = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_353]) ).

fof(c_0_822,plain,
    ! [X7,X8] :
      ( c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | X8 = X7
      | ~ c_lessequals(X8,X7,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_354]) ).

fof(c_0_823,plain,
    ! [X7,X8] :
      ( X8 = X7
      | c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | ~ c_lessequals(X8,X7,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_355]) ).

fof(c_0_824,plain,
    ! [X7,X8] :
      ( c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | X8 = X7
      | ~ c_lessequals(X8,X7,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_356]) ).

fof(c_0_825,plain,
    ! [X16,X9,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9) != hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X16)
      | X11 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X9 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_357]) ).

fof(c_0_826,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11),hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_358]) ).

fof(c_0_827,plain,
    ! [X7,X8] :
      ( c_lessequals(X8,X7,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X8,X7,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_359]) ).

fof(c_0_828,plain,
    ! [X16,X9] :
      ( c_lessequals(X9,X16,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X9,X16,tc_nat) ),
    inference(fof_simplification,[status(thm)],[c_0_360]) ).

fof(c_0_829,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_Oof__real(X3),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_361]) ).

fof(c_0_830,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = X11
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_362]) ).

fof(c_0_831,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = X11
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_363]) ).

fof(c_0_832,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | X9 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_364]) ).

fof(c_0_833,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_365]) ).

fof(c_0_834,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_366]) ).

fof(c_0_835,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | X9 = X16
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_367]) ).

fof(c_0_836,plain,
    ! [X16,X9,X3] :
      ( ~ class_Ring__and__Field_Oordered__idom(X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | X9 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_368]) ).

fof(c_0_837,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_369]) ).

fof(c_0_838,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X9)) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_RealVector_Oof__real(X3),X9)) ),
    inference(fof_simplification,[status(thm)],[c_0_370]) ).

fof(c_0_839,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X16,X9,X3)
      | c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_371]) ).

fof(c_0_840,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X16,X9,X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_372]) ).

fof(c_0_841,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X9,X9,X3)
      | c_lessequals(X9,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_373]) ).

fof(c_0_842,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_HOL_Oord__class_Oless(X9,X16,X3)
      | c_lessequals(X16,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_374]) ).

fof(c_0_843,plain,
    ! [X16,X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | c_lessequals(X16,X9,X3)
      | c_lessequals(X9,X16,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_375]) ).

fof(c_0_844,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X3),c_HOL_Ozero__class_Ozero(X3)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_376]) ).

fof(c_0_845,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_377]) ).

fof(c_0_846,plain,
    ! [X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osums(X6,c_Series_Osuminf(X6,X3),X3)
      | ~ c_Series_Osummable(X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_378]) ).

fof(c_0_847,plain,
    ! [X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ c_Series_Osummable(X6,X3)
      | c_Series_Osums(X6,c_Series_Osuminf(X6,X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_379]) ).

fof(c_0_848,axiom,
    ! [X16,X9] :
      ( c_HOL_Oord__class_Oless(X16,X9,tc_nat)
      | c_HOL_Oord__class_Oless(X9,X16,tc_nat)
      | X9 = X16 ),
    c_0_380 ).

fof(c_0_849,axiom,
    ! [X7,X8] :
      ( c_HOL_Oord__class_Oless(X7,X8,tc_nat)
      | c_HOL_Oord__class_Oless(X8,X7,tc_nat)
      | X8 = X7 ),
    c_0_381 ).

fof(c_0_850,plain,
    ! [X22,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | X22 = c_Series_Osuminf(X6,X3)
      | ~ c_Series_Osums(X6,X22,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_382]) ).

fof(c_0_851,plain,
    ! [X9,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osuminf(X6,X3) = X9
      | ~ c_Series_Osums(X6,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_383]) ).

fof(c_0_852,plain,
    ! [X11,X2,X3] :
      ( ~ class_RealVector_Ometric__space(X3)
      | c_SEQ_OCauchy(X2,X3)
      | ~ c_SEQ_OLIMSEQ(X2,X11,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_384]) ).

fof(c_0_853,plain,
    ! [X15,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osums(X6,X15,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_385]) ).

fof(c_0_854,plain,
    ! [X9,X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Series_Osummable(X6,X3)
      | ~ c_Series_Osums(X6,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_386]) ).

fof(c_0_855,axiom,
    ! [X18,X42] :
      ( c_lessequals(X42,X18,tc_RealDef_Oreal)
      | c_lessequals(X18,X42,tc_RealDef_Oreal) ),
    c_0_387 ).

fof(c_0_856,axiom,
    ! [X7,X8] :
      ( c_lessequals(X7,X8,tc_nat)
      | c_lessequals(X8,X7,tc_nat) ),
    c_0_388 ).

fof(c_0_857,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_389]) ).

fof(c_0_858,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(X3),X9),tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_390]) ).

fof(c_0_859,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | c_lessequals(X11,hAPP(c_HOL_Oabs__class_Oabs(X3),X11),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_391]) ).

fof(c_0_860,plain,
    ! [X16,X9,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3),X9) = hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3),X16) ),
    inference(fof_simplification,[status(thm)],[c_0_392]) ).

fof(c_0_861,plain,
    ! [X17,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X17,X3),c_HOL_Ozero__class_Ozero(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_393]) ).

fof(c_0_862,plain,
    ! [X11,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = X11
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_394]) ).

fof(c_0_863,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Olinorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_395]) ).

fof(c_0_864,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_396]) ).

fof(c_0_865,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | ~ c_HOL_Oord__class_Oless(X9,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_397]) ).

fof(c_0_866,plain,
    ! [X6,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_SEQ_OLIMSEQ(X6,c_HOL_Ozero__class_Ozero(X3),X3)
      | ~ c_Series_Osummable(X6,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_398]) ).

fof(c_0_867,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oabs__if(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) = X11
      | c_HOL_Oord__class_Oless(X11,c_HOL_Ozero__class_Ozero(X3),X3) ),
    inference(fof_simplification,[status(thm)],[c_0_399]) ).

fof(c_0_868,plain,
    ! [X1,X2,X3] :
      ( X2 = X1
      | ~ c_fequal(X2,X1,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_400]) ).

fof(c_0_869,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_RealVector_Obounded__linear(c_HOL_Otimes__class_Otimes(X11,X3),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_401]) ).

fof(c_0_870,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | c_Lim_OisUCont(c_HOL_Otimes__class_Otimes(X9,X3),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_402]) ).

fof(c_0_871,plain,
    ! [X33,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_Lim_OisUCont(c_RealVector_OscaleR__class_OscaleR(X33,X3),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_403]) ).

fof(c_0_872,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | c_RealVector_Obounded__linear(c_RealVector_OscaleR__class_OscaleR(X11,X3),X3,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_404]) ).

fof(c_0_873,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) != c_HOL_Ozero__class_Ozero(X3)
      | X17 = c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_405]) ).

fof(c_0_874,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) != c_HOL_Ozero__class_Ozero(X3)
      | X17 = c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_406]) ).

fof(c_0_875,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3)
      | X17 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_407]) ).

fof(c_0_876,plain,
    ! [X16,X9,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X16) = hAPP(c_HOL_Otimes__class_Otimes(X16,X3),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_408]) ).

fof(c_0_877,plain,
    ! [X17,X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),X17) = hAPP(c_HOL_Otimes__class_Otimes(X17,X3),X11) ),
    inference(fof_simplification,[status(thm)],[c_0_409]) ).

fof(c_0_878,plain,
    ! [X7,X6] :
      ( c_lessequals(X7,hAPP(X6,X7),tc_nat)
      | ~ c_SEQ_Osubseq(X6) ),
    inference(fof_simplification,[status(thm)],[c_0_410]) ).

fof(c_0_879,plain,
    ! [X9,X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),X9) != c_HOL_Ozero__class_Ozero(X3)
      | X9 = c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_411]) ).

fof(c_0_880,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = hAPP(c_HOL_Oabs__class_Oabs(X3),X11) ),
    inference(fof_simplification,[status(thm)],[c_0_412]) ).

fof(c_0_881,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),hAPP(c_HOL_Oabs__class_Oabs(X3),X11)) = hAPP(c_HOL_Oabs__class_Oabs(X3),X11) ),
    inference(fof_simplification,[status(thm)],[c_0_413]) ).

fof(c_0_882,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9)) = hAPP(c_RealVector_Onorm__class_Onorm(X3),X9) ),
    inference(fof_simplification,[status(thm)],[c_0_414]) ).

fof(c_0_883,axiom,
    ! [X16,X9] :
      ( hAPP(c_Complex_OIm,X9) != hAPP(c_Complex_OIm,X16)
      | hAPP(c_Complex_ORe,X9) != hAPP(c_Complex_ORe,X16)
      | X9 = X16 ),
    c_0_415 ).

fof(c_0_884,plain,
    ! [X16,X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X16)
      | X9 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_416]) ).

fof(c_0_885,plain,
    ! [X17,X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)
      | X11 = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_417]) ).

fof(c_0_886,plain,
    ! [X16,X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),X9) != hAPP(c_RealVector_Oof__real(X3),X16)
      | X9 = X16 ),
    inference(fof_simplification,[status(thm)],[c_0_418]) ).

fof(c_0_887,plain,
    ! [X17,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) = X17 ),
    inference(fof_simplification,[status(thm)],[c_0_419]) ).

fof(c_0_888,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X11 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) ),
    inference(fof_simplification,[status(thm)],[c_0_420]) ).

fof(c_0_889,plain,
    ! [X17,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | X17 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X17)) ),
    inference(fof_simplification,[status(thm)],[c_0_421]) ).

fof(c_0_890,plain,
    ! [X9,X3] :
      ( ~ class_Lattices_Oboolean__algebra(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X9)) = X9 ),
    inference(fof_simplification,[status(thm)],[c_0_422]) ).

fof(c_0_891,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)) = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_423]) ).

fof(c_0_892,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X11) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_424]) ).

fof(c_0_893,plain,
    ! [X16,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X16) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_425]) ).

fof(c_0_894,plain,
    ! [X17,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X17) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_426]) ).

fof(c_0_895,plain,
    ! [X9,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X9) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_427]) ).

fof(c_0_896,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X11) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_428]) ).

fof(c_0_897,plain,
    ! [X17,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X3),X3),X17) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_429]) ).

fof(c_0_898,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Opreorder(X3)
      | c_lessequals(X9,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_430]) ).

fof(c_0_899,plain,
    ! [X9,X3] :
      ( ~ class_Orderings_Oorder(X3)
      | c_lessequals(X9,X9,X3) ),
    inference(fof_simplification,[status(thm)],[c_0_431]) ).

fof(c_0_900,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_432]) ).

fof(c_0_901,plain,
    ! [X17,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3),X17) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_433]) ).

fof(c_0_902,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_434]) ).

fof(c_0_903,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__vector(X3)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3),X9) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_435]) ).

fof(c_0_904,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_436]) ).

fof(c_0_905,plain,
    ! [X11,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_437]) ).

fof(c_0_906,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__algebra(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_438]) ).

fof(c_0_907,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Omult__zero(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_439]) ).

fof(c_0_908,plain,
    ! [X11,X3] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X11,X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_440]) ).

fof(c_0_909,axiom,
    ! [X16,X27,X9] :
      ( c_Complex_Ocomplex_OComplex(X9,X16) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X27)
      | X16 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_441 ).

fof(c_0_910,axiom,
    ! [X16,X27,X9] :
      ( c_Complex_Ocomplex_OComplex(X9,X16) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X27)
      | X9 = X27 ),
    c_0_442 ).

fof(c_0_911,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_443]) ).

fof(c_0_912,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11)
      | c_HOL_Ozero__class_Ozero(X3) = X11 ),
    inference(fof_simplification,[status(thm)],[c_0_444]) ).

fof(c_0_913,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),X11) != c_HOL_Ozero__class_Ozero(X3)
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_445]) ).

fof(c_0_914,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),X9) != c_HOL_Ozero__class_Ozero(X3)
      | X9 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_446]) ).

fof(c_0_915,plain,
    ! [X9,X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),X9) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X9 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_447]) ).

fof(c_0_916,plain,
    ! [X9,X3] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X3)
      | hAPP(c_HOL_Otimes__class_Otimes(X9,X3),X9) = X9 ),
    inference(fof_simplification,[status(thm)],[c_0_448]) ).

fof(c_0_917,axiom,
    ! [X23,X24,X25,X26] :
      ( c_Complex_Ocomplex_OComplex(X26,X24) != c_Complex_Ocomplex_OComplex(X25,X23)
      | X24 = X23 ),
    c_0_449 ).

fof(c_0_918,axiom,
    ! [X23,X24,X25,X26] :
      ( c_Complex_Ocomplex_OComplex(X26,X24) != c_Complex_Ocomplex_OComplex(X25,X23)
      | X26 = X25 ),
    c_0_450 ).

fof(c_0_919,plain,
    ! [X11,X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X11) != X11
      | X11 = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_451]) ).

fof(c_0_920,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_452]) ).

fof(c_0_921,axiom,
    ! [X16,X9] :
      ( hAPP(c_Complex_Ocnj,X9) != hAPP(c_Complex_Ocnj,X16)
      | X9 = X16 ),
    c_0_453 ).

fof(c_0_922,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
      | hAPP(c_HOL_Oabs__class_Oabs(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_454]) ).

fof(c_0_923,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | c_HOL_Ozero__class_Ozero(X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) ),
    inference(fof_simplification,[status(thm)],[c_0_455]) ).

fof(c_0_924,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Ogroup__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_456]) ).

fof(c_0_925,plain,
    ! [X3] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X3)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_457]) ).

fof(c_0_926,plain,
    ! [X4,X5] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X4,X5))
      | ~ class_Lattices_Oboolean__algebra(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_458]) ).

fof(c_0_927,plain,
    ! [X4,X5] :
      ( class_Orderings_Opreorder(tc_fun(X4,X5))
      | ~ class_Orderings_Opreorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_459]) ).

fof(c_0_928,plain,
    ! [X4,X5] :
      ( class_Orderings_Oorder(tc_fun(X4,X5))
      | ~ class_Orderings_Oorder(X5) ),
    inference(fof_simplification,[status(thm)],[c_0_460]) ).

fof(c_0_929,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__normed__vector(X3)
      | hAPP(c_RealVector_Onorm__class_Onorm(X3),c_HOL_Ozero__class_Ozero(X3)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(fof_simplification,[status(thm)],[c_0_461]) ).

fof(c_0_930,plain,
    ! [X3] :
      ( ~ class_RealVector_Oreal__algebra__1(X3)
      | hAPP(c_RealVector_Oof__real(X3),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X3) ),
    inference(fof_simplification,[status(thm)],[c_0_462]) ).

fof(c_0_931,axiom,
    ! [X17,X11] :
      ( c_Complex_Ocomplex_OComplex(X11,X17) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X17 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_463 ).

fof(c_0_932,axiom,
    ! [X17,X11] :
      ( c_Complex_Ocomplex_OComplex(X11,X17) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X11 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    c_0_464 ).

fof(c_0_933,axiom,
    ! [X18] :
      ( hAPP(c_Complex_Ocnj,X18) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X18 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    c_0_465 ).

fof(c_0_934,plain,
    ! [X2] :
      ( c_SEQ_Omonoseq(X2)
      | ~ c_SEQ_Oincseq(X2) ),
    inference(fof_simplification,[status(thm)],[c_0_466]) ).

fof(c_0_935,plain,
    ! [X2] :
      ( c_SEQ_Omonoseq(X2)
      | ~ c_SEQ_Odecseq(X2) ),
    inference(fof_simplification,[status(thm)],[c_0_467]) ).

fof(c_0_936,plain,
    ! [X7] :
      ( v_thesis____
      | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X7,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
      | ~ c_SEQ_Osubseq(X7) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_468])])]) ).

fof(c_0_937,plain,
    ! [X7,X8] :
      ( ~ class_SEQ_Obanach(X8)
      | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X8),c_Series_Osuminf(X7,X8)),c_Series_Osuminf(c_COMBB(c_RealVector_Onorm__class_Onorm(X8),X7,X8,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X8),X7,X8,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_469]) ).

fof(c_0_938,plain,
    ! [X32,X33,X34,X35] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X35)
      | hAPP(c_HOL_Oabs__class_Oabs(X35),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X35),X32,X35,X35,X34),X33,X34,X35)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X35),X32,X35,X35,X34),X33,X34,X35) ),
    inference(variable_rename,[status(thm)],[c_0_470]) ).

fof(c_0_939,plain,
    ! [X16,X17,X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X22)
      | ~ class_RealVector_Ometric__space(X21)
      | ~ class_RealVector_Ometric__space(X20)
      | c_Lim_OLIM(c_Fun_Ocomp(X17,X18,X22,X21,X20),X19,hAPP(X17,X16),X20,X21)
      | ~ c_Lim_OLIM(X18,X19,X16,X20,X22)
      | ~ c_Lim_OLIM(X17,X16,hAPP(X17,X16),X22,X21) ),
    inference(variable_rename,[status(thm)],[c_0_471]) ).

fof(c_0_940,plain,
    ! [X16,X17,X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X22)
      | ~ class_RealVector_Ometric__space(X21)
      | ~ class_RealVector_Ometric__space(X20)
      | c_Lim_OLIM(c_COMBB(X17,X18,X22,X21,X20),X19,hAPP(X17,X16),X20,X21)
      | ~ c_Lim_OLIM(X18,X19,X16,X20,X22)
      | ~ c_Lim_OLIM(X17,X16,hAPP(X17,X16),X22,X21) ),
    inference(variable_rename,[status(thm)],[c_0_472]) ).

fof(c_0_941,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | c_Limits_Otendsto(X16,X17,X15,X19,X18)
      | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X18),X16,X18,X18,X19),hAPP(c_HOL_Ouminus__class_Ouminus(X18),X17),X15,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_473])])]) ).

fof(c_0_942,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X16)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OLIM(X14,X15,c_HOL_Ozero__class_Ozero(X16),X17,X16)
      | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X16),X14,X16,tc_RealDef_Oreal,X17),X15,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X17,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_474])])]) ).

fof(c_0_943,plain,
    ! [X32,X33,X34,X35] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X35)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X35),c_Finite__Set_Osetsum(X32,X33,X34,X35)),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X35),X32,X35,X35,X34),X33,X34,X35),X35) ),
    inference(variable_rename,[status(thm)],[c_0_475]) ).

fof(c_0_944,plain,
    ! [X32,X33,X34,X35] :
      ( ~ class_RealVector_Oreal__normed__vector(X35)
      | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X35),c_Finite__Set_Osetsum(X32,X33,X34,X35)),c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Onorm__class_Onorm(X35),X32,X35,tc_RealDef_Oreal,X34),X33,X34,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_476]) ).

fof(c_0_945,plain,
    ! [X16,X17,X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Ometric__space(X22)
      | ~ class_RealVector_Ometric__space(X21)
      | ~ class_RealVector_Ometric__space(X20)
      | c_Lim_OLIM(c_COMBB(X17,X18,X22,X21,X20),X19,hAPP(X17,X16),X20,X21)
      | ~ c_Lim_OLIM(X18,X19,X16,X20,X22)
      | ~ c_Lim_OisCont(X17,X16,X22,X21) ),
    inference(variable_rename,[status(thm)],[c_0_477]) ).

fof(c_0_946,plain,
    ! [X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__algebra(X20)
      | ~ class_RealVector_Ometric__space(X21)
      | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X16,X20),X18,X20,X20,X21),X19,hAPP(c_HOL_Otimes__class_Otimes(X16,X20),X17),X21,X20)
      | ~ c_Lim_OLIM(X18,X19,X17,X21,X20) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_478])])]) ).

fof(c_0_947,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_RealVector_Oreal__normed__vector(X38)
      | ~ class_RealVector_Ometric__space(X39)
      | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X38),X36,X38,X38,X39),X37,hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X38),X35),X39,X38)
      | ~ c_Lim_OLIM(X36,X37,X35,X39,X38) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_479])])]) ).

fof(c_0_948,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__algebra(X19)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Otimes__class_Otimes(X15,X19),X17,X19,X19,X20),hAPP(c_HOL_Otimes__class_Otimes(X15,X19),X18),X16,X20,X19)
      | ~ c_Limits_Otendsto(X17,X18,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_480])])]) ).

fof(c_0_949,plain,
    ! [X34,X35,X36,X37,X38,X39] :
      ( ~ class_RealVector_Oreal__normed__vector(X38)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X38),X36,X38,X38,X39),hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X38),X37),X35,X39,X38)
      | ~ c_Limits_Otendsto(X36,X37,X35,X39,X38) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_481])])]) ).

fof(c_0_950,plain,
    ! [X16,X17,X18,X19,X20,X21,X22] :
      ( ~ class_RealVector_Oreal__normed__vector(X22)
      | ~ class_RealVector_Oreal__normed__vector(X21)
      | ~ class_RealVector_Ometric__space(X20)
      | c_Lim_OLIM(c_COMBB(X18,X17,X22,X21,X20),X19,hAPP(X18,X16),X20,X21)
      | ~ c_Lim_OLIM(X17,X19,X16,X20,X22)
      | ~ c_RealVector_Obounded__linear(X18,X22,X21) ),
    inference(variable_rename,[status(thm)],[c_0_482]) ).

fof(c_0_951,plain,
    ! [X15,X16,X17,X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__normed__vector(X20)
      | ~ class_RealVector_Oreal__normed__vector(X21)
      | c_Limits_Otendsto(c_COMBB(X17,X16,X21,X20,X19),hAPP(X17,X18),X15,X19,X20)
      | ~ c_Limits_Otendsto(X16,X18,X15,X19,X21)
      | ~ c_RealVector_Obounded__linear(X17,X21,X20) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_483])])]) ).

fof(c_0_952,plain,
    ! [X14,X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OLIM(c_COMBB(X15,X14,X19,X18,X17),X16,c_HOL_Ozero__class_Ozero(X18),X17,X18)
      | ~ c_Lim_OLIM(X14,X16,c_HOL_Ozero__class_Ozero(X19),X17,X19)
      | ~ c_RealVector_Obounded__linear(X15,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_484])])]) ).

fof(c_0_953,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__algebra(X17)
      | ~ class_RealVector_Ometric__space(X18)
      | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X14,X17),X15,X17,X17,X18),X16,c_HOL_Ozero__class_Ozero(X17),X18,X17)
      | ~ c_Lim_OLIM(X15,X16,c_HOL_Ozero__class_Ozero(X17),X18,X17) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_485])])]) ).

fof(c_0_954,plain,
    ! [X35,X36,X37,X38,X39] :
      ( ~ class_RealVector_Oreal__normed__algebra(X38)
      | ~ class_RealVector_Ometric__space(X39)
      | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X36,X38),X35,X38,X38,X39),X37,c_HOL_Ozero__class_Ozero(X38),X39,X38)
      | ~ c_Lim_OLIM(X35,X37,c_HOL_Ozero__class_Ozero(X38),X39,X38) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_486])])]) ).

fof(c_0_955,plain,
    ! [X35,X36,X37,X38,X39] :
      ( ~ class_RealVector_Oreal__normed__vector(X38)
      | ~ class_RealVector_Ometric__space(X39)
      | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X36,X38),X35,X38,X38,X39),X37,c_HOL_Ozero__class_Ozero(X38),X39,X38)
      | ~ c_Lim_OLIM(X35,X37,c_HOL_Ozero__class_Ozero(X38),X39,X38) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_487])])]) ).

fof(c_0_956,plain,
    ! [X34,X35,X36,X37,X38] :
      ( ~ class_RealVector_Oreal__normed__vector(X37)
      | ~ class_RealVector_Ometric__space(X38)
      | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X37),X35,X37,X37,X38),X36,c_HOL_Ozero__class_Ozero(X37),X38,X37)
      | ~ c_Lim_OLIM(X35,X36,c_HOL_Ozero__class_Ozero(X37),X38,X37) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_488])])]) ).

fof(c_0_957,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Oreal__algebra__1(X19)
      | ~ class_RealVector_Ometric__space(X20)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X19),X17,tc_RealDef_Oreal,X19,X20),X18,hAPP(c_RealVector_Oof__real(X19),X16),X20,X19)
      | ~ c_Lim_OLIM(X17,X18,X16,X20,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_489])])]) ).

fof(c_0_958,plain,
    ! [X30,X31,X32,X33,X34] :
      ( ~ class_RealVector_Oreal__normed__vector(X33)
      | ~ class_RealVector_Ometric__space(X34)
      | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X33),X30,X33,X33,X34),X31,hAPP(c_HOL_Ouminus__class_Ouminus(X33),X32),X34,X33)
      | ~ c_Lim_OLIM(X30,X31,X32,X34,X33) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_490])])]) ).

fof(c_0_959,plain,
    ! [X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Ometric__space(X20)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X19),X17,X19,tc_RealDef_Oreal,X20),X18,hAPP(c_RealVector_Onorm__class_Onorm(X19),X16),X20,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X17,X18,X16,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_491])])]) ).

fof(c_0_960,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__algebra__1(X18)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X18),X16,tc_RealDef_Oreal,X18,X19),hAPP(c_RealVector_Oof__real(X18),X17),X15,X19,X18)
      | ~ c_Limits_Otendsto(X16,X17,X15,X19,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_492])])]) ).

fof(c_0_961,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X18),X16,X18,X18,X19),hAPP(c_HOL_Ouminus__class_Ouminus(X18),X17),X15,X19,X18)
      | ~ c_Limits_Otendsto(X16,X17,X15,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_493])])]) ).

fof(c_0_962,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X18),X16,X18,tc_RealDef_Oreal,X19),hAPP(c_RealVector_Onorm__class_Onorm(X18),X17),X15,X19,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X16,X17,X15,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_494])])]) ).

fof(c_0_963,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X16)
      | ~ class_RealVector_Oreal__algebra__1(X16)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X16),X14,tc_RealDef_Oreal,X16,X17),X15,c_HOL_Ozero__class_Ozero(X16),X17,X16)
      | ~ c_Lim_OLIM(X14,X15,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X17,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_495])])]) ).

fof(c_0_964,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X16)
      | ~ class_RealVector_Ometric__space(X17)
      | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X16),X14,X16,tc_RealDef_Oreal,X17),X15,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X17,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X14,X15,c_HOL_Ozero__class_Ozero(X16),X17,X16) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_496])])]) ).

fof(c_0_965,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X17,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X19),X18,hAPP(c_Complex_Ocnj,X16),X19,tc_Complex_Ocomplex)
      | ~ c_Lim_OLIM(X17,X18,X16,X19,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_497]) ).

fof(c_0_966,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X17,tc_Complex_Ocomplex,tc_RealDef_Oreal,X19),X18,hAPP(c_Complex_OIm,X16),X19,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X17,X18,X16,X19,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_498]) ).

fof(c_0_967,plain,
    ! [X16,X17,X18,X19] :
      ( ~ class_RealVector_Ometric__space(X19)
      | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X17,tc_Complex_Ocomplex,tc_RealDef_Oreal,X19),X18,hAPP(c_Complex_ORe,X16),X19,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X17,X18,X16,X19,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_499]) ).

fof(c_0_968,plain,
    ! [X15,X16,X17,X18] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_Ocnj,X16,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X18),hAPP(c_Complex_Ocnj,X17),X15,X18,tc_Complex_Ocomplex)
      | ~ c_Limits_Otendsto(X16,X17,X15,X18,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_500]) ).

fof(c_0_969,plain,
    ! [X15,X16,X17,X18] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X16,tc_Complex_Ocomplex,tc_RealDef_Oreal,X18),hAPP(c_Complex_OIm,X17),X15,X18,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X16,X17,X15,X18,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_501]) ).

fof(c_0_970,plain,
    ! [X15,X16,X17,X18] :
      ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X16,tc_Complex_Ocomplex,tc_RealDef_Oreal,X18),hAPP(c_Complex_ORe,X17),X15,X18,tc_RealDef_Oreal)
      | ~ c_Limits_Otendsto(X16,X17,X15,X18,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_502]) ).

fof(c_0_971,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X12,tc_Complex_Ocomplex,tc_RealDef_Oreal,X14),X13,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X14,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X12,X13,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X14,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_503]) ).

fof(c_0_972,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X12,tc_Complex_Ocomplex,tc_RealDef_Oreal,X14),X13,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X14,tc_RealDef_Oreal)
      | ~ c_Lim_OLIM(X12,X13,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X14,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_504]) ).

fof(c_0_973,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Ometric__space(X14)
      | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X12,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X14),X13,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X14,tc_Complex_Ocomplex)
      | ~ c_Lim_OLIM(X12,X13,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X14,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_505]) ).

fof(c_0_974,plain,
    ! [X32,X33,X34,X35] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X35)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X35),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X35),X32,X35,X35,X34),X33,X34,X35),X35) ),
    inference(variable_rename,[status(thm)],[c_0_506]) ).

fof(c_0_975,plain,
    ! [X55,X56,X57,X58,X59,X60,X61,X62,X63,X64,X65] :
      ( hAPP(X60,hAPP(X58,X56)) != hAPP(X59,hAPP(X57,X55))
      | hAPP(c_Fun_Ocomp(X60,X58,X64,X65,X63),X56) = hAPP(c_Fun_Ocomp(X59,X57,X62,X65,X61),X55) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_507])])]) ).

fof(c_0_976,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_SEQ_Obanach(X14)
      | c_Series_Osummable(X13,X14)
      | ~ c_Series_Osummable(X12,tc_RealDef_Oreal)
      | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X14),hAPP(X13,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X13,X12,X11,X14))),hAPP(X12,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X13,X12,X11,X14)),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_508]) ).

fof(c_0_977,plain,
    ! [X33,X34,X35,X36,X37,X38] :
      ( ~ class_RealVector_Ometric__space(X37)
      | ~ class_RealVector_Ometric__space(X38)
      | c_SEQ_OLIMSEQ(c_COMBB(X34,X35,X38,X37,tc_nat),X36,X37)
      | ~ c_SEQ_OLIMSEQ(X35,X33,X38)
      | hAPP(X35,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X35,X33,X38)) = X33
      | ~ c_Lim_OLIM(X34,X33,X36,X38,X37) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_509])])]) ).

fof(c_0_978,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Limits_OZfun(X16,X15,X18,X17)
      | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X17),X16,X17,tc_RealDef_Oreal,X18),X15,X18,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_510])])]) ).

fof(c_0_979,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OLIMSEQ(X13,X12,X14)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X13,X14,X14,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X12),X14) ),
    inference(variable_rename,[status(thm)],[c_0_511]) ).

fof(c_0_980,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OLIMSEQ(X4,c_HOL_Ozero__class_Ozero(X5),X5)
      | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X4,X5,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_512]) ).

fof(c_0_981,plain,
    ! [X51,X52,X53,X54,X55,X56,X57,X58,X59] :
      ( c_Fun_Ocomp(X55,X54,X57,X58,X59) != c_Fun_Ocomp(X53,X52,X56,X58,X59)
      | hAPP(X55,hAPP(X54,X51)) = hAPP(X53,hAPP(X52,X51)) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_513])])]) ).

fof(c_0_982,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OZseq(X4,X5)
      | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X4,X5,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_514]) ).

fof(c_0_983,plain,
    ! [X7,X8] :
      ( ~ class_SEQ_Obanach(X8)
      | c_Series_Osummable(X7,X8)
      | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X8),X7,X8,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_515]) ).

fof(c_0_984,plain,
    ! [X30,X31,X32,X33,X34,X35] :
      ( ~ class_RealVector_Ometric__space(X34)
      | ~ class_RealVector_Oreal__normed__algebra__1(X35)
      | X33 = X32
      | ~ c_Lim_OLIM(X30,X31,X32,X35,X34)
      | ~ c_Lim_OLIM(X30,X31,X33,X35,X34) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_516])])]) ).

fof(c_0_985,plain,
    ! [X3] :
      ( c_SEQ_Odecseq(X3)
      | ~ c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X3,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat)) ),
    inference(variable_rename,[status(thm)],[c_0_517]) ).

fof(c_0_986,plain,
    ! [X14,X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Ometric__space(X19)
      | ~ class_RealVector_Ometric__space(X17)
      | ~ class_RealVector_Ometric__space(X18)
      | c_Lim_OisCont(c_Fun_Ocomp(X14,X15,X18,X17,X19),X16,X19,X17)
      | ~ c_Lim_OisCont(X14,hAPP(X15,X16),X18,X17)
      | ~ c_Lim_OisCont(X15,X16,X19,X18) ),
    inference(variable_rename,[status(thm)],[c_0_518]) ).

fof(c_0_987,plain,
    ! [X14,X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Ometric__space(X19)
      | ~ class_RealVector_Ometric__space(X17)
      | ~ class_RealVector_Ometric__space(X18)
      | c_Lim_OisCont(c_COMBB(X14,X15,X18,X17,X19),X16,X19,X17)
      | ~ c_Lim_OisCont(X14,hAPP(X15,X16),X18,X17)
      | ~ c_Lim_OisCont(X15,X16,X19,X18) ),
    inference(variable_rename,[status(thm)],[c_0_519]) ).

fof(c_0_988,plain,
    ! [X32,X33,X34,X35,X36] :
      ( ~ class_RealVector_Oreal__vector(X36)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X33,X36),c_Finite__Set_Osetsum(X32,X34,X35,X36)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X33,X36),X32,X36,X36,X35),X34,X35,X36) ),
    inference(variable_rename,[status(thm)],[c_0_520]) ).

fof(c_0_989,plain,
    ! [X32,X33,X34,X35,X36] :
      ( ~ class_RealVector_Oreal__normed__algebra(X36)
      | hAPP(c_HOL_Otimes__class_Otimes(X32,X36),c_Finite__Set_Osetsum(X33,X34,X35,X36)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X32,X36),X33,X36,X36,X35),X34,X35,X36) ),
    inference(variable_rename,[status(thm)],[c_0_521]) ).

fof(c_0_990,plain,
    ! [X34,X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Osemiring__0(X38)
      | hAPP(c_HOL_Otimes__class_Otimes(X34,X38),c_Finite__Set_Osetsum(X35,X36,X37,X38)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X34,X38),X35,X38,X38,X37),X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_522]) ).

fof(c_0_991,plain,
    ! [X32,X33,X34,X35] :
      ( ~ class_RealVector_Oreal__normed__vector(X35)
      | ~ class_RealVector_Oreal__algebra__1(X35)
      | hAPP(c_RealVector_Oof__real(X35),c_Finite__Set_Osetsum(X32,X33,X34,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X35),X32,tc_RealDef_Oreal,X35,X34),X33,X34,X35) ),
    inference(variable_rename,[status(thm)],[c_0_523]) ).

fof(c_0_992,plain,
    ! [X32,X33,X34,X35] :
      ( ~ class_OrderedGroup_Oab__group__add(X35)
      | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X35),X32,X35,X35,X34),X33,X34,X35) = hAPP(c_HOL_Ouminus__class_Ouminus(X35),c_Finite__Set_Osetsum(X32,X33,X34,X35)) ),
    inference(variable_rename,[status(thm)],[c_0_524]) ).

fof(c_0_993,plain,
    ! [X15,X16,X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | ~ class_RealVector_Oreal__normed__vector(X20)
      | c_Limits_OZfun(c_COMBB(X17,X16,X20,X19,X18),X15,X18,X19)
      | ~ c_Limits_OZfun(X16,X15,X18,X20)
      | ~ c_RealVector_Obounded__linear(X17,X20,X19) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_525])])]) ).

fof(c_0_994,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__algebra(X18)
      | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X15,X18),X17,X18,X18,X19),X16,X19,X18)
      | ~ c_Limits_OZfun(X17,X16,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_526])])]) ).

fof(c_0_995,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__algebra(X18)
      | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X17,X18),X16,X18,X18,X19),X15,X19,X18)
      | ~ c_Limits_OZfun(X16,X15,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_527])])]) ).

fof(c_0_996,plain,
    ! [X34,X35,X36,X37,X38] :
      ( ~ class_RealVector_Oreal__normed__vector(X37)
      | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X37),X36,X37,X37,X38),X35,X38,X37)
      | ~ c_Limits_OZfun(X36,X35,X38,X37) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_528])])]) ).

fof(c_0_997,plain,
    ! [X15,X16,X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X17,X18),X16,X18,X18,X19),X15,X19,X18)
      | ~ c_Limits_OZfun(X16,X15,X19,X18) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_529])])]) ).

fof(c_0_998,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Ometric__space(X17)
      | ~ class_RealVector_Oreal__normed__vector(X16)
      | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X16),X14,X16,X16,X17),X15,X17,X16)
      | ~ c_Lim_OisCont(X14,X15,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_530]) ).

fof(c_0_999,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Ometric__space(X17)
      | ~ class_RealVector_Oreal__normed__vector(X16)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X16),X14,X16,tc_RealDef_Oreal,X17),X15,X17,tc_RealDef_Oreal)
      | ~ c_Lim_OisCont(X14,X15,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_531]) ).

fof(c_0_1000,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Oreal__algebra__1(X17)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X17),X16,tc_RealDef_Oreal,X17,X18),X15,X18,X17)
      | ~ c_Limits_OZfun(X16,X15,X18,tc_RealDef_Oreal) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_532])])]) ).

fof(c_0_1001,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Ometric__space(X17)
      | ~ class_RealVector_Oreal__normed__algebra__1(X16)
      | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X16),X14,tc_RealDef_Oreal,X16,X17),X15,X17,X16)
      | ~ c_Lim_OisCont(X14,X15,X17,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_533]) ).

fof(c_0_1002,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X17),X16,X17,X17,X18),X15,X18,X17)
      | ~ c_Limits_OZfun(X16,X15,X18,X17) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_534])])]) ).

fof(c_0_1003,plain,
    ! [X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X17),X16,X17,tc_RealDef_Oreal,X18),X15,X18,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X16,X15,X18,X17) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_535])])]) ).

fof(c_0_1004,plain,
    ! [X15,X16,X17] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_Ocnj,X16,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X17),X15,X17,tc_Complex_Ocomplex)
      | ~ c_Limits_OZfun(X16,X15,X17,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_536]) ).

fof(c_0_1005,plain,
    ! [X15,X16,X17] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X16,tc_Complex_Ocomplex,tc_RealDef_Oreal,X17),X15,X17,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X16,X15,X17,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_537]) ).

fof(c_0_1006,plain,
    ! [X15,X16,X17] :
      ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X16,tc_Complex_Ocomplex,tc_RealDef_Oreal,X17),X15,X17,tc_RealDef_Oreal)
      | ~ c_Limits_OZfun(X16,X15,X17,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_538]) ).

fof(c_0_1007,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__field(X14)
      | c_Deriv_Odifferentiable(c_COMBB(X13,X12,X14,X14,X14),X11,X14)
      | ~ c_Deriv_Odifferentiable(X12,X11,X14)
      | ~ c_Deriv_Odifferentiable(X13,hAPP(X12,X11),X14) ),
    inference(variable_rename,[status(thm)],[c_0_539]) ).

fof(c_0_1008,plain,
    ! [X34,X35,X36,X37] :
      ( ~ class_RealVector_Oreal__normed__vector(X37)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X37),X36,X37,X37,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X37),X35),X37)
      | ~ c_SEQ_OLIMSEQ(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_540]) ).

fof(c_0_1009,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Otimes__class_Otimes(X12,X15),X14,X15,X15,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X12,X15),X13),X15)
      | ~ c_SEQ_OLIMSEQ(X14,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_541]) ).

fof(c_0_1010,plain,
    ! [X34,X35,X36,X37] :
      ( ~ class_RealVector_Oreal__normed__vector(X37)
      | c_Series_Osums(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X37),X36,X37,X37,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X37),X35),X37)
      | ~ c_Series_Osums(X36,X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_542]) ).

fof(c_0_1011,plain,
    ! [X12,X13,X14,X15] :
      ( ~ class_RealVector_Oreal__normed__algebra(X15)
      | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X12,X15),X14,X15,X15,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X12,X15),X13),X15)
      | ~ c_Series_Osums(X14,X13,X15) ),
    inference(variable_rename,[status(thm)],[c_0_543]) ).

fof(c_0_1012,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_RealVector_Oreal__normed__algebra(X38)
      | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X36,X38),X35,X38,X38,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X37),X38)
      | ~ c_Series_Osums(X35,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_544]) ).

fof(c_0_1013,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | c_SEQ_OLIMSEQ(c_COMBB(X14,X16,X18,X17,tc_nat),hAPP(X14,X15),X17)
      | ~ c_SEQ_OLIMSEQ(X16,X15,X18)
      | ~ c_RealVector_Obounded__linear(X14,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_545]) ).

fof(c_0_1014,plain,
    ! [X14,X15,X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | ~ class_RealVector_Oreal__normed__vector(X17)
      | c_Series_Osums(c_COMBB(X14,X16,X18,X17,tc_nat),hAPP(X14,X15),X17)
      | ~ c_Series_Osums(X16,X15,X18)
      | ~ c_RealVector_Obounded__linear(X14,X18,X17) ),
    inference(variable_rename,[status(thm)],[c_0_546]) ).

fof(c_0_1015,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X14),X13,tc_RealDef_Oreal,X14,tc_nat),hAPP(c_RealVector_Oof__real(X14),X12),X14)
      | ~ c_Series_Osums(X13,X12,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_547]) ).

fof(c_0_1016,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | ~ class_RealVector_Oreal__algebra__1(X14)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X14),X13,tc_RealDef_Oreal,X14,tc_nat),hAPP(c_RealVector_Oof__real(X14),X12),X14)
      | ~ c_SEQ_OLIMSEQ(X13,X12,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_548]) ).

fof(c_0_1017,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X13,X14,X14,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X12),X14)
      | ~ c_Series_Osums(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_549]) ).

fof(c_0_1018,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X14),X13,X14,X14,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X12),X14)
      | ~ c_SEQ_OLIMSEQ(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_550]) ).

fof(c_0_1019,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X14),X13,X14,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X14),X12),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_551]) ).

fof(c_0_1020,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Oreal__normed__vector(X16)
      | hAPP(X14,c_Series_Osuminf(X15,X17)) = c_Series_Osuminf(c_COMBB(X14,X15,X17,X16,tc_nat),X16)
      | ~ c_Series_Osummable(X15,X17)
      | ~ c_RealVector_Obounded__linear(X14,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_552]) ).

fof(c_0_1021,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X4,X5,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X4,c_HOL_Ozero__class_Ozero(X5),X5) ),
    inference(variable_rename,[status(thm)],[c_0_553]) ).

fof(c_0_1022,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__field(X12)
      | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X12),X11,X12,X12,X12),X10,X12)
      | ~ c_Deriv_Odifferentiable(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_554]) ).

fof(c_0_1023,plain,
    ! [X35,X36,X37] :
      ( ~ class_RealVector_Oreal__normed__algebra(X37)
      | c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X36,X37),X35,X37,X37,tc_nat),X37) = hAPP(c_HOL_Otimes__class_Otimes(X36,X37),c_Series_Osuminf(X35,X37))
      | ~ c_Series_Osummable(X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_555]) ).

fof(c_0_1024,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__algebra(X12)
      | hAPP(c_HOL_Otimes__class_Otimes(X10,X12),c_Series_Osuminf(X11,X12)) = c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X10,X12),X11,X12,X12,tc_nat),X12)
      | ~ c_Series_Osummable(X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_556]) ).

fof(c_0_1025,plain,
    ! [X34,X35,X36] :
      ( ~ class_RealVector_Oreal__normed__vector(X36)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X36),c_Series_Osuminf(X35,X36)) = c_Series_Osuminf(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X36),X35,X36,X36,tc_nat),X36)
      | ~ c_Series_Osummable(X35,X36) ),
    inference(variable_rename,[status(thm)],[c_0_557]) ).

fof(c_0_1026,plain,
    ! [X30,X31,X32,X33] :
      ( ~ class_RealVector_Ometric__space(X33)
      | c_SEQ_OLIMSEQ(c_Fun_Ocomp(X31,X30,tc_nat,X33,tc_nat),X32,X33)
      | ~ c_SEQ_Osubseq(X30)
      | ~ c_SEQ_OLIMSEQ(X31,X32,X33) ),
    inference(variable_rename,[status(thm)],[c_0_558]) ).

fof(c_0_1027,plain,
    ! [X12,X13] :
      ( c_Series_Osums(c_COMBB(c_Complex_Ocnj,X13,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X12),tc_Complex_Ocomplex)
      | ~ c_Series_Osums(X13,X12,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_559]) ).

fof(c_0_1028,plain,
    ! [X12,X13] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_Ocnj,X13,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X12),tc_Complex_Ocomplex)
      | ~ c_SEQ_OLIMSEQ(X13,X12,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_560]) ).

fof(c_0_1029,plain,
    ! [X12,X13] :
      ( c_Series_Osums(c_COMBB(c_Complex_OIm,X13,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X12),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X13,X12,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_561]) ).

fof(c_0_1030,plain,
    ! [X12,X13] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X13,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X12),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X13,X12,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_562]) ).

fof(c_0_1031,plain,
    ! [X12,X13] :
      ( c_Series_Osums(c_COMBB(c_Complex_ORe,X13,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X12),tc_RealDef_Oreal)
      | ~ c_Series_Osums(X13,X12,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_563]) ).

fof(c_0_1032,plain,
    ! [X12,X13] :
      ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X13,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X12),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X13,X12,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_564]) ).

fof(c_0_1033,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Oreal__normed__vector(X16)
      | c_Series_Osummable(c_COMBB(X14,X15,X17,X16,tc_nat),X16)
      | ~ c_Series_Osummable(X15,X17)
      | ~ c_RealVector_Obounded__linear(X14,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_565]) ).

fof(c_0_1034,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Oreal__normed__vector(X16)
      | c_SEQ_OZseq(c_COMBB(X14,X15,X17,X16,tc_nat),X16)
      | ~ c_SEQ_OZseq(X15,X17)
      | ~ c_RealVector_Obounded__linear(X14,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_566]) ).

fof(c_0_1035,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Oreal__normed__vector(X16)
      | c_SEQ_OCauchy(c_COMBB(X14,X15,X17,X16,tc_nat),X16)
      | ~ c_SEQ_OCauchy(X15,X17)
      | ~ c_RealVector_Obounded__linear(X14,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_567]) ).

fof(c_0_1036,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Ometric__space(X17)
      | ~ class_RealVector_Ometric__space(X16)
      | c_SEQ_OCauchy(c_COMBB(X14,X15,X17,X16,tc_nat),X16)
      | ~ c_SEQ_OCauchy(X15,X17)
      | ~ c_Lim_OisUCont(X14,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_568]) ).

fof(c_0_1037,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X4,X5,X5,tc_nat),X5) = hAPP(c_HOL_Ouminus__class_Ouminus(X5),c_Series_Osuminf(X4,X5))
      | ~ c_Series_Osummable(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_569]) ).

fof(c_0_1038,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ class_RealVector_Oreal__algebra__1(X5)
      | hAPP(c_RealVector_Oof__real(X5),c_Series_Osuminf(X4,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X5),X4,tc_RealDef_Oreal,X5,tc_nat),X5)
      | ~ c_Series_Osummable(X4,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_570]) ).

fof(c_0_1039,plain,
    ! [X34,X35,X36] :
      ( ~ class_RealVector_Oreal__normed__vector(X36)
      | c_Series_Osummable(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X36),X35,X36,X36,tc_nat),X36)
      | ~ c_Series_Osummable(X35,X36) ),
    inference(variable_rename,[status(thm)],[c_0_571]) ).

fof(c_0_1040,plain,
    ! [X35,X36,X37] :
      ( ~ class_RealVector_Oreal__normed__algebra(X37)
      | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X36,X37),X35,X37,X37,tc_nat),X37)
      | ~ c_Series_Osummable(X35,X37) ),
    inference(variable_rename,[status(thm)],[c_0_572]) ).

fof(c_0_1041,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__algebra(X12)
      | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X10,X12),X11,X12,X12,tc_nat),X12)
      | ~ c_Series_Osummable(X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_573]) ).

fof(c_0_1042,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__algebra(X12)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X10,X12),X11,X12,X12,tc_nat),X12)
      | ~ c_SEQ_OZseq(X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_574]) ).

fof(c_0_1043,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X12,X14),X13,X14,X14,tc_nat),X14)
      | ~ c_SEQ_OZseq(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_575]) ).

fof(c_0_1044,plain,
    ! [X34,X35,X36] :
      ( ~ class_RealVector_Oreal__normed__vector(X36)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X36),X35,X36,X36,tc_nat),X36)
      | ~ c_SEQ_OZseq(X35,X36) ),
    inference(variable_rename,[status(thm)],[c_0_576]) ).

fof(c_0_1045,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__vector(X14)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X12,X14),X13,X14,X14,tc_nat),X14)
      | ~ c_SEQ_OZseq(X13,X14) ),
    inference(variable_rename,[status(thm)],[c_0_577]) ).

fof(c_0_1046,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__algebra(X12)
      | c_SEQ_OCauchy(c_COMBB(c_HOL_Otimes__class_Otimes(X10,X12),X11,X12,X12,tc_nat),X12)
      | ~ c_SEQ_OCauchy(X11,X12) ),
    inference(variable_rename,[status(thm)],[c_0_578]) ).

fof(c_0_1047,plain,
    ! [X34,X35,X36] :
      ( ~ class_RealVector_Oreal__normed__vector(X36)
      | c_SEQ_OCauchy(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X34,X36),X35,X36,X36,tc_nat),X36)
      | ~ c_SEQ_OCauchy(X35,X36) ),
    inference(variable_rename,[status(thm)],[c_0_579]) ).

fof(c_0_1048,plain,
    ! [X3] :
      ( hAPP(c_Complex_Ocnj,c_Series_Osuminf(X3,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_Ocnj,X3,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_580]) ).

fof(c_0_1049,plain,
    ! [X3] :
      ( hAPP(c_Complex_OIm,c_Series_Osuminf(X3,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_581]) ).

fof(c_0_1050,plain,
    ! [X3] :
      ( hAPP(c_Complex_ORe,c_Series_Osuminf(X3,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_582]) ).

fof(c_0_1051,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ class_RealVector_Oreal__algebra__1(X5)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X5),X4,tc_RealDef_Oreal,X5,tc_nat),X5)
      | ~ c_SEQ_OZseq(X4,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_583]) ).

fof(c_0_1052,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ class_RealVector_Oreal__algebra__1(X5)
      | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X5),X4,tc_RealDef_Oreal,X5,tc_nat),X5)
      | ~ c_Series_Osummable(X4,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_584]) ).

fof(c_0_1053,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | ~ class_RealVector_Oreal__algebra__1(X5)
      | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X5),X4,tc_RealDef_Oreal,X5,tc_nat),X5)
      | ~ c_SEQ_OCauchy(X4,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_585]) ).

fof(c_0_1054,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X4,X5,X5,tc_nat),X5)
      | ~ c_SEQ_OZseq(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_586]) ).

fof(c_0_1055,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X4,X5,X5,tc_nat),X5)
      | ~ c_Series_Osummable(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_587]) ).

fof(c_0_1056,plain,
    ! [X4,X5] :
      ( ~ class_RealVector_Oreal__normed__vector(X5)
      | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X4,X5,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X4,X5) ),
    inference(variable_rename,[status(thm)],[c_0_588]) ).

fof(c_0_1057,plain,
    ! [X7,X8,X9] :
      ( ~ class_RealVector_Ometric__space(X9)
      | c_SEQ_OCauchy(c_Fun_Ocomp(X8,X7,tc_nat,X9,tc_nat),X9)
      | ~ c_SEQ_Osubseq(X7)
      | ~ c_SEQ_OCauchy(X8,X9) ),
    inference(variable_rename,[status(thm)],[c_0_589]) ).

fof(c_0_1058,plain,
    ! [X3] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_Ocnj,X3,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_SEQ_OCauchy(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_590]) ).

fof(c_0_1059,plain,
    ! [X3] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_Ocnj,X3,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_SEQ_OZseq(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_591]) ).

fof(c_0_1060,plain,
    ! [X3] :
      ( c_Series_Osummable(c_COMBB(c_Complex_Ocnj,X3,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_592]) ).

fof(c_0_1061,plain,
    ! [X3] :
      ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_593]) ).

fof(c_0_1062,plain,
    ! [X3] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_594]) ).

fof(c_0_1063,plain,
    ! [X3] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_595]) ).

fof(c_0_1064,plain,
    ! [X3] :
      ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OZseq(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_596]) ).

fof(c_0_1065,plain,
    ! [X3] :
      ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_SEQ_OCauchy(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_597]) ).

fof(c_0_1066,plain,
    ! [X3] :
      ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X3,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
      | ~ c_Series_Osummable(X3,tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_598]) ).

fof(c_0_1067,plain,
    ! [X12] :
      ( c_SEQ_Omonoseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X12,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
      | ~ c_SEQ_Omonoseq(X12) ),
    inference(variable_rename,[status(thm)],[c_0_599]) ).

fof(c_0_1068,plain,
    ! [X3] :
      ( c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X3,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
      | ~ c_SEQ_Odecseq(X3) ),
    inference(variable_rename,[status(thm)],[c_0_600]) ).

fof(c_0_1069,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Ometric__space(X17)
      | ~ class_RealVector_Ometric__space(X16)
      | c_Lim_OisCont(X14,X15,X17,X16)
      | ~ c_Lim_OLIM(X14,X15,hAPP(X14,X15),X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_601]) ).

fof(c_0_1070,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Ometric__space(X17)
      | ~ class_RealVector_Ometric__space(X16)
      | c_Lim_OLIM(X14,X15,hAPP(X14,X15),X17,X16)
      | ~ c_Lim_OisCont(X14,X15,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_602]) ).

fof(c_0_1071,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Oreal__normed__vector(X16)
      | c_Lim_OLIM(X14,X15,hAPP(X14,X15),X17,X16)
      | ~ c_RealVector_Obounded__linear(X14,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_603]) ).

fof(c_0_1072,plain,
    ! [X34,X35,X36] :
      ( ~ class_RealVector_Oreal__normed__vector(X36)
      | c_Lim_OLIM(c_RealVector_OscaleR__class_OscaleR(X34,X36),X35,hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X36),X35),X36,X36) ),
    inference(variable_rename,[status(thm)],[c_0_604]) ).

fof(c_0_1073,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Lim_OLIM(c_HOL_Otimes__class_Otimes(X12,X14),X13,hAPP(c_HOL_Otimes__class_Otimes(X12,X14),X13),X14,X14) ),
    inference(variable_rename,[status(thm)],[c_0_605]) ).

fof(c_0_1074,plain,
    ! [X44,X45,X46,X47,X48] :
      ( ~ class_Ring__and__Field_Oordered__idom(X48)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X48),X47),X48),hAPP(c_HOL_Oabs__class_Oabs(X48),X46)),hAPP(c_HOL_Otimes__class_Otimes(X45,X48),X44),X48)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X48),X46),X44,X48)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X48),X47),X45,X48) ),
    inference(variable_rename,[status(thm)],[c_0_606]) ).

fof(c_0_1075,plain,
    ! [X48,X49,X50,X51,X52] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X52)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X51,X52),X50),X52),hAPP(c_HOL_Otimes__class_Otimes(X49,X52),X48)) = hAPP(c_HOL_Otimes__class_Otimes(X49,X52),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X51,X52),X50),X52),X48)) ),
    inference(variable_rename,[status(thm)],[c_0_607]) ).

fof(c_0_1076,plain,
    ! [X11,X12,X13,X14] :
      ( ~ class_SEQ_Obanach(X14)
      | c_Series_Osummable(X13,X14)
      | ~ c_Series_Osummable(X12,tc_RealDef_Oreal)
      | c_lessequals(X11,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X13,X12,X11,X14),tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_608]) ).

fof(c_0_1077,plain,
    ! [X44,X45,X46,X47,X48] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X48)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X47,X48),X45),hAPP(c_HOL_Otimes__class_Otimes(X46,X48),X44),X48)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X45,X48)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X47,X48)
      | ~ c_HOL_Oord__class_Oless(X45,X44,X48)
      | ~ c_HOL_Oord__class_Oless(X47,X46,X48) ),
    inference(variable_rename,[status(thm)],[c_0_609]) ).

fof(c_0_1078,plain,
    ! [X44,X45,X46,X47,X48] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X48)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X47,X48),X45),hAPP(c_HOL_Otimes__class_Otimes(X46,X48),X44),X48)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X45,X48)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X46,X48)
      | ~ c_lessequals(X45,X44,X48)
      | ~ c_lessequals(X47,X46,X48) ),
    inference(variable_rename,[status(thm)],[c_0_610]) ).

fof(c_0_1079,plain,
    ! [X44,X45,X46,X47,X48] :
      ( ~ class_Ring__and__Field_Opordered__semiring(X48)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X47,X48),X45),hAPP(c_HOL_Otimes__class_Otimes(X46,X48),X44),X48)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X45,X48)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X47,X48)
      | ~ c_lessequals(X45,X44,X48)
      | ~ c_lessequals(X47,X46,X48) ),
    inference(variable_rename,[status(thm)],[c_0_611]) ).

fof(c_0_1080,plain,
    ! [X44,X45,X46,X47,X48] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X48)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X47,X48),X45),hAPP(c_HOL_Otimes__class_Otimes(X46,X48),X44),X48)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X45,X48)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X48),X46,X48)
      | ~ c_HOL_Oord__class_Oless(X45,X44,X48)
      | ~ c_HOL_Oord__class_Oless(X47,X46,X48) ),
    inference(variable_rename,[status(thm)],[c_0_612]) ).

fof(c_0_1081,plain,
    ! [X44,X45,X46,X47,X48] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X48)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X47,X48),X45),hAPP(c_HOL_Otimes__class_Otimes(X46,X48),X44),X48)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X45,X48)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X48),X47,X48)
      | ~ c_HOL_Oord__class_Oless(X45,X44,X48)
      | ~ c_lessequals(X47,X46,X48) ),
    inference(variable_rename,[status(thm)],[c_0_613]) ).

fof(c_0_1082,plain,
    ! [X44,X45,X46,X47,X48] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X48)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X47,X48),X45),hAPP(c_HOL_Otimes__class_Otimes(X46,X48),X44),X48)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X48),X45,X48)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X48),X47,X48)
      | ~ c_lessequals(X45,X44,X48)
      | ~ c_HOL_Oord__class_Oless(X47,X46,X48) ),
    inference(variable_rename,[status(thm)],[c_0_614]) ).

fof(c_0_1083,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Olordered__ring(X20)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X20),hAPP(c_HOL_Oabs__class_Oabs(X20),X18)),X20) ),
    inference(variable_rename,[status(thm)],[c_0_615]) ).

fof(c_0_1084,plain,
    ! [X48,X49,X50,X51,X52] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X52)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X51,X52),X50),X52),hAPP(c_HOL_Otimes__class_Otimes(X49,X52),X48)) = hAPP(c_HOL_Otimes__class_Otimes(X51,X52),hAPP(c_HOL_Otimes__class_Otimes(X50,X52),hAPP(c_HOL_Otimes__class_Otimes(X49,X52),X48))) ),
    inference(variable_rename,[status(thm)],[c_0_616]) ).

fof(c_0_1085,plain,
    ! [X48,X49,X50,X51,X52] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X52)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X51,X52),X50),X52),hAPP(c_HOL_Otimes__class_Otimes(X49,X52),X48)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X51,X52),X49),X52),hAPP(c_HOL_Otimes__class_Otimes(X50,X52),X48)) ),
    inference(variable_rename,[status(thm)],[c_0_617]) ).

fof(c_0_1086,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X38)
      | c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38) ),
    inference(variable_rename,[status(thm)],[c_0_618]) ).

fof(c_0_1087,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X38)
      | c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38) ),
    inference(variable_rename,[status(thm)],[c_0_619]) ).

fof(c_0_1088,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X38)
      | c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38) ),
    inference(variable_rename,[status(thm)],[c_0_620]) ).

fof(c_0_1089,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__semiring(X38)
      | c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38) ),
    inference(variable_rename,[status(thm)],[c_0_621]) ).

fof(c_0_1090,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X38)
      | c_lessequals(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38) ),
    inference(variable_rename,[status(thm)],[c_0_622]) ).

fof(c_0_1091,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X38)
      | c_lessequals(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38) ),
    inference(variable_rename,[status(thm)],[c_0_623]) ).

fof(c_0_1092,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_lessequals(X37,X36,X38)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_624]) ).

fof(c_0_1093,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_lessequals(X36,X37,X38)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_625]) ).

fof(c_0_1094,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_626]) ).

fof(c_0_1095,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X36,X37,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_627]) ).

fof(c_0_1096,plain,
    ! [X41,X42,X43,X44,X45,X46] :
      ( c_lessequals(hAPP(X46,X42),hAPP(X46,X44),tc_RealDef_Oreal)
      | ~ c_lessequals(X44,X42,tc_nat)
      | c_lessequals(hAPP(X46,X45),hAPP(X46,X43),tc_RealDef_Oreal)
      | ~ c_lessequals(X45,X43,tc_nat)
      | ~ c_SEQ_OLIMSEQ(X46,X41,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X46) ),
    inference(variable_rename,[status(thm)],[c_0_628]) ).

fof(c_0_1097,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38) ),
    inference(variable_rename,[status(thm)],[c_0_629]) ).

fof(c_0_1098,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38) ),
    inference(variable_rename,[status(thm)],[c_0_630]) ).

fof(c_0_1099,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X36,X37,X38)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38) ),
    inference(variable_rename,[status(thm)],[c_0_631]) ).

fof(c_0_1100,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38)
      | c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38) ),
    inference(variable_rename,[status(thm)],[c_0_632]) ).

fof(c_0_1101,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X36,X37,X38)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38) ),
    inference(variable_rename,[status(thm)],[c_0_633]) ).

fof(c_0_1102,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38)
      | c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38) ),
    inference(variable_rename,[status(thm)],[c_0_634]) ).

fof(c_0_1103,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X20)
      | hAPP(c_HOL_Oabs__class_Oabs(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X20),hAPP(c_HOL_Oabs__class_Oabs(X20),X18))
      | ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_635]) ).

fof(c_0_1104,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X20)
      | hAPP(c_HOL_Oabs__class_Oabs(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X20),hAPP(c_HOL_Oabs__class_Oabs(X20),X18))
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_636]) ).

fof(c_0_1105,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X20)
      | hAPP(c_HOL_Oabs__class_Oabs(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X20),hAPP(c_HOL_Oabs__class_Oabs(X20),X18))
      | ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_637]) ).

fof(c_0_1106,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__ring__abs(X20)
      | hAPP(c_HOL_Oabs__class_Oabs(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X20),hAPP(c_HOL_Oabs__class_Oabs(X20),X18))
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_638]) ).

fof(c_0_1107,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X36,X37,X38)
      | c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38) ),
    inference(variable_rename,[status(thm)],[c_0_639]) ).

fof(c_0_1108,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(X36,X37,X38)
      | c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38) ),
    inference(variable_rename,[status(thm)],[c_0_640]) ).

fof(c_0_1109,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Omult__mono1(X38)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_lessequals(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_641]) ).

fof(c_0_1110,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Omult__mono(X38)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_lessequals(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_642]) ).

fof(c_0_1111,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Omult__mono(X38)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_lessequals(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_643]) ).

fof(c_0_1112,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Opordered__ring(X38)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_lessequals(X35,c_HOL_Ozero__class_Ozero(X38),X38)
      | ~ c_lessequals(X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_644]) ).

fof(c_0_1113,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Opordered__ring(X38)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38)
      | ~ c_lessequals(X35,c_HOL_Ozero__class_Ozero(X38),X38)
      | ~ c_lessequals(X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_645]) ).

fof(c_0_1114,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_lessequals(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_646]) ).

fof(c_0_1115,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_lessequals(X36,X37,X38)
      | ~ c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_647]) ).

fof(c_0_1116,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_648]) ).

fof(c_0_1117,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38)
      | ~ c_HOL_Oord__class_Oless(X36,X37,X38)
      | ~ c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_649]) ).

fof(c_0_1118,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38)
      | ~ c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_650]) ).

fof(c_0_1119,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_651]) ).

fof(c_0_1120,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X35),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35),X38)
      | ~ c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38)
      | ~ c_HOL_Oord__class_Oless(X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_652]) ).

fof(c_0_1121,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(X36,X37,X38)
      | ~ c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_653]) ).

fof(c_0_1122,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_654]) ).

fof(c_0_1123,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38)
      | ~ c_HOL_Oord__class_Oless(X37,X36,X38) ),
    inference(variable_rename,[status(thm)],[c_0_655]) ).

fof(c_0_1124,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38)
      | ~ c_HOL_Oord__class_Oless(X36,X37,X38) ),
    inference(variable_rename,[status(thm)],[c_0_656]) ).

fof(c_0_1125,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(X37,X36,X38)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X38),X35,X38) ),
    inference(variable_rename,[status(thm)],[c_0_657]) ).

fof(c_0_1126,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X38)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X38),X36),X38)
      | ~ c_HOL_Oord__class_Oless(X36,X37,X38)
      | ~ c_HOL_Oord__class_Oless(X35,c_HOL_Ozero__class_Ozero(X38),X38) ),
    inference(variable_rename,[status(thm)],[c_0_658]) ).

fof(c_0_1127,plain,
    ! [X48,X49,X50,X51] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X51)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X50,X51),X49),X51),X48) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X50,X51),X48),X51),X49) ),
    inference(variable_rename,[status(thm)],[c_0_659]) ).

fof(c_0_1128,plain,
    ! [X39,X40,X41,X42,X43] :
      ( c_lessequals(hAPP(X43,X39),hAPP(X43,X41),tc_RealDef_Oreal)
      | ~ c_lessequals(X41,X39,tc_nat)
      | c_lessequals(hAPP(X43,X42),hAPP(X43,X40),tc_RealDef_Oreal)
      | ~ c_lessequals(X42,X40,tc_nat)
      | ~ c_SEQ_Omonoseq(X43) ),
    inference(variable_rename,[status(thm)],[c_0_660]) ).

fof(c_0_1129,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X18,X20),X19),X20) ),
    inference(variable_rename,[status(thm)],[c_0_661]) ).

fof(c_0_1130,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20) ),
    inference(variable_rename,[status(thm)],[c_0_662]) ).

fof(c_0_1131,plain,
    ! [X39,X40,X41,X42,X43] :
      ( c_lessequals(hAPP(X43,X40),hAPP(X43,X42),tc_RealDef_Oreal)
      | ~ c_lessequals(X42,X40,tc_nat)
      | c_lessequals(hAPP(X43,X41),X39,tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X43,X39,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X43) ),
    inference(variable_rename,[status(thm)],[c_0_663]) ).

fof(c_0_1132,plain,
    ! [X36,X37,X38,X39,X40] :
      ( c_lessequals(X36,hAPP(X40,X37),tc_RealDef_Oreal)
      | c_lessequals(hAPP(X40,X39),hAPP(X40,X38),tc_RealDef_Oreal)
      | ~ c_lessequals(X39,X38,tc_nat)
      | ~ c_SEQ_OLIMSEQ(X40,X36,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X40) ),
    inference(variable_rename,[status(thm)],[c_0_664]) ).

fof(c_0_1133,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Oreal__normed__vector(X17)
      | ~ class_RealVector_Oreal__normed__vector(X16)
      | c_Lim_OisCont(X14,X15,X17,X16)
      | ~ c_RealVector_Obounded__linear(X14,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_665]) ).

fof(c_0_1134,plain,
    ! [X14,X15,X16,X17] :
      ( ~ class_RealVector_Ometric__space(X17)
      | ~ class_RealVector_Ometric__space(X16)
      | c_Lim_OisCont(X15,X14,X17,X16)
      | ~ c_Lim_OisUCont(X15,X17,X16) ),
    inference(variable_rename,[status(thm)],[c_0_666]) ).

fof(c_0_1135,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20) ),
    inference(variable_rename,[status(thm)],[c_0_667]) ).

fof(c_0_1136,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20) ),
    inference(variable_rename,[status(thm)],[c_0_668]) ).

fof(c_0_1137,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20) ),
    inference(variable_rename,[status(thm)],[c_0_669]) ).

fof(c_0_1138,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20) ),
    inference(variable_rename,[status(thm)],[c_0_670]) ).

fof(c_0_1139,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_671]) ).

fof(c_0_1140,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_672]) ).

fof(c_0_1141,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_673]) ).

fof(c_0_1142,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20)
      | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_674]) ).

fof(c_0_1143,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_675]) ).

fof(c_0_1144,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_676]) ).

fof(c_0_1145,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X18,X20),X19),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_677]) ).

fof(c_0_1146,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__ring(X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_678]) ).

fof(c_0_1147,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__ring(X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20)
      | ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_679]) ).

fof(c_0_1148,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__ring(X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20)
      | ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_680]) ).

fof(c_0_1149,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_681]) ).

fof(c_0_1150,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20)
      | ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_682]) ).

fof(c_0_1151,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X20)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_683]) ).

fof(c_0_1152,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_684]) ).

fof(c_0_1153,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_685]) ).

fof(c_0_1154,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X20)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_686]) ).

fof(c_0_1155,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X20)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_687]) ).

fof(c_0_1156,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X20)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_688]) ).

fof(c_0_1157,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X20)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_lessequals(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_689]) ).

fof(c_0_1158,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X20)
      | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X18,X20),X19),c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_690]) ).

fof(c_0_1159,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__semiring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X18,X20)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_691]) ).

fof(c_0_1160,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X20)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18),X20)
      | ~ c_HOL_Oord__class_Oless(X18,c_HOL_Ozero__class_Ozero(X20),X20)
      | ~ c_HOL_Oord__class_Oless(X19,c_HOL_Ozero__class_Ozero(X20),X20) ),
    inference(variable_rename,[status(thm)],[c_0_692]) ).

fof(c_0_1161,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X20)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X18,X20)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X18,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_693]) ).

fof(c_0_1162,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X20)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X18,X20)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X18,X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_694]) ).

fof(c_0_1163,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__idom(X20)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X18,X20)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X18,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_695]) ).

fof(c_0_1164,plain,
    ! [X35,X36,X37,X38] :
      ( ~ class_OrderedGroup_Oab__semigroup__mult(X38)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X37,X38),X36),X38),X35) = hAPP(c_HOL_Otimes__class_Otimes(X37,X38),hAPP(c_HOL_Otimes__class_Otimes(X36,X38),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_696]) ).

fof(c_0_1165,plain,
    ! [X48,X49,X50,X51] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X51)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X50,X51),X49),X51),X48) = hAPP(c_HOL_Otimes__class_Otimes(X50,X51),hAPP(c_HOL_Otimes__class_Otimes(X49,X51),X48)) ),
    inference(variable_rename,[status(thm)],[c_0_697]) ).

fof(c_0_1166,plain,
    ! [X48,X49,X50,X51] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X51)
      | hAPP(c_HOL_Otimes__class_Otimes(X50,X51),hAPP(c_HOL_Otimes__class_Otimes(X49,X51),X48)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X50,X51),X49),X51),X48) ),
    inference(variable_rename,[status(thm)],[c_0_698]) ).

fof(c_0_1167,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X22)
      | hAPP(c_HOL_Otimes__class_Otimes(X21,X22),hAPP(c_HOL_Otimes__class_Otimes(X20,X22),X19)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X21,X22),X20),X22),X19) ),
    inference(variable_rename,[status(thm)],[c_0_699]) ).

fof(c_0_1168,plain,
    ! [X34,X35,X36,X37] :
      ( ~ class_RealVector_Oreal__normed__algebra(X37)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X37),X36),X37),X35) = hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X37),hAPP(c_HOL_Otimes__class_Otimes(X36,X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_700]) ).

fof(c_0_1169,plain,
    ! [X34,X35,X36,X37] :
      ( ~ class_RealVector_Oreal__normed__algebra(X37)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X36,X37),X35),X37),X34) = hAPP(c_RealVector_OscaleR__class_OscaleR(X36,X37),hAPP(c_HOL_Otimes__class_Otimes(X35,X37),X34)) ),
    inference(variable_rename,[status(thm)],[c_0_701]) ).

fof(c_0_1170,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__algebra(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),X18),X20),X17) = hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),hAPP(c_HOL_Otimes__class_Otimes(X18,X20),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_702]) ).

fof(c_0_1171,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Oordered__idom(X19)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X19),X17),X19),X18) = hAPP(c_HOL_Oabs__class_Oabs(X19),hAPP(c_HOL_Otimes__class_Otimes(X17,X19),X18))
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X19),X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_703]) ).

fof(c_0_1172,plain,
    ! [X34,X35,X36] :
      ( ~ class_RealVector_Oreal__normed__vector(X36)
      | c_Lim_OisCont(c_RealVector_OscaleR__class_OscaleR(X34,X36),X35,X36,X36) ),
    inference(variable_rename,[status(thm)],[c_0_704]) ).

fof(c_0_1173,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__normed__algebra(X14)
      | c_Lim_OisCont(c_HOL_Otimes__class_Otimes(X12,X14),X13,X14,X14) ),
    inference(variable_rename,[status(thm)],[c_0_705]) ).

fof(c_0_1174,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20) ),
    inference(variable_rename,[status(thm)],[c_0_706]) ).

fof(c_0_1175,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_lessequals(X19,X18,X20)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20) ),
    inference(variable_rename,[status(thm)],[c_0_707]) ).

fof(c_0_1176,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__idom(X20)
      | hAPP(c_HOL_Oabs__class_Oabs(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X20),hAPP(c_HOL_Oabs__class_Oabs(X20),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_708]) ).

fof(c_0_1177,plain,
    ! [X34,X35,X36,X37,X38] :
      ( ~ class_RealVector_Oreal__normed__vector(X38)
      | ~ class_RealVector_Oreal__normed__vector(X37)
      | hAPP(X36,hAPP(c_RealVector_OscaleR__class_OscaleR(X35,X38),X34)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X35,X37),hAPP(X36,X34))
      | ~ c_RealVector_Obounded__linear(X36,X38,X37) ),
    inference(variable_rename,[status(thm)],[c_0_709]) ).

fof(c_0_1178,plain,
    ! [X42,X43,X44,X45] :
      ( c_lessequals(X42,hAPP(X45,X43),tc_RealDef_Oreal)
      | c_lessequals(hAPP(X45,X44),X42,tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X45,X42,tc_RealDef_Oreal)
      | ~ c_SEQ_Omonoseq(X45) ),
    inference(variable_rename,[status(thm)],[c_0_710]) ).

fof(c_0_1179,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X20)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X18,X20)
      | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_711]) ).

fof(c_0_1180,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__idom(X20)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X18,X20)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_712]) ).

fof(c_0_1181,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X18,X20)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_713]) ).

fof(c_0_1182,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),X19,X20)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_714]) ).

fof(c_0_1183,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_HOL_Oord__class_Oless(X19,hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),X20)
      | ~ c_HOL_Oord__class_Oless(X18,hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20) ),
    inference(variable_rename,[status(thm)],[c_0_715]) ).

fof(c_0_1184,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_HOL_Oord__class_Oless(X18,hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20)
      | ~ c_HOL_Oord__class_Oless(X19,hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),X20) ),
    inference(variable_rename,[status(thm)],[c_0_716]) ).

fof(c_0_1185,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X18,X20)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_717]) ).

fof(c_0_1186,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),X19,X20)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_718]) ).

fof(c_0_1187,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_lessequals(X19,hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),X20)
      | ~ c_lessequals(X18,hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20) ),
    inference(variable_rename,[status(thm)],[c_0_719]) ).

fof(c_0_1188,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_lessequals(X18,hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20)
      | ~ c_lessequals(X19,hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),X20) ),
    inference(variable_rename,[status(thm)],[c_0_720]) ).

fof(c_0_1189,plain,
    ! [X48,X49,X50,X51] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X51)
      | hAPP(c_HOL_Otimes__class_Otimes(X50,X51),hAPP(c_HOL_Otimes__class_Otimes(X49,X51),X48)) = hAPP(c_HOL_Otimes__class_Otimes(X49,X51),hAPP(c_HOL_Otimes__class_Otimes(X50,X51),X48)) ),
    inference(variable_rename,[status(thm)],[c_0_721]) ).

fof(c_0_1190,plain,
    ! [X34,X35,X36,X37] :
      ( ~ class_RealVector_Oreal__normed__algebra(X37)
      | hAPP(c_HOL_Otimes__class_Otimes(X36,X37),hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X37),X35)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X37),hAPP(c_HOL_Otimes__class_Otimes(X36,X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_722]) ).

fof(c_0_1191,plain,
    ! [X34,X35,X36,X37] :
      ( ~ class_RealVector_Oreal__normed__algebra(X37)
      | hAPP(c_HOL_Otimes__class_Otimes(X34,X37),hAPP(c_RealVector_OscaleR__class_OscaleR(X36,X37),X35)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X36,X37),hAPP(c_HOL_Otimes__class_Otimes(X34,X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_723]) ).

fof(c_0_1192,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__algebra(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(X18,X20),hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),X17)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),hAPP(c_HOL_Otimes__class_Otimes(X18,X20),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_724]) ).

fof(c_0_1193,plain,
    ! [X34,X35,X36,X37] :
      ( ~ class_RealVector_Oreal__normed__vector(X37)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X36,X37),hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X37),X35)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X34,X37),hAPP(c_RealVector_OscaleR__class_OscaleR(X36,X37),X35)) ),
    inference(variable_rename,[status(thm)],[c_0_725]) ).

fof(c_0_1194,plain,
    ! [X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__vector(X21)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X20,X21),hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X21),X18)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X21),hAPP(c_RealVector_OscaleR__class_OscaleR(X20,X21),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_726]) ).

fof(c_0_1195,plain,
    ! [X49,X50,X51,X52] :
      ( ~ class_RealVector_Oreal__normed__vector(X52)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X50,X52),hAPP(c_RealVector_OscaleR__class_OscaleR(X51,X52),X49)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X51,X52),hAPP(c_RealVector_OscaleR__class_OscaleR(X50,X52),X49)) ),
    inference(variable_rename,[status(thm)],[c_0_727]) ).

fof(c_0_1196,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Orderings_Opreorder(X22)
      | c_HOL_Oord__class_Oless(X21,X19,X22)
      | ~ c_HOL_Oord__class_Oless(X20,X19,X22)
      | ~ c_HOL_Oord__class_Oless(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_728]) ).

fof(c_0_1197,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Orderings_Oorder(X22)
      | c_HOL_Oord__class_Oless(X19,X21,X22)
      | ~ c_HOL_Oord__class_Oless(X19,X20,X22)
      | ~ c_HOL_Oord__class_Oless(X20,X21,X22) ),
    inference(variable_rename,[status(thm)],[c_0_729]) ).

fof(c_0_1198,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Orderings_Opreorder(X22)
      | c_HOL_Oord__class_Oless(X21,X19,X22)
      | ~ c_HOL_Oord__class_Oless(X20,X19,X22)
      | ~ c_lessequals(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_730]) ).

fof(c_0_1199,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Orderings_Opreorder(X22)
      | c_HOL_Oord__class_Oless(X21,X19,X22)
      | ~ c_lessequals(X20,X19,X22)
      | ~ c_HOL_Oord__class_Oless(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_731]) ).

fof(c_0_1200,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Orderings_Opreorder(X22)
      | c_lessequals(X21,X19,X22)
      | ~ c_lessequals(X20,X19,X22)
      | ~ c_lessequals(X21,X20,X22) ),
    inference(variable_rename,[status(thm)],[c_0_732]) ).

fof(c_0_1201,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Orderings_Oorder(X22)
      | c_HOL_Oord__class_Oless(X19,X21,X22)
      | ~ c_HOL_Oord__class_Oless(X19,X20,X22)
      | ~ c_lessequals(X20,X21,X22) ),
    inference(variable_rename,[status(thm)],[c_0_733]) ).

fof(c_0_1202,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Orderings_Oorder(X22)
      | c_HOL_Oord__class_Oless(X19,X21,X22)
      | ~ c_lessequals(X19,X20,X22)
      | ~ c_HOL_Oord__class_Oless(X20,X21,X22) ),
    inference(variable_rename,[status(thm)],[c_0_734]) ).

fof(c_0_1203,plain,
    ! [X19,X20,X21,X22] :
      ( ~ class_Orderings_Oorder(X22)
      | c_lessequals(X19,X21,X22)
      | ~ c_lessequals(X19,X20,X22)
      | ~ c_lessequals(X20,X21,X22) ),
    inference(variable_rename,[status(thm)],[c_0_735]) ).

fof(c_0_1204,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X12,X13),X12),c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_736]) ).

fof(c_0_1205,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_737]) ).

fof(c_0_1206,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X20)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18),hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20)
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_738]) ).

fof(c_0_1207,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
      | c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13) ),
    inference(variable_rename,[status(thm)],[c_0_739]) ).

fof(c_0_1208,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_740]) ).

fof(c_0_1209,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_741]) ).

fof(c_0_1210,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
      | c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13) ),
    inference(variable_rename,[status(thm)],[c_0_742]) ).

fof(c_0_1211,plain,
    ! [X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__algebra(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20),X18) = hAPP(c_HOL_Ouminus__class_Ouminus(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_743]) ).

fof(c_0_1212,plain,
    ! [X17,X18,X19] :
      ( ~ class_RealVector_Oreal__normed__algebra(X19)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X19),X18),X19),X17) = hAPP(c_HOL_Ouminus__class_Ouminus(X19),hAPP(c_HOL_Otimes__class_Otimes(X18,X19),X17)) ),
    inference(variable_rename,[status(thm)],[c_0_744]) ).

fof(c_0_1213,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oring(X20)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20),X18) ),
    inference(variable_rename,[status(thm)],[c_0_745]) ).

fof(c_0_1214,plain,
    ! [X22,X23,X24] :
      ( c_lessequals(X24,X22,tc_RealDef_Oreal)
      | ~ c_lessequals(X23,X22,tc_RealDef_Oreal)
      | ~ c_lessequals(X24,X23,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_746]) ).

fof(c_0_1215,plain,
    ! [X22,X23,X24] :
      ( c_lessequals(X24,X22,tc_nat)
      | ~ c_lessequals(X23,X22,tc_nat)
      | ~ c_lessequals(X24,X23,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_747]) ).

fof(c_0_1216,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X13)
      | c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13)
      | ~ c_lessequals(X12,hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13) ),
    inference(variable_rename,[status(thm)],[c_0_748]) ).

fof(c_0_1217,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X13)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_749]) ).

fof(c_0_1218,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X13)
      | c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13)
      | ~ c_lessequals(X12,hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13) ),
    inference(variable_rename,[status(thm)],[c_0_750]) ).

fof(c_0_1219,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X13)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13)
      | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_751]) ).

fof(c_0_1220,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__idom(X13)
      | c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13)
      | ~ c_HOL_Oord__class_Oless(X12,hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13) ),
    inference(variable_rename,[status(thm)],[c_0_752]) ).

fof(c_0_1221,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__vector(X14)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X13),X14),X12) = hAPP(c_HOL_Ouminus__class_Ouminus(X14),hAPP(c_RealVector_OscaleR__class_OscaleR(X13,X14),X12)) ),
    inference(variable_rename,[status(thm)],[c_0_753]) ).

fof(c_0_1222,plain,
    ! [X28,X29,X30] :
      ( ~ class_RealVector_Oreal__vector(X30)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X29),X30),X28) = hAPP(c_HOL_Ouminus__class_Ouminus(X30),hAPP(c_RealVector_OscaleR__class_OscaleR(X29,X30),X28)) ),
    inference(variable_rename,[status(thm)],[c_0_754]) ).

fof(c_0_1223,plain,
    ! [X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X20)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X19),X20),X18) = hAPP(c_HOL_Ouminus__class_Ouminus(X20),hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_755]) ).

fof(c_0_1224,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X20)
      | c_lessequals(X19,X18,X20)
      | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_756]) ).

fof(c_0_1225,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oordered__idom(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X20),X19),X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_757]) ).

fof(c_0_1226,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Opreorder(X19)
      | c_HOL_Oord__class_Oless(X18,X17,X19)
      | c_lessequals(X17,X18,X19)
      | ~ c_lessequals(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_758]) ).

fof(c_0_1227,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X13),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13)
      | ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_759]) ).

fof(c_0_1228,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),c_HOL_Ozero__class_Ozero(X13),X13)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_760]) ).

fof(c_0_1229,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
      | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),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_761]) ).

fof(c_0_1230,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add(X13)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13)
      | ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_762]) ).

fof(c_0_1231,plain,
    ! [X18,X19] :
      ( ~ class_Ring__and__Field_Oidom(X19)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X19),X18),X19),hAPP(c_HOL_Ouminus__class_Ouminus(X19),X18)) = hAPP(c_HOL_Otimes__class_Otimes(X18,X19),X18) ),
    inference(variable_rename,[status(thm)],[c_0_763]) ).

fof(c_0_1232,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oring(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20),hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18)) = hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18) ),
    inference(variable_rename,[status(thm)],[c_0_764]) ).

fof(c_0_1233,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__idom(X13)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X13),X12),X13),hAPP(c_HOL_Oabs__class_Oabs(X13),X12)) = hAPP(c_HOL_Otimes__class_Otimes(X12,X13),X12) ),
    inference(variable_rename,[status(thm)],[c_0_765]) ).

fof(c_0_1234,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oring(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19),X20),X18) = hAPP(c_HOL_Otimes__class_Otimes(X19,X20),hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_766]) ).

fof(c_0_1235,plain,
    ! [X9,X10,X11] :
      ( c_lessequals(hAPP(X11,X10),hAPP(X11,X9),tc_RealDef_Oreal)
      | ~ c_lessequals(X10,X9,tc_nat)
      | ~ c_SEQ_Oincseq(X11) ),
    inference(variable_rename,[status(thm)],[c_0_767]) ).

fof(c_0_1236,plain,
    ! [X9,X10,X11] :
      ( c_lessequals(hAPP(X11,X9),hAPP(X11,X10),tc_RealDef_Oreal)
      | ~ c_lessequals(X10,X9,tc_nat)
      | ~ c_SEQ_Odecseq(X11) ),
    inference(variable_rename,[status(thm)],[c_0_768]) ).

fof(c_0_1237,plain,
    ! [X9,X10,X11] :
      ( c_HOL_Oord__class_Oless(hAPP(X11,X10),hAPP(X11,X9),tc_nat)
      | ~ c_HOL_Oord__class_Oless(X10,X9,tc_nat)
      | ~ c_SEQ_Osubseq(X11) ),
    inference(variable_rename,[status(thm)],[c_0_769]) ).

fof(c_0_1238,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X13)
      | c_lessequals(X12,hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13)
      | ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_770]) ).

fof(c_0_1239,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Olordered__ab__group__add(X13)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X12,X13)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_771]) ).

fof(c_0_1240,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X13)
      | c_lessequals(X12,hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13)
      | ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_772]) ).

fof(c_0_1241,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X13)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X12,X13)
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_773]) ).

fof(c_0_1242,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__idom(X13)
      | c_HOL_Oord__class_Oless(X12,hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),X13)
      | ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_774]) ).

fof(c_0_1243,plain,
    ! [X31,X32,X33] :
      ( hBOOL(hAPP(hAPP(X33,X31),X32))
      | c_HOL_Oord__class_Oless(X31,X32,tc_nat)
      | X32 = X31
      | c_HOL_Oord__class_Oless(X32,X31,tc_nat) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_775])])]) ).

fof(c_0_1244,plain,
    ! [X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__algebra(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(X19,X20),hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18)) = hAPP(c_HOL_Ouminus__class_Ouminus(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_776]) ).

fof(c_0_1245,plain,
    ! [X28,X29,X30] :
      ( ~ class_RealVector_Oreal__normed__algebra(X30)
      | hAPP(c_HOL_Otimes__class_Otimes(X28,X30),hAPP(c_HOL_Ouminus__class_Ouminus(X30),X29)) = hAPP(c_HOL_Ouminus__class_Ouminus(X30),hAPP(c_HOL_Otimes__class_Otimes(X28,X30),X29)) ),
    inference(variable_rename,[status(thm)],[c_0_777]) ).

fof(c_0_1246,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oring(X20)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X20),hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18)) = hAPP(c_HOL_Otimes__class_Otimes(X19,X20),hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_778]) ).

fof(c_0_1247,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__vector(X14)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X13,X14),hAPP(c_HOL_Ouminus__class_Ouminus(X14),X12)) = hAPP(c_HOL_Ouminus__class_Ouminus(X14),hAPP(c_RealVector_OscaleR__class_OscaleR(X13,X14),X12)) ),
    inference(variable_rename,[status(thm)],[c_0_779]) ).

fof(c_0_1248,plain,
    ! [X18,X19,X20] :
      ( ~ class_RealVector_Oreal__normed__vector(X20)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18)) = hAPP(c_HOL_Ouminus__class_Ouminus(X20),hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_780]) ).

fof(c_0_1249,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X13),hAPP(c_HOL_Oabs__class_Oabs(X13),X12)),c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_781]) ).

fof(c_0_1250,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X4),hAPP(c_HOL_Oabs__class_Oabs(X4),c_HOL_Ozero__class_Ozero(X4)),X4) ),
    inference(variable_rename,[status(thm)],[c_0_782]) ).

fof(c_0_1251,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Oorder(X19)
      | X18 = X17
      | ~ c_lessequals(X17,X18,X19)
      | ~ c_lessequals(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_783]) ).

fof(c_0_1252,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Oorder(X19)
      | X18 = X17
      | ~ c_lessequals(X17,X18,X19)
      | ~ c_lessequals(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_784]) ).

fof(c_0_1253,plain,
    ! [X18,X19,X20,X21] :
      ( ~ class_RealVector_Ometric__space(X21)
      | X19 = X18
      | ~ c_SEQ_OLIMSEQ(X20,X18,X21)
      | ~ c_SEQ_OLIMSEQ(X20,X19,X21) ),
    inference(variable_rename,[status(thm)],[c_0_785]) ).

fof(c_0_1254,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Oorder(X19)
      | X18 = X17
      | ~ c_lessequals(X18,X17,X19)
      | ~ c_lessequals(X17,X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_786]) ).

fof(c_0_1255,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | ~ c_lessequals(X18,X17,X19)
      | ~ c_HOL_Oord__class_Oless(X17,X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_787]) ).

fof(c_0_1256,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | ~ c_HOL_Oord__class_Oless(X18,X17,X19)
      | ~ c_lessequals(X17,X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_788]) ).

fof(c_0_1257,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_lessequals(X10,X10,X11)
      | ~ c_HOL_Oord__class_Oless(X10,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_789]) ).

fof(c_0_1258,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Opreorder(X19)
      | ~ c_lessequals(X17,X18,X19)
      | ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_790]) ).

fof(c_0_1259,plain,
    ! [X18,X19,X20] :
      ( ~ class_Orderings_Opreorder(X20)
      | ~ c_HOL_Oord__class_Oless(X18,X19,X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_791]) ).

fof(c_0_1260,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Opreorder(X19)
      | ~ c_HOL_Oord__class_Oless(X17,X18,X19)
      | ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_792]) ).

fof(c_0_1261,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | ~ c_HOL_Oord__class_Oless(X18,X17,X19)
      | ~ c_HOL_Oord__class_Oless(X17,X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_793]) ).

fof(c_0_1262,plain,
    ! [X18,X19,X20] :
      ( ~ class_Orderings_Oorder(X20)
      | ~ c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_HOL_Oord__class_Oless(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_794]) ).

fof(c_0_1263,plain,
    ! [X30,X31,X32] :
      ( c_lessequals(X32,hAPP(X31,X30),tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X31,X32,tc_RealDef_Oreal)
      | ~ c_SEQ_Odecseq(X31) ),
    inference(variable_rename,[status(thm)],[c_0_795]) ).

fof(c_0_1264,plain,
    ! [X30,X31,X32] :
      ( c_lessequals(hAPP(X31,X30),X32,tc_RealDef_Oreal)
      | ~ c_SEQ_OLIMSEQ(X31,X32,tc_RealDef_Oreal)
      | ~ c_SEQ_Oincseq(X31) ),
    inference(variable_rename,[status(thm)],[c_0_796]) ).

fof(c_0_1265,plain,
    ! [X43,X44] :
      ( X43 = X44
      | ~ c_lessequals(X44,X43,tc_RealDef_Oreal)
      | ~ c_lessequals(X43,X44,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_797]) ).

fof(c_0_1266,plain,
    ! [X9,X10] :
      ( X10 = X9
      | ~ c_lessequals(X9,X10,tc_nat)
      | ~ c_lessequals(X10,X9,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_798]) ).

fof(c_0_1267,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13)
      | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X13),X12),c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_799]) ).

fof(c_0_1268,plain,
    ! [X17,X18,X19] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X19)
      | hAPP(c_HOL_Otimes__class_Otimes(X18,X19),hAPP(c_HOL_Otimes__class_Otimes(X18,X19),X17)) = hAPP(c_HOL_Otimes__class_Otimes(X18,X19),X17) ),
    inference(variable_rename,[status(thm)],[c_0_800]) ).

fof(c_0_1269,plain,
    ! [X34,X35,X36] :
      ( ~ class_RealVector_Oreal__algebra__1(X36)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X35,X36),X34) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_Oof__real(X36),X35),X36),X34) ),
    inference(variable_rename,[status(thm)],[c_0_801]) ).

fof(c_0_1270,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X13),X12),c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_802]) ).

fof(c_0_1271,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | X10 = c_HOL_Ozero__class_Ozero(X11)
      | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X11),X10),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_803]) ).

fof(c_0_1272,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oidom(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X19) != hAPP(c_HOL_Otimes__class_Otimes(X18,X20),X18)
      | X19 = hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18)
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_804]) ).

fof(c_0_1273,plain,
    ! [X14,X15,X16] :
      ( ~ class_RealVector_Oreal__normed__vector(X16)
      | ~ class_RealVector_Oreal__normed__vector(X15)
      | c_Lim_OisUCont(X14,X16,X15)
      | ~ c_RealVector_Obounded__linear(X14,X16,X15) ),
    inference(variable_rename,[status(thm)],[c_0_805]) ).

fof(c_0_1274,plain,
    ! [X12,X13] :
      ( ~ class_Orderings_Olinorder(X13)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),X12) = hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)
      | ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_806]) ).

fof(c_0_1275,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Oorder(X19)
      | c_HOL_Oord__class_Oless(X18,X17,X19)
      | X18 = X17
      | ~ c_lessequals(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_807]) ).

fof(c_0_1276,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Oorder(X19)
      | X18 = X17
      | c_HOL_Oord__class_Oless(X18,X17,X19)
      | ~ c_lessequals(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_808]) ).

fof(c_0_1277,plain,
    ! [X18,X19,X20] :
      ( ~ class_Orderings_Oorder(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | X19 = X18
      | ~ c_lessequals(X19,X18,X20) ),
    inference(variable_rename,[status(thm)],[c_0_809]) ).

fof(c_0_1278,plain,
    ! [X18,X19,X20] :
      ( ~ class_Orderings_Oorder(X20)
      | c_HOL_Oord__class_Oless(X19,X18,X20)
      | ~ c_lessequals(X19,X18,X20)
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_810]) ).

fof(c_0_1279,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | X18 = X17
      | ~ c_lessequals(X18,X17,X19)
      | c_HOL_Oord__class_Oless(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_811]) ).

fof(c_0_1280,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | X18 = X17
      | c_HOL_Oord__class_Oless(X18,X17,X19)
      | ~ c_lessequals(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_812]) ).

fof(c_0_1281,plain,
    ! [X18,X19,X20] :
      ( ~ class_Orderings_Oorder(X20)
      | c_HOL_Oord__class_Oless(X18,X19,X20)
      | ~ c_lessequals(X18,X19,X20)
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_813]) ).

fof(c_0_1282,plain,
    ! [X18,X19,X20] :
      ( ~ class_Orderings_Oorder(X20)
      | c_HOL_Oord__class_Oless(X18,X19,X20)
      | X19 = X18
      | ~ c_lessequals(X18,X19,X20) ),
    inference(variable_rename,[status(thm)],[c_0_814]) ).

fof(c_0_1283,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Oorder(X19)
      | c_lessequals(X18,X17,X19)
      | ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_815]) ).

fof(c_0_1284,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Opreorder(X19)
      | c_lessequals(X18,X17,X19)
      | ~ c_HOL_Oord__class_Oless(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_816]) ).

fof(c_0_1285,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Oordered__ring__strict(X13)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X13),hAPP(c_HOL_Otimes__class_Otimes(X12,X13),X12),X13) ),
    inference(variable_rename,[status(thm)],[c_0_817]) ).

fof(c_0_1286,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),X12) = hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)
      | ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_818]) ).

fof(c_0_1287,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Oabs__if(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),X12) = hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)
      | ~ c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_819]) ).

fof(c_0_1288,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),X12) = hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)
      | ~ c_lessequals(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_820]) ).

fof(c_0_1289,plain,
    ! [X18,X19,X20,X21] :
      ( ~ class_RealVector_Oreal__vector(X21)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X20,X21),X18) != hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X21),X18)
      | X18 = c_HOL_Ozero__class_Ozero(X21)
      | X20 = X19 ),
    inference(variable_rename,[status(thm)],[c_0_821]) ).

fof(c_0_1290,plain,
    ! [X9,X10] :
      ( c_HOL_Oord__class_Oless(X10,X9,tc_nat)
      | X10 = X9
      | ~ c_lessequals(X10,X9,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_822]) ).

fof(c_0_1291,plain,
    ! [X9,X10] :
      ( X10 = X9
      | c_HOL_Oord__class_Oless(X10,X9,tc_nat)
      | ~ c_lessequals(X10,X9,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_823]) ).

fof(c_0_1292,plain,
    ! [X9,X10] :
      ( c_HOL_Oord__class_Oless(X10,X9,tc_nat)
      | X10 = X9
      | ~ c_lessequals(X10,X9,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_824]) ).

fof(c_0_1293,plain,
    ! [X17,X18,X19,X20] :
      ( ~ class_RealVector_Oreal__vector(X20)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),X18) != hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),X17)
      | X19 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_825]) ).

fof(c_0_1294,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12),hAPP(c_HOL_Oabs__class_Oabs(X13),X12),X13) ),
    inference(variable_rename,[status(thm)],[c_0_826]) ).

fof(c_0_1295,plain,
    ! [X9,X10] :
      ( c_lessequals(X10,X9,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X10,X9,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_827]) ).

fof(c_0_1296,plain,
    ! [X17,X18] :
      ( c_lessequals(X18,X17,tc_nat)
      | ~ c_HOL_Oord__class_Oless(X18,X17,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_828]) ).

fof(c_0_1297,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | ~ class_RealVector_Oreal__algebra__1(X11)
      | hAPP(c_RealVector_Oof__real(X11),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X10)) = hAPP(c_HOL_Ouminus__class_Ouminus(X11),hAPP(c_RealVector_Oof__real(X11),X10)) ),
    inference(variable_rename,[status(thm)],[c_0_829]) ).

fof(c_0_1298,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),X12) = X12
      | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_830]) ).

fof(c_0_1299,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),X12) = X12
      | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),X12,X13) ),
    inference(variable_rename,[status(thm)],[c_0_831]) ).

fof(c_0_1300,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | c_HOL_Oord__class_Oless(X17,X18,X19)
      | c_HOL_Oord__class_Oless(X18,X17,X19)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_832]) ).

fof(c_0_1301,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | c_HOL_Oord__class_Oless(X17,X18,X19)
      | X18 = X17
      | c_HOL_Oord__class_Oless(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_833]) ).

fof(c_0_1302,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | X18 = X17
      | c_HOL_Oord__class_Oless(X18,X17,X19)
      | c_HOL_Oord__class_Oless(X17,X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_834]) ).

fof(c_0_1303,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | X18 = X17
      | c_HOL_Oord__class_Oless(X17,X18,X19)
      | c_HOL_Oord__class_Oless(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_835]) ).

fof(c_0_1304,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Oordered__idom(X19)
      | c_HOL_Oord__class_Oless(X17,X18,X19)
      | c_HOL_Oord__class_Oless(X18,X17,X19)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_836]) ).

fof(c_0_1305,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X4),c_HOL_Ozero__class_Ozero(X4)),c_HOL_Ozero__class_Ozero(X4),X4) ),
    inference(variable_rename,[status(thm)],[c_0_837]) ).

fof(c_0_1306,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__algebra__1(X11)
      | hAPP(c_RealVector_Oof__real(X11),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X10)) = hAPP(c_HOL_Ouminus__class_Ouminus(X11),hAPP(c_RealVector_Oof__real(X11),X10)) ),
    inference(variable_rename,[status(thm)],[c_0_838]) ).

fof(c_0_1307,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | c_HOL_Oord__class_Oless(X17,X18,X19)
      | c_lessequals(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_839]) ).

fof(c_0_1308,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | c_lessequals(X17,X18,X19)
      | c_HOL_Oord__class_Oless(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_840]) ).

fof(c_0_1309,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Olinorder(X11)
      | c_HOL_Oord__class_Oless(X10,X10,X11)
      | c_lessequals(X10,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_841]) ).

fof(c_0_1310,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | c_HOL_Oord__class_Oless(X18,X17,X19)
      | c_lessequals(X17,X18,X19) ),
    inference(variable_rename,[status(thm)],[c_0_842]) ).

fof(c_0_1311,plain,
    ! [X17,X18,X19] :
      ( ~ class_Orderings_Olinorder(X19)
      | c_lessequals(X17,X18,X19)
      | c_lessequals(X18,X17,X19) ),
    inference(variable_rename,[status(thm)],[c_0_843]) ).

fof(c_0_1312,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X4),c_HOL_Ozero__class_Ozero(X4)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_844]) ).

fof(c_0_1313,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X13),hAPP(c_HOL_Oabs__class_Oabs(X13),X12),X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_845]) ).

fof(c_0_1314,plain,
    ! [X7,X8] :
      ( ~ class_RealVector_Oreal__normed__vector(X8)
      | c_Series_Osums(X7,c_Series_Osuminf(X7,X8),X8)
      | ~ c_Series_Osummable(X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_846]) ).

fof(c_0_1315,plain,
    ! [X7,X8] :
      ( ~ class_RealVector_Oreal__normed__vector(X8)
      | ~ c_Series_Osummable(X7,X8)
      | c_Series_Osums(X7,c_Series_Osuminf(X7,X8),X8) ),
    inference(variable_rename,[status(thm)],[c_0_847]) ).

fof(c_0_1316,plain,
    ! [X17,X18] :
      ( c_HOL_Oord__class_Oless(X17,X18,tc_nat)
      | c_HOL_Oord__class_Oless(X18,X17,tc_nat)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_848]) ).

fof(c_0_1317,plain,
    ! [X9,X10] :
      ( c_HOL_Oord__class_Oless(X9,X10,tc_nat)
      | c_HOL_Oord__class_Oless(X10,X9,tc_nat)
      | X10 = X9 ),
    inference(variable_rename,[status(thm)],[c_0_849]) ).

fof(c_0_1318,plain,
    ! [X23,X24,X25] :
      ( ~ class_RealVector_Oreal__normed__vector(X25)
      | X23 = c_Series_Osuminf(X24,X25)
      | ~ c_Series_Osums(X24,X23,X25) ),
    inference(variable_rename,[status(thm)],[c_0_850]) ).

fof(c_0_1319,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__vector(X12)
      | c_Series_Osuminf(X11,X12) = X10
      | ~ c_Series_Osums(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_851]) ).

fof(c_0_1320,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Ometric__space(X14)
      | c_SEQ_OCauchy(X13,X14)
      | ~ c_SEQ_OLIMSEQ(X13,X12,X14) ),
    inference(variable_rename,[status(thm)],[c_0_852]) ).

fof(c_0_1321,plain,
    ! [X16,X17,X18] :
      ( ~ class_RealVector_Oreal__normed__vector(X18)
      | c_Series_Osummable(X17,X18)
      | ~ c_Series_Osums(X17,X16,X18) ),
    inference(variable_rename,[status(thm)],[c_0_853]) ).

fof(c_0_1322,plain,
    ! [X10,X11,X12] :
      ( ~ class_RealVector_Oreal__normed__vector(X12)
      | c_Series_Osummable(X11,X12)
      | ~ c_Series_Osums(X11,X10,X12) ),
    inference(variable_rename,[status(thm)],[c_0_854]) ).

fof(c_0_1323,plain,
    ! [X43,X44] :
      ( c_lessequals(X44,X43,tc_RealDef_Oreal)
      | c_lessequals(X43,X44,tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_855]) ).

fof(c_0_1324,plain,
    ! [X9,X10] :
      ( c_lessequals(X9,X10,tc_nat)
      | c_lessequals(X10,X9,tc_nat) ),
    inference(variable_rename,[status(thm)],[c_0_856]) ).

fof(c_0_1325,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_lessequals(c_HOL_Ozero__class_Ozero(X13),hAPP(c_HOL_Oabs__class_Oabs(X13),X12),X13) ),
    inference(variable_rename,[status(thm)],[c_0_857]) ).

fof(c_0_1326,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(X11),X10),tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_858]) ).

fof(c_0_1327,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | c_lessequals(X12,hAPP(c_HOL_Oabs__class_Oabs(X13),X12),X13) ),
    inference(variable_rename,[status(thm)],[c_0_859]) ).

fof(c_0_1328,plain,
    ! [X17,X18,X19] :
      ( ~ class_RealVector_Oreal__vector(X19)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X19),X18) = hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X19),X17) ),
    inference(variable_rename,[status(thm)],[c_0_860]) ).

fof(c_0_1329,plain,
    ! [X18,X19,X20] :
      ( ~ class_RealVector_Oreal__vector(X20)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X19,X20),c_HOL_Ozero__class_Ozero(X20)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X18,X20),c_HOL_Ozero__class_Ozero(X20)) ),
    inference(variable_rename,[status(thm)],[c_0_861]) ).

fof(c_0_1330,plain,
    ! [X12,X13] :
      ( ~ class_Orderings_Olinorder(X13)
      | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),X12) = X12
      | c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_862]) ).

fof(c_0_1331,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Olinorder(X11)
      | ~ c_HOL_Oord__class_Oless(X10,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_863]) ).

fof(c_0_1332,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Oorder(X11)
      | ~ c_HOL_Oord__class_Oless(X10,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_864]) ).

fof(c_0_1333,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Opreorder(X11)
      | ~ c_HOL_Oord__class_Oless(X10,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_865]) ).

fof(c_0_1334,plain,
    ! [X7,X8] :
      ( ~ class_RealVector_Oreal__normed__vector(X8)
      | c_SEQ_OLIMSEQ(X7,c_HOL_Ozero__class_Ozero(X8),X8)
      | ~ c_Series_Osummable(X7,X8) ),
    inference(variable_rename,[status(thm)],[c_0_866]) ).

fof(c_0_1335,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Oabs__if(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),X12) = X12
      | c_HOL_Oord__class_Oless(X12,c_HOL_Ozero__class_Ozero(X13),X13) ),
    inference(variable_rename,[status(thm)],[c_0_867]) ).

fof(c_0_1336,plain,
    ! [X4,X5,X6] :
      ( X5 = X4
      | ~ c_fequal(X5,X4,X6) ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_868])])]) ).

fof(c_0_1337,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | c_RealVector_Obounded__linear(c_HOL_Otimes__class_Otimes(X12,X13),X13,X13) ),
    inference(variable_rename,[status(thm)],[c_0_869]) ).

fof(c_0_1338,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__algebra(X11)
      | c_Lim_OisUCont(c_HOL_Otimes__class_Otimes(X10,X11),X11,X11) ),
    inference(variable_rename,[status(thm)],[c_0_870]) ).

fof(c_0_1339,plain,
    ! [X34,X35] :
      ( ~ class_RealVector_Oreal__normed__vector(X35)
      | c_Lim_OisUCont(c_RealVector_OscaleR__class_OscaleR(X34,X35),X35,X35) ),
    inference(variable_rename,[status(thm)],[c_0_871]) ).

fof(c_0_1340,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | c_RealVector_Obounded__linear(c_RealVector_OscaleR__class_OscaleR(X12,X13),X13,X13) ),
    inference(variable_rename,[status(thm)],[c_0_872]) ).

fof(c_0_1341,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18) != c_HOL_Ozero__class_Ozero(X20)
      | X18 = c_HOL_Ozero__class_Ozero(X20)
      | X19 = c_HOL_Ozero__class_Ozero(X20) ),
    inference(variable_rename,[status(thm)],[c_0_873]) ).

fof(c_0_1342,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18) != c_HOL_Ozero__class_Ozero(X20)
      | X18 = c_HOL_Ozero__class_Ozero(X20)
      | X19 = c_HOL_Ozero__class_Ozero(X20) ),
    inference(variable_rename,[status(thm)],[c_0_874]) ).

fof(c_0_1343,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ono__zero__divisors(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18) != c_HOL_Ozero__class_Ozero(X20)
      | X19 = c_HOL_Ozero__class_Ozero(X20)
      | X18 = c_HOL_Ozero__class_Ozero(X20) ),
    inference(variable_rename,[status(thm)],[c_0_875]) ).

fof(c_0_1344,plain,
    ! [X17,X18,X19] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X19)
      | hAPP(c_HOL_Otimes__class_Otimes(X18,X19),X17) = hAPP(c_HOL_Otimes__class_Otimes(X17,X19),X18) ),
    inference(variable_rename,[status(thm)],[c_0_876]) ).

fof(c_0_1345,plain,
    ! [X18,X19,X20] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X20)
      | hAPP(c_HOL_Otimes__class_Otimes(X19,X20),X18) = hAPP(c_HOL_Otimes__class_Otimes(X18,X20),X19) ),
    inference(variable_rename,[status(thm)],[c_0_877]) ).

fof(c_0_1346,plain,
    ! [X8,X9] :
      ( c_lessequals(X8,hAPP(X9,X8),tc_nat)
      | ~ c_SEQ_Osubseq(X9) ),
    inference(variable_rename,[status(thm)],[c_0_878]) ).

fof(c_0_1347,plain,
    ! [X12,X13,X14] :
      ( ~ class_RealVector_Oreal__vector(X14)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X13,X14),X12) != c_HOL_Ozero__class_Ozero(X14)
      | X12 = c_HOL_Ozero__class_Ozero(X14)
      | X13 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_879]) ).

fof(c_0_1348,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)) = hAPP(c_HOL_Oabs__class_Oabs(X13),X12) ),
    inference(variable_rename,[status(thm)],[c_0_880]) ).

fof(c_0_1349,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),hAPP(c_HOL_Oabs__class_Oabs(X13),X12)) = hAPP(c_HOL_Oabs__class_Oabs(X13),X12) ),
    inference(variable_rename,[status(thm)],[c_0_881]) ).

fof(c_0_1350,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | hAPP(c_RealVector_Onorm__class_Onorm(X11),hAPP(c_HOL_Ouminus__class_Ouminus(X11),X10)) = hAPP(c_RealVector_Onorm__class_Onorm(X11),X10) ),
    inference(variable_rename,[status(thm)],[c_0_882]) ).

fof(c_0_1351,plain,
    ! [X17,X18] :
      ( hAPP(c_Complex_OIm,X18) != hAPP(c_Complex_OIm,X17)
      | hAPP(c_Complex_ORe,X18) != hAPP(c_Complex_ORe,X17)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_883]) ).

fof(c_0_1352,plain,
    ! [X17,X18,X19] :
      ( ~ class_Lattices_Oboolean__algebra(X19)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X19),X18) != hAPP(c_HOL_Ouminus__class_Ouminus(X19),X17)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_884]) ).

fof(c_0_1353,plain,
    ! [X18,X19,X20] :
      ( ~ class_OrderedGroup_Ogroup__add(X20)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X20),X19) != hAPP(c_HOL_Ouminus__class_Ouminus(X20),X18)
      | X19 = X18 ),
    inference(variable_rename,[status(thm)],[c_0_885]) ).

fof(c_0_1354,plain,
    ! [X17,X18,X19] :
      ( ~ class_RealVector_Oreal__algebra__1(X19)
      | hAPP(c_RealVector_Oof__real(X19),X18) != hAPP(c_RealVector_Oof__real(X19),X17)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_886]) ).

fof(c_0_1355,plain,
    ! [X18,X19] :
      ( ~ class_OrderedGroup_Ogroup__add(X19)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X19),hAPP(c_HOL_Ouminus__class_Ouminus(X19),X18)) = X18 ),
    inference(variable_rename,[status(thm)],[c_0_887]) ).

fof(c_0_1356,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | X12 = hAPP(c_HOL_Ouminus__class_Ouminus(X13),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)) ),
    inference(variable_rename,[status(thm)],[c_0_888]) ).

fof(c_0_1357,plain,
    ! [X18,X19] :
      ( ~ class_OrderedGroup_Ogroup__add(X19)
      | X18 = hAPP(c_HOL_Ouminus__class_Ouminus(X19),hAPP(c_HOL_Ouminus__class_Ouminus(X19),X18)) ),
    inference(variable_rename,[status(thm)],[c_0_889]) ).

fof(c_0_1358,plain,
    ! [X10,X11] :
      ( ~ class_Lattices_Oboolean__algebra(X11)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X11),hAPP(c_HOL_Ouminus__class_Ouminus(X11),X10)) = X10 ),
    inference(variable_rename,[status(thm)],[c_0_890]) ).

fof(c_0_1359,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X13),hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_891]) ).

fof(c_0_1360,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X13)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X13),X13),X12) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_892]) ).

fof(c_0_1361,plain,
    ! [X17,X18] :
      ( ~ class_RealVector_Oreal__normed__algebra(X18)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X18),X18),X17) = c_HOL_Ozero__class_Ozero(X18) ),
    inference(variable_rename,[status(thm)],[c_0_893]) ).

fof(c_0_1362,plain,
    ! [X18,X19] :
      ( ~ class_RealVector_Oreal__normed__algebra(X19)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X19),X19),X18) = c_HOL_Ozero__class_Ozero(X19) ),
    inference(variable_rename,[status(thm)],[c_0_894]) ).

fof(c_0_1363,plain,
    ! [X10,X11] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X11)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X11),X11),X10) = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_895]) ).

fof(c_0_1364,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Omult__zero(X13)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X13),X13),X12) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_896]) ).

fof(c_0_1365,plain,
    ! [X18,X19] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X19)
      | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X19),X19),X18) = c_HOL_Ozero__class_Ozero(X19) ),
    inference(variable_rename,[status(thm)],[c_0_897]) ).

fof(c_0_1366,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Opreorder(X11)
      | c_lessequals(X10,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_898]) ).

fof(c_0_1367,plain,
    ! [X10,X11] :
      ( ~ class_Orderings_Oorder(X11)
      | c_lessequals(X10,X10,X11) ),
    inference(variable_rename,[status(thm)],[c_0_899]) ).

fof(c_0_1368,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__vector(X13)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X12,X13),c_HOL_Ozero__class_Ozero(X13)) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_900]) ).

fof(c_0_1369,plain,
    ! [X18,X19] :
      ( ~ class_RealVector_Oreal__normed__vector(X19)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X19),X18) = c_HOL_Ozero__class_Ozero(X19) ),
    inference(variable_rename,[status(thm)],[c_0_901]) ).

fof(c_0_1370,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__vector(X13)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(X12,X13),c_HOL_Ozero__class_Ozero(X13)) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_902]) ).

fof(c_0_1371,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__vector(X11)
      | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X11),X10) = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_903]) ).

fof(c_0_1372,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Ocomm__semiring__1(X13)
      | hAPP(c_HOL_Otimes__class_Otimes(X12,X13),c_HOL_Ozero__class_Ozero(X13)) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_904]) ).

fof(c_0_1373,plain,
    ! [X12,X13] :
      ( ~ class_RealVector_Oreal__normed__algebra(X13)
      | hAPP(c_HOL_Otimes__class_Otimes(X12,X13),c_HOL_Ozero__class_Ozero(X13)) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_905]) ).

fof(c_0_1374,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__algebra(X11)
      | hAPP(c_HOL_Otimes__class_Otimes(X10,X11),c_HOL_Ozero__class_Ozero(X11)) = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_906]) ).

fof(c_0_1375,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Omult__zero(X13)
      | hAPP(c_HOL_Otimes__class_Otimes(X12,X13),c_HOL_Ozero__class_Ozero(X13)) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_907]) ).

fof(c_0_1376,plain,
    ! [X12,X13] :
      ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X13)
      | hAPP(c_HOL_Otimes__class_Otimes(X12,X13),c_HOL_Ozero__class_Ozero(X13)) = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_908]) ).

fof(c_0_1377,plain,
    ! [X28,X29,X30] :
      ( c_Complex_Ocomplex_OComplex(X30,X28) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X29)
      | X28 = 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_909])])]) ).

fof(c_0_1378,plain,
    ! [X28,X29,X30] :
      ( c_Complex_Ocomplex_OComplex(X30,X28) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X29)
      | X30 = X29 ),
    inference(variable_rename,[status(thm)],[c_0_910]) ).

fof(c_0_1379,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12) != c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_911]) ).

fof(c_0_1380,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Ogroup__add(X13)
      | c_HOL_Ozero__class_Ozero(X13) != hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12)
      | c_HOL_Ozero__class_Ozero(X13) = X12 ),
    inference(variable_rename,[status(thm)],[c_0_912]) ).

fof(c_0_1381,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X13)
      | hAPP(c_HOL_Oabs__class_Oabs(X13),X12) != c_HOL_Ozero__class_Ozero(X13)
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_913]) ).

fof(c_0_1382,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__algebra__1(X11)
      | hAPP(c_RealVector_Oof__real(X11),X10) != c_HOL_Ozero__class_Ozero(X11)
      | X10 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_914]) ).

fof(c_0_1383,plain,
    ! [X10,X11] :
      ( ~ class_RealVector_Oreal__normed__vector(X11)
      | hAPP(c_RealVector_Onorm__class_Onorm(X11),X10) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
      | X10 = c_HOL_Ozero__class_Ozero(X11) ),
    inference(variable_rename,[status(thm)],[c_0_915]) ).

fof(c_0_1384,plain,
    ! [X10,X11] :
      ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X11)
      | hAPP(c_HOL_Otimes__class_Otimes(X10,X11),X10) = X10 ),
    inference(variable_rename,[status(thm)],[c_0_916]) ).

fof(c_0_1385,plain,
    ! [X27,X28,X29,X30] :
      ( c_Complex_Ocomplex_OComplex(X30,X28) != c_Complex_Ocomplex_OComplex(X29,X27)
      | X28 = X27 ),
    inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_917])])]) ).

fof(c_0_1386,plain,
    ! [X27,X28,X29,X30] :
      ( c_Complex_Ocomplex_OComplex(X30,X28) != c_Complex_Ocomplex_OComplex(X29,X27)
      | X30 = X29 ),
    inference(variable_rename,[status(thm)],[c_0_918]) ).

fof(c_0_1387,plain,
    ! [X12,X13] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X13)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X13),X12) != X12
      | X12 = c_HOL_Ozero__class_Ozero(X13) ),
    inference(variable_rename,[status(thm)],[c_0_919]) ).

fof(c_0_1388,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | ~ class_RealVector_Oreal__algebra__1(X4)
      | hAPP(c_RealVector_Oof__real(X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_920]) ).

fof(c_0_1389,plain,
    ! [X17,X18] :
      ( hAPP(c_Complex_Ocnj,X18) != hAPP(c_Complex_Ocnj,X17)
      | X18 = X17 ),
    inference(variable_rename,[status(thm)],[c_0_921]) ).

fof(c_0_1390,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X4)
      | hAPP(c_HOL_Oabs__class_Oabs(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_922]) ).

fof(c_0_1391,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | c_HOL_Ozero__class_Ozero(X4) = hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_HOL_Ozero__class_Ozero(X4)) ),
    inference(variable_rename,[status(thm)],[c_0_923]) ).

fof(c_0_1392,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Ogroup__add(X4)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_924]) ).

fof(c_0_1393,plain,
    ! [X4] :
      ( ~ class_OrderedGroup_Oordered__ab__group__add(X4)
      | hAPP(c_HOL_Ouminus__class_Ouminus(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_925]) ).

fof(c_0_1394,plain,
    ! [X6,X7] :
      ( class_Lattices_Oboolean__algebra(tc_fun(X6,X7))
      | ~ class_Lattices_Oboolean__algebra(X7) ),
    inference(variable_rename,[status(thm)],[c_0_926]) ).

fof(c_0_1395,plain,
    ! [X6,X7] :
      ( class_Orderings_Opreorder(tc_fun(X6,X7))
      | ~ class_Orderings_Opreorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_927]) ).

fof(c_0_1396,plain,
    ! [X6,X7] :
      ( class_Orderings_Oorder(tc_fun(X6,X7))
      | ~ class_Orderings_Oorder(X7) ),
    inference(variable_rename,[status(thm)],[c_0_928]) ).

fof(c_0_1397,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__normed__vector(X4)
      | hAPP(c_RealVector_Onorm__class_Onorm(X4),c_HOL_Ozero__class_Ozero(X4)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_929]) ).

fof(c_0_1398,plain,
    ! [X4] :
      ( ~ class_RealVector_Oreal__algebra__1(X4)
      | hAPP(c_RealVector_Oof__real(X4),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X4) ),
    inference(variable_rename,[status(thm)],[c_0_930]) ).

fof(c_0_1399,plain,
    ! [X18,X19] :
      ( c_Complex_Ocomplex_OComplex(X19,X18) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X18 = 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_931])])]) ).

fof(c_0_1400,plain,
    ! [X18,X19] :
      ( c_Complex_Ocomplex_OComplex(X19,X18) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X19 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(variable_rename,[status(thm)],[c_0_932]) ).

fof(c_0_1401,plain,
    ! [X19] :
      ( hAPP(c_Complex_Ocnj,X19) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
      | X19 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(variable_rename,[status(thm)],[c_0_933]) ).

fof(c_0_1402,plain,
    ! [X3] :
      ( c_SEQ_Omonoseq(X3)
      | ~ c_SEQ_Oincseq(X3) ),
    inference(variable_rename,[status(thm)],[c_0_934]) ).

fof(c_0_1403,plain,
    ! [X3] :
      ( c_SEQ_Omonoseq(X3)
      | ~ c_SEQ_Odecseq(X3) ),
    inference(variable_rename,[status(thm)],[c_0_935]) ).

cnf(c_0_1404,plain,
    ( v_thesis____
    | ~ c_SEQ_Osubseq(X1)
    | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X1,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_936]) ).

cnf(c_0_1405,plain,
    ( c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_Series_Osuminf(X2,X1)),c_Series_Osuminf(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_937]) ).

cnf(c_0_1406,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_938]) ).

cnf(c_0_1407,plain,
    ( c_Lim_OLIM(c_Fun_Ocomp(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_939]) ).

cnf(c_0_1408,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_940]) ).

cnf(c_0_1409,plain,
    ( c_Limits_Otendsto(X2,X4,X5,X3,X1)
    | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_941]) ).

cnf(c_0_1410,plain,
    ( c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_942]) ).

cnf(c_0_1411,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X4),X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_943]) ).

cnf(c_0_1412,plain,
    ( c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X4),X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_944]) ).

cnf(c_0_1413,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_945]) ).

cnf(c_0_1414,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_946]) ).

cnf(c_0_1415,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),X2,hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_947]) ).

cnf(c_0_1416,plain,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_948]) ).

cnf(c_0_1417,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_949]) ).

cnf(c_0_1418,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_950]) ).

cnf(c_0_1419,plain,
    ( c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_951]) ).

cnf(c_0_1420,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_952]) ).

cnf(c_0_1421,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_953]) ).

cnf(c_0_1422,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_954]) ).

cnf(c_0_1423,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_955]) ).

cnf(c_0_1424,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_956]) ).

cnf(c_0_1425,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_957]) ).

cnf(c_0_1426,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_958]) ).

cnf(c_0_1427,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_959]) ).

cnf(c_0_1428,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_960]) ).

cnf(c_0_1429,plain,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_961]) ).

cnf(c_0_1430,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_962]) ).

cnf(c_0_1431,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_963]) ).

cnf(c_0_1432,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_964]) ).

cnf(c_0_1433,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X4),X2,hAPP(c_Complex_Ocnj,X3),X4,tc_Complex_Ocomplex)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_965]) ).

cnf(c_0_1434,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_966]) ).

cnf(c_0_1435,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_967]) ).

cnf(c_0_1436,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X4),hAPP(c_Complex_Ocnj,X2),X3,X4,tc_Complex_Ocomplex)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_968]) ).

cnf(c_0_1437,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_OIm,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_969]) ).

cnf(c_0_1438,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_ORe,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_970]) ).

cnf(c_0_1439,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_971]) ).

cnf(c_0_1440,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_972]) ).

cnf(c_0_1441,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_973]) ).

cnf(c_0_1442,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_974]) ).

cnf(c_0_1443,plain,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    inference(split_conjunct,[status(thm)],[c_0_975]) ).

cnf(c_0_1444,plain,
    ( c_Series_Osummable(X2,X1)
    | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(X2,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1))),hAPP(X3,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1)),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_976]) ).

cnf(c_0_1445,plain,
    ( hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_977]) ).

cnf(c_0_1446,plain,
    ( c_Limits_OZfun(X2,X4,X3,X1)
    | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_978]) ).

cnf(c_0_1447,plain,
    ( c_SEQ_OLIMSEQ(X2,X3,X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_979]) ).

cnf(c_0_1448,plain,
    ( c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_980]) ).

cnf(c_0_1449,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    inference(split_conjunct,[status(thm)],[c_0_981]) ).

cnf(c_0_1450,plain,
    ( c_SEQ_OZseq(X2,X1)
    | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_982]) ).

cnf(c_0_1451,plain,
    ( c_Series_Osummable(X2,X1)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_983]) ).

cnf(c_0_1452,plain,
    ( X3 = X6
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(split_conjunct,[status(thm)],[c_0_984]) ).

cnf(c_0_1453,plain,
    ( c_SEQ_Odecseq(X1)
    | ~ c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat)) ),
    inference(split_conjunct,[status(thm)],[c_0_985]) ).

cnf(c_0_1454,plain,
    ( c_Lim_OisCont(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_986]) ).

cnf(c_0_1455,plain,
    ( c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_987]) ).

cnf(c_0_1456,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,X2,X2,X5),X4,X5,X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_988]) ).

cnf(c_0_1457,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2,X5),X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_989]) ).

cnf(c_0_1458,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2,X5),X4,X5,X2)
    | ~ class_Ring__and__Field_Osemiring__0(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_990]) ).

cnf(c_0_1459,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal)) = c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_991]) ).

cnf(c_0_1460,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_992]) ).

cnf(c_0_1461,plain,
    ( c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_993]) ).

cnf(c_0_1462,plain,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_994]) ).

cnf(c_0_1463,plain,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_995]) ).

cnf(c_0_1464,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_996]) ).

cnf(c_0_1465,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_997]) ).

cnf(c_0_1466,plain,
    ( c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_998]) ).

cnf(c_0_1467,plain,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_999]) ).

cnf(c_0_1468,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1000]) ).

cnf(c_0_1469,plain,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1001]) ).

cnf(c_0_1470,plain,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1002]) ).

cnf(c_0_1471,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1003]) ).

cnf(c_0_1472,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,X3,tc_Complex_Ocomplex)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1004]) ).

cnf(c_0_1473,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1005]) ).

cnf(c_0_1474,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1006]) ).

cnf(c_0_1475,plain,
    ( c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1007]) ).

cnf(c_0_1476,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1008]) ).

cnf(c_0_1477,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1009]) ).

cnf(c_0_1478,plain,
    ( c_Series_Osums(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1010]) ).

cnf(c_0_1479,plain,
    ( c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1011]) ).

cnf(c_0_1480,plain,
    ( c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1012]) ).

cnf(c_0_1481,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1013]) ).

cnf(c_0_1482,plain,
    ( c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1014]) ).

cnf(c_0_1483,plain,
    ( c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1015]) ).

cnf(c_0_1484,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1016]) ).

cnf(c_0_1485,plain,
    ( c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1017]) ).

cnf(c_0_1486,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1018]) ).

cnf(c_0_1487,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1019]) ).

cnf(c_0_1488,plain,
    ( hAPP(X1,c_Series_Osuminf(X4,X2)) = c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1020]) ).

cnf(c_0_1489,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1021]) ).

cnf(c_0_1490,plain,
    ( c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1022]) ).

cnf(c_0_1491,plain,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1023]) ).

cnf(c_0_1492,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2)) = c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1024]) ).

cnf(c_0_1493,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),c_Series_Osuminf(X1,X2)) = c_Series_Osuminf(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1025]) ).

cnf(c_0_1494,plain,
    ( c_SEQ_OLIMSEQ(c_Fun_Ocomp(X1,X4,tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ c_SEQ_Osubseq(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1026]) ).

cnf(c_0_1495,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X2),tc_Complex_Ocomplex)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1027]) ).

cnf(c_0_1496,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X2),tc_Complex_Ocomplex)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1028]) ).

cnf(c_0_1497,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1029]) ).

cnf(c_0_1498,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1030]) ).

cnf(c_0_1499,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1031]) ).

cnf(c_0_1500,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1032]) ).

cnf(c_0_1501,plain,
    ( c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1033]) ).

cnf(c_0_1502,plain,
    ( c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1034]) ).

cnf(c_0_1503,plain,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1035]) ).

cnf(c_0_1504,plain,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1036]) ).

cnf(c_0_1505,plain,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1037]) ).

cnf(c_0_1506,plain,
    ( hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal)) = c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1038]) ).

cnf(c_0_1507,plain,
    ( c_Series_Osummable(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1039]) ).

cnf(c_0_1508,plain,
    ( c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1040]) ).

cnf(c_0_1509,plain,
    ( c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1041]) ).

cnf(c_0_1510,plain,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1042]) ).

cnf(c_0_1511,plain,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1043]) ).

cnf(c_0_1512,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1044]) ).

cnf(c_0_1513,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1045]) ).

cnf(c_0_1514,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1046]) ).

cnf(c_0_1515,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1047]) ).

cnf(c_0_1516,plain,
    ( hAPP(c_Complex_Ocnj,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1048]) ).

cnf(c_0_1517,plain,
    ( hAPP(c_Complex_OIm,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1049]) ).

cnf(c_0_1518,plain,
    ( hAPP(c_Complex_ORe,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) = c_Series_Osuminf(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1050]) ).

cnf(c_0_1519,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1051]) ).

cnf(c_0_1520,plain,
    ( c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1052]) ).

cnf(c_0_1521,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1053]) ).

cnf(c_0_1522,plain,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1054]) ).

cnf(c_0_1523,plain,
    ( c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1055]) ).

cnf(c_0_1524,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1056]) ).

cnf(c_0_1525,plain,
    ( c_SEQ_OCauchy(c_Fun_Ocomp(X1,X3,tc_nat,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ c_SEQ_Osubseq(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1057]) ).

cnf(c_0_1526,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1058]) ).

cnf(c_0_1527,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1059]) ).

cnf(c_0_1528,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1060]) ).

cnf(c_0_1529,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1061]) ).

cnf(c_0_1530,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1062]) ).

cnf(c_0_1531,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1063]) ).

cnf(c_0_1532,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1064]) ).

cnf(c_0_1533,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1065]) ).

cnf(c_0_1534,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1066]) ).

cnf(c_0_1535,plain,
    ( c_SEQ_Omonoseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
    | ~ c_SEQ_Omonoseq(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1067]) ).

cnf(c_0_1536,plain,
    ( c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
    | ~ c_SEQ_Odecseq(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1068]) ).

cnf(c_0_1537,plain,
    ( c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1069]) ).

cnf(c_0_1538,plain,
    ( c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1070]) ).

cnf(c_0_1539,plain,
    ( c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1071]) ).

cnf(c_0_1540,plain,
    ( c_Lim_OLIM(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1072]) ).

cnf(c_0_1541,plain,
    ( c_Lim_OLIM(c_HOL_Otimes__class_Otimes(X1,X2),X3,hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1073]) ).

cnf(c_0_1542,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X4)),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X5),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X4),X5,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1074]) ).

cnf(c_0_1543,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(X4,X2),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1075]) ).

cnf(c_0_1544,plain,
    ( c_lessequals(X1,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X1,X4),tc_nat)
    | c_Series_Osummable(X2,X4)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1076]) ).

cnf(c_0_1545,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1077]) ).

cnf(c_0_1546,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1078]) ).

cnf(c_0_1547,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1079]) ).

cnf(c_0_1548,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1080]) ).

cnf(c_0_1549,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1081]) ).

cnf(c_0_1550,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1082]) ).

cnf(c_0_1551,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)),X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1083]) ).

cnf(c_0_1552,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1084]) ).

cnf(c_0_1553,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1085]) ).

cnf(c_0_1554,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1086]) ).

cnf(c_0_1555,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1087]) ).

cnf(c_0_1556,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1088]) ).

cnf(c_0_1557,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1089]) ).

cnf(c_0_1558,plain,
    ( c_lessequals(X1,X4,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),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_1090]) ).

cnf(c_0_1559,plain,
    ( c_lessequals(X3,X4,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1091]) ).

cnf(c_0_1560,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1092]) ).

cnf(c_0_1561,plain,
    ( c_lessequals(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1093]) ).

cnf(c_0_1562,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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1094]) ).

cnf(c_0_1563,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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1095]) ).

cnf(c_0_1564,plain,
    ( c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X6),hAPP(X1,X5),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat)
    | ~ c_lessequals(X5,X6,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1096]) ).

cnf(c_0_1565,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1097]) ).

cnf(c_0_1566,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1098]) ).

cnf(c_0_1567,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1099]) ).

cnf(c_0_1568,plain,
    ( 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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1100]) ).

cnf(c_0_1569,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1101]) ).

cnf(c_0_1570,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1102]) ).

cnf(c_0_1571,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3))
    | ~ 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_1103]) ).

cnf(c_0_1572,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3))
    | ~ 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_1104]) ).

cnf(c_0_1573,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3))
    | ~ 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_1105]) ).

cnf(c_0_1574,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3))
    | ~ 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_1106]) ).

cnf(c_0_1575,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1107]) ).

cnf(c_0_1576,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1108]) ).

cnf(c_0_1577,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_1109]) ).

cnf(c_0_1578,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_1110]) ).

cnf(c_0_1579,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),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_1111]) ).

cnf(c_0_1580,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),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_1112]) ).

cnf(c_0_1581,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),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_1113]) ).

cnf(c_0_1582,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_1114]) ).

cnf(c_0_1583,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1115]) ).

cnf(c_0_1584,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_1116]) ).

cnf(c_0_1585,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1),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_1117]) ).

cnf(c_0_1586,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X1),X2),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_1118]) ).

cnf(c_0_1587,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),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_1119]) ).

cnf(c_0_1588,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),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_1120]) ).

cnf(c_0_1589,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1121]) ).

cnf(c_0_1590,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_1122]) ).

cnf(c_0_1591,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_1123]) ).

cnf(c_0_1592,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),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_1124]) ).

cnf(c_0_1593,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_1125]) ).

cnf(c_0_1594,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1126]) ).

cnf(c_0_1595,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1127]) ).

cnf(c_0_1596,plain,
    ( c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1128]) ).

cnf(c_0_1597,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1129]) ).

cnf(c_0_1598,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),hAPP(c_HOL_Otimes__class_Otimes(X2,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(split_conjunct,[status(thm)],[c_0_1130]) ).

cnf(c_0_1599,plain,
    ( c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1131]) ).

cnf(c_0_1600,plain,
    ( c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(X2,hAPP(X1,X5),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1132]) ).

cnf(c_0_1601,plain,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1133]) ).

cnf(c_0_1602,plain,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1134]) ).

cnf(c_0_1603,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1135]) ).

cnf(c_0_1604,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1136]) ).

cnf(c_0_1605,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1137]) ).

cnf(c_0_1606,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1138]) ).

cnf(c_0_1607,plain,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1139]) ).

cnf(c_0_1608,plain,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1140]) ).

cnf(c_0_1609,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1141]) ).

cnf(c_0_1610,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1142]) ).

cnf(c_0_1611,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1143]) ).

cnf(c_0_1612,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),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(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1144]) ).

cnf(c_0_1613,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1145]) ).

cnf(c_0_1614,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1146]) ).

cnf(c_0_1615,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1147]) ).

cnf(c_0_1616,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1148]) ).

cnf(c_0_1617,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1149]) ).

cnf(c_0_1618,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1150]) ).

cnf(c_0_1619,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1151]) ).

cnf(c_0_1620,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1152]) ).

cnf(c_0_1621,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1153]) ).

cnf(c_0_1622,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1154]) ).

cnf(c_0_1623,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1155]) ).

cnf(c_0_1624,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1156]) ).

cnf(c_0_1625,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1157]) ).

cnf(c_0_1626,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),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_1158]) ).

cnf(c_0_1627,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1159]) ).

cnf(c_0_1628,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1160]) ).

cnf(c_0_1629,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1161]) ).

cnf(c_0_1630,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1162]) ).

cnf(c_0_1631,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1163]) ).

cnf(c_0_1632,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1164]) ).

cnf(c_0_1633,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1165]) ).

cnf(c_0_1634,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1166]) ).

cnf(c_0_1635,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1167]) ).

cnf(c_0_1636,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1168]) ).

cnf(c_0_1637,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1169]) ).

cnf(c_0_1638,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_RealVector_Oreal__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1170]) ).

cnf(c_0_1639,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X3),X1),X2) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2))
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1171]) ).

cnf(c_0_1640,plain,
    ( c_Lim_OisCont(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1172]) ).

cnf(c_0_1641,plain,
    ( c_Lim_OisCont(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1173]) ).

cnf(c_0_1642,plain,
    ( c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1174]) ).

cnf(c_0_1643,plain,
    ( c_lessequals(X3,X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1175]) ).

cnf(c_0_1644,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1176]) ).

cnf(c_0_1645,plain,
    ( hAPP(X1,hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X2),X5)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),hAPP(X1,X5))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1177]) ).

cnf(c_0_1646,plain,
    ( c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | c_lessequals(X2,hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1178]) ).

cnf(c_0_1647,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1179]) ).

cnf(c_0_1648,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1180]) ).

cnf(c_0_1649,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1181]) ).

cnf(c_0_1650,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1182]) ).

cnf(c_0_1651,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1183]) ).

cnf(c_0_1652,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1184]) ).

cnf(c_0_1653,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1185]) ).

cnf(c_0_1654,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1186]) ).

cnf(c_0_1655,plain,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1187]) ).

cnf(c_0_1656,plain,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1188]) ).

cnf(c_0_1657,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1189]) ).

cnf(c_0_1658,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1190]) ).

cnf(c_0_1659,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1191]) ).

cnf(c_0_1660,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_RealVector_Oreal__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1192]) ).

cnf(c_0_1661,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1193]) ).

cnf(c_0_1662,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1194]) ).

cnf(c_0_1663,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1195]) ).

cnf(c_0_1664,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_1196]) ).

cnf(c_0_1665,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_1197]) ).

cnf(c_0_1666,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_1198]) ).

cnf(c_0_1667,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_1199]) ).

cnf(c_0_1668,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_1200]) ).

cnf(c_0_1669,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_1201]) ).

cnf(c_0_1670,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_1202]) ).

cnf(c_0_1671,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_1203]) ).

cnf(c_0_1672,plain,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1204]) ).

cnf(c_0_1673,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1205]) ).

cnf(c_0_1674,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1206]) ).

cnf(c_0_1675,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1207]) ).

cnf(c_0_1676,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1208]) ).

cnf(c_0_1677,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1209]) ).

cnf(c_0_1678,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),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1210]) ).

cnf(c_0_1679,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1211]) ).

cnf(c_0_1680,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1212]) ).

cnf(c_0_1681,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1213]) ).

cnf(c_0_1682,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_1214]) ).

cnf(c_0_1683,plain,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1215]) ).

cnf(c_0_1684,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1216]) ).

cnf(c_0_1685,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1217]) ).

cnf(c_0_1686,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1218]) ).

cnf(c_0_1687,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1219]) ).

cnf(c_0_1688,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1220]) ).

cnf(c_0_1689,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1221]) ).

cnf(c_0_1690,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1222]) ).

cnf(c_0_1691,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1223]) ).

cnf(c_0_1692,plain,
    ( c_lessequals(X2,X3,X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1224]) ).

cnf(c_0_1693,plain,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1225]) ).

cnf(c_0_1694,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_1226]) ).

cnf(c_0_1695,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_1227]) ).

cnf(c_0_1696,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_1228]) ).

cnf(c_0_1697,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_1229]) ).

cnf(c_0_1698,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_1230]) ).

cnf(c_0_1699,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1231]) ).

cnf(c_0_1700,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1232]) ).

cnf(c_0_1701,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1233]) ).

cnf(c_0_1702,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1234]) ).

cnf(c_0_1703,plain,
    ( c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_SEQ_Oincseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1235]) ).

cnf(c_0_1704,plain,
    ( c_lessequals(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_Odecseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1236]) ).

cnf(c_0_1705,plain,
    ( c_HOL_Oord__class_Oless(hAPP(X1,X2),hAPP(X1,X3),tc_nat)
    | ~ c_SEQ_Osubseq(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1237]) ).

cnf(c_0_1706,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_1238]) ).

cnf(c_0_1707,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_1239]) ).

cnf(c_0_1708,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_1240]) ).

cnf(c_0_1709,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_1241]) ).

cnf(c_0_1710,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_1242]) ).

cnf(c_0_1711,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(split_conjunct,[status(thm)],[c_0_1243]) ).

cnf(c_0_1712,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1244]) ).

cnf(c_0_1713,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1245]) ).

cnf(c_0_1714,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1246]) ).

cnf(c_0_1715,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1247]) ).

cnf(c_0_1716,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1248]) ).

cnf(c_0_1717,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1249]) ).

cnf(c_0_1718,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1250]) ).

cnf(c_0_1719,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1251]) ).

cnf(c_0_1720,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1252]) ).

cnf(c_0_1721,plain,
    ( X2 = X4
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1253]) ).

cnf(c_0_1722,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1254]) ).

cnf(c_0_1723,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_1255]) ).

cnf(c_0_1724,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_1256]) ).

cnf(c_0_1725,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_1257]) ).

cnf(c_0_1726,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_1258]) ).

cnf(c_0_1727,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_1259]) ).

cnf(c_0_1728,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_1260]) ).

cnf(c_0_1729,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_1261]) ).

cnf(c_0_1730,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_1262]) ).

cnf(c_0_1731,plain,
    ( c_lessequals(X2,hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_SEQ_Odecseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1263]) ).

cnf(c_0_1732,plain,
    ( c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Oincseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1264]) ).

cnf(c_0_1733,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1265]) ).

cnf(c_0_1734,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1266]) ).

cnf(c_0_1735,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1267]) ).

cnf(c_0_1736,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1268]) ).

cnf(c_0_1737,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_Oof__real(X2),X1),X2),X3)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1269]) ).

cnf(c_0_1738,plain,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1270]) ).

cnf(c_0_1739,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1271]) ).

cnf(c_0_1740,plain,
    ( X1 = X2
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X1) != hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X2)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1272]) ).

cnf(c_0_1741,plain,
    ( c_Lim_OisUCont(X1,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1273]) ).

cnf(c_0_1742,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(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(split_conjunct,[status(thm)],[c_0_1274]) ).

cnf(c_0_1743,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_1275]) ).

cnf(c_0_1744,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_1276]) ).

cnf(c_0_1745,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_1277]) ).

cnf(c_0_1746,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_1278]) ).

cnf(c_0_1747,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_1279]) ).

cnf(c_0_1748,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_1280]) ).

cnf(c_0_1749,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_1281]) ).

cnf(c_0_1750,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_1282]) ).

cnf(c_0_1751,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_1283]) ).

cnf(c_0_1752,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_1284]) ).

cnf(c_0_1753,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1285]) ).

cnf(c_0_1754,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ 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_1286]) ).

cnf(c_0_1755,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ 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_1287]) ).

cnf(c_0_1756,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ 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_1288]) ).

cnf(c_0_1757,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X4),X3) != hAPP(c_RealVector_OscaleR__class_OscaleR(X2,X4),X3)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1289]) ).

cnf(c_0_1758,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1290]) ).

cnf(c_0_1759,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1291]) ).

cnf(c_0_1760,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1292]) ).

cnf(c_0_1761,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X1) != hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X2)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1293]) ).

cnf(c_0_1762,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1294]) ).

cnf(c_0_1763,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1295]) ).

cnf(c_0_1764,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1296]) ).

cnf(c_0_1765,plain,
    ( hAPP(c_RealVector_Oof__real(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_RealVector_Oof__real(X1),X2))
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1297]) ).

cnf(c_0_1766,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = 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_1298]) ).

cnf(c_0_1767,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = 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_1299]) ).

cnf(c_0_1768,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_1300]) ).

cnf(c_0_1769,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_1301]) ).

cnf(c_0_1770,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_1302]) ).

cnf(c_0_1771,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_1303]) ).

cnf(c_0_1772,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_1304]) ).

cnf(c_0_1773,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1305]) ).

cnf(c_0_1774,plain,
    ( hAPP(c_RealVector_Oof__real(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_RealVector_Oof__real(X1),X2))
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1306]) ).

cnf(c_0_1775,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_1307]) ).

cnf(c_0_1776,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_1308]) ).

cnf(c_0_1777,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_1309]) ).

cnf(c_0_1778,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_1310]) ).

cnf(c_0_1779,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1311]) ).

cnf(c_0_1780,plain,
    ( c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(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_1312]) ).

cnf(c_0_1781,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1313]) ).

cnf(c_0_1782,plain,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1314]) ).

cnf(c_0_1783,plain,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1315]) ).

cnf(c_0_1784,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1316]) ).

cnf(c_0_1785,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1317]) ).

cnf(c_0_1786,plain,
    ( X2 = c_Series_Osuminf(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1318]) ).

cnf(c_0_1787,plain,
    ( c_Series_Osuminf(X1,X3) = X2
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1319]) ).

cnf(c_0_1788,plain,
    ( c_SEQ_OCauchy(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1320]) ).

cnf(c_0_1789,plain,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1321]) ).

cnf(c_0_1790,plain,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1322]) ).

cnf(c_0_1791,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(split_conjunct,[status(thm)],[c_0_1323]) ).

cnf(c_0_1792,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(split_conjunct,[status(thm)],[c_0_1324]) ).

cnf(c_0_1793,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1325]) ).

cnf(c_0_1794,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(X1),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1326]) ).

cnf(c_0_1795,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1327]) ).

cnf(c_0_1796,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X3)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1328]) ).

cnf(c_0_1797,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),c_HOL_Ozero__class_Ozero(X2))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1329]) ).

cnf(c_0_1798,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1330]) ).

cnf(c_0_1799,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1331]) ).

cnf(c_0_1800,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1332]) ).

cnf(c_0_1801,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1333]) ).

cnf(c_0_1802,plain,
    ( c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1334]) ).

cnf(c_0_1803,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = X1
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1335]) ).

cnf(c_0_1804,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1336]) ).

cnf(c_0_1805,plain,
    ( c_RealVector_Obounded__linear(c_HOL_Otimes__class_Otimes(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1337]) ).

cnf(c_0_1806,plain,
    ( c_Lim_OisUCont(c_HOL_Otimes__class_Otimes(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1338]) ).

cnf(c_0_1807,plain,
    ( c_Lim_OisUCont(c_RealVector_OscaleR__class_OscaleR(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1339]) ).

cnf(c_0_1808,plain,
    ( c_RealVector_Obounded__linear(c_RealVector_OscaleR__class_OscaleR(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1340]) ).

cnf(c_0_1809,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1341]) ).

cnf(c_0_1810,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1342]) ).

cnf(c_0_1811,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1343]) ).

cnf(c_0_1812,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1344]) ).

cnf(c_0_1813,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1345]) ).

cnf(c_0_1814,plain,
    ( c_lessequals(X2,hAPP(X1,X2),tc_nat)
    | ~ c_SEQ_Osubseq(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1346]) ).

cnf(c_0_1815,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X3),X2) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1347]) ).

cnf(c_0_1816,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Oabs__class_Oabs(X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1348]) ).

cnf(c_0_1817,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)) = hAPP(c_HOL_Oabs__class_Oabs(X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1349]) ).

cnf(c_0_1818,plain,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X1),X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1350]) ).

cnf(c_0_1819,plain,
    ( X1 = X2
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1351]) ).

cnf(c_0_1820,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1352]) ).

cnf(c_0_1821,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1353]) ).

cnf(c_0_1822,plain,
    ( X1 = X2
    | hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1354]) ).

cnf(c_0_1823,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1355]) ).

cnf(c_0_1824,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1356]) ).

cnf(c_0_1825,plain,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1))
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1357]) ).

cnf(c_0_1826,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1358]) ).

cnf(c_0_1827,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1359]) ).

cnf(c_0_1828,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1360]) ).

cnf(c_0_1829,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1361]) ).

cnf(c_0_1830,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1362]) ).

cnf(c_0_1831,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1363]) ).

cnf(c_0_1832,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1364]) ).

cnf(c_0_1833,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1365]) ).

cnf(c_0_1834,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1366]) ).

cnf(c_0_1835,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1367]) ).

cnf(c_0_1836,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1368]) ).

cnf(c_0_1837,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1369]) ).

cnf(c_0_1838,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1370]) ).

cnf(c_0_1839,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1371]) ).

cnf(c_0_1840,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1372]) ).

cnf(c_0_1841,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1373]) ).

cnf(c_0_1842,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1374]) ).

cnf(c_0_1843,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1375]) ).

cnf(c_0_1844,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1376]) ).

cnf(c_0_1845,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X3) ),
    inference(split_conjunct,[status(thm)],[c_0_1377]) ).

cnf(c_0_1846,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1378]) ).

cnf(c_0_1847,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1379]) ).

cnf(c_0_1848,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | c_HOL_Ozero__class_Ozero(X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1380]) ).

cnf(c_0_1849,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1381]) ).

cnf(c_0_1850,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1382]) ).

cnf(c_0_1851,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1383]) ).

cnf(c_0_1852,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X1) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1384]) ).

cnf(c_0_1853,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1385]) ).

cnf(c_0_1854,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    inference(split_conjunct,[status(thm)],[c_0_1386]) ).

cnf(c_0_1855,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1387]) ).

cnf(c_0_1856,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1388]) ).

cnf(c_0_1857,plain,
    ( X1 = X2
    | hAPP(c_Complex_Ocnj,X1) != hAPP(c_Complex_Ocnj,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_1389]) ).

cnf(c_0_1858,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1390]) ).

cnf(c_0_1859,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1))
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1391]) ).

cnf(c_0_1860,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1392]) ).

cnf(c_0_1861,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1393]) ).

cnf(c_0_1862,plain,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1394]) ).

cnf(c_0_1863,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1395]) ).

cnf(c_0_1864,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1396]) ).

cnf(c_0_1865,plain,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1397]) ).

cnf(c_0_1866,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1398]) ).

cnf(c_0_1867,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1399]) ).

cnf(c_0_1868,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1400]) ).

cnf(c_0_1869,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | hAPP(c_Complex_Ocnj,X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(split_conjunct,[status(thm)],[c_0_1401]) ).

cnf(c_0_1870,plain,
    ( c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_Oincseq(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1402]) ).

cnf(c_0_1871,plain,
    ( c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_Odecseq(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_1403]) ).

cnf(c_0_1872,plain,
    ( v_thesis____
    | ~ c_SEQ_Osubseq(X1)
    | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X1,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    c_0_1404,
    [final] ).

cnf(c_0_1873,plain,
    ( c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_Series_Osuminf(X2,X1)),c_Series_Osuminf(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    c_0_1405,
    [final] ).

cnf(c_0_1874,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1406,
    [final] ).

cnf(c_0_1875,plain,
    ( c_Lim_OLIM(c_Fun_Ocomp(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1407,
    [final] ).

cnf(c_0_1876,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1408,
    [final] ).

cnf(c_0_1877,plain,
    ( c_Limits_Otendsto(X2,X4,X5,X3,X1)
    | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1409,
    [final] ).

cnf(c_0_1878,plain,
    ( c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1410,
    [final] ).

cnf(c_0_1879,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X4),X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1411,
    [final] ).

cnf(c_0_1880,plain,
    ( c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X4),X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1412,
    [final] ).

cnf(c_0_1881,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1413,
    [final] ).

cnf(c_0_1882,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    c_0_1414,
    [final] ).

cnf(c_0_1883,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),X2,hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1415,
    [final] ).

cnf(c_0_1884,plain,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    c_0_1416,
    [final] ).

cnf(c_0_1885,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1417,
    [final] ).

cnf(c_0_1886,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1418,
    [final] ).

cnf(c_0_1887,plain,
    ( c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1419,
    [final] ).

cnf(c_0_1888,plain,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1420,
    [final] ).

cnf(c_0_1889,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1421,
    [final] ).

cnf(c_0_1890,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1422,
    [final] ).

cnf(c_0_1891,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1423,
    [final] ).

cnf(c_0_1892,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1424,
    [final] ).

cnf(c_0_1893,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1425,
    [final] ).

cnf(c_0_1894,plain,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1426,
    [final] ).

cnf(c_0_1895,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1427,
    [final] ).

cnf(c_0_1896,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1428,
    [final] ).

cnf(c_0_1897,plain,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1429,
    [final] ).

cnf(c_0_1898,plain,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    c_0_1430,
    [final] ).

cnf(c_0_1899,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1431,
    [final] ).

cnf(c_0_1900,plain,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1432,
    [final] ).

cnf(c_0_1901,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X4),X2,hAPP(c_Complex_Ocnj,X3),X4,tc_Complex_Ocomplex)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    c_0_1433,
    [final] ).

cnf(c_0_1902,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    c_0_1434,
    [final] ).

cnf(c_0_1903,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    c_0_1435,
    [final] ).

cnf(c_0_1904,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X4),hAPP(c_Complex_Ocnj,X2),X3,X4,tc_Complex_Ocomplex)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    c_0_1436,
    [final] ).

cnf(c_0_1905,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_OIm,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    c_0_1437,
    [final] ).

cnf(c_0_1906,plain,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_ORe,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    c_0_1438,
    [final] ).

cnf(c_0_1907,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1439,
    [final] ).

cnf(c_0_1908,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1440,
    [final] ).

cnf(c_0_1909,plain,
    ( c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1441,
    [final] ).

cnf(c_0_1910,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1442,
    [final] ).

cnf(c_0_1911,plain,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    c_0_1443,
    [final] ).

cnf(c_0_1912,plain,
    ( c_Series_Osummable(X2,X1)
    | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(X2,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1))),hAPP(X3,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1)),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    c_0_1444,
    [final] ).

cnf(c_0_1913,plain,
    ( hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    c_0_1445,
    [final] ).

cnf(c_0_1914,plain,
    ( c_Limits_OZfun(X2,X4,X3,X1)
    | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1446,
    [final] ).

cnf(c_0_1915,plain,
    ( c_SEQ_OLIMSEQ(X2,X3,X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1447,
    [final] ).

cnf(c_0_1916,plain,
    ( c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1448,
    [final] ).

cnf(c_0_1917,plain,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    c_0_1449,
    [final] ).

cnf(c_0_1918,plain,
    ( c_SEQ_OZseq(X2,X1)
    | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1450,
    [final] ).

cnf(c_0_1919,plain,
    ( c_Series_Osummable(X2,X1)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    c_0_1451,
    [final] ).

cnf(c_0_1920,plain,
    ( X3 = X6
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    c_0_1452,
    [final] ).

cnf(c_0_1921,plain,
    ( c_SEQ_Odecseq(X1)
    | ~ c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat)) ),
    c_0_1453,
    [final] ).

cnf(c_0_1922,plain,
    ( c_Lim_OisCont(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1454,
    [final] ).

cnf(c_0_1923,plain,
    ( c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1455,
    [final] ).

cnf(c_0_1924,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,X2,X2,X5),X4,X5,X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2))
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_1456,
    [final] ).

cnf(c_0_1925,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2,X5),X4,X5,X2) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1457,
    [final] ).

cnf(c_0_1926,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2,X5),X4,X5,X2) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2))
    | ~ class_Ring__and__Field_Osemiring__0(X2) ),
    c_0_1458,
    [final] ).

cnf(c_0_1927,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1) = hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1459,
    [final] ).

cnf(c_0_1928,plain,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    c_0_1460,
    [final] ).

cnf(c_0_1929,plain,
    ( c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1461,
    [final] ).

cnf(c_0_1930,plain,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_1462,
    [final] ).

cnf(c_0_1931,plain,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    c_0_1463,
    [final] ).

cnf(c_0_1932,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1464,
    [final] ).

cnf(c_0_1933,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1465,
    [final] ).

cnf(c_0_1934,plain,
    ( c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1466,
    [final] ).

cnf(c_0_1935,plain,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1467,
    [final] ).

cnf(c_0_1936,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1468,
    [final] ).

cnf(c_0_1937,plain,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1469,
    [final] ).

cnf(c_0_1938,plain,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1470,
    [final] ).

cnf(c_0_1939,plain,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    c_0_1471,
    [final] ).

cnf(c_0_1940,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,X3,tc_Complex_Ocomplex)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    c_0_1472,
    [final] ).

cnf(c_0_1941,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    c_0_1473,
    [final] ).

cnf(c_0_1942,plain,
    ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    c_0_1474,
    [final] ).

cnf(c_0_1943,plain,
    ( c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    c_0_1475,
    [final] ).

cnf(c_0_1944,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1476,
    [final] ).

cnf(c_0_1945,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1477,
    [final] ).

cnf(c_0_1946,plain,
    ( c_Series_Osums(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1478,
    [final] ).

cnf(c_0_1947,plain,
    ( c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1479,
    [final] ).

cnf(c_0_1948,plain,
    ( c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    c_0_1480,
    [final] ).

cnf(c_0_1949,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1481,
    [final] ).

cnf(c_0_1950,plain,
    ( c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1482,
    [final] ).

cnf(c_0_1951,plain,
    ( c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1483,
    [final] ).

cnf(c_0_1952,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1484,
    [final] ).

cnf(c_0_1953,plain,
    ( c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1485,
    [final] ).

cnf(c_0_1954,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1486,
    [final] ).

cnf(c_0_1955,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1487,
    [final] ).

cnf(c_0_1956,plain,
    ( c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1488,
    [final] ).

cnf(c_0_1957,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1489,
    [final] ).

cnf(c_0_1958,plain,
    ( c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    c_0_1490,
    [final] ).

cnf(c_0_1959,plain,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1491,
    [final] ).

cnf(c_0_1960,plain,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1492,
    [final] ).

cnf(c_0_1961,plain,
    ( c_Series_Osuminf(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1493,
    [final] ).

cnf(c_0_1962,plain,
    ( c_SEQ_OLIMSEQ(c_Fun_Ocomp(X1,X4,tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ c_SEQ_Osubseq(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1494,
    [final] ).

cnf(c_0_1963,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X2),tc_Complex_Ocomplex)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1495,
    [final] ).

cnf(c_0_1964,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X2),tc_Complex_Ocomplex)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1496,
    [final] ).

cnf(c_0_1965,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1497,
    [final] ).

cnf(c_0_1966,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1498,
    [final] ).

cnf(c_0_1967,plain,
    ( c_Series_Osums(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1499,
    [final] ).

cnf(c_0_1968,plain,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    c_0_1500,
    [final] ).

cnf(c_0_1969,plain,
    ( c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1501,
    [final] ).

cnf(c_0_1970,plain,
    ( c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1502,
    [final] ).

cnf(c_0_1971,plain,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1503,
    [final] ).

cnf(c_0_1972,plain,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1504,
    [final] ).

cnf(c_0_1973,plain,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1505,
    [final] ).

cnf(c_0_1974,plain,
    ( c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal))
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1506,
    [final] ).

cnf(c_0_1975,plain,
    ( c_Series_Osummable(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1507,
    [final] ).

cnf(c_0_1976,plain,
    ( c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1508,
    [final] ).

cnf(c_0_1977,plain,
    ( c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1509,
    [final] ).

cnf(c_0_1978,plain,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1510,
    [final] ).

cnf(c_0_1979,plain,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1511,
    [final] ).

cnf(c_0_1980,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1512,
    [final] ).

cnf(c_0_1981,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1513,
    [final] ).

cnf(c_0_1982,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1514,
    [final] ).

cnf(c_0_1983,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1515,
    [final] ).

cnf(c_0_1984,plain,
    ( c_Series_Osuminf(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) = hAPP(c_Complex_Ocnj,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1516,
    [final] ).

cnf(c_0_1985,plain,
    ( c_Series_Osuminf(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_OIm,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1517,
    [final] ).

cnf(c_0_1986,plain,
    ( c_Series_Osuminf(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_ORe,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1518,
    [final] ).

cnf(c_0_1987,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1519,
    [final] ).

cnf(c_0_1988,plain,
    ( c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1520,
    [final] ).

cnf(c_0_1989,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1521,
    [final] ).

cnf(c_0_1990,plain,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1522,
    [final] ).

cnf(c_0_1991,plain,
    ( c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1523,
    [final] ).

cnf(c_0_1992,plain,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1524,
    [final] ).

cnf(c_0_1993,plain,
    ( c_SEQ_OCauchy(c_Fun_Ocomp(X1,X3,tc_nat,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ c_SEQ_Osubseq(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1525,
    [final] ).

cnf(c_0_1994,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    c_0_1526,
    [final] ).

cnf(c_0_1995,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    c_0_1527,
    [final] ).

cnf(c_0_1996,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1528,
    [final] ).

cnf(c_0_1997,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1529,
    [final] ).

cnf(c_0_1998,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    c_0_1530,
    [final] ).

cnf(c_0_1999,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    c_0_1531,
    [final] ).

cnf(c_0_2000,plain,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    c_0_1532,
    [final] ).

cnf(c_0_2001,plain,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    c_0_1533,
    [final] ).

cnf(c_0_2002,plain,
    ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    c_0_1534,
    [final] ).

cnf(c_0_2003,plain,
    ( c_SEQ_Omonoseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
    | ~ c_SEQ_Omonoseq(X1) ),
    c_0_1535,
    [final] ).

cnf(c_0_2004,plain,
    ( c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
    | ~ c_SEQ_Odecseq(X1) ),
    c_0_1536,
    [final] ).

cnf(c_0_2005,plain,
    ( c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1537,
    [final] ).

cnf(c_0_2006,plain,
    ( c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1538,
    [final] ).

cnf(c_0_2007,plain,
    ( c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1539,
    [final] ).

cnf(c_0_2008,plain,
    ( c_Lim_OLIM(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1540,
    [final] ).

cnf(c_0_2009,plain,
    ( c_Lim_OLIM(c_HOL_Otimes__class_Otimes(X1,X2),X3,hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1541,
    [final] ).

cnf(c_0_2010,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X4)),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X5),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X4),X5,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1542,
    [final] ).

cnf(c_0_2011,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(X4,X2),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1543,
    [final] ).

cnf(c_0_2012,plain,
    ( c_lessequals(X1,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X1,X4),tc_nat)
    | c_Series_Osummable(X2,X4)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X4) ),
    c_0_1544,
    [final] ).

cnf(c_0_2013,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1545,
    [final] ).

cnf(c_0_2014,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1546,
    [final] ).

cnf(c_0_2015,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1547,
    [final] ).

cnf(c_0_2016,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1548,
    [final] ).

cnf(c_0_2017,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1549,
    [final] ).

cnf(c_0_2018,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_1550,
    [final] ).

cnf(c_0_2019,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)),X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    c_0_1551,
    [final] ).

cnf(c_0_2020,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1552,
    [final] ).

cnf(c_0_2021,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1553,
    [final] ).

cnf(c_0_2022,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    c_0_1554,
    [final] ).

cnf(c_0_2023,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    c_0_1555,
    [final] ).

cnf(c_0_2024,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    c_0_1556,
    [final] ).

cnf(c_0_2025,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    c_0_1557,
    [final] ).

cnf(c_0_2026,plain,
    ( c_lessequals(X1,X4,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    c_0_1558,
    [final] ).

cnf(c_0_2027,plain,
    ( c_lessequals(X3,X4,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    c_0_1559,
    [final] ).

cnf(c_0_2028,plain,
    ( c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_1560,
    [final] ).

cnf(c_0_2029,plain,
    ( c_lessequals(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1561,
    [final] ).

cnf(c_0_2030,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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_1562,
    [final] ).

cnf(c_0_2031,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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1563,
    [final] ).

cnf(c_0_2032,plain,
    ( c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X6),hAPP(X1,X5),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat)
    | ~ c_lessequals(X5,X6,tc_nat) ),
    c_0_1564,
    [final] ).

cnf(c_0_2033,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1565,
    [final] ).

cnf(c_0_2034,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1566,
    [final] ).

cnf(c_0_2035,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1567,
    [final] ).

cnf(c_0_2036,plain,
    ( 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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1568,
    [final] ).

cnf(c_0_2037,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1569,
    [final] ).

cnf(c_0_2038,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1570,
    [final] ).

cnf(c_0_2039,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ 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_1571,
    [final] ).

cnf(c_0_2040,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ 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_1572,
    [final] ).

cnf(c_0_2041,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ 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_1573,
    [final] ).

cnf(c_0_2042,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ 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_1574,
    [final] ).

cnf(c_0_2043,plain,
    ( c_HOL_Oord__class_Oless(X3,X4,X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1575,
    [final] ).

cnf(c_0_2044,plain,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1576,
    [final] ).

cnf(c_0_2045,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_1577,
    [final] ).

cnf(c_0_2046,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_1578,
    [final] ).

cnf(c_0_2047,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),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_1579,
    [final] ).

cnf(c_0_2048,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),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_1580,
    [final] ).

cnf(c_0_2049,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),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_1581,
    [final] ).

cnf(c_0_2050,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_1582,
    [final] ).

cnf(c_0_2051,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1583,
    [final] ).

cnf(c_0_2052,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_1584,
    [final] ).

cnf(c_0_2053,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1),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_1585,
    [final] ).

cnf(c_0_2054,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X1),X2),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_1586,
    [final] ).

cnf(c_0_2055,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),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_1587,
    [final] ).

cnf(c_0_2056,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),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_1588,
    [final] ).

cnf(c_0_2057,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1589,
    [final] ).

cnf(c_0_2058,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_1590,
    [final] ).

cnf(c_0_2059,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_1591,
    [final] ).

cnf(c_0_2060,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),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_1592,
    [final] ).

cnf(c_0_2061,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_1593,
    [final] ).

cnf(c_0_2062,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1594,
    [final] ).

cnf(c_0_2063,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1595,
    [final] ).

cnf(c_0_2064,plain,
    ( c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    c_0_1596,
    [final] ).

cnf(c_0_2065,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_1597,
    [final] ).

cnf(c_0_2066,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_1598,
    [final] ).

cnf(c_0_2067,plain,
    ( c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    c_0_1599,
    [final] ).

cnf(c_0_2068,plain,
    ( c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(X2,hAPP(X1,X5),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat) ),
    c_0_1600,
    [final] ).

cnf(c_0_2069,plain,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1601,
    [final] ).

cnf(c_0_2070,plain,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    c_0_1602,
    [final] ).

cnf(c_0_2071,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_1603,
    [final] ).

cnf(c_0_2072,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_1604,
    [final] ).

cnf(c_0_2073,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_1605,
    [final] ).

cnf(c_0_2074,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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_1606,
    [final] ).

cnf(c_0_2075,plain,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1607,
    [final] ).

cnf(c_0_2076,plain,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1608,
    [final] ).

cnf(c_0_2077,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1609,
    [final] ).

cnf(c_0_2078,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1610,
    [final] ).

cnf(c_0_2079,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    c_0_1611,
    [final] ).

cnf(c_0_2080,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),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(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_1612,
    [final] ).

cnf(c_0_2081,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_1613,
    [final] ).

cnf(c_0_2082,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1614,
    [final] ).

cnf(c_0_2083,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1615,
    [final] ).

cnf(c_0_2084,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1616,
    [final] ).

cnf(c_0_2085,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1617,
    [final] ).

cnf(c_0_2086,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1618,
    [final] ).

cnf(c_0_2087,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1619,
    [final] ).

cnf(c_0_2088,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1620,
    [final] ).

cnf(c_0_2089,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1621,
    [final] ).

cnf(c_0_2090,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1622,
    [final] ).

cnf(c_0_2091,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    c_0_1623,
    [final] ).

cnf(c_0_2092,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_1624,
    [final] ).

cnf(c_0_2093,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    c_0_1625,
    [final] ).

cnf(c_0_2094,plain,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),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_1626,
    [final] ).

cnf(c_0_2095,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    c_0_1627,
    [final] ).

cnf(c_0_2096,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_1628,
    [final] ).

cnf(c_0_2097,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_1629,
    [final] ).

cnf(c_0_2098,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    c_0_1630,
    [final] ).

cnf(c_0_2099,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    c_0_1631,
    [final] ).

cnf(c_0_2100,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
    c_0_1632,
    [final] ).

cnf(c_0_2101,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1633,
    [final] ).

cnf(c_0_2102,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1634,
    [final] ).

cnf(c_0_2103,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1635,
    [final] ).

cnf(c_0_2104,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1636,
    [final] ).

cnf(c_0_2105,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1637,
    [final] ).

cnf(c_0_2106,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_RealVector_Oreal__algebra(X2) ),
    c_0_1638,
    [final] ).

cnf(c_0_2107,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X3),X1),X2) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2))
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1639,
    [final] ).

cnf(c_0_2108,plain,
    ( c_Lim_OisCont(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1640,
    [final] ).

cnf(c_0_2109,plain,
    ( c_Lim_OisCont(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1641,
    [final] ).

cnf(c_0_2110,plain,
    ( c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1642,
    [final] ).

cnf(c_0_2111,plain,
    ( c_lessequals(X3,X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1643,
    [final] ).

cnf(c_0_2112,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1644,
    [final] ).

cnf(c_0_2113,plain,
    ( hAPP(X1,hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X2),X5)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),hAPP(X1,X5))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1645,
    [final] ).

cnf(c_0_2114,plain,
    ( c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | c_lessequals(X2,hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    c_0_1646,
    [final] ).

cnf(c_0_2115,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1647,
    [final] ).

cnf(c_0_2116,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1648,
    [final] ).

cnf(c_0_2117,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1649,
    [final] ).

cnf(c_0_2118,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1650,
    [final] ).

cnf(c_0_2119,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1651,
    [final] ).

cnf(c_0_2120,plain,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1652,
    [final] ).

cnf(c_0_2121,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1653,
    [final] ).

cnf(c_0_2122,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1654,
    [final] ).

cnf(c_0_2123,plain,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1655,
    [final] ).

cnf(c_0_2124,plain,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1656,
    [final] ).

cnf(c_0_2125,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1657,
    [final] ).

cnf(c_0_2126,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1658,
    [final] ).

cnf(c_0_2127,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1659,
    [final] ).

cnf(c_0_2128,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_RealVector_Oreal__algebra(X2) ),
    c_0_1660,
    [final] ).

cnf(c_0_2129,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1661,
    [final] ).

cnf(c_0_2130,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4))
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_1662,
    [final] ).

cnf(c_0_2131,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1663,
    [final] ).

cnf(c_0_2132,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_1664,
    [final] ).

cnf(c_0_2133,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_1665,
    [final] ).

cnf(c_0_2134,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_1666,
    [final] ).

cnf(c_0_2135,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_1667,
    [final] ).

cnf(c_0_2136,plain,
    ( c_lessequals(X1,X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X4,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1668,
    [final] ).

cnf(c_0_2137,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_1669,
    [final] ).

cnf(c_0_2138,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_1670,
    [final] ).

cnf(c_0_2139,plain,
    ( c_lessequals(X4,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X4,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1671,
    [final] ).

cnf(c_0_2140,plain,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    c_0_1672,
    [final] ).

cnf(c_0_2141,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1673,
    [final] ).

cnf(c_0_2142,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    c_0_1674,
    [final] ).

cnf(c_0_2143,plain,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1675,
    [final] ).

cnf(c_0_2144,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1676,
    [final] ).

cnf(c_0_2145,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1677,
    [final] ).

cnf(c_0_2146,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),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    c_0_1678,
    [final] ).

cnf(c_0_2147,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1679,
    [final] ).

cnf(c_0_2148,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1680,
    [final] ).

cnf(c_0_2149,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_1681,
    [final] ).

cnf(c_0_2150,plain,
    ( c_lessequals(X1,X3,tc_RealDef_Oreal)
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_RealDef_Oreal) ),
    c_0_1682,
    [final] ).

cnf(c_0_2151,plain,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    c_0_1683,
    [final] ).

cnf(c_0_2152,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_1684,
    [final] ).

cnf(c_0_2153,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_1685,
    [final] ).

cnf(c_0_2154,plain,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_1686,
    [final] ).

cnf(c_0_2155,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_1687,
    [final] ).

cnf(c_0_2156,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_1688,
    [final] ).

cnf(c_0_2157,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_1689,
    [final] ).

cnf(c_0_2158,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_1690,
    [final] ).

cnf(c_0_2159,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1691,
    [final] ).

cnf(c_0_2160,plain,
    ( c_lessequals(X2,X3,X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1692,
    [final] ).

cnf(c_0_2161,plain,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1693,
    [final] ).

cnf(c_0_2162,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_1694,
    [final] ).

cnf(c_0_2163,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1695,
    [final] ).

cnf(c_0_2164,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_1696,
    [final] ).

cnf(c_0_2165,plain,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_1697,
    [final] ).

cnf(c_0_2166,plain,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    c_0_1698,
    [final] ).

cnf(c_0_2167,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    c_0_1699,
    [final] ).

cnf(c_0_2168,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_1700,
    [final] ).

cnf(c_0_2169,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    c_0_1701,
    [final] ).

cnf(c_0_2170,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_1702,
    [final] ).

cnf(c_0_2171,plain,
    ( c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_SEQ_Oincseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    c_0_1703,
    [final] ).

cnf(c_0_2172,plain,
    ( c_lessequals(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_Odecseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    c_0_1704,
    [final] ).

cnf(c_0_2173,plain,
    ( c_HOL_Oord__class_Oless(hAPP(X1,X2),hAPP(X1,X3),tc_nat)
    | ~ c_SEQ_Osubseq(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    c_0_1705,
    [final] ).

cnf(c_0_2174,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    c_0_1706,
    [final] ).

cnf(c_0_2175,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    c_0_1707,
    [final] ).

cnf(c_0_2176,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_1708,
    [final] ).

cnf(c_0_2177,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_1709,
    [final] ).

cnf(c_0_2178,plain,
    ( c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    c_0_1710,
    [final] ).

cnf(c_0_2179,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    c_0_1711,
    [final] ).

cnf(c_0_2180,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1712,
    [final] ).

cnf(c_0_2181,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1713,
    [final] ).

cnf(c_0_2182,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X2,X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    c_0_1714,
    [final] ).

cnf(c_0_2183,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_1715,
    [final] ).

cnf(c_0_2184,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1716,
    [final] ).

cnf(c_0_2185,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1717,
    [final] ).

cnf(c_0_2186,plain,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1718,
    [final] ).

cnf(c_0_2187,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1719,
    [final] ).

cnf(c_0_2188,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1720,
    [final] ).

cnf(c_0_2189,plain,
    ( X2 = X4
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1721,
    [final] ).

cnf(c_0_2190,plain,
    ( X2 = X1
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1722,
    [final] ).

cnf(c_0_2191,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1723,
    [final] ).

cnf(c_0_2192,plain,
    ( ~ c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1724,
    [final] ).

cnf(c_0_2193,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1725,
    [final] ).

cnf(c_0_2194,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1726,
    [final] ).

cnf(c_0_2195,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1727,
    [final] ).

cnf(c_0_2196,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1728,
    [final] ).

cnf(c_0_2197,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1729,
    [final] ).

cnf(c_0_2198,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1730,
    [final] ).

cnf(c_0_2199,plain,
    ( c_lessequals(X2,hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_SEQ_Odecseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    c_0_1731,
    [final] ).

cnf(c_0_2200,plain,
    ( c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Oincseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    c_0_1732,
    [final] ).

cnf(c_0_2201,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_1733,
    [final] ).

cnf(c_0_2202,plain,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    c_0_1734,
    [final] ).

cnf(c_0_2203,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1735,
    [final] ).

cnf(c_0_2204,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    c_0_1736,
    [final] ).

cnf(c_0_2205,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_Oof__real(X2),X1),X2),X3) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    c_0_1737,
    [final] ).

cnf(c_0_2206,plain,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1738,
    [final] ).

cnf(c_0_2207,plain,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1739,
    [final] ).

cnf(c_0_2208,plain,
    ( X1 = X2
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X1) != hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X2)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    c_0_1740,
    [final] ).

cnf(c_0_2209,plain,
    ( c_Lim_OisUCont(X1,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1741,
    [final] ).

cnf(c_0_2210,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(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) ),
    c_0_1742,
    [final] ).

cnf(c_0_2211,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1743,
    [final] ).

cnf(c_0_2212,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1744,
    [final] ).

cnf(c_0_2213,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1745,
    [final] ).

cnf(c_0_2214,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1746,
    [final] ).

cnf(c_0_2215,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1747,
    [final] ).

cnf(c_0_2216,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | X1 = X2
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1748,
    [final] ).

cnf(c_0_2217,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1749,
    [final] ).

cnf(c_0_2218,plain,
    ( X2 = X1
    | c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1750,
    [final] ).

cnf(c_0_2219,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Oorder(X3) ),
    c_0_1751,
    [final] ).

cnf(c_0_2220,plain,
    ( c_lessequals(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_Orderings_Opreorder(X3) ),
    c_0_1752,
    [final] ).

cnf(c_0_2221,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    c_0_1753,
    [final] ).

cnf(c_0_2222,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1754,
    [final] ).

cnf(c_0_2223,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    c_0_1755,
    [final] ).

cnf(c_0_2224,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1756,
    [final] ).

cnf(c_0_2225,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X4),X3) != hAPP(c_RealVector_OscaleR__class_OscaleR(X2,X4),X3)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_1757,
    [final] ).

cnf(c_0_2226,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_1758,
    [final] ).

cnf(c_0_2227,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_1759,
    [final] ).

cnf(c_0_2228,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    c_0_1760,
    [final] ).

cnf(c_0_2229,plain,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X1) != hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X2)
    | ~ class_RealVector_Oreal__vector(X4) ),
    c_0_1761,
    [final] ).

cnf(c_0_2230,plain,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1762,
    [final] ).

cnf(c_0_2231,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_1763,
    [final] ).

cnf(c_0_2232,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    c_0_1764,
    [final] ).

cnf(c_0_2233,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_RealVector_Oof__real(X1),X2)) = hAPP(c_RealVector_Oof__real(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2))
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1765,
    [final] ).

cnf(c_0_2234,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = X2
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1766,
    [final] ).

cnf(c_0_2235,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = X2
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1767,
    [final] ).

cnf(c_0_2236,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_1768,
    [final] ).

cnf(c_0_2237,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_1769,
    [final] ).

cnf(c_0_2238,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_1770,
    [final] ).

cnf(c_0_2239,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_1771,
    [final] ).

cnf(c_0_2240,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_1772,
    [final] ).

cnf(c_0_2241,plain,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1773,
    [final] ).

cnf(c_0_2242,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_RealVector_Oof__real(X1),X2)) = hAPP(c_RealVector_Oof__real(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2))
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    c_0_1774,
    [final] ).

cnf(c_0_2243,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1775,
    [final] ).

cnf(c_0_2244,plain,
    ( c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1776,
    [final] ).

cnf(c_0_2245,plain,
    ( c_lessequals(X1,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1777,
    [final] ).

cnf(c_0_2246,plain,
    ( c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1778,
    [final] ).

cnf(c_0_2247,plain,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    c_0_1779,
    [final] ).

cnf(c_0_2248,plain,
    ( c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1780,
    [final] ).

cnf(c_0_2249,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1781,
    [final] ).

cnf(c_0_2250,plain,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1782,
    [final] ).

cnf(c_0_2251,plain,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1783,
    [final] ).

cnf(c_0_2252,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    c_0_1784,
    [final] ).

cnf(c_0_2253,plain,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    c_0_1785,
    [final] ).

cnf(c_0_2254,plain,
    ( X2 = c_Series_Osuminf(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1786,
    [final] ).

cnf(c_0_2255,plain,
    ( c_Series_Osuminf(X1,X3) = X2
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1787,
    [final] ).

cnf(c_0_2256,plain,
    ( c_SEQ_OCauchy(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    c_0_1788,
    [final] ).

cnf(c_0_2257,plain,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1789,
    [final] ).

cnf(c_0_2258,plain,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    c_0_1790,
    [final] ).

cnf(c_0_2259,plain,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    c_0_1791,
    [final] ).

cnf(c_0_2260,plain,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    c_0_1792,
    [final] ).

cnf(c_0_2261,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1793,
    [final] ).

cnf(c_0_2262,plain,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(X1),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1794,
    [final] ).

cnf(c_0_2263,plain,
    ( c_lessequals(X1,hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1795,
    [final] ).

cnf(c_0_2264,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X3)
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1796,
    [final] ).

cnf(c_0_2265,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),c_HOL_Ozero__class_Ozero(X2))
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_1797,
    [final] ).

cnf(c_0_2266,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1798,
    [final] ).

cnf(c_0_2267,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    c_0_1799,
    [final] ).

cnf(c_0_2268,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_1800,
    [final] ).

cnf(c_0_2269,plain,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_1801,
    [final] ).

cnf(c_0_2270,plain,
    ( c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1802,
    [final] ).

cnf(c_0_2271,plain,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = X1
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    c_0_1803,
    [final] ).

cnf(c_0_2272,plain,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    c_0_1804,
    [final] ).

cnf(c_0_2273,plain,
    ( c_RealVector_Obounded__linear(c_HOL_Otimes__class_Otimes(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1805,
    [final] ).

cnf(c_0_2274,plain,
    ( c_Lim_OisUCont(c_HOL_Otimes__class_Otimes(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1806,
    [final] ).

cnf(c_0_2275,plain,
    ( c_Lim_OisUCont(c_RealVector_OscaleR__class_OscaleR(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1807,
    [final] ).

cnf(c_0_2276,plain,
    ( c_RealVector_Obounded__linear(c_RealVector_OscaleR__class_OscaleR(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1808,
    [final] ).

cnf(c_0_2277,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    c_0_1809,
    [final] ).

cnf(c_0_2278,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    c_0_1810,
    [final] ).

cnf(c_0_2279,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    c_0_1811,
    [final] ).

cnf(c_0_2280,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1812,
    [final] ).

cnf(c_0_2281,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1813,
    [final] ).

cnf(c_0_2282,plain,
    ( c_lessequals(X2,hAPP(X1,X2),tc_nat)
    | ~ c_SEQ_Osubseq(X1) ),
    c_0_1814,
    [final] ).

cnf(c_0_2283,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X3),X2) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    c_0_1815,
    [final] ).

cnf(c_0_2284,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Oabs__class_Oabs(X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1816,
    [final] ).

cnf(c_0_2285,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)) = hAPP(c_HOL_Oabs__class_Oabs(X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1817,
    [final] ).

cnf(c_0_2286,plain,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X1),X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1818,
    [final] ).

cnf(c_0_2287,plain,
    ( X1 = X2
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    c_0_1819,
    [final] ).

cnf(c_0_2288,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    c_0_1820,
    [final] ).

cnf(c_0_2289,plain,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    c_0_1821,
    [final] ).

cnf(c_0_2290,plain,
    ( X1 = X2
    | hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    c_0_1822,
    [final] ).

cnf(c_0_2291,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1823,
    [final] ).

cnf(c_0_2292,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1824,
    [final] ).

cnf(c_0_2293,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1825,
    [final] ).

cnf(c_0_2294,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_1826,
    [final] ).

cnf(c_0_2295,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1827,
    [final] ).

cnf(c_0_2296,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1828,
    [final] ).

cnf(c_0_2297,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1829,
    [final] ).

cnf(c_0_2298,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    c_0_1830,
    [final] ).

cnf(c_0_2299,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    c_0_1831,
    [final] ).

cnf(c_0_2300,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    c_0_1832,
    [final] ).

cnf(c_0_2301,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    c_0_1833,
    [final] ).

cnf(c_0_2302,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    c_0_1834,
    [final] ).

cnf(c_0_2303,plain,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    c_0_1835,
    [final] ).

cnf(c_0_2304,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1836,
    [final] ).

cnf(c_0_2305,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1837,
    [final] ).

cnf(c_0_2306,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    c_0_1838,
    [final] ).

cnf(c_0_2307,plain,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    c_0_1839,
    [final] ).

cnf(c_0_2308,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    c_0_1840,
    [final] ).

cnf(c_0_2309,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1841,
    [final] ).

cnf(c_0_2310,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    c_0_1842,
    [final] ).

cnf(c_0_2311,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2) ),
    c_0_1843,
    [final] ).

cnf(c_0_2312,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    c_0_1844,
    [final] ).

cnf(c_0_2313,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X3) ),
    c_0_1845,
    [final] ).

cnf(c_0_2314,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2) ),
    c_0_1846,
    [final] ).

cnf(c_0_2315,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    c_0_1847,
    [final] ).

cnf(c_0_2316,plain,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1848,
    [final] ).

cnf(c_0_2317,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    c_0_1849,
    [final] ).

cnf(c_0_2318,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    c_0_1850,
    [final] ).

cnf(c_0_2319,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    c_0_1851,
    [final] ).

cnf(c_0_2320,plain,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X1) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    c_0_1852,
    [final] ).

cnf(c_0_2321,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    c_0_1853,
    [final] ).

cnf(c_0_2322,plain,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    c_0_1854,
    [final] ).

cnf(c_0_2323,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    c_0_1855,
    [final] ).

cnf(c_0_2324,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1856,
    [final] ).

cnf(c_0_2325,plain,
    ( X1 = X2
    | hAPP(c_Complex_Ocnj,X1) != hAPP(c_Complex_Ocnj,X2) ),
    c_0_1857,
    [final] ).

cnf(c_0_2326,plain,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    c_0_1858,
    [final] ).

cnf(c_0_2327,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1859,
    [final] ).

cnf(c_0_2328,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    c_0_1860,
    [final] ).

cnf(c_0_2329,plain,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    c_0_1861,
    [final] ).

cnf(c_0_2330,plain,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    c_0_1862,
    [final] ).

cnf(c_0_2331,plain,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    c_0_1863,
    [final] ).

cnf(c_0_2332,plain,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    c_0_1864,
    [final] ).

cnf(c_0_2333,plain,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    c_0_1865,
    [final] ).

cnf(c_0_2334,plain,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    c_0_1866,
    [final] ).

cnf(c_0_2335,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    c_0_1867,
    [final] ).

cnf(c_0_2336,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    c_0_1868,
    [final] ).

cnf(c_0_2337,plain,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | hAPP(c_Complex_Ocnj,X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    c_0_1869,
    [final] ).

cnf(c_0_2338,plain,
    ( c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_Oincseq(X1) ),
    c_0_1870,
    [final] ).

cnf(c_0_2339,plain,
    ( c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_Odecseq(X1) ),
    c_0_1871,
    [final] ).

% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_1872_0,axiom,
    ( v_thesis____
    | ~ c_SEQ_Osubseq(X1)
    | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X1,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_1872]) ).

cnf(c_0_1872_1,axiom,
    ( ~ c_SEQ_Osubseq(X1)
    | v_thesis____
    | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X1,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_1872]) ).

cnf(c_0_1872_2,axiom,
    ( ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X1,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
    | ~ c_SEQ_Osubseq(X1)
    | v_thesis____ ),
    inference(literals_permutation,[status(thm)],[c_0_1872]) ).

cnf(c_0_1873_0,axiom,
    ( c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_Series_Osuminf(X2,X1)),c_Series_Osuminf(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1873]) ).

cnf(c_0_1873_1,axiom,
    ( ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_Series_Osuminf(X2,X1)),c_Series_Osuminf(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1873]) ).

cnf(c_0_1873_2,axiom,
    ( ~ class_SEQ_Obanach(X1)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_Series_Osuminf(X2,X1)),c_Series_Osuminf(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1873]) ).

cnf(c_0_1874_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1874]) ).

cnf(c_0_1874_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | hAPP(c_HOL_Oabs__class_Oabs(X1),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1)) = c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1874]) ).

cnf(c_0_1875_0,axiom,
    ( c_Lim_OLIM(c_Fun_Ocomp(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1875_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_Fun_Ocomp(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1875_2,axiom,
    ( ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_Fun_Ocomp(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1875_3,axiom,
    ( ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_Fun_Ocomp(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1875_4,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_Fun_Ocomp(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1875_5,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_Fun_Ocomp(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1875]) ).

cnf(c_0_1876_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1876_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1876_2,axiom,
    ( ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1876_3,axiom,
    ( ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1876_4,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1876_5,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1876]) ).

cnf(c_0_1877_0,axiom,
    ( c_Limits_Otendsto(X2,X4,X5,X3,X1)
    | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1877]) ).

cnf(c_0_1877_1,axiom,
    ( ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | c_Limits_Otendsto(X2,X4,X5,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1877]) ).

cnf(c_0_1877_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X4),X5,X3,X1)
    | c_Limits_Otendsto(X2,X4,X5,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1877]) ).

cnf(c_0_1878_0,axiom,
    ( c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1878]) ).

cnf(c_0_1878_1,axiom,
    ( ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1878]) ).

cnf(c_0_1878_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1878]) ).

cnf(c_0_1878_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(X2,X4,c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1878]) ).

cnf(c_0_1879_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X4),X3,X4,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1879]) ).

cnf(c_0_1879_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X4),X3,X4,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1879]) ).

cnf(c_0_1880_0,axiom,
    ( c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X4),X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1880]) ).

cnf(c_0_1880_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_Finite__Set_Osetsum(X2,X3,X4,X1)),c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X4),X3,X4,tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1880]) ).

cnf(c_0_1881_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_2,axiom,
    ( ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_3,axiom,
    ( ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_4,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1881_5,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X5,X6,X2,X7,X3)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(c_COMBB(X1,X5,X3,X4,X7),X6,hAPP(X1,X2),X7,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1881]) ).

cnf(c_0_1882_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X3),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X3),X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1882_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X3),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1882]) ).

cnf(c_0_1883_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),X2,hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1883_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),X2,hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X3),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1883_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),X2,hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X3),X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1883_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),X2,hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X3),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1883]) ).

cnf(c_0_1884_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1884_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1884_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Otimes__class_Otimes(X6,X5),X1,X5,X5,X4),hAPP(c_HOL_Otimes__class_Otimes(X6,X5),X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1884]) ).

cnf(c_0_1885_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1885]) ).

cnf(c_0_1885_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1885]) ).

cnf(c_0_1885_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X6,X5),X1,X5,X5,X4),hAPP(c_RealVector_OscaleR__class_OscaleR(X6,X5),X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1885]) ).

cnf(c_0_1886_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1886_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1886_2,axiom,
    ( ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1886_3,axiom,
    ( ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1886_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1886_5,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X7)
    | ~ c_Lim_OLIM(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X7),X5,hAPP(X1,X6),X7,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1886]) ).

cnf(c_0_1887_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1887]) ).

cnf(c_0_1887_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1887]) ).

cnf(c_0_1887_2,axiom,
    ( ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1887]) ).

cnf(c_0_1887_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1887]) ).

cnf(c_0_1887_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Limits_Otendsto(X4,X5,X6,X7,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_Otendsto(c_COMBB(X1,X4,X2,X3,X7),hAPP(X1,X5),X6,X7,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1887]) ).

cnf(c_0_1888_0,axiom,
    ( c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1888_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1888_2,axiom,
    ( ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1888_3,axiom,
    ( ~ class_RealVector_Ometric__space(X6)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1888_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1888_5,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ c_Lim_OLIM(X4,X5,c_HOL_Ozero__class_Ozero(X2),X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(c_COMBB(X1,X4,X2,X3,X6),X5,c_HOL_Ozero__class_Ozero(X3),X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1888]) ).

cnf(c_0_1889_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1889]) ).

cnf(c_0_1889_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1889]) ).

cnf(c_0_1889_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1889]) ).

cnf(c_0_1889_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1889]) ).

cnf(c_0_1890_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1890_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1890_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1890_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1890]) ).

cnf(c_0_1891_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1891_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1891_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1891_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1891]) ).

cnf(c_0_1892_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1892_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1892_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1892_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X3),X1,X3,X3,X4),X2,c_HOL_Ozero__class_Ozero(X3),X4,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1892]) ).

cnf(c_0_1893_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_3,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1893_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),X2,hAPP(c_RealVector_Oof__real(X5),X3),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1893]) ).

cnf(c_0_1894_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1894]) ).

cnf(c_0_1894_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1894]) ).

cnf(c_0_1894_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1894]) ).

cnf(c_0_1894_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),X2,hAPP(c_HOL_Ouminus__class_Ouminus(X5),X3),X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1894]) ).

cnf(c_0_1895_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1895_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1895_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1895_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),X2,hAPP(c_RealVector_Onorm__class_Onorm(X5),X3),X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1895]) ).

cnf(c_0_1896_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1896]) ).

cnf(c_0_1896_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1896]) ).

cnf(c_0_1896_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1896]) ).

cnf(c_0_1896_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ class_RealVector_Oreal__algebra__1(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_RealDef_Oreal)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Oof__real(X5),X1,tc_RealDef_Oreal,X5,X4),hAPP(c_RealVector_Oof__real(X5),X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1896]) ).

cnf(c_0_1897_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1897]) ).

cnf(c_0_1897_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1897]) ).

cnf(c_0_1897_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_HOL_Ouminus__class_Ouminus(X5),X1,X5,X5,X4),hAPP(c_HOL_Ouminus__class_Ouminus(X5),X2),X3,X4,X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1897]) ).

cnf(c_0_1898_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1898]) ).

cnf(c_0_1898_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1898]) ).

cnf(c_0_1898_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X5)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,X5)
    | c_Limits_Otendsto(c_COMBB(c_RealVector_Onorm__class_Onorm(X5),X1,X5,tc_RealDef_Oreal,X4),hAPP(c_RealVector_Onorm__class_Onorm(X5),X2),X3,X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1898]) ).

cnf(c_0_1899_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1899_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1899_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1899_3,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1899_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,c_HOL_Ozero__class_Ozero(X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1899]) ).

cnf(c_0_1900_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1900]) ).

cnf(c_0_1900_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1900]) ).

cnf(c_0_1900_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1900]) ).

cnf(c_0_1900_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | c_Lim_OLIM(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,X4),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1900]) ).

cnf(c_0_1901_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X4),X2,hAPP(c_Complex_Ocnj,X3),X4,tc_Complex_Ocomplex)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1901]) ).

cnf(c_0_1901_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X4),X2,hAPP(c_Complex_Ocnj,X3),X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1901]) ).

cnf(c_0_1901_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X4),X2,hAPP(c_Complex_Ocnj,X3),X4,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1901]) ).

cnf(c_0_1902_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1902]) ).

cnf(c_0_1902_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1902]) ).

cnf(c_0_1902_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_OIm,X3),X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1902]) ).

cnf(c_0_1903_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1903]) ).

cnf(c_0_1903_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1903]) ).

cnf(c_0_1903_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),X2,hAPP(c_Complex_ORe,X3),X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1903]) ).

cnf(c_0_1904_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X4),hAPP(c_Complex_Ocnj,X2),X3,X4,tc_Complex_Ocomplex)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1904]) ).

cnf(c_0_1904_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Limits_Otendsto(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X4),hAPP(c_Complex_Ocnj,X2),X3,X4,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1904]) ).

cnf(c_0_1905_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_OIm,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1905]) ).

cnf(c_0_1905_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Limits_Otendsto(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_OIm,X2),X3,X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1905]) ).

cnf(c_0_1906_0,axiom,
    ( c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_ORe,X2),X3,X4,tc_RealDef_Oreal)
    | ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1906_1,axiom,
    ( ~ c_Limits_Otendsto(X1,X2,X3,X4,tc_Complex_Ocomplex)
    | c_Limits_Otendsto(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X4),hAPP(c_Complex_ORe,X2),X3,X4,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1906]) ).

cnf(c_0_1907_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1907_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1907_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1907]) ).

cnf(c_0_1908_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1908_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1908_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1908]) ).

cnf(c_0_1909_0,axiom,
    ( c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1909]) ).

cnf(c_0_1909_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1909]) ).

cnf(c_0_1909_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OLIM(X1,X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex)
    | c_Lim_OLIM(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex),X3,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1909]) ).

cnf(c_0_1910_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1910]) ).

cnf(c_0_1910_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),c_Finite__Set_Osetsum(c_COMBB(c_HOL_Oabs__class_Oabs(X1),X2,X1,X1,X3),X4,X3,X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1910]) ).

cnf(c_0_1911_0,axiom,
    ( hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11)
    | hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11)) ),
    inference(literals_permutation,[status(thm)],[c_0_1911]) ).

cnf(c_0_1911_1,axiom,
    ( hAPP(X1,hAPP(X2,X6)) != hAPP(X7,hAPP(X8,X11))
    | hAPP(c_Fun_Ocomp(X1,X2,X3,X4,X5),X6) = hAPP(c_Fun_Ocomp(X7,X8,X9,X4,X10),X11) ),
    inference(literals_permutation,[status(thm)],[c_0_1911]) ).

cnf(c_0_1912_0,axiom,
    ( c_Series_Osummable(X2,X1)
    | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(X2,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1))),hAPP(X3,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1)),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1912]) ).

cnf(c_0_1912_1,axiom,
    ( ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(X2,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1))),hAPP(X3,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1)),tc_RealDef_Oreal)
    | c_Series_Osummable(X2,X1)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1912]) ).

cnf(c_0_1912_2,axiom,
    ( ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(X2,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1))),hAPP(X3,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1)),tc_RealDef_Oreal)
    | c_Series_Osummable(X2,X1)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1912]) ).

cnf(c_0_1912_3,axiom,
    ( ~ class_SEQ_Obanach(X1)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(X2,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1))),hAPP(X3,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X4,X1)),tc_RealDef_Oreal)
    | c_Series_Osummable(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1912]) ).

cnf(c_0_1913_0,axiom,
    ( hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1913_1,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1913_2,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1913_3,axiom,
    ( ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1913_4,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1913_5,axiom,
    ( ~ class_RealVector_Ometric__space(X5)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_SEQ_OLIMSEQ(X6,X2,X4)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X6,X4,X5,tc_nat),X3,X5)
    | hAPP(X6,c_Lim_Osko__Lim__XLIMSEQ__SEQ__conv1__1__1(X6,X2,X4)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_1913]) ).

cnf(c_0_1914_0,axiom,
    ( c_Limits_OZfun(X2,X4,X3,X1)
    | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1914]) ).

cnf(c_0_1914_1,axiom,
    ( ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(X2,X4,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1914]) ).

cnf(c_0_1914_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,X3),X4,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(X2,X4,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1914]) ).

cnf(c_0_1915_0,axiom,
    ( c_SEQ_OLIMSEQ(X2,X3,X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1915]) ).

cnf(c_0_1915_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_SEQ_OLIMSEQ(X2,X3,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1915]) ).

cnf(c_0_1915_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_SEQ_OLIMSEQ(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1915]) ).

cnf(c_0_1916_0,axiom,
    ( c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1916]) ).

cnf(c_0_1916_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1916]) ).

cnf(c_0_1916_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1916]) ).

cnf(c_0_1917_0,axiom,
    ( hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3))
    | c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8) ),
    inference(literals_permutation,[status(thm)],[c_0_1917]) ).

cnf(c_0_1917_1,axiom,
    ( c_Fun_Ocomp(X1,X2,X6,X7,X8) != c_Fun_Ocomp(X4,X5,X9,X7,X8)
    | hAPP(X1,hAPP(X2,X3)) = hAPP(X4,hAPP(X5,X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_1917]) ).

cnf(c_0_1918_0,axiom,
    ( c_SEQ_OZseq(X2,X1)
    | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1918]) ).

cnf(c_0_1918_1,axiom,
    ( ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_SEQ_OZseq(X2,X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1918]) ).

cnf(c_0_1918_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_SEQ_OZseq(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1918]) ).

cnf(c_0_1919_0,axiom,
    ( c_Series_Osummable(X2,X1)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1919]) ).

cnf(c_0_1919_1,axiom,
    ( ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_Series_Osummable(X2,X1)
    | ~ class_SEQ_Obanach(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1919]) ).

cnf(c_0_1919_2,axiom,
    ( ~ class_SEQ_Obanach(X1)
    | ~ c_Series_Osummable(c_COMBB(c_RealVector_Onorm__class_Onorm(X1),X2,X1,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | c_Series_Osummable(X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1919]) ).

cnf(c_0_1920_0,axiom,
    ( X3 = X6
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1920_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | X3 = X6
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1920_2,axiom,
    ( ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | X3 = X6
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1920_3,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | X3 = X6
    | ~ class_RealVector_Ometric__space(X5) ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1920_4,axiom,
    ( ~ class_RealVector_Ometric__space(X5)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OLIM(X1,X2,X6,X4,X5)
    | ~ c_Lim_OLIM(X1,X2,X3,X4,X5)
    | X3 = X6 ),
    inference(literals_permutation,[status(thm)],[c_0_1920]) ).

cnf(c_0_1921_0,axiom,
    ( c_SEQ_Odecseq(X1)
    | ~ c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_1921]) ).

cnf(c_0_1921_1,axiom,
    ( ~ c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
    | c_SEQ_Odecseq(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1921]) ).

cnf(c_0_1922_0,axiom,
    ( c_Lim_OisCont(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1922_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1922_2,axiom,
    ( ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1922_3,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1922_4,axiom,
    ( ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1922_5,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_Fun_Ocomp(X5,X1,X4,X6,X3),X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1922]) ).

cnf(c_0_1923_0,axiom,
    ( c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1923_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1923_2,axiom,
    ( ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1923_3,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1923_4,axiom,
    ( ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1923_5,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X6)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X5,hAPP(X1,X2),X4,X6)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(X5,X1,X4,X6,X3),X2,X3,X6) ),
    inference(literals_permutation,[status(thm)],[c_0_1923]) ).

cnf(c_0_1924_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,X2,X2,X5),X4,X5,X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1924]) ).

cnf(c_0_1924_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | c_Finite__Set_Osetsum(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,X2,X2,X5),X4,X5,X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1924]) ).

cnf(c_0_1925_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2,X5),X4,X5,X2) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1925]) ).

cnf(c_0_1925_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2,X5),X4,X5,X2) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1925]) ).

cnf(c_0_1926_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2,X5),X4,X5,X2) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2))
    | ~ class_Ring__and__Field_Osemiring__0(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1926]) ).

cnf(c_0_1926_1,axiom,
    ( ~ class_Ring__and__Field_Osemiring__0(X2)
    | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2,X5),X4,X5,X2) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_Finite__Set_Osetsum(X3,X4,X5,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1926]) ).

cnf(c_0_1927_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1) = hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1927]) ).

cnf(c_0_1927_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1) = hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1927]) ).

cnf(c_0_1927_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | c_Finite__Set_Osetsum(c_COMBB(c_RealVector_Oof__real(X1),X2,tc_RealDef_Oreal,X1,X4),X3,X4,X1) = hAPP(c_RealVector_Oof__real(X1),c_Finite__Set_Osetsum(X2,X3,X4,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_1927]) ).

cnf(c_0_1928_0,axiom,
    ( c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1))
    | ~ class_OrderedGroup_Oab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1928_1,axiom,
    ( ~ class_OrderedGroup_Oab__group__add(X1)
    | c_Finite__Set_Osetsum(c_COMBB(c_HOL_Ouminus__class_Ouminus(X1),X2,X1,X1,X3),X4,X3,X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_Finite__Set_Osetsum(X2,X4,X3,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_1928]) ).

cnf(c_0_1929_0,axiom,
    ( c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1929_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1929_2,axiom,
    ( ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1929_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1929_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Limits_OZfun(X4,X5,X6,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Limits_OZfun(c_COMBB(X1,X4,X2,X3,X6),X5,X6,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1929]) ).

cnf(c_0_1930_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1930_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1930_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1930]) ).

cnf(c_0_1931_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1931_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1931_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_HOL_Otimes__class_Otimes(X5,X4),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1931]) ).

cnf(c_0_1932_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1932]) ).

cnf(c_0_1932_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1932]) ).

cnf(c_0_1932_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1932]) ).

cnf(c_0_1933_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1933_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1933_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X5,X4),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1933]) ).

cnf(c_0_1934_0,axiom,
    ( c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1934_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1934_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1934_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1934]) ).

cnf(c_0_1935_0,axiom,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1935]) ).

cnf(c_0_1935_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1935]) ).

cnf(c_0_1935_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1935]) ).

cnf(c_0_1935_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1935]) ).

cnf(c_0_1936_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1936]) ).

cnf(c_0_1936_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1936]) ).

cnf(c_0_1936_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1936]) ).

cnf(c_0_1936_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ class_RealVector_Oreal__algebra__1(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_RealDef_Oreal)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1936]) ).

cnf(c_0_1937_0,axiom,
    ( c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1937]) ).

cnf(c_0_1937_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1937]) ).

cnf(c_0_1937_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1937]) ).

cnf(c_0_1937_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Oreal__normed__algebra__1(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,tc_RealDef_Oreal)
    | c_Lim_OisCont(c_COMBB(c_RealVector_Oof__real(X4),X1,tc_RealDef_Oreal,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1937]) ).

cnf(c_0_1938_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1938_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1938_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_HOL_Ouminus__class_Ouminus(X4),X1,X4,X4,X3),X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1938]) ).

cnf(c_0_1939_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1939]) ).

cnf(c_0_1939_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1939]) ).

cnf(c_0_1939_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X4)
    | ~ c_Limits_OZfun(X1,X2,X3,X4)
    | c_Limits_OZfun(c_COMBB(c_RealVector_Onorm__class_Onorm(X4),X1,X4,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1939]) ).

cnf(c_0_1940_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,X3,tc_Complex_Ocomplex)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1940]) ).

cnf(c_0_1940_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex)
    | c_Limits_OZfun(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,X3),X2,X3,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1940]) ).

cnf(c_0_1941_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1941]) ).

cnf(c_0_1941_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex)
    | c_Limits_OZfun(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1941]) ).

cnf(c_0_1942_0,axiom,
    ( c_Limits_OZfun(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal)
    | ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1942]) ).

cnf(c_0_1942_1,axiom,
    ( ~ c_Limits_OZfun(X1,X2,X3,tc_Complex_Ocomplex)
    | c_Limits_OZfun(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,X3),X2,X3,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1942]) ).

cnf(c_0_1943_0,axiom,
    ( c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1943_1,axiom,
    ( ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1943_2,axiom,
    ( ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4)
    | ~ class_RealVector_Oreal__normed__field(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1943_3,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X4)
    | ~ c_Deriv_Odifferentiable(X2,X3,X4)
    | ~ c_Deriv_Odifferentiable(X1,hAPP(X2,X3),X4)
    | c_Deriv_Odifferentiable(c_COMBB(X1,X2,X4,X4,X4),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_1943]) ).

cnf(c_0_1944_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1944]) ).

cnf(c_0_1944_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1944]) ).

cnf(c_0_1944_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1944]) ).

cnf(c_0_1945_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1945_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1945_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1945]) ).

cnf(c_0_1946_0,axiom,
    ( c_Series_Osums(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1946]) ).

cnf(c_0_1946_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1946]) ).

cnf(c_0_1946_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X4,X3),X1,X3,X3,tc_nat),hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1946]) ).

cnf(c_0_1947_0,axiom,
    ( c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1947]) ).

cnf(c_0_1947_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1947]) ).

cnf(c_0_1947_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1947]) ).

cnf(c_0_1948_0,axiom,
    ( c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1948]) ).

cnf(c_0_1948_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1948]) ).

cnf(c_0_1948_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_HOL_Otimes__class_Otimes(X4,X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1948]) ).

cnf(c_0_1949_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1949_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1949_2,axiom,
    ( ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1949_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1949_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1949]) ).

cnf(c_0_1950_0,axiom,
    ( c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1950_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1950_2,axiom,
    ( ~ c_Series_Osums(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1950_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1950_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X4,X5,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osums(c_COMBB(X1,X4,X2,X3,tc_nat),hAPP(X1,X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1950]) ).

cnf(c_0_1951_0,axiom,
    ( c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1951_1,axiom,
    ( ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1951_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1951_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ c_Series_Osums(X1,X2,tc_RealDef_Oreal)
    | c_Series_Osums(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1951]) ).

cnf(c_0_1952_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1952_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1952_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1952_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__algebra__1(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Oof__real(X3),X1,tc_RealDef_Oreal,X3,tc_nat),hAPP(c_RealVector_Oof__real(X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1952]) ).

cnf(c_0_1953_0,axiom,
    ( c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1953]) ).

cnf(c_0_1953_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1953]) ).

cnf(c_0_1953_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osums(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1953]) ).

cnf(c_0_1954_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1954]) ).

cnf(c_0_1954_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1954]) ).

cnf(c_0_1954_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,tc_nat),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1954]) ).

cnf(c_0_1955_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1955]) ).

cnf(c_0_1955_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1955]) ).

cnf(c_0_1955_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X3),X1,X3,tc_RealDef_Oreal,tc_nat),hAPP(c_RealVector_Onorm__class_Onorm(X3),X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1955]) ).

cnf(c_0_1956_0,axiom,
    ( c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1956]) ).

cnf(c_0_1956_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1956]) ).

cnf(c_0_1956_2,axiom,
    ( ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1956]) ).

cnf(c_0_1956_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1956]) ).

cnf(c_0_1956_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osuminf(c_COMBB(X1,X4,X2,X3,tc_nat),X3) = hAPP(X1,c_Series_Osuminf(X4,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1956]) ).

cnf(c_0_1957_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1957]) ).

cnf(c_0_1957_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1957]) ).

cnf(c_0_1957_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_SEQ_OLIMSEQ(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1957]) ).

cnf(c_0_1958_0,axiom,
    ( c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1958_1,axiom,
    ( ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3)
    | ~ class_RealVector_Oreal__normed__field(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1958_2,axiom,
    ( ~ class_RealVector_Oreal__normed__field(X3)
    | ~ c_Deriv_Odifferentiable(X1,X2,X3)
    | c_Deriv_Odifferentiable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X3),X1,X3,X3,X3),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1958]) ).

cnf(c_0_1959_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1959_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1959_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1959]) ).

cnf(c_0_1960_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1960_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1960_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),c_Series_Osuminf(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1960]) ).

cnf(c_0_1961_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1961]) ).

cnf(c_0_1961_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),c_Series_Osuminf(X1,X2))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1961]) ).

cnf(c_0_1961_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),c_Series_Osuminf(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1961]) ).

cnf(c_0_1962_0,axiom,
    ( c_SEQ_OLIMSEQ(c_Fun_Ocomp(X1,X4,tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ c_SEQ_Osubseq(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1962]) ).

cnf(c_0_1962_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_Fun_Ocomp(X1,X4,tc_nat,X3,tc_nat),X2,X3)
    | ~ c_SEQ_Osubseq(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1962]) ).

cnf(c_0_1962_2,axiom,
    ( ~ c_SEQ_Osubseq(X4)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_Fun_Ocomp(X1,X4,tc_nat,X3,tc_nat),X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1962]) ).

cnf(c_0_1962_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_Osubseq(X4)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OLIMSEQ(c_Fun_Ocomp(X1,X4,tc_nat,X3,tc_nat),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1962]) ).

cnf(c_0_1963_0,axiom,
    ( c_Series_Osums(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X2),tc_Complex_Ocomplex)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1963]) ).

cnf(c_0_1963_1,axiom,
    ( ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex)
    | c_Series_Osums(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X2),tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1963]) ).

cnf(c_0_1964_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X2),tc_Complex_Ocomplex)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1964]) ).

cnf(c_0_1964_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex)
    | c_SEQ_OLIMSEQ(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),hAPP(c_Complex_Ocnj,X2),tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1964]) ).

cnf(c_0_1965_0,axiom,
    ( c_Series_Osums(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1965]) ).

cnf(c_0_1965_1,axiom,
    ( ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex)
    | c_Series_Osums(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1965]) ).

cnf(c_0_1966_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1966]) ).

cnf(c_0_1966_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex)
    | c_SEQ_OLIMSEQ(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_OIm,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1966]) ).

cnf(c_0_1967_0,axiom,
    ( c_Series_Osums(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1967]) ).

cnf(c_0_1967_1,axiom,
    ( ~ c_Series_Osums(X1,X2,tc_Complex_Ocomplex)
    | c_Series_Osums(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1967]) ).

cnf(c_0_1968_0,axiom,
    ( c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1968]) ).

cnf(c_0_1968_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_Complex_Ocomplex)
    | c_SEQ_OLIMSEQ(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),hAPP(c_Complex_ORe,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1968]) ).

cnf(c_0_1969_0,axiom,
    ( c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1969_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1969_2,axiom,
    ( ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1969_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1969_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osummable(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Series_Osummable(c_COMBB(X1,X4,X2,X3,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1969]) ).

cnf(c_0_1970_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1970]) ).

cnf(c_0_1970_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1970]) ).

cnf(c_0_1970_2,axiom,
    ( ~ c_SEQ_OZseq(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1970]) ).

cnf(c_0_1970_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1970]) ).

cnf(c_0_1970_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OZseq(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OZseq(c_COMBB(X1,X4,X2,X3,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1970]) ).

cnf(c_0_1971_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1971]) ).

cnf(c_0_1971_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1971]) ).

cnf(c_0_1971_2,axiom,
    ( ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1971]) ).

cnf(c_0_1971_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1971]) ).

cnf(c_0_1971_4,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1971]) ).

cnf(c_0_1972_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1972_1,axiom,
    ( ~ c_Lim_OisUCont(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1972_2,axiom,
    ( ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1972_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1972_4,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OCauchy(X4,X2)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_SEQ_OCauchy(c_COMBB(X1,X4,X2,X3,tc_nat),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_1972]) ).

cnf(c_0_1973_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2))
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1973]) ).

cnf(c_0_1973_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1973]) ).

cnf(c_0_1973_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osuminf(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),c_Series_Osuminf(X1,X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_1973]) ).

cnf(c_0_1974_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal))
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1974_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1974_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1974_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osuminf(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) = hAPP(c_RealVector_Oof__real(X2),c_Series_Osuminf(X1,tc_RealDef_Oreal)) ),
    inference(literals_permutation,[status(thm)],[c_0_1974]) ).

cnf(c_0_1975_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1975]) ).

cnf(c_0_1975_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1975]) ).

cnf(c_0_1975_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1975]) ).

cnf(c_0_1976_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1976]) ).

cnf(c_0_1976_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1976]) ).

cnf(c_0_1976_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1976]) ).

cnf(c_0_1977_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1977]) ).

cnf(c_0_1977_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1977]) ).

cnf(c_0_1977_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1977]) ).

cnf(c_0_1978_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1978]) ).

cnf(c_0_1978_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1978]) ).

cnf(c_0_1978_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1978]) ).

cnf(c_0_1979_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1979]) ).

cnf(c_0_1979_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1979]) ).

cnf(c_0_1979_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1979]) ).

cnf(c_0_1980_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1980_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1980_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1980]) ).

cnf(c_0_1981_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1981_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1981_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1981]) ).

cnf(c_0_1982_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1982]) ).

cnf(c_0_1982_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1982]) ).

cnf(c_0_1982_2,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_COMBB(c_HOL_Otimes__class_Otimes(X3,X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1982]) ).

cnf(c_0_1983_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1983]) ).

cnf(c_0_1983_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1983]) ).

cnf(c_0_1983_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_COMBB(c_RealVector_OscaleR__class_OscaleR(X3,X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1983]) ).

cnf(c_0_1984_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) = hAPP(c_Complex_Ocnj,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1984]) ).

cnf(c_0_1984_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osuminf(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) = hAPP(c_Complex_Ocnj,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1984]) ).

cnf(c_0_1985_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_OIm,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1985]) ).

cnf(c_0_1985_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osuminf(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_OIm,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1985]) ).

cnf(c_0_1986_0,axiom,
    ( c_Series_Osuminf(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_ORe,c_Series_Osuminf(X1,tc_Complex_Ocomplex))
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1986]) ).

cnf(c_0_1986_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osuminf(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) = hAPP(c_Complex_ORe,c_Series_Osuminf(X1,tc_Complex_Ocomplex)) ),
    inference(literals_permutation,[status(thm)],[c_0_1986]) ).

cnf(c_0_1987_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1987_1,axiom,
    ( ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1987_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1987_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_SEQ_OZseq(X1,tc_RealDef_Oreal)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1987]) ).

cnf(c_0_1988_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1988_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1988_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1988_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_Series_Osummable(X1,tc_RealDef_Oreal)
    | c_Series_Osummable(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1988]) ).

cnf(c_0_1989_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1989_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2)
    | ~ c_SEQ_OCauchy(X1,tc_RealDef_Oreal)
    | c_SEQ_OCauchy(c_COMBB(c_RealVector_Oof__real(X2),X1,tc_RealDef_Oreal,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1989]) ).

cnf(c_0_1990_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1990]) ).

cnf(c_0_1990_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1990]) ).

cnf(c_0_1990_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1990]) ).

cnf(c_0_1991_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1991]) ).

cnf(c_0_1991_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1991]) ).

cnf(c_0_1991_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osummable(c_COMBB(c_HOL_Ouminus__class_Ouminus(X2),X1,X2,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1991]) ).

cnf(c_0_1992_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1992]) ).

cnf(c_0_1992_1,axiom,
    ( ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1992]) ).

cnf(c_0_1992_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_SEQ_OZseq(X1,X2)
    | c_SEQ_OZseq(c_COMBB(c_RealVector_Onorm__class_Onorm(X2),X1,X2,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1992]) ).

cnf(c_0_1993_0,axiom,
    ( c_SEQ_OCauchy(c_Fun_Ocomp(X1,X3,tc_nat,X2,tc_nat),X2)
    | ~ c_SEQ_OCauchy(X1,X2)
    | ~ c_SEQ_Osubseq(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1993_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_Fun_Ocomp(X1,X3,tc_nat,X2,tc_nat),X2)
    | ~ c_SEQ_Osubseq(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1993_2,axiom,
    ( ~ c_SEQ_Osubseq(X3)
    | ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_Fun_Ocomp(X1,X3,tc_nat,X2,tc_nat),X2)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1993_3,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ c_SEQ_Osubseq(X3)
    | ~ c_SEQ_OCauchy(X1,X2)
    | c_SEQ_OCauchy(c_Fun_Ocomp(X1,X3,tc_nat,X2,tc_nat),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_1993]) ).

cnf(c_0_1994_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1994]) ).

cnf(c_0_1994_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex)
    | c_SEQ_OCauchy(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1994]) ).

cnf(c_0_1995_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1995]) ).

cnf(c_0_1995_1,axiom,
    ( ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex)
    | c_SEQ_OZseq(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1995]) ).

cnf(c_0_1996_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1996]) ).

cnf(c_0_1996_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osummable(c_COMBB(c_Complex_Ocnj,X1,tc_Complex_Ocomplex,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1996]) ).

cnf(c_0_1997_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1997]) ).

cnf(c_0_1997_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osummable(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1997]) ).

cnf(c_0_1998_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1998]) ).

cnf(c_0_1998_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex)
    | c_SEQ_OCauchy(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1998]) ).

cnf(c_0_1999_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_1999_1,axiom,
    ( ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex)
    | c_SEQ_OZseq(c_COMBB(c_Complex_OIm,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_1999]) ).

cnf(c_0_2000_0,axiom,
    ( c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_2000]) ).

cnf(c_0_2000_1,axiom,
    ( ~ c_SEQ_OZseq(X1,tc_Complex_Ocomplex)
    | c_SEQ_OZseq(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2000]) ).

cnf(c_0_2001_0,axiom,
    ( c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_2001]) ).

cnf(c_0_2001_1,axiom,
    ( ~ c_SEQ_OCauchy(X1,tc_Complex_Ocomplex)
    | c_SEQ_OCauchy(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2001]) ).

cnf(c_0_2002_0,axiom,
    ( c_Series_Osummable(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal)
    | ~ c_Series_Osummable(X1,tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_2002]) ).

cnf(c_0_2002_1,axiom,
    ( ~ c_Series_Osummable(X1,tc_Complex_Ocomplex)
    | c_Series_Osummable(c_COMBB(c_Complex_ORe,X1,tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2002]) ).

cnf(c_0_2003_0,axiom,
    ( c_SEQ_Omonoseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
    | ~ c_SEQ_Omonoseq(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2003_1,axiom,
    ( ~ c_SEQ_Omonoseq(X1)
    | c_SEQ_Omonoseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2003]) ).

cnf(c_0_2004_0,axiom,
    ( c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat))
    | ~ c_SEQ_Odecseq(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2004]) ).

cnf(c_0_2004_1,axiom,
    ( ~ c_SEQ_Odecseq(X1)
    | c_SEQ_Oincseq(c_COMBB(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1,tc_RealDef_Oreal,tc_RealDef_Oreal,tc_nat)) ),
    inference(literals_permutation,[status(thm)],[c_0_2004]) ).

cnf(c_0_2005_0,axiom,
    ( c_Lim_OisCont(X1,X2,X3,X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2005_1,axiom,
    ( ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2005_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2005_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | c_Lim_OisCont(X1,X2,X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2005]) ).

cnf(c_0_2006_0,axiom,
    ( c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2006_1,axiom,
    ( ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2006_2,axiom,
    ( ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2006_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X4)
    | ~ c_Lim_OisCont(X1,X2,X3,X4)
    | c_Lim_OLIM(X1,X2,hAPP(X1,X2),X3,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2006]) ).

cnf(c_0_2007_0,axiom,
    ( c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2007]) ).

cnf(c_0_2007_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2007]) ).

cnf(c_0_2007_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2007]) ).

cnf(c_0_2007_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OLIM(X1,X4,hAPP(X1,X4),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2007]) ).

cnf(c_0_2008_0,axiom,
    ( c_Lim_OLIM(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2008]) ).

cnf(c_0_2008_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_Lim_OLIM(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2008]) ).

cnf(c_0_2009_0,axiom,
    ( c_Lim_OLIM(c_HOL_Otimes__class_Otimes(X1,X2),X3,hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2009]) ).

cnf(c_0_2009_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_Lim_OLIM(c_HOL_Otimes__class_Otimes(X1,X2),X3,hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2009]) ).

cnf(c_0_2010_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X4)),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X5),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X4),X5,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2010_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X4)),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X5),X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X4),X5,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2010_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X4),X5,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X4)),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X5),X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2010_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X4),X5,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X4)),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X5),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2010]) ).

cnf(c_0_2011_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(X4,X2),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2011_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(X4,X2),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2011]) ).

cnf(c_0_2012_0,axiom,
    ( c_lessequals(X1,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X1,X4),tc_nat)
    | c_Series_Osummable(X2,X4)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2012_1,axiom,
    ( c_Series_Osummable(X2,X4)
    | c_lessequals(X1,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X1,X4),tc_nat)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | ~ class_SEQ_Obanach(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2012_2,axiom,
    ( ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | c_Series_Osummable(X2,X4)
    | c_lessequals(X1,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X1,X4),tc_nat)
    | ~ class_SEQ_Obanach(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2012_3,axiom,
    ( ~ class_SEQ_Obanach(X4)
    | ~ c_Series_Osummable(X3,tc_RealDef_Oreal)
    | c_Series_Osummable(X2,X4)
    | c_lessequals(X1,c_Series_Osko__Series__Xsummable__comparison__test__1__1(X2,X3,X1,X4),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2012]) ).

cnf(c_0_2013_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2013]) ).

cnf(c_0_2013_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2013]) ).

cnf(c_0_2013_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),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_2013]) ).

cnf(c_0_2013_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2013]) ).

cnf(c_0_2013_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2013_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2013]) ).

cnf(c_0_2014_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2014]) ).

cnf(c_0_2014_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2014]) ).

cnf(c_0_2014_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),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_2014]) ).

cnf(c_0_2014_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X2,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2014]) ).

cnf(c_0_2014_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2014]) ).

cnf(c_0_2014_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2014]) ).

cnf(c_0_2015_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2015]) ).

cnf(c_0_2015_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2015]) ).

cnf(c_0_2015_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),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_2015]) ).

cnf(c_0_2015_3,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X1,X3)
    | ~ c_lessequals(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2015]) ).

cnf(c_0_2015_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3)
    | ~ class_Ring__and__Field_Opordered__semiring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2015_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2015]) ).

cnf(c_0_2016_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2016]) ).

cnf(c_0_2016_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2016]) ).

cnf(c_0_2016_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),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_2016]) ).

cnf(c_0_2016_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2016]) ).

cnf(c_0_2016_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2016]) ).

cnf(c_0_2016_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2016]) ).

cnf(c_0_2017_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2017]) ).

cnf(c_0_2017_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2017]) ).

cnf(c_0_2017_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X4,X5,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),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_2017]) ).

cnf(c_0_2017_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2017]) ).

cnf(c_0_2017_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2017_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2017]) ).

cnf(c_0_2018_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2018]) ).

cnf(c_0_2018_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2018]) ).

cnf(c_0_2018_2,axiom,
    ( ~ c_lessequals(X4,X5,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),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_2018]) ).

cnf(c_0_2018_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),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_2018]) ).

cnf(c_0_2018_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2018]) ).

cnf(c_0_2018_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X5),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2018]) ).

cnf(c_0_2019_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)),X1)
    | ~ class_Ring__and__Field_Olordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

cnf(c_0_2019_1,axiom,
    ( ~ class_Ring__and__Field_Olordered__ring(X1)
    | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)),hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2019]) ).

cnf(c_0_2020_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2020]) ).

cnf(c_0_2020_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5))) ),
    inference(literals_permutation,[status(thm)],[c_0_2020]) ).

cnf(c_0_2021_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X5))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2021_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X5)) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2021]) ).

cnf(c_0_2022_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2022]) ).

cnf(c_0_2022_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2022]) ).

cnf(c_0_2022_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2022]) ).

cnf(c_0_2022_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2022]) ).

cnf(c_0_2023_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2023]) ).

cnf(c_0_2023_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2023]) ).

cnf(c_0_2023_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2023]) ).

cnf(c_0_2023_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2023]) ).

cnf(c_0_2024_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2024_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2024_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2024_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2024]) ).

cnf(c_0_2025_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2025]) ).

cnf(c_0_2025_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2025]) ).

cnf(c_0_2025_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2025]) ).

cnf(c_0_2025_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring(X2)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2025]) ).

cnf(c_0_2026_0,axiom,
    ( c_lessequals(X1,X4,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),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_2026]) ).

cnf(c_0_2026_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_lessequals(X1,X4,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_2026]) ).

cnf(c_0_2026_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_lessequals(X1,X4,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2026]) ).

cnf(c_0_2026_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_lessequals(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2026]) ).

cnf(c_0_2027_0,axiom,
    ( c_lessequals(X3,X4,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2027_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_lessequals(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2027_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2027_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__semiring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_lessequals(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2027]) ).

cnf(c_0_2028_0,axiom,
    ( c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2028]) ).

cnf(c_0_2028_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(X3,X4,X1)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2028]) ).

cnf(c_0_2028_2,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_2028]) ).

cnf(c_0_2028_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_2028]) ).

cnf(c_0_2029_0,axiom,
    ( c_lessequals(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2029]) ).

cnf(c_0_2029_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X4,X3,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2029]) ).

cnf(c_0_2029_2,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),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_2029]) ).

cnf(c_0_2029_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),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_2029]) ).

cnf(c_0_2030_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2030]) ).

cnf(c_0_2030_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2030]) ).

cnf(c_0_2030_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_2030]) ).

cnf(c_0_2030_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_2030]) ).

cnf(c_0_2031_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2031]) ).

cnf(c_0_2031_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2031]) ).

cnf(c_0_2031_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),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_2031]) ).

cnf(c_0_2031_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),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_2031]) ).

cnf(c_0_2032_0,axiom,
    ( c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X6),hAPP(X1,X5),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat)
    | ~ c_lessequals(X5,X6,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2032_1,axiom,
    ( c_lessequals(hAPP(X1,X6),hAPP(X1,X5),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat)
    | ~ c_lessequals(X5,X6,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2032_2,axiom,
    ( ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X6),hAPP(X1,X5),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat)
    | ~ c_lessequals(X5,X6,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2032_3,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X6),hAPP(X1,X5),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat)
    | ~ c_lessequals(X5,X6,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2032_4,axiom,
    ( ~ c_lessequals(X3,X4,tc_nat)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X6),hAPP(X1,X5),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_lessequals(X5,X6,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2032_5,axiom,
    ( ~ c_lessequals(X5,X6,tc_nat)
    | ~ c_lessequals(X3,X4,tc_nat)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X6),hAPP(X1,X5),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2032]) ).

cnf(c_0_2033_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2033_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),X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2033_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),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),X1,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2033_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),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),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2033]) ).

cnf(c_0_2034_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2034_1,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2034_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,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__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2034_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2034]) ).

cnf(c_0_2035_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2035]) ).

cnf(c_0_2035_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2035]) ).

cnf(c_0_2035_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2035]) ).

cnf(c_0_2035_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2035]) ).

cnf(c_0_2036_0,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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2036]) ).

cnf(c_0_2036_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2036]) ).

cnf(c_0_2036_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),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_2036]) ).

cnf(c_0_2036_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2036]) ).

cnf(c_0_2037_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2037]) ).

cnf(c_0_2037_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X1,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2037]) ).

cnf(c_0_2037_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2037]) ).

cnf(c_0_2037_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2037]) ).

cnf(c_0_2038_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2038]) ).

cnf(c_0_2038_1,axiom,
    ( c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2038]) ).

cnf(c_0_2038_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2038]) ).

cnf(c_0_2038_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2038]) ).

cnf(c_0_2039_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ 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_2039]) ).

cnf(c_0_2039_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ 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_2039]) ).

cnf(c_0_2039_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2039]) ).

cnf(c_0_2039_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)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2039]) ).

cnf(c_0_2040_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ 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_2040]) ).

cnf(c_0_2040_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ 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_2040]) ).

cnf(c_0_2040_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ class_Ring__and__Field_Opordered__ring__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2040]) ).

cnf(c_0_2040_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)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2040]) ).

cnf(c_0_2041_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ 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_2041]) ).

cnf(c_0_2041_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ 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_2041]) ).

cnf(c_0_2041_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2041_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)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2041]) ).

cnf(c_0_2042_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ 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_2042]) ).

cnf(c_0_2042_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ 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_2042]) ).

cnf(c_0_2042_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_Ring__and__Field_Opordered__ring__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2042_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)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2042]) ).

cnf(c_0_2043_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X4,X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X3,X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2043_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2)
    | c_HOL_Oord__class_Oless(X4,X3,X2)
    | c_HOL_Oord__class_Oless(X3,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2043]) ).

cnf(c_0_2044_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X4,X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_1,axiom,
    ( c_HOL_Oord__class_Oless(X4,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2044_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X3),X2)
    | c_HOL_Oord__class_Oless(X4,X1,X2)
    | c_HOL_Oord__class_Oless(X1,X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2044]) ).

cnf(c_0_2045_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_2045]) ).

cnf(c_0_2045_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),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_2045]) ).

cnf(c_0_2045_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ class_Ring__and__Field_Omult__mono1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2045]) ).

cnf(c_0_2045_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2045]) ).

cnf(c_0_2046_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_2046]) ).

cnf(c_0_2046_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),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_2046]) ).

cnf(c_0_2046_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2046]) ).

cnf(c_0_2046_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2046]) ).

cnf(c_0_2047_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),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_2047]) ).

cnf(c_0_2047_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),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_2047]) ).

cnf(c_0_2047_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X3),X4,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),X3)
    | ~ class_Ring__and__Field_Omult__mono(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2047]) ).

cnf(c_0_2047_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2047]) ).

cnf(c_0_2048_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),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_2048]) ).

cnf(c_0_2048_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),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_2048]) ).

cnf(c_0_2048_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2048]) ).

cnf(c_0_2048_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2048]) ).

cnf(c_0_2049_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),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_2049]) ).

cnf(c_0_2049_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),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_2049]) ).

cnf(c_0_2049_2,axiom,
    ( ~ c_lessequals(X4,c_HOL_Ozero__class_Ozero(X3),X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),X3)
    | ~ class_Ring__and__Field_Opordered__ring(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2049]) ).

cnf(c_0_2049_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2049]) ).

cnf(c_0_2050_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_2050]) ).

cnf(c_0_2050_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ c_lessequals(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2050_2,axiom,
    ( ~ c_lessequals(X3,X4,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2050_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2050]) ).

cnf(c_0_2051_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2051]) ).

cnf(c_0_2051_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ c_lessequals(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2051_2,axiom,
    ( ~ c_lessequals(X3,X4,X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2051_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2051]) ).

cnf(c_0_2052_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_2052]) ).

cnf(c_0_2052_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),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_2052]) ).

cnf(c_0_2052_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2052]) ).

cnf(c_0_2052_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2052]) ).

cnf(c_0_2053_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1),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_2053]) ).

cnf(c_0_2053_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2053_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2053_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X2),X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2053]) ).

cnf(c_0_2054_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X1),X2),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_2054]) ).

cnf(c_0_2054_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,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_2054]) ).

cnf(c_0_2054_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(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X1),X2),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2054]) ).

cnf(c_0_2054_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(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X1),X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2054]) ).

cnf(c_0_2055_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),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_2055]) ).

cnf(c_0_2055_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),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_2055]) ).

cnf(c_0_2055_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2055]) ).

cnf(c_0_2055_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2055]) ).

cnf(c_0_2056_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),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_2056]) ).

cnf(c_0_2056_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),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_2056]) ).

cnf(c_0_2056_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2056]) ).

cnf(c_0_2056_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X4),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2056]) ).

cnf(c_0_2057_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2057]) ).

cnf(c_0_2057_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2057]) ).

cnf(c_0_2057_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2057]) ).

cnf(c_0_2057_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2057]) ).

cnf(c_0_2058_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_2058]) ).

cnf(c_0_2058_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2058]) ).

cnf(c_0_2058_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2058]) ).

cnf(c_0_2058_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2058]) ).

cnf(c_0_2059_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),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_2059]) ).

cnf(c_0_2059_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),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_2059]) ).

cnf(c_0_2059_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2059]) ).

cnf(c_0_2059_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2059]) ).

cnf(c_0_2060_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),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_2060]) ).

cnf(c_0_2060_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),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_2060]) ).

cnf(c_0_2060_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),X3)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2060]) ).

cnf(c_0_2060_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(hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X2),hAPP(c_HOL_Otimes__class_Otimes(X4,X3),X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2060]) ).

cnf(c_0_2061_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),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_2061]) ).

cnf(c_0_2061_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2061]) ).

cnf(c_0_2061_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2061]) ).

cnf(c_0_2061_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X4),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2061]) ).

cnf(c_0_2062_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2062]) ).

cnf(c_0_2062_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2062_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2062_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2062]) ).

cnf(c_0_2063_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2),X3)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2063]) ).

cnf(c_0_2063_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4),X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2063]) ).

cnf(c_0_2064_0,axiom,
    ( c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2064_1,axiom,
    ( c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2064_2,axiom,
    ( ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2064_3,axiom,
    ( ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2064_4,axiom,
    ( ~ c_lessequals(X4,X5,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2064]) ).

cnf(c_0_2065_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2065]) ).

cnf(c_0_2065_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2065]) ).

cnf(c_0_2065_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),hAPP(c_HOL_Otimes__class_Otimes(X2,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_2065]) ).

cnf(c_0_2065_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2065]) ).

cnf(c_0_2066_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),hAPP(c_HOL_Otimes__class_Otimes(X2,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_2066]) ).

cnf(c_0_2066_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2066]) ).

cnf(c_0_2066_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2066]) ).

cnf(c_0_2066_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2066]) ).

cnf(c_0_2067_0,axiom,
    ( c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2067]) ).

cnf(c_0_2067_1,axiom,
    ( c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2067]) ).

cnf(c_0_2067_2,axiom,
    ( ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2067]) ).

cnf(c_0_2067_3,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X4,X5,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2067]) ).

cnf(c_0_2067_4,axiom,
    ( ~ c_lessequals(X4,X5,tc_nat)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(hAPP(X1,X5),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2067]) ).

cnf(c_0_2068_0,axiom,
    ( c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(X2,hAPP(X1,X5),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2068]) ).

cnf(c_0_2068_1,axiom,
    ( c_lessequals(X2,hAPP(X1,X5),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2068]) ).

cnf(c_0_2068_2,axiom,
    ( ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(X2,hAPP(X1,X5),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2068]) ).

cnf(c_0_2068_3,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(X2,hAPP(X1,X5),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_lessequals(X3,X4,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2068]) ).

cnf(c_0_2068_4,axiom,
    ( ~ c_lessequals(X3,X4,tc_nat)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(X2,hAPP(X1,X5),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X4),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2068]) ).

cnf(c_0_2069_0,axiom,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2069]) ).

cnf(c_0_2069_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2069]) ).

cnf(c_0_2069_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2069]) ).

cnf(c_0_2069_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2069]) ).

cnf(c_0_2070_0,axiom,
    ( c_Lim_OisCont(X1,X4,X2,X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2070]) ).

cnf(c_0_2070_1,axiom,
    ( ~ c_Lim_OisUCont(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2070]) ).

cnf(c_0_2070_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3)
    | ~ class_RealVector_Ometric__space(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2070]) ).

cnf(c_0_2070_3,axiom,
    ( ~ class_RealVector_Ometric__space(X2)
    | ~ class_RealVector_Ometric__space(X3)
    | ~ c_Lim_OisUCont(X1,X2,X3)
    | c_Lim_OisCont(X1,X4,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2070]) ).

cnf(c_0_2071_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2071]) ).

cnf(c_0_2071_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2071]) ).

cnf(c_0_2071_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2071]) ).

cnf(c_0_2071_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2071]) ).

cnf(c_0_2072_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2072]) ).

cnf(c_0_2072_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2072]) ).

cnf(c_0_2072_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2072]) ).

cnf(c_0_2072_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2072]) ).

cnf(c_0_2073_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2073]) ).

cnf(c_0_2073_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2073]) ).

cnf(c_0_2073_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2073]) ).

cnf(c_0_2073_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2073]) ).

cnf(c_0_2074_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2074]) ).

cnf(c_0_2074_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2074]) ).

cnf(c_0_2074_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2074]) ).

cnf(c_0_2074_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2074]) ).

cnf(c_0_2075_0,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2075]) ).

cnf(c_0_2075_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2075]) ).

cnf(c_0_2075_2,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,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_2075]) ).

cnf(c_0_2075_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2075]) ).

cnf(c_0_2076_0,axiom,
    ( c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2076]) ).

cnf(c_0_2076_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X3,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2076]) ).

cnf(c_0_2076_2,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2076]) ).

cnf(c_0_2076_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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) ),
    inference(literals_permutation,[status(thm)],[c_0_2076]) ).

cnf(c_0_2077_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2077]) ).

cnf(c_0_2077_1,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2077]) ).

cnf(c_0_2077_2,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2077]) ).

cnf(c_0_2077_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2077]) ).

cnf(c_0_2078_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2078]) ).

cnf(c_0_2078_1,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2078]) ).

cnf(c_0_2078_2,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X1,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2078]) ).

cnf(c_0_2078_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2078]) ).

cnf(c_0_2079_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2079]) ).

cnf(c_0_2079_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2079]) ).

cnf(c_0_2079_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2079]) ).

cnf(c_0_2079_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2079]) ).

cnf(c_0_2080_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),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(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2080]) ).

cnf(c_0_2080_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2080]) ).

cnf(c_0_2080_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2080]) ).

cnf(c_0_2080_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2080]) ).

cnf(c_0_2081_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2081]) ).

cnf(c_0_2081_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),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_2081]) ).

cnf(c_0_2081_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(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2081]) ).

cnf(c_0_2081_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(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2081]) ).

cnf(c_0_2082_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2082]) ).

cnf(c_0_2082_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2082]) ).

cnf(c_0_2082_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Opordered__ring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2082]) ).

cnf(c_0_2082_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2082]) ).

cnf(c_0_2083_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2083]) ).

cnf(c_0_2083_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2083]) ).

cnf(c_0_2083_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),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2083]) ).

cnf(c_0_2083_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),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2083]) ).

cnf(c_0_2084_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2084]) ).

cnf(c_0_2084_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2084]) ).

cnf(c_0_2084_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),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ class_Ring__and__Field_Opordered__ring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2084]) ).

cnf(c_0_2084_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),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2084]) ).

cnf(c_0_2085_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2085]) ).

cnf(c_0_2085_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2085]) ).

cnf(c_0_2085_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2085]) ).

cnf(c_0_2085_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2085]) ).

cnf(c_0_2086_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2086]) ).

cnf(c_0_2086_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2086]) ).

cnf(c_0_2086_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),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2086]) ).

cnf(c_0_2086_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),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2086]) ).

cnf(c_0_2087_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2087]) ).

cnf(c_0_2087_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2087]) ).

cnf(c_0_2087_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2087]) ).

cnf(c_0_2087_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2087]) ).

cnf(c_0_2088_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2088]) ).

cnf(c_0_2088_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2088]) ).

cnf(c_0_2088_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2088]) ).

cnf(c_0_2088_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2088]) ).

cnf(c_0_2089_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2089]) ).

cnf(c_0_2089_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2089]) ).

cnf(c_0_2089_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2089]) ).

cnf(c_0_2089_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2089]) ).

cnf(c_0_2090_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2090]) ).

cnf(c_0_2090_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2090]) ).

cnf(c_0_2090_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2090]) ).

cnf(c_0_2090_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2090]) ).

cnf(c_0_2091_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2091]) ).

cnf(c_0_2091_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2091]) ).

cnf(c_0_2091_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2091]) ).

cnf(c_0_2091_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2091]) ).

cnf(c_0_2092_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2092]) ).

cnf(c_0_2092_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2092]) ).

cnf(c_0_2092_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2092]) ).

cnf(c_0_2092_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(hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2092]) ).

cnf(c_0_2093_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),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),X3,X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2093]) ).

cnf(c_0_2093_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2093]) ).

cnf(c_0_2093_2,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2093]) ).

cnf(c_0_2093_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(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2093]) ).

cnf(c_0_2094_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),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_2094]) ).

cnf(c_0_2094_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),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_2094]) ).

cnf(c_0_2094_2,axiom,
    ( ~ c_lessequals(X3,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_Ring__and__Field_Opordered__cancel__semiring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2094]) ).

cnf(c_0_2094_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(hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2094]) ).

cnf(c_0_2095_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X3,X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2095]) ).

cnf(c_0_2095_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),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_2095]) ).

cnf(c_0_2095_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1)
    | ~ class_Ring__and__Field_Oordered__semiring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2095]) ).

cnf(c_0_2095_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),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2095]) ).

cnf(c_0_2096_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2096]) ).

cnf(c_0_2096_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),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),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_2096]) ).

cnf(c_0_2096_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),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2096]) ).

cnf(c_0_2096_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),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2096]) ).

cnf(c_0_2097_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2097]) ).

cnf(c_0_2097_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2097]) ).

cnf(c_0_2097_2,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2097]) ).

cnf(c_0_2097_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2097]) ).

cnf(c_0_2098_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2098]) ).

cnf(c_0_2098_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2098]) ).

cnf(c_0_2098_2,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2098]) ).

cnf(c_0_2098_3,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X3)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2098]) ).

cnf(c_0_2099_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2099]) ).

cnf(c_0_2099_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2099]) ).

cnf(c_0_2099_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3)
    | ~ class_Ring__and__Field_Oordered__idom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2099]) ).

cnf(c_0_2099_3,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X3)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X2,X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X3),X1),X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2099]) ).

cnf(c_0_2100_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2100]) ).

cnf(c_0_2100_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__mult(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2100]) ).

cnf(c_0_2101_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2101]) ).

cnf(c_0_2101_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2101]) ).

cnf(c_0_2102_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2102]) ).

cnf(c_0_2102_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2102]) ).

cnf(c_0_2103_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2103]) ).

cnf(c_0_2103_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3),X2),X4) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2103]) ).

cnf(c_0_2104_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2104]) ).

cnf(c_0_2104_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2104]) ).

cnf(c_0_2105_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2105]) ).

cnf(c_0_2105_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2105]) ).

cnf(c_0_2106_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4))
    | ~ class_RealVector_Oreal__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2106]) ).

cnf(c_0_2106_1,axiom,
    ( ~ class_RealVector_Oreal__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3),X2),X4) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2106]) ).

cnf(c_0_2107_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X3),X1),X2) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2))
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2107]) ).

cnf(c_0_2107_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X3),X1),X2) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2107]) ).

cnf(c_0_2107_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X3),X1),X2) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X3,X1),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2107]) ).

cnf(c_0_2108_0,axiom,
    ( c_Lim_OisCont(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2108]) ).

cnf(c_0_2108_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_Lim_OisCont(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2108]) ).

cnf(c_0_2109_0,axiom,
    ( c_Lim_OisCont(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2109]) ).

cnf(c_0_2109_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_Lim_OisCont(c_HOL_Otimes__class_Otimes(X1,X2),X3,X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2109]) ).

cnf(c_0_2110_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2110]) ).

cnf(c_0_2110_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2110]) ).

cnf(c_0_2110_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_HOL_Oord__class_Oless(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2110]) ).

cnf(c_0_2111_0,axiom,
    ( c_lessequals(X3,X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2111]) ).

cnf(c_0_2111_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_lessequals(X3,X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2111]) ).

cnf(c_0_2111_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X1)
    | c_lessequals(X3,X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2111]) ).

cnf(c_0_2112_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2112]) ).

cnf(c_0_2112_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X3)) = hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2112]) ).

cnf(c_0_2113_0,axiom,
    ( hAPP(X1,hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X2),X5)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),hAPP(X1,X5))
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2113]) ).

cnf(c_0_2113_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | hAPP(X1,hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X2),X5)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),hAPP(X1,X5))
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2113]) ).

cnf(c_0_2113_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | hAPP(X1,hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X2),X5)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),hAPP(X1,X5))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2113]) ).

cnf(c_0_2113_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | hAPP(X1,hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X2),X5)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X4,X3),hAPP(X1,X5)) ),
    inference(literals_permutation,[status(thm)],[c_0_2113]) ).

cnf(c_0_2114_0,axiom,
    ( c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | c_lessequals(X2,hAPP(X1,X4),tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2114_1,axiom,
    ( c_lessequals(X2,hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2114_2,axiom,
    ( ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(X2,hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2114_3,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Omonoseq(X1)
    | c_lessequals(X2,hAPP(X1,X4),tc_RealDef_Oreal)
    | c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2114]) ).

cnf(c_0_2115_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2115]) ).

cnf(c_0_2115_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2115]) ).

cnf(c_0_2115_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2115]) ).

cnf(c_0_2116_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2116]) ).

cnf(c_0_2116_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2116]) ).

cnf(c_0_2116_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2116]) ).

cnf(c_0_2117_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2117_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2117_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2117]) ).

cnf(c_0_2118_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2118]) ).

cnf(c_0_2118_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2118]) ).

cnf(c_0_2118_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2118]) ).

cnf(c_0_2119_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2119]) ).

cnf(c_0_2119_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2119]) ).

cnf(c_0_2119_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2119]) ).

cnf(c_0_2120_0,axiom,
    ( c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2120]) ).

cnf(c_0_2120_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2120]) ).

cnf(c_0_2120_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_HOL_Oord__class_Oless(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2120]) ).

cnf(c_0_2121_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2121]) ).

cnf(c_0_2121_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2121]) ).

cnf(c_0_2121_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2121]) ).

cnf(c_0_2122_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2122]) ).

cnf(c_0_2122_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2122]) ).

cnf(c_0_2122_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X3,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2122]) ).

cnf(c_0_2123_0,axiom,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2123]) ).

cnf(c_0_2123_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2123]) ).

cnf(c_0_2123_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2123]) ).

cnf(c_0_2124_0,axiom,
    ( c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2124]) ).

cnf(c_0_2124_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2124]) ).

cnf(c_0_2124_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3),X2)
    | c_lessequals(X3,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2124]) ).

cnf(c_0_2125_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2125]) ).

cnf(c_0_2125_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X4)) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2125]) ).

cnf(c_0_2126_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2126]) ).

cnf(c_0_2126_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2126]) ).

cnf(c_0_2127_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2127]) ).

cnf(c_0_2127_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2127]) ).

cnf(c_0_2128_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4))
    | ~ class_RealVector_Oreal__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2128]) ).

cnf(c_0_2128_1,axiom,
    ( ~ class_RealVector_Oreal__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2128]) ).

cnf(c_0_2129_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2129_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2129]) ).

cnf(c_0_2130_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2130_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2130]) ).

cnf(c_0_2131_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2131]) ).

cnf(c_0_2131_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),X4)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X4)) ),
    inference(literals_permutation,[status(thm)],[c_0_2131]) ).

cnf(c_0_2132_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_2132]) ).

cnf(c_0_2132_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_2132]) ).

cnf(c_0_2132_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_2132]) ).

cnf(c_0_2132_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_2132]) ).

cnf(c_0_2133_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_2133]) ).

cnf(c_0_2133_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_2133]) ).

cnf(c_0_2133_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_2133]) ).

cnf(c_0_2133_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_2133]) ).

cnf(c_0_2134_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_2134]) ).

cnf(c_0_2134_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_2134]) ).

cnf(c_0_2134_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_2134]) ).

cnf(c_0_2134_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_2134]) ).

cnf(c_0_2135_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_2135]) ).

cnf(c_0_2135_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_2135]) ).

cnf(c_0_2135_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_2135]) ).

cnf(c_0_2135_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_2135]) ).

cnf(c_0_2136_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_2136]) ).

cnf(c_0_2136_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_2136]) ).

cnf(c_0_2136_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_2136]) ).

cnf(c_0_2136_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_2136]) ).

cnf(c_0_2137_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_2137]) ).

cnf(c_0_2137_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_2137]) ).

cnf(c_0_2137_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_2137]) ).

cnf(c_0_2137_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_2137]) ).

cnf(c_0_2138_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_2138]) ).

cnf(c_0_2138_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_2138]) ).

cnf(c_0_2138_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_2138]) ).

cnf(c_0_2138_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_2138]) ).

cnf(c_0_2139_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_2139]) ).

cnf(c_0_2139_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_2139]) ).

cnf(c_0_2139_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_2139]) ).

cnf(c_0_2139_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_2139]) ).

cnf(c_0_2140_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X1),c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2140]) ).

cnf(c_0_2140_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X2)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X1),c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2140]) ).

cnf(c_0_2141_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2141]) ).

cnf(c_0_2141_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2141]) ).

cnf(c_0_2141_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_HOL_Oord__class_Oless(X1,X2,X3)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2141]) ).

cnf(c_0_2142_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ c_lessequals(X1,X2,X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2142]) ).

cnf(c_0_2142_1,axiom,
    ( ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2142]) ).

cnf(c_0_2142_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X3)
    | ~ c_lessequals(X1,X2,X3)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2),hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2142]) ).

cnf(c_0_2143_0,axiom,
    ( c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2143]) ).

cnf(c_0_2143_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2143]) ).

cnf(c_0_2143_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2143]) ).

cnf(c_0_2144_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2144]) ).

cnf(c_0_2144_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2144]) ).

cnf(c_0_2144_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),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_2144]) ).

cnf(c_0_2145_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2145]) ).

cnf(c_0_2145_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2145]) ).

cnf(c_0_2145_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2145]) ).

cnf(c_0_2146_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),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2146]) ).

cnf(c_0_2146_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2146]) ).

cnf(c_0_2146_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1)
    | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2146]) ).

cnf(c_0_2147_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2147]) ).

cnf(c_0_2147_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2147]) ).

cnf(c_0_2148_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2148]) ).

cnf(c_0_2148_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2148]) ).

cnf(c_0_2149_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2149]) ).

cnf(c_0_2149_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2149]) ).

cnf(c_0_2150_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_2150]) ).

cnf(c_0_2150_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_2150]) ).

cnf(c_0_2150_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_2150]) ).

cnf(c_0_2151_0,axiom,
    ( c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2151]) ).

cnf(c_0_2151_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X1,X3,tc_nat)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2151]) ).

cnf(c_0_2151_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X1,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2151]) ).

cnf(c_0_2152_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2152]) ).

cnf(c_0_2152_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_2152]) ).

cnf(c_0_2152_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2152]) ).

cnf(c_0_2153_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2153]) ).

cnf(c_0_2153_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2153]) ).

cnf(c_0_2153_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2153]) ).

cnf(c_0_2154_0,axiom,
    ( c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2154]) ).

cnf(c_0_2154_1,axiom,
    ( ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_2154]) ).

cnf(c_0_2154_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2154]) ).

cnf(c_0_2155_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2155]) ).

cnf(c_0_2155_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2155]) ).

cnf(c_0_2155_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2155]) ).

cnf(c_0_2156_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2156]) ).

cnf(c_0_2156_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_2156]) ).

cnf(c_0_2156_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X2)
    | ~ c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2156]) ).

cnf(c_0_2157_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2157]) ).

cnf(c_0_2157_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2157]) ).

cnf(c_0_2158_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2158]) ).

cnf(c_0_2158_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2158]) ).

cnf(c_0_2159_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2159]) ).

cnf(c_0_2159_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X1),X2),X3) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2159]) ).

cnf(c_0_2160_0,axiom,
    ( c_lessequals(X2,X3,X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2160]) ).

cnf(c_0_2160_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_lessequals(X2,X3,X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2160]) ).

cnf(c_0_2160_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_lessequals(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2160]) ).

cnf(c_0_2161_0,axiom,
    ( c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2161]) ).

cnf(c_0_2161_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(X2,X3,X1)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2161]) ).

cnf(c_0_2161_2,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X3,X1)
    | c_HOL_Oord__class_Oless(X2,X3,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2161]) ).

cnf(c_0_2162_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_2162]) ).

cnf(c_0_2162_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_2162]) ).

cnf(c_0_2162_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_2162]) ).

cnf(c_0_2162_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_2162]) ).

cnf(c_0_2163_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_2163]) ).

cnf(c_0_2163_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2163]) ).

cnf(c_0_2163_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),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2163]) ).

cnf(c_0_2164_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2164]) ).

cnf(c_0_2164_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2164]) ).

cnf(c_0_2164_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2164]) ).

cnf(c_0_2165_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2165]) ).

cnf(c_0_2165_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_HOL_Oord__class_Oless(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2165]) ).

cnf(c_0_2165_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(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2165]) ).

cnf(c_0_2166_0,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_2166]) ).

cnf(c_0_2166_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),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2166]) ).

cnf(c_0_2166_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),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2166]) ).

cnf(c_0_2167_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2)
    | ~ class_Ring__and__Field_Oidom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2167]) ).

cnf(c_0_2167_1,axiom,
    ( ~ class_Ring__and__Field_Oidom(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2167]) ).

cnf(c_0_2168_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2168]) ).

cnf(c_0_2168_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2168]) ).

cnf(c_0_2169_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2169]) ).

cnf(c_0_2169_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__idom(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2169]) ).

cnf(c_0_2170_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2170]) ).

cnf(c_0_2170_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X1),X3) = hAPP(c_HOL_Otimes__class_Otimes(X2,X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2170]) ).

cnf(c_0_2171_0,axiom,
    ( c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_SEQ_Oincseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2171]) ).

cnf(c_0_2171_1,axiom,
    ( ~ c_SEQ_Oincseq(X1)
    | c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2171]) ).

cnf(c_0_2171_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_SEQ_Oincseq(X1)
    | c_lessequals(hAPP(X1,X2),hAPP(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2171]) ).

cnf(c_0_2172_0,axiom,
    ( c_lessequals(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal)
    | ~ c_SEQ_Odecseq(X1)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2172]) ).

cnf(c_0_2172_1,axiom,
    ( ~ c_SEQ_Odecseq(X1)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal)
    | ~ c_lessequals(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2172]) ).

cnf(c_0_2172_2,axiom,
    ( ~ c_lessequals(X2,X3,tc_nat)
    | ~ c_SEQ_Odecseq(X1)
    | c_lessequals(hAPP(X1,X3),hAPP(X1,X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2172]) ).

cnf(c_0_2173_0,axiom,
    ( c_HOL_Oord__class_Oless(hAPP(X1,X2),hAPP(X1,X3),tc_nat)
    | ~ c_SEQ_Osubseq(X1)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2173]) ).

cnf(c_0_2173_1,axiom,
    ( ~ c_SEQ_Osubseq(X1)
    | c_HOL_Oord__class_Oless(hAPP(X1,X2),hAPP(X1,X3),tc_nat)
    | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2173]) ).

cnf(c_0_2173_2,axiom,
    ( ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
    | ~ c_SEQ_Osubseq(X1)
    | c_HOL_Oord__class_Oless(hAPP(X1,X2),hAPP(X1,X3),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2173]) ).

cnf(c_0_2174_0,axiom,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_2174]) ).

cnf(c_0_2174_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2174]) ).

cnf(c_0_2174_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2174]) ).

cnf(c_0_2175_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2175]) ).

cnf(c_0_2175_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2175]) ).

cnf(c_0_2175_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2175]) ).

cnf(c_0_2176_0,axiom,
    ( c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_2176]) ).

cnf(c_0_2176_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2176]) ).

cnf(c_0_2176_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_lessequals(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2176]) ).

cnf(c_0_2177_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),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_2177]) ).

cnf(c_0_2177_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2177]) ).

cnf(c_0_2177_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),X2,X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2177]) ).

cnf(c_0_2178_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),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_2178]) ).

cnf(c_0_2178_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | c_HOL_Oord__class_Oless(X1,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2)
    | ~ class_Ring__and__Field_Oordered__idom(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2178]) ).

cnf(c_0_2178_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,hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2178]) ).

cnf(c_0_2179_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2179]) ).

cnf(c_0_2179_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2179]) ).

cnf(c_0_2179_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | hBOOL(hAPP(hAPP(X3,X2),X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2179]) ).

cnf(c_0_2179_3,axiom,
    ( hBOOL(hAPP(hAPP(X3,X2),X1))
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2179]) ).

cnf(c_0_2180_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2180]) ).

cnf(c_0_2180_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2180]) ).

cnf(c_0_2181_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2181]) ).

cnf(c_0_2181_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2181]) ).

cnf(c_0_2182_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X2,X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3))
    | ~ class_Ring__and__Field_Oring(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2182]) ).

cnf(c_0_2182_1,axiom,
    ( ~ class_Ring__and__Field_Oring(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(X2,X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2182]) ).

cnf(c_0_2183_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2183]) ).

cnf(c_0_2183_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2183]) ).

cnf(c_0_2184_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3))
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2184]) ).

cnf(c_0_2184_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X3)) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3)) ),
    inference(literals_permutation,[status(thm)],[c_0_2184]) ).

cnf(c_0_2185_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2185]) ).

cnf(c_0_2185_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2185]) ).

cnf(c_0_2186_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2186]) ).

cnf(c_0_2186_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2186]) ).

cnf(c_0_2187_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_2187]) ).

cnf(c_0_2187_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_2187]) ).

cnf(c_0_2187_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_2187]) ).

cnf(c_0_2187_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_2187]) ).

cnf(c_0_2188_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_2188]) ).

cnf(c_0_2188_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_2188]) ).

cnf(c_0_2188_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_2188]) ).

cnf(c_0_2188_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_2188]) ).

cnf(c_0_2189_0,axiom,
    ( X2 = X4
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2189]) ).

cnf(c_0_2189_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | X2 = X4
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2189]) ).

cnf(c_0_2189_2,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | X2 = X4
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2189]) ).

cnf(c_0_2189_3,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X4,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | X2 = X4 ),
    inference(literals_permutation,[status(thm)],[c_0_2189]) ).

cnf(c_0_2190_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_2190]) ).

cnf(c_0_2190_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_2190]) ).

cnf(c_0_2190_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_2190]) ).

cnf(c_0_2190_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_2190]) ).

cnf(c_0_2191_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_2191]) ).

cnf(c_0_2191_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_2191]) ).

cnf(c_0_2191_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_2191]) ).

cnf(c_0_2192_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_2192]) ).

cnf(c_0_2192_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_2192]) ).

cnf(c_0_2192_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_2192]) ).

cnf(c_0_2193_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_2193]) ).

cnf(c_0_2193_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_2193]) ).

cnf(c_0_2193_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_2193]) ).

cnf(c_0_2194_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_2194]) ).

cnf(c_0_2194_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_2194]) ).

cnf(c_0_2194_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_2194]) ).

cnf(c_0_2195_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_2195]) ).

cnf(c_0_2195_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_2195]) ).

cnf(c_0_2195_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_2195]) ).

cnf(c_0_2196_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_2196]) ).

cnf(c_0_2196_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_2196]) ).

cnf(c_0_2196_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_2196]) ).

cnf(c_0_2197_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_2197]) ).

cnf(c_0_2197_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_2197]) ).

cnf(c_0_2197_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_2197]) ).

cnf(c_0_2198_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_2198]) ).

cnf(c_0_2198_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_2198]) ).

cnf(c_0_2198_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_2198]) ).

cnf(c_0_2199_0,axiom,
    ( c_lessequals(X2,hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_SEQ_Odecseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2199]) ).

cnf(c_0_2199_1,axiom,
    ( ~ c_SEQ_Odecseq(X1)
    | c_lessequals(X2,hAPP(X1,X3),tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2199]) ).

cnf(c_0_2199_2,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Odecseq(X1)
    | c_lessequals(X2,hAPP(X1,X3),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2199]) ).

cnf(c_0_2200_0,axiom,
    ( c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Oincseq(X1)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2200]) ).

cnf(c_0_2200_1,axiom,
    ( ~ c_SEQ_Oincseq(X1)
    | c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal)
    | ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2200]) ).

cnf(c_0_2200_2,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,tc_RealDef_Oreal)
    | ~ c_SEQ_Oincseq(X1)
    | c_lessequals(hAPP(X1,X3),X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2200]) ).

cnf(c_0_2201_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_2201]) ).

cnf(c_0_2201_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_2201]) ).

cnf(c_0_2201_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_2201]) ).

cnf(c_0_2202_0,axiom,
    ( X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat)
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2202]) ).

cnf(c_0_2202_1,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2202]) ).

cnf(c_0_2202_2,axiom,
    ( ~ c_lessequals(X2,X1,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2202]) ).

cnf(c_0_2203_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2203]) ).

cnf(c_0_2203_1,axiom,
    ( ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2203]) ).

cnf(c_0_2203_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | X2 = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2203]) ).

cnf(c_0_2204_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2204]) ).

cnf(c_0_2204_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3)) = hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2204]) ).

cnf(c_0_2205_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_Oof__real(X2),X1),X2),X3) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2205]) ).

cnf(c_0_2205_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(hAPP(c_RealVector_Oof__real(X2),X1),X2),X3) = hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2205]) ).

cnf(c_0_2206_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2206]) ).

cnf(c_0_2206_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_HOL_Oord__class_Oless(hAPP(c_HOL_Oabs__class_Oabs(X1),X2),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2206]) ).

cnf(c_0_2207_0,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2207]) ).

cnf(c_0_2207_1,axiom,
    ( ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2207]) ).

cnf(c_0_2207_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),X2),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2207]) ).

cnf(c_0_2208_0,axiom,
    ( X1 = X2
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X1) != hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X2)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2208]) ).

cnf(c_0_2208_1,axiom,
    ( X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X1) != hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X2)
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2208]) ).

cnf(c_0_2208_2,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X1) != hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X2)
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | ~ class_Ring__and__Field_Oidom(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2208]) ).

cnf(c_0_2208_3,axiom,
    ( ~ class_Ring__and__Field_Oidom(X3)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X3),X1) != hAPP(c_HOL_Otimes__class_Otimes(X2,X3),X2)
    | X1 = hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2208]) ).

cnf(c_0_2209_0,axiom,
    ( c_Lim_OisUCont(X1,X2,X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2209]) ).

cnf(c_0_2209_1,axiom,
    ( ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2209]) ).

cnf(c_0_2209_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisUCont(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2209]) ).

cnf(c_0_2209_3,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_RealVector_Obounded__linear(X1,X2,X3)
    | c_Lim_OisUCont(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2209]) ).

cnf(c_0_2210_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(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_2210]) ).

cnf(c_0_2210_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2210]) ).

cnf(c_0_2210_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2210]) ).

cnf(c_0_2210_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)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2210]) ).

cnf(c_0_2211_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_2211]) ).

cnf(c_0_2211_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_2211]) ).

cnf(c_0_2211_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_2211]) ).

cnf(c_0_2211_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_2211]) ).

cnf(c_0_2212_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_2212]) ).

cnf(c_0_2212_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_2212]) ).

cnf(c_0_2212_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_2212]) ).

cnf(c_0_2212_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_2212]) ).

cnf(c_0_2213_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_2213]) ).

cnf(c_0_2213_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_2213]) ).

cnf(c_0_2213_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_2213]) ).

cnf(c_0_2213_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_2213]) ).

cnf(c_0_2214_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_2214]) ).

cnf(c_0_2214_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_2214]) ).

cnf(c_0_2214_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_2214]) ).

cnf(c_0_2214_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_2214]) ).

cnf(c_0_2215_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_2215]) ).

cnf(c_0_2215_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_2215]) ).

cnf(c_0_2215_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_2215]) ).

cnf(c_0_2215_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_2215]) ).

cnf(c_0_2216_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_2216]) ).

cnf(c_0_2216_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_2216]) ).

cnf(c_0_2216_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_2216]) ).

cnf(c_0_2216_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_2216]) ).

cnf(c_0_2217_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_2217]) ).

cnf(c_0_2217_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_2217]) ).

cnf(c_0_2217_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_2217]) ).

cnf(c_0_2217_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_2217]) ).

cnf(c_0_2218_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_2218]) ).

cnf(c_0_2218_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_2218]) ).

cnf(c_0_2218_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_2218]) ).

cnf(c_0_2218_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_2218]) ).

cnf(c_0_2219_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_2219]) ).

cnf(c_0_2219_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_2219]) ).

cnf(c_0_2219_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_2219]) ).

cnf(c_0_2220_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_2220]) ).

cnf(c_0_2220_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_2220]) ).

cnf(c_0_2220_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_2220]) ).

cnf(c_0_2221_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2),X1)
    | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2221]) ).

cnf(c_0_2221_1,axiom,
    ( ~ class_Ring__and__Field_Oordered__ring__strict(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Otimes__class_Otimes(X2,X1),X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2221]) ).

cnf(c_0_2222_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ 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_2222]) ).

cnf(c_0_2222_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2222]) ).

cnf(c_0_2222_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2222]) ).

cnf(c_0_2223_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(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_2223]) ).

cnf(c_0_2223_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2223]) ).

cnf(c_0_2223_2,axiom,
    ( ~ class_Ring__and__Field_Oabs__if(X2)
    | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2223]) ).

cnf(c_0_2224_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ 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_2224]) ).

cnf(c_0_2224_1,axiom,
    ( ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2224]) ).

cnf(c_0_2224_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2224]) ).

cnf(c_0_2225_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X4),X3) != hAPP(c_RealVector_OscaleR__class_OscaleR(X2,X4),X3)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2225]) ).

cnf(c_0_2225_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X4),X3) != hAPP(c_RealVector_OscaleR__class_OscaleR(X2,X4),X3)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2225]) ).

cnf(c_0_2225_2,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X4),X3) != hAPP(c_RealVector_OscaleR__class_OscaleR(X2,X4),X3)
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2225]) ).

cnf(c_0_2225_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X4),X3) != hAPP(c_RealVector_OscaleR__class_OscaleR(X2,X4),X3)
    | X3 = c_HOL_Ozero__class_Ozero(X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2225]) ).

cnf(c_0_2226_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2226]) ).

cnf(c_0_2226_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2226]) ).

cnf(c_0_2226_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2226]) ).

cnf(c_0_2227_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2227]) ).

cnf(c_0_2227_1,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2227]) ).

cnf(c_0_2227_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2227]) ).

cnf(c_0_2228_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2228]) ).

cnf(c_0_2228_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2228]) ).

cnf(c_0_2228_2,axiom,
    ( ~ c_lessequals(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2228]) ).

cnf(c_0_2229_0,axiom,
    ( X1 = X2
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X1) != hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X2)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2229]) ).

cnf(c_0_2229_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X1) != hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X2)
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2229]) ).

cnf(c_0_2229_2,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X1) != hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X2)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2
    | ~ class_RealVector_Oreal__vector(X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2229]) ).

cnf(c_0_2229_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X4)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X1) != hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X4),X2)
    | X3 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2229]) ).

cnf(c_0_2230_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2230]) ).

cnf(c_0_2230_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2),hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2230]) ).

cnf(c_0_2231_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2231]) ).

cnf(c_0_2231_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2231]) ).

cnf(c_0_2232_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2232]) ).

cnf(c_0_2232_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2232]) ).

cnf(c_0_2233_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_RealVector_Oof__real(X1),X2)) = hAPP(c_RealVector_Oof__real(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2))
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2233]) ).

cnf(c_0_2233_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_RealVector_Oof__real(X1),X2)) = hAPP(c_RealVector_Oof__real(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2))
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2233]) ).

cnf(c_0_2233_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_RealVector_Oof__real(X1),X2)) = hAPP(c_RealVector_Oof__real(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2233]) ).

cnf(c_0_2234_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = 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_2234]) ).

cnf(c_0_2234_1,axiom,
    ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = X2
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2234]) ).

cnf(c_0_2234_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2234]) ).

cnf(c_0_2235_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = 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_2235]) ).

cnf(c_0_2235_1,axiom,
    ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = X2
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2235]) ).

cnf(c_0_2235_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
    | hAPP(c_HOL_Oabs__class_Oabs(X1),X2) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2235]) ).

cnf(c_0_2236_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_2236]) ).

cnf(c_0_2236_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_2236]) ).

cnf(c_0_2236_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_2236]) ).

cnf(c_0_2236_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_2236]) ).

cnf(c_0_2237_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_2237]) ).

cnf(c_0_2237_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_2237]) ).

cnf(c_0_2237_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_2237]) ).

cnf(c_0_2237_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_2237]) ).

cnf(c_0_2238_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_2238]) ).

cnf(c_0_2238_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_2238]) ).

cnf(c_0_2238_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_2238]) ).

cnf(c_0_2238_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_2238]) ).

cnf(c_0_2239_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_2239]) ).

cnf(c_0_2239_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_2239]) ).

cnf(c_0_2239_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_2239]) ).

cnf(c_0_2239_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_2239]) ).

cnf(c_0_2240_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_2240]) ).

cnf(c_0_2240_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_2240]) ).

cnf(c_0_2240_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_2240]) ).

cnf(c_0_2240_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_2240]) ).

cnf(c_0_2241_0,axiom,
    ( c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2241]) ).

cnf(c_0_2241_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(X1),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2241]) ).

cnf(c_0_2242_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_RealVector_Oof__real(X1),X2)) = hAPP(c_RealVector_Oof__real(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2))
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2242]) ).

cnf(c_0_2242_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_RealVector_Oof__real(X1),X2)) = hAPP(c_RealVector_Oof__real(X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_RealDef_Oreal),X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2242]) ).

cnf(c_0_2243_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_2243]) ).

cnf(c_0_2243_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_2243]) ).

cnf(c_0_2243_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_2243]) ).

cnf(c_0_2244_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_2244]) ).

cnf(c_0_2244_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_2244]) ).

cnf(c_0_2244_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_2244]) ).

cnf(c_0_2245_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_2245]) ).

cnf(c_0_2245_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_2245]) ).

cnf(c_0_2245_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_2245]) ).

cnf(c_0_2246_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_2246]) ).

cnf(c_0_2246_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_2246]) ).

cnf(c_0_2246_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_2246]) ).

cnf(c_0_2247_0,axiom,
    ( c_lessequals(X1,X2,X3)
    | c_lessequals(X2,X1,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2247]) ).

cnf(c_0_2247_1,axiom,
    ( c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3)
    | ~ class_Orderings_Olinorder(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2247]) ).

cnf(c_0_2247_2,axiom,
    ( ~ class_Orderings_Olinorder(X3)
    | c_lessequals(X2,X1,X3)
    | c_lessequals(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2247]) ).

cnf(c_0_2248_0,axiom,
    ( c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(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_2248]) ).

cnf(c_0_2248_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_lessequals(hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2248]) ).

cnf(c_0_2249_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2249]) ).

cnf(c_0_2249_1,axiom,
    ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2249]) ).

cnf(c_0_2249_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2249]) ).

cnf(c_0_2250_0,axiom,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2250]) ).

cnf(c_0_2250_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2250]) ).

cnf(c_0_2250_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2250]) ).

cnf(c_0_2251_0,axiom,
    ( c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2251]) ).

cnf(c_0_2251_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2251]) ).

cnf(c_0_2251_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_Series_Osums(X1,c_Series_Osuminf(X1,X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2251]) ).

cnf(c_0_2252_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2252]) ).

cnf(c_0_2252_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2252]) ).

cnf(c_0_2252_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2252]) ).

cnf(c_0_2253_0,axiom,
    ( X1 = X2
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2253]) ).

cnf(c_0_2253_1,axiom,
    ( c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2
    | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2253]) ).

cnf(c_0_2253_2,axiom,
    ( c_HOL_Oord__class_Oless(X2,X1,tc_nat)
    | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2253]) ).

cnf(c_0_2254_0,axiom,
    ( X2 = c_Series_Osuminf(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2254]) ).

cnf(c_0_2254_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | X2 = c_Series_Osuminf(X1,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2254]) ).

cnf(c_0_2254_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | X2 = c_Series_Osuminf(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2254]) ).

cnf(c_0_2255_0,axiom,
    ( c_Series_Osuminf(X1,X3) = X2
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2255]) ).

cnf(c_0_2255_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osuminf(X1,X3) = X2
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2255]) ).

cnf(c_0_2255_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osuminf(X1,X3) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2255]) ).

cnf(c_0_2256_0,axiom,
    ( c_SEQ_OCauchy(X1,X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2256]) ).

cnf(c_0_2256_1,axiom,
    ( ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OCauchy(X1,X3)
    | ~ class_RealVector_Ometric__space(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2256]) ).

cnf(c_0_2256_2,axiom,
    ( ~ class_RealVector_Ometric__space(X3)
    | ~ c_SEQ_OLIMSEQ(X1,X2,X3)
    | c_SEQ_OCauchy(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2256]) ).

cnf(c_0_2257_0,axiom,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2257]) ).

cnf(c_0_2257_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osummable(X1,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2257]) ).

cnf(c_0_2257_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osummable(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2257]) ).

cnf(c_0_2258_0,axiom,
    ( c_Series_Osummable(X1,X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2258]) ).

cnf(c_0_2258_1,axiom,
    ( ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osummable(X1,X3)
    | ~ class_RealVector_Oreal__normed__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2258]) ).

cnf(c_0_2258_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X3)
    | ~ c_Series_Osums(X1,X2,X3)
    | c_Series_Osummable(X1,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2258]) ).

cnf(c_0_2259_0,axiom,
    ( c_lessequals(X1,X2,tc_RealDef_Oreal)
    | c_lessequals(X2,X1,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2259]) ).

cnf(c_0_2259_1,axiom,
    ( c_lessequals(X2,X1,tc_RealDef_Oreal)
    | c_lessequals(X1,X2,tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2259]) ).

cnf(c_0_2260_0,axiom,
    ( c_lessequals(X1,X2,tc_nat)
    | c_lessequals(X2,X1,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2260]) ).

cnf(c_0_2260_1,axiom,
    ( c_lessequals(X2,X1,tc_nat)
    | c_lessequals(X1,X2,tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2260]) ).

cnf(c_0_2261_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2261]) ).

cnf(c_0_2261_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2261]) ).

cnf(c_0_2262_0,axiom,
    ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(X1),X2),tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2262]) ).

cnf(c_0_2262_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | c_lessequals(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),hAPP(c_RealVector_Onorm__class_Onorm(X1),X2),tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2262]) ).

cnf(c_0_2263_0,axiom,
    ( c_lessequals(X1,hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2263]) ).

cnf(c_0_2263_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | c_lessequals(X1,hAPP(c_HOL_Oabs__class_Oabs(X2),X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2263]) ).

cnf(c_0_2264_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X3)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2264]) ).

cnf(c_0_2264_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2264]) ).

cnf(c_0_2265_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),c_HOL_Ozero__class_Ozero(X2))
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2265]) ).

cnf(c_0_2265_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = hAPP(c_RealVector_OscaleR__class_OscaleR(X3,X2),c_HOL_Ozero__class_Ozero(X2)) ),
    inference(literals_permutation,[status(thm)],[c_0_2265]) ).

cnf(c_0_2266_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = X1
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2266]) ).

cnf(c_0_2266_1,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = 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_2266]) ).

cnf(c_0_2266_2,axiom,
    ( ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = 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_2266]) ).

cnf(c_0_2266_3,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ class_OrderedGroup_Olordered__ab__group__add__abs(X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2266]) ).

cnf(c_0_2267_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Olinorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2267]) ).

cnf(c_0_2267_1,axiom,
    ( ~ class_Orderings_Olinorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2267]) ).

cnf(c_0_2268_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2268]) ).

cnf(c_0_2268_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2268]) ).

cnf(c_0_2269_0,axiom,
    ( ~ c_HOL_Oord__class_Oless(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2269]) ).

cnf(c_0_2269_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | ~ c_HOL_Oord__class_Oless(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2269]) ).

cnf(c_0_2270_0,axiom,
    ( c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ c_Series_Osummable(X1,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2270]) ).

cnf(c_0_2270_1,axiom,
    ( ~ c_Series_Osummable(X1,X2)
    | c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2270]) ).

cnf(c_0_2270_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | ~ c_Series_Osummable(X1,X2)
    | c_SEQ_OLIMSEQ(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2270]) ).

cnf(c_0_2271_0,axiom,
    ( c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = X1
    | ~ class_Ring__and__Field_Oabs__if(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2271]) ).

cnf(c_0_2271_1,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = 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_2271]) ).

cnf(c_0_2271_2,axiom,
    ( ~ class_Ring__and__Field_Oabs__if(X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) = X1
    | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2271]) ).

cnf(c_0_2272_0,axiom,
    ( X1 = X2
    | ~ c_fequal(X1,X2,X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2272]) ).

cnf(c_0_2272_1,axiom,
    ( ~ c_fequal(X1,X2,X3)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2272]) ).

cnf(c_0_2273_0,axiom,
    ( c_RealVector_Obounded__linear(c_HOL_Otimes__class_Otimes(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2273]) ).

cnf(c_0_2273_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_RealVector_Obounded__linear(c_HOL_Otimes__class_Otimes(X1,X2),X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2273]) ).

cnf(c_0_2274_0,axiom,
    ( c_Lim_OisUCont(c_HOL_Otimes__class_Otimes(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2274]) ).

cnf(c_0_2274_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | c_Lim_OisUCont(c_HOL_Otimes__class_Otimes(X1,X2),X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2274]) ).

cnf(c_0_2275_0,axiom,
    ( c_Lim_OisUCont(c_RealVector_OscaleR__class_OscaleR(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2275]) ).

cnf(c_0_2275_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_Lim_OisUCont(c_RealVector_OscaleR__class_OscaleR(X1,X2),X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2275]) ).

cnf(c_0_2276_0,axiom,
    ( c_RealVector_Obounded__linear(c_RealVector_OscaleR__class_OscaleR(X1,X2),X2,X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2276]) ).

cnf(c_0_2276_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | c_RealVector_Obounded__linear(c_RealVector_OscaleR__class_OscaleR(X1,X2),X2,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2276]) ).

cnf(c_0_2277_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2277]) ).

cnf(c_0_2277_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2277]) ).

cnf(c_0_2277_2,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2277]) ).

cnf(c_0_2277_3,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2277]) ).

cnf(c_0_2278_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2278]) ).

cnf(c_0_2278_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2278]) ).

cnf(c_0_2278_2,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2278]) ).

cnf(c_0_2278_3,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2278]) ).

cnf(c_0_2279_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2279]) ).

cnf(c_0_2279_1,axiom,
    ( X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2279]) ).

cnf(c_0_2279_2,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ono__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2279]) ).

cnf(c_0_2279_3,axiom,
    ( ~ class_Ring__and__Field_Ono__zero__divisors(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X3 = c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2279]) ).

cnf(c_0_2280_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2280]) ).

cnf(c_0_2280_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2280]) ).

cnf(c_0_2281_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2281]) ).

cnf(c_0_2281_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X3) = hAPP(c_HOL_Otimes__class_Otimes(X3,X2),X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2281]) ).

cnf(c_0_2282_0,axiom,
    ( c_lessequals(X2,hAPP(X1,X2),tc_nat)
    | ~ c_SEQ_Osubseq(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2282]) ).

cnf(c_0_2282_1,axiom,
    ( ~ c_SEQ_Osubseq(X1)
    | c_lessequals(X2,hAPP(X1,X2),tc_nat) ),
    inference(literals_permutation,[status(thm)],[c_0_2282]) ).

cnf(c_0_2283_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X3),X2) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2283]) ).

cnf(c_0_2283_1,axiom,
    ( X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X3),X2) != c_HOL_Ozero__class_Ozero(X3)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2283]) ).

cnf(c_0_2283_2,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X3),X2) != c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__vector(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2283]) ).

cnf(c_0_2283_3,axiom,
    ( ~ class_RealVector_Oreal__vector(X3)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X3),X2) != c_HOL_Ozero__class_Ozero(X3)
    | X2 = c_HOL_Ozero__class_Ozero(X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2283]) ).

cnf(c_0_2284_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Oabs__class_Oabs(X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2284]) ).

cnf(c_0_2284_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_HOL_Oabs__class_Oabs(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2284]) ).

cnf(c_0_2285_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)) = hAPP(c_HOL_Oabs__class_Oabs(X1),X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2285]) ).

cnf(c_0_2285_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | hAPP(c_HOL_Oabs__class_Oabs(X1),hAPP(c_HOL_Oabs__class_Oabs(X1),X2)) = hAPP(c_HOL_Oabs__class_Oabs(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2285]) ).

cnf(c_0_2286_0,axiom,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X1),X2)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2286]) ).

cnf(c_0_2286_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(c_RealVector_Onorm__class_Onorm(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = hAPP(c_RealVector_Onorm__class_Onorm(X1),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2286]) ).

cnf(c_0_2287_0,axiom,
    ( X1 = X2
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2287]) ).

cnf(c_0_2287_1,axiom,
    ( hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | X1 = X2
    | hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2287]) ).

cnf(c_0_2287_2,axiom,
    ( hAPP(c_Complex_OIm,X1) != hAPP(c_Complex_OIm,X2)
    | hAPP(c_Complex_ORe,X1) != hAPP(c_Complex_ORe,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2287]) ).

cnf(c_0_2288_0,axiom,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2288]) ).

cnf(c_0_2288_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | ~ class_Lattices_Oboolean__algebra(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2288]) ).

cnf(c_0_2288_2,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X3)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2288]) ).

cnf(c_0_2289_0,axiom,
    ( X1 = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2289]) ).

cnf(c_0_2289_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2
    | ~ class_OrderedGroup_Ogroup__add(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2289]) ).

cnf(c_0_2289_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X3)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X3),X1) != hAPP(c_HOL_Ouminus__class_Ouminus(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2289]) ).

cnf(c_0_2290_0,axiom,
    ( X1 = X2
    | hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2290]) ).

cnf(c_0_2290_1,axiom,
    ( hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | X1 = X2
    | ~ class_RealVector_Oreal__algebra__1(X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2290]) ).

cnf(c_0_2290_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X3)
    | hAPP(c_RealVector_Oof__real(X3),X1) != hAPP(c_RealVector_Oof__real(X3),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2290]) ).

cnf(c_0_2291_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2291]) ).

cnf(c_0_2291_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2291]) ).

cnf(c_0_2292_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2292]) ).

cnf(c_0_2292_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2292]) ).

cnf(c_0_2293_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2293]) ).

cnf(c_0_2293_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1)) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2293]) ).

cnf(c_0_2294_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2294]) ).

cnf(c_0_2294_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2294]) ).

cnf(c_0_2295_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2295]) ).

cnf(c_0_2295_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2)) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2295]) ).

cnf(c_0_2296_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2296]) ).

cnf(c_0_2296_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2296]) ).

cnf(c_0_2297_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2297]) ).

cnf(c_0_2297_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2297]) ).

cnf(c_0_2298_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2298]) ).

cnf(c_0_2298_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2298]) ).

cnf(c_0_2299_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2299]) ).

cnf(c_0_2299_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2299]) ).

cnf(c_0_2300_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Omult__zero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2300]) ).

cnf(c_0_2300_1,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2300]) ).

cnf(c_0_2301_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2301]) ).

cnf(c_0_2301_1,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X1)
    | hAPP(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X1),X1),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2301]) ).

cnf(c_0_2302_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Opreorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2302]) ).

cnf(c_0_2302_1,axiom,
    ( ~ class_Orderings_Opreorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2302]) ).

cnf(c_0_2303_0,axiom,
    ( c_lessequals(X1,X1,X2)
    | ~ class_Orderings_Oorder(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2303]) ).

cnf(c_0_2303_1,axiom,
    ( ~ class_Orderings_Oorder(X2)
    | c_lessequals(X1,X1,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2303]) ).

cnf(c_0_2304_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2304]) ).

cnf(c_0_2304_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2304]) ).

cnf(c_0_2305_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2305]) ).

cnf(c_0_2305_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2305]) ).

cnf(c_0_2306_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2306]) ).

cnf(c_0_2306_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X2)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2306]) ).

cnf(c_0_2307_0,axiom,
    ( hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2307]) ).

cnf(c_0_2307_1,axiom,
    ( ~ class_RealVector_Oreal__vector(X1)
    | hAPP(c_RealVector_OscaleR__class_OscaleR(c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal),X1),X2) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2307]) ).

cnf(c_0_2308_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2308]) ).

cnf(c_0_2308_1,axiom,
    ( ~ class_Ring__and__Field_Ocomm__semiring__1(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2308]) ).

cnf(c_0_2309_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2309]) ).

cnf(c_0_2309_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2309]) ).

cnf(c_0_2310_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__algebra(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2310]) ).

cnf(c_0_2310_1,axiom,
    ( ~ class_RealVector_Oreal__normed__algebra(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2310]) ).

cnf(c_0_2311_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Omult__zero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2311]) ).

cnf(c_0_2311_1,axiom,
    ( ~ class_Ring__and__Field_Omult__zero(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2311]) ).

cnf(c_0_2312_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_Ring__and__Field_Oring__no__zero__divisors(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2312]) ).

cnf(c_0_2312_1,axiom,
    ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),c_HOL_Ozero__class_Ozero(X2)) = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2312]) ).

cnf(c_0_2313_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X3) ),
    inference(literals_permutation,[status(thm)],[c_0_2313]) ).

cnf(c_0_2313_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X2,X1) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X3)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2313]) ).

cnf(c_0_2314_0,axiom,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2314]) ).

cnf(c_0_2314_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X1,X3) != hAPP(c_RealVector_Oof__real(tc_Complex_Ocomplex),X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2314]) ).

cnf(c_0_2315_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2315]) ).

cnf(c_0_2315_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Ogroup__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2315]) ).

cnf(c_0_2315_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2315]) ).

cnf(c_0_2316_0,axiom,
    ( c_HOL_Ozero__class_Ozero(X1) = X2
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2316]) ).

cnf(c_0_2316_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Ozero__class_Ozero(X1) = X2
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2316]) ).

cnf(c_0_2316_2,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),X2) != c_HOL_Ozero__class_Ozero(X1)
    | c_HOL_Ozero__class_Ozero(X1) = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2316]) ).

cnf(c_0_2317_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2317]) ).

cnf(c_0_2317_1,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X2),X1) != 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_2317]) ).

cnf(c_0_2317_2,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X2)
    | hAPP(c_HOL_Oabs__class_Oabs(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2317]) ).

cnf(c_0_2318_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2318]) ).

cnf(c_0_2318_1,axiom,
    ( hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__algebra__1(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2318]) ).

cnf(c_0_2318_2,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X2)
    | hAPP(c_RealVector_Oof__real(X2),X1) != c_HOL_Ozero__class_Ozero(X2)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2318]) ).

cnf(c_0_2319_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2319]) ).

cnf(c_0_2319_1,axiom,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_RealVector_Oreal__normed__vector(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2319]) ).

cnf(c_0_2319_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X2)
    | hAPP(c_RealVector_Onorm__class_Onorm(X2),X1) != c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2319]) ).

cnf(c_0_2320_0,axiom,
    ( hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X1) = X1
    | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2320]) ).

cnf(c_0_2320_1,axiom,
    ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2)
    | hAPP(c_HOL_Otimes__class_Otimes(X1,X2),X1) = X1 ),
    inference(literals_permutation,[status(thm)],[c_0_2320]) ).

cnf(c_0_2321_0,axiom,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2321]) ).

cnf(c_0_2321_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X3,X1) != c_Complex_Ocomplex_OComplex(X4,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2321]) ).

cnf(c_0_2322_0,axiom,
    ( X1 = X2
    | c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4) ),
    inference(literals_permutation,[status(thm)],[c_0_2322]) ).

cnf(c_0_2322_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X1,X3) != c_Complex_Ocomplex_OComplex(X2,X4)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2322]) ).

cnf(c_0_2323_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2323]) ).

cnf(c_0_2323_1,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2323]) ).

cnf(c_0_2323_2,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X2)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X2),X1) != X1
    | X1 = c_HOL_Ozero__class_Ozero(X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2323]) ).

cnf(c_0_2324_0,axiom,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2324]) ).

cnf(c_0_2324_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2324]) ).

cnf(c_0_2324_2,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2324]) ).

cnf(c_0_2325_0,axiom,
    ( X1 = X2
    | hAPP(c_Complex_Ocnj,X1) != hAPP(c_Complex_Ocnj,X2) ),
    inference(literals_permutation,[status(thm)],[c_0_2325]) ).

cnf(c_0_2325_1,axiom,
    ( hAPP(c_Complex_Ocnj,X1) != hAPP(c_Complex_Ocnj,X2)
    | X1 = X2 ),
    inference(literals_permutation,[status(thm)],[c_0_2325]) ).

cnf(c_0_2326_0,axiom,
    ( hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2326]) ).

cnf(c_0_2326_1,axiom,
    ( ~ class_OrderedGroup_Opordered__ab__group__add__abs(X1)
    | hAPP(c_HOL_Oabs__class_Oabs(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2326]) ).

cnf(c_0_2327_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2327]) ).

cnf(c_0_2327_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2327]) ).

cnf(c_0_2328_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Ogroup__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2328]) ).

cnf(c_0_2328_1,axiom,
    ( ~ class_OrderedGroup_Ogroup__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2328]) ).

cnf(c_0_2329_0,axiom,
    ( hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_OrderedGroup_Oordered__ab__group__add(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2329]) ).

cnf(c_0_2329_1,axiom,
    ( ~ class_OrderedGroup_Oordered__ab__group__add(X1)
    | hAPP(c_HOL_Ouminus__class_Ouminus(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2329]) ).

cnf(c_0_2330_0,axiom,
    ( class_Lattices_Oboolean__algebra(tc_fun(X2,X1))
    | ~ class_Lattices_Oboolean__algebra(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2330]) ).

cnf(c_0_2330_1,axiom,
    ( ~ class_Lattices_Oboolean__algebra(X1)
    | class_Lattices_Oboolean__algebra(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2330]) ).

cnf(c_0_2331_0,axiom,
    ( class_Orderings_Opreorder(tc_fun(X2,X1))
    | ~ class_Orderings_Opreorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2331]) ).

cnf(c_0_2331_1,axiom,
    ( ~ class_Orderings_Opreorder(X1)
    | class_Orderings_Opreorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2331]) ).

cnf(c_0_2332_0,axiom,
    ( class_Orderings_Oorder(tc_fun(X2,X1))
    | ~ class_Orderings_Oorder(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2332]) ).

cnf(c_0_2332_1,axiom,
    ( ~ class_Orderings_Oorder(X1)
    | class_Orderings_Oorder(tc_fun(X2,X1)) ),
    inference(literals_permutation,[status(thm)],[c_0_2332]) ).

cnf(c_0_2333_0,axiom,
    ( hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | ~ class_RealVector_Oreal__normed__vector(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2333]) ).

cnf(c_0_2333_1,axiom,
    ( ~ class_RealVector_Oreal__normed__vector(X1)
    | hAPP(c_RealVector_Onorm__class_Onorm(X1),c_HOL_Ozero__class_Ozero(X1)) = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2333]) ).

cnf(c_0_2334_0,axiom,
    ( hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1)
    | ~ class_RealVector_Oreal__algebra__1(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2334]) ).

cnf(c_0_2334_1,axiom,
    ( ~ class_RealVector_Oreal__algebra__1(X1)
    | hAPP(c_RealVector_Oof__real(X1),c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)) = c_HOL_Ozero__class_Ozero(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2334]) ).

cnf(c_0_2335_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_2335]) ).

cnf(c_0_2335_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X2,X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2335]) ).

cnf(c_0_2336_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal)
    | c_Complex_Ocomplex_OComplex(X1,X2) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_2336]) ).

cnf(c_0_2336_1,axiom,
    ( c_Complex_Ocomplex_OComplex(X1,X2) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | X1 = c_HOL_Ozero__class_Ozero(tc_RealDef_Oreal) ),
    inference(literals_permutation,[status(thm)],[c_0_2336]) ).

cnf(c_0_2337_0,axiom,
    ( X1 = c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex)
    | hAPP(c_Complex_Ocnj,X1) != c_HOL_Ozero__class_Ozero(tc_Complex_Ocomplex) ),
    inference(literals_permutation,[status(thm)],[c_0_2337]) ).

cnf(c_0_2337_1,axiom,
    ( hAPP(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_2337]) ).

cnf(c_0_2338_0,axiom,
    ( c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_Oincseq(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2338]) ).

cnf(c_0_2338_1,axiom,
    ( ~ c_SEQ_Oincseq(X1)
    | c_SEQ_Omonoseq(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2338]) ).

cnf(c_0_2339_0,axiom,
    ( c_SEQ_Omonoseq(X1)
    | ~ c_SEQ_Odecseq(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2339]) ).

cnf(c_0_2339_1,axiom,
    ( ~ c_SEQ_Odecseq(X1)
    | c_SEQ_Omonoseq(X1) ),
    inference(literals_permutation,[status(thm)],[c_0_2339]) ).

% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_631,negated_conjecture,
    ~ v_thesis____,
    file('<stdin>',cls_conjecture_0) ).

fof(c_0_1_632,negated_conjecture,
    ~ v_thesis____,
    inference(fof_simplification,[status(thm)],[c_0_0]) ).

fof(c_0_2_633,negated_conjecture,
    ~ v_thesis____,
    c_0_1 ).

cnf(c_0_3_634,negated_conjecture,
    ~ v_thesis____,
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4_635,negated_conjecture,
    ~ v_thesis____,
    c_0_3,
    [final] ).

% End CNF derivation

%-------------------------------------------------------------
% Proof by iprover

cnf(c_1595,negated_conjecture,
    ~ v_thesis____,
    file('/export/starexec/sandbox2/tmp/iprover_modulo_7516dd.p',c_0_4) ).

cnf(c_1970,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1595]) ).

cnf(c_1974,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1970]) ).

cnf(c_1975,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1974]) ).

cnf(c_1976,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1975]) ).

cnf(c_6730,negated_conjecture,
    ~ v_thesis____,
    inference(copy,[status(esa)],[c_1976]) ).

cnf(c_0,plain,
    ( ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
    | ~ c_SEQ_Osubseq(X0)
    | v_thesis____ ),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_7516dd.p',c_0_1872_0) ).

cnf(c_3573,plain,
    ( ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat))
    | ~ c_SEQ_Osubseq(X0)
    | v_thesis____ ),
    inference(copy,[status(esa)],[c_0]) ).

cnf(c_3574,plain,
    ( v_thesis____
    | ~ c_SEQ_Osubseq(X0)
    | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    inference(rewriting,[status(thm)],[c_3573]) ).

cnf(c_6734,plain,
    ( ~ c_SEQ_Osubseq(X0)
    | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_6730,c_3574]) ).

cnf(c_6735,plain,
    ( ~ c_SEQ_Osubseq(X0)
    | ~ c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,X0,tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)) ),
    inference(rewriting,[status(thm)],[c_6734]) ).

cnf(c_1477,plain,
    c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_7516dd.p',c_0_621_0) ).

cnf(c_6521,plain,
    c_SEQ_Omonoseq(c_COMBB(c_Complex_ORe,c_COMBB(v_s,v_sko__CHAINED__1(v_s),tc_nat,tc_Complex_Ocomplex,tc_nat),tc_Complex_Ocomplex,tc_RealDef_Oreal,tc_nat)),
    inference(copy,[status(esa)],[c_1477]) ).

cnf(c_6744,plain,
    ~ c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
    inference(resolution,[status(thm)],[c_6735,c_6521]) ).

cnf(c_6745,plain,
    ~ c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
    inference(rewriting,[status(thm)],[c_6744]) ).

cnf(c_1478,plain,
    c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
    file('/export/starexec/sandbox2/tmp/iprover_modulo_7516dd.p',c_0_620_0) ).

cnf(c_6523,plain,
    c_SEQ_Osubseq(v_sko__CHAINED__1(v_s)),
    inference(copy,[status(esa)],[c_1478]) ).

cnf(c_6747,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6745,c_6523]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : ALG361-1 : TPTP v8.1.0. Released v4.1.0.
% 0.10/0.13  % Command  : iprover_modulo %s %d
% 0.12/0.34  % Computer : n021.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Thu Jun  9 03:36:53 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  % Running in mono-core mode
% 0.20/0.51  % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.51  % Orientation found
% 0.20/0.51  % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format  " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_0b0016.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_7516dd.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_935e76 | grep -v "SZS"
% 0.20/0.53  
% 0.20/0.53  %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.53  
% 0.20/0.53  % 
% 0.20/0.53  % ------  iProver source info 
% 0.20/0.53  
% 0.20/0.53  % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.53  % git: non_committed_changes: true
% 0.20/0.53  % git: last_make_outside_of_git: true
% 0.20/0.53  
% 0.20/0.53  % 
% 0.20/0.53  % ------ Input Options
% 0.20/0.53  
% 0.20/0.53  % --out_options                         all
% 0.20/0.53  % --tptp_safe_out                       true
% 0.20/0.53  % --problem_path                        ""
% 0.20/0.53  % --include_path                        ""
% 0.20/0.53  % --clausifier                          .//eprover
% 0.20/0.53  % --clausifier_options                  --tstp-format  
% 0.20/0.53  % --stdin                               false
% 0.20/0.53  % --dbg_backtrace                       false
% 0.20/0.53  % --dbg_dump_prop_clauses               false
% 0.20/0.53  % --dbg_dump_prop_clauses_file          -
% 0.20/0.53  % --dbg_out_stat                        false
% 0.20/0.53  
% 0.20/0.53  % ------ General Options
% 0.20/0.53  
% 0.20/0.53  % --fof                                 false
% 0.20/0.53  % --time_out_real                       150.
% 0.20/0.53  % --time_out_prep_mult                  0.2
% 0.20/0.53  % --time_out_virtual                    -1.
% 0.20/0.53  % --schedule                            none
% 0.20/0.53  % --ground_splitting                    input
% 0.20/0.53  % --splitting_nvd                       16
% 0.20/0.53  % --non_eq_to_eq                        false
% 0.20/0.53  % --prep_gs_sim                         true
% 0.20/0.53  % --prep_unflatten                      false
% 0.20/0.53  % --prep_res_sim                        true
% 0.20/0.53  % --prep_upred                          true
% 0.20/0.53  % --res_sim_input                       true
% 0.20/0.53  % --clause_weak_htbl                    true
% 0.20/0.53  % --gc_record_bc_elim                   false
% 0.20/0.53  % --symbol_type_check                   false
% 0.20/0.53  % --clausify_out                        false
% 0.20/0.53  % --large_theory_mode                   false
% 0.20/0.53  % --prep_sem_filter                     none
% 0.20/0.53  % --prep_sem_filter_out                 false
% 0.20/0.53  % --preprocessed_out                    false
% 0.20/0.53  % --sub_typing                          false
% 0.20/0.53  % --brand_transform                     false
% 0.20/0.53  % --pure_diseq_elim                     true
% 0.20/0.53  % --min_unsat_core                      false
% 0.20/0.53  % --pred_elim                           true
% 0.20/0.53  % --add_important_lit                   false
% 0.20/0.53  % --soft_assumptions                    false
% 0.20/0.53  % --reset_solvers                       false
% 0.20/0.53  % --bc_imp_inh                          []
% 0.20/0.53  % --conj_cone_tolerance                 1.5
% 0.20/0.53  % --prolific_symb_bound                 500
% 0.20/0.53  % --lt_threshold                        2000
% 0.20/0.53  
% 0.20/0.53  % ------ SAT Options
% 0.20/0.53  
% 0.20/0.53  % --sat_mode                            false
% 0.20/0.53  % --sat_fm_restart_options              ""
% 0.20/0.53  % --sat_gr_def                          false
% 0.20/0.53  % --sat_epr_types                       true
% 0.20/0.53  % --sat_non_cyclic_types                false
% 0.20/0.53  % --sat_finite_models                   false
% 0.20/0.53  % --sat_fm_lemmas                       false
% 0.20/0.53  % --sat_fm_prep                         false
% 0.20/0.53  % --sat_fm_uc_incr                      true
% 0.20/0.53  % --sat_out_model                       small
% 0.20/0.53  % --sat_out_clauses                     false
% 0.20/0.53  
% 0.20/0.53  % ------ QBF Options
% 0.20/0.53  
% 0.20/0.53  % --qbf_mode                            false
% 0.20/0.53  % --qbf_elim_univ                       true
% 0.20/0.53  % --qbf_sk_in                           true
% 0.20/0.53  % --qbf_pred_elim                       true
% 0.20/0.53  % --qbf_split                           32
% 0.20/0.53  
% 0.20/0.53  % ------ BMC1 Options
% 0.20/0.53  
% 0.20/0.53  % --bmc1_incremental                    false
% 0.20/0.53  % --bmc1_axioms                         reachable_all
% 0.20/0.53  % --bmc1_min_bound                      0
% 0.20/0.53  % --bmc1_max_bound                      -1
% 0.20/0.53  % --bmc1_max_bound_default              -1
% 0.20/0.53  % --bmc1_symbol_reachability            true
% 0.20/0.53  % --bmc1_property_lemmas                false
% 0.20/0.53  % --bmc1_k_induction                    false
% 0.20/0.53  % --bmc1_non_equiv_states               false
% 0.20/0.53  % --bmc1_deadlock                       false
% 0.20/0.53  % --bmc1_ucm                            false
% 0.20/0.53  % --bmc1_add_unsat_core                 none
% 0.20/0.53  % --bmc1_unsat_core_children            false
% 0.20/0.53  % --bmc1_unsat_core_extrapolate_axioms  false
% 0.20/0.53  % --bmc1_out_stat                       full
% 0.20/0.53  % --bmc1_ground_init                    false
% 0.20/0.53  % --bmc1_pre_inst_next_state            false
% 0.20/0.53  % --bmc1_pre_inst_state                 false
% 0.20/0.53  % --bmc1_pre_inst_reach_state           false
% 0.20/0.53  % --bmc1_out_unsat_core                 false
% 0.20/0.53  % --bmc1_aig_witness_out                false
% 0.20/0.53  % --bmc1_verbose                        false
% 0.20/0.53  % --bmc1_dump_clauses_tptp              false
% 1.50/1.89  % --bmc1_dump_unsat_core_tptp           false
% 1.50/1.89  % --bmc1_dump_file                      -
% 1.50/1.89  % --bmc1_ucm_expand_uc_limit            128
% 1.50/1.89  % --bmc1_ucm_n_expand_iterations        6
% 1.50/1.89  % --bmc1_ucm_extend_mode                1
% 1.50/1.89  % --bmc1_ucm_init_mode                  2
% 1.50/1.89  % --bmc1_ucm_cone_mode                  none
% 1.50/1.89  % --bmc1_ucm_reduced_relation_type      0
% 1.50/1.89  % --bmc1_ucm_relax_model                4
% 1.50/1.89  % --bmc1_ucm_full_tr_after_sat          true
% 1.50/1.89  % --bmc1_ucm_expand_neg_assumptions     false
% 1.50/1.89  % --bmc1_ucm_layered_model              none
% 1.50/1.89  % --bmc1_ucm_max_lemma_size             10
% 1.50/1.89  
% 1.50/1.89  % ------ AIG Options
% 1.50/1.89  
% 1.50/1.89  % --aig_mode                            false
% 1.50/1.89  
% 1.50/1.89  % ------ Instantiation Options
% 1.50/1.89  
% 1.50/1.89  % --instantiation_flag                  true
% 1.50/1.89  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.50/1.89  % --inst_solver_per_active              750
% 1.50/1.89  % --inst_solver_calls_frac              0.5
% 1.50/1.89  % --inst_passive_queue_type             priority_queues
% 1.50/1.89  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.50/1.89  % --inst_passive_queues_freq            [25;2]
% 1.50/1.89  % --inst_dismatching                    true
% 1.50/1.89  % --inst_eager_unprocessed_to_passive   true
% 1.50/1.89  % --inst_prop_sim_given                 true
% 1.50/1.89  % --inst_prop_sim_new                   false
% 1.50/1.89  % --inst_orphan_elimination             true
% 1.50/1.89  % --inst_learning_loop_flag             true
% 1.50/1.89  % --inst_learning_start                 3000
% 1.50/1.89  % --inst_learning_factor                2
% 1.50/1.89  % --inst_start_prop_sim_after_learn     3
% 1.50/1.89  % --inst_sel_renew                      solver
% 1.50/1.89  % --inst_lit_activity_flag              true
% 1.50/1.89  % --inst_out_proof                      true
% 1.50/1.89  
% 1.50/1.89  % ------ Resolution Options
% 1.50/1.89  
% 1.50/1.89  % --resolution_flag                     true
% 1.50/1.89  % --res_lit_sel                         kbo_max
% 1.50/1.89  % --res_to_prop_solver                  none
% 1.50/1.89  % --res_prop_simpl_new                  false
% 1.50/1.89  % --res_prop_simpl_given                false
% 1.50/1.89  % --res_passive_queue_type              priority_queues
% 1.50/1.89  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.50/1.89  % --res_passive_queues_freq             [15;5]
% 1.50/1.89  % --res_forward_subs                    full
% 1.50/1.89  % --res_backward_subs                   full
% 1.50/1.89  % --res_forward_subs_resolution         true
% 1.50/1.89  % --res_backward_subs_resolution        true
% 1.50/1.89  % --res_orphan_elimination              false
% 1.50/1.89  % --res_time_limit                      1000.
% 1.50/1.89  % --res_out_proof                       true
% 1.50/1.89  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_0b0016.s
% 1.50/1.89  % --modulo                              true
% 1.50/1.89  
% 1.50/1.89  % ------ Combination Options
% 1.50/1.89  
% 1.50/1.89  % --comb_res_mult                       1000
% 1.50/1.89  % --comb_inst_mult                      300
% 1.50/1.89  % ------ 
% 1.50/1.89  
% 1.50/1.89  % ------ Parsing...% successful
% 1.50/1.89  
% 1.50/1.89  % ------ 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 % 
% 1.50/1.89  
% 1.50/1.89  % ------ Proving...
% 1.50/1.89  % ------ Problem Properties 
% 1.50/1.89  
% 1.50/1.89  % 
% 1.50/1.89  % EPR                                   false
% 1.50/1.89  % Horn                                  false
% 1.50/1.89  % Has equality                          true
% 1.50/1.89  
% 1.50/1.89  % % ------ Input Options Time Limit: Unbounded
% 1.50/1.89  
% 1.50/1.89  
% 1.50/1.89  Compiling...
% 1.50/1.89  Loading plugin: done.
% 1.50/1.89  Compiling...
% 1.50/1.89  Loading plugin: done.
% 1.50/1.89  Compiling...
% 1.50/1.89  Loading plugin: done.
% 1.50/1.89  Compiling...
% 1.50/1.89  Loading plugin: done.
% 1.50/1.89  Compiling...
% 1.50/1.89  Loading plugin: done.
% 1.50/1.89  Compiling...
% 1.50/1.89  Loading plugin: done.
% 1.50/1.89  Compiling...
% 1.50/1.89  Loading plugin: done.
% 1.50/1.89  Compiling...
% 1.50/1.89  Loading plugin: done.
% 1.50/1.89  Compiling...
% 1.50/1.89  Loading plugin: done.
% 1.50/1.89  % % ------ Current options:
% 1.50/1.89  
% 1.50/1.89  % ------ Input Options
% 1.50/1.89  
% 1.50/1.89  % --out_options                         all
% 1.50/1.89  % --tptp_safe_out                       true
% 1.50/1.89  % --problem_path                        ""
% 1.50/1.89  % --include_path                        ""
% 1.50/1.89  % --clausifier                          .//eprover
% 1.50/1.89  % --clausifier_options                  --tstp-format  
% 1.50/1.89  % --stdin                               false
% 1.50/1.89  % --dbg_backtrace                       false
% 1.50/1.89  % --dbg_dump_prop_clauses               false
% 1.50/1.89  % --dbg_dump_prop_clauses_file          -
% 1.50/1.89  % --dbg_out_stat                        false
% 1.50/1.89  
% 1.50/1.89  % ------ General Options
% 1.50/1.89  
% 1.50/1.89  % --fof                                 false
% 1.50/1.89  % --time_out_real                       150.
% 1.50/1.89  % --time_out_prep_mult                  0.2
% 1.50/1.89  % --time_out_virtual                    -1.
% 1.50/1.89  % --schedule                            none
% 1.50/1.89  % --ground_splitting                    input
% 1.50/1.89  % --splitting_nvd                       16
% 1.50/1.89  % --non_eq_to_eq                        false
% 1.50/1.89  % --prep_gs_sim                         true
% 1.50/1.89  % --prep_unflatten                      false
% 1.50/1.89  % --prep_res_sim                        true
% 1.50/1.89  % --prep_upred                          true
% 1.50/1.89  % --res_sim_input                       true
% 1.50/1.89  % --clause_weak_htbl                    true
% 1.50/1.89  % --gc_record_bc_elim                   false
% 1.50/1.89  % --symbol_type_check                   false
% 1.50/1.89  % --clausify_out                        false
% 1.50/1.89  % --large_theory_mode                   false
% 1.50/1.89  % --prep_sem_filter                     none
% 1.50/1.89  % --prep_sem_filter_out                 false
% 1.50/1.89  % --preprocessed_out                    false
% 1.50/1.89  % --sub_typing                          false
% 1.50/1.89  % --brand_transform                     false
% 1.50/1.89  % --pure_diseq_elim                     true
% 1.50/1.89  % --min_unsat_core                      false
% 1.50/1.89  % --pred_elim                           true
% 1.50/1.89  % --add_important_lit                   false
% 1.50/1.89  % --soft_assumptions                    false
% 1.50/1.89  % --reset_solvers                       false
% 1.50/1.89  % --bc_imp_inh                          []
% 1.50/1.89  % --conj_cone_tolerance                 1.5
% 1.50/1.89  % --prolific_symb_bound                 500
% 1.50/1.89  % --lt_threshold                        2000
% 1.50/1.89  
% 1.50/1.89  % ------ SAT Options
% 1.50/1.89  
% 1.50/1.89  % --sat_mode                            false
% 1.50/1.89  % --sat_fm_restart_options              ""
% 1.50/1.89  % --sat_gr_def                          false
% 1.50/1.89  % --sat_epr_types                       true
% 1.50/1.89  % --sat_non_cyclic_types                false
% 1.50/1.89  % --sat_finite_models                   false
% 1.50/1.89  % --sat_fm_lemmas                       false
% 1.50/1.89  % --sat_fm_prep                         false
% 1.50/1.89  % --sat_fm_uc_incr                      true
% 1.50/1.89  % --sat_out_model                       small
% 1.50/1.89  % --sat_out_clauses                     false
% 1.50/1.89  
% 1.50/1.89  % ------ QBF Options
% 1.50/1.89  
% 1.50/1.89  % --qbf_mode                            false
% 1.50/1.89  % --qbf_elim_univ                       true
% 1.50/1.89  % --qbf_sk_in                           true
% 1.50/1.89  % --qbf_pred_elim                       true
% 1.50/1.89  % --qbf_split                           32
% 1.50/1.89  
% 1.50/1.89  % ------ BMC1 Options
% 1.50/1.89  
% 1.50/1.89  % --bmc1_incremental                    false
% 1.50/1.89  % --bmc1_axioms                         reachable_all
% 1.50/1.89  % --bmc1_min_bound                      0
% 1.50/1.89  % --bmc1_max_bound                      -1
% 1.50/1.89  % --bmc1_max_bound_default              -1
% 1.50/1.89  % --bmc1_symbol_reachability            true
% 1.50/1.89  % --bmc1_property_lemmas                false
% 1.50/1.89  % --bmc1_k_induction                    false
% 1.50/1.89  % --bmc1_non_equiv_states               false
% 1.50/1.89  % --bmc1_deadlock                       false
% 1.50/1.89  % --bmc1_ucm                            false
% 1.50/1.89  % --bmc1_add_unsat_core                 none
% 1.50/1.89  % --bmc1_unsat_core_children            false
% 1.50/1.89  % --bmc1_unsat_core_extrapolate_axioms  false
% 1.50/1.89  % --bmc1_out_stat                       full
% 1.50/1.89  % --bmc1_ground_init                    false
% 1.50/1.89  % --bmc1_pre_inst_next_state            false
% 1.50/1.89  % --bmc1_pre_inst_state                 false
% 1.50/1.89  % --bmc1_pre_inst_reach_state           false
% 1.50/1.89  % --bmc1_out_unsat_core                 false
% 1.50/1.89  % --bmc1_aig_witness_out                false
% 1.50/1.89  % --bmc1_verbose                        false
% 1.50/1.89  % --bmc1_dump_clauses_tptp              false
% 1.50/1.89  % --bmc1_dump_unsat_core_tptp           false
% 1.50/1.89  % --bmc1_dump_file                      -
% 1.50/1.89  % --bmc1_ucm_expand_uc_limit            128
% 1.50/1.89  % --bmc1_ucm_n_expand_iterations        6
% 1.50/1.89  % --bmc1_ucm_extend_mode                1
% 1.50/1.89  % --bmc1_ucm_init_mode                  2
% 1.50/1.89  % --bmc1_ucm_cone_mode                  none
% 1.50/1.89  % --bmc1_ucm_reduced_relation_type      0
% 1.50/1.89  % --bmc1_ucm_relax_model                4
% 1.50/1.89  % --bmc1_ucm_full_tr_after_sat          true
% 1.50/1.89  % --bmc1_ucm_expand_neg_assumptions     false
% 1.50/1.89  % --bmc1_ucm_layered_model              none
% 1.50/1.89  % --bmc1_ucm_max_lemma_size             10
% 1.50/1.89  
% 1.50/1.89  % ------ AIG Options
% 1.50/1.89  
% 1.50/1.89  % --aig_mode                            false
% 1.50/1.89  
% 1.50/1.89  % ------ Instantiation Options
% 1.50/1.89  
% 1.50/1.89  % --instantiation_flag                  true
% 1.50/1.89  % --inst_lit_sel                        [+prop;+sign;+ground;-num_var;-num_symb]
% 1.50/1.89  % --inst_solver_per_active              750
% 1.50/1.89  % --inst_solver_calls_frac              0.5
% 1.50/1.89  % --inst_passive_queue_type             priority_queues
% 1.50/1.89  % --inst_passive_queues                 [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 1.50/1.89  % --inst_passive_queues_freq            [25;2]
% 1.50/1.89  % --inst_dismatching                    true
% 1.50/1.89  % --inst_eager_unprocessed_to_passive   true
% 1.50/1.89  % --inst_prop_sim_given                 true
% 1.50/1.89  % --inst_prop_sim_new                   false
% 1.50/1.89  % --inst_orphan_elimination             true
% 1.50/1.89  % --inst_learning_loop_flag             true
% 1.50/1.89  % --inst_learning_start                 3000
% 1.50/1.89  % --inst_learning_factor                2
% 1.50/1.89  % --inst_start_prop_sim_after_learn     3
% 1.50/1.89  % --inst_sel_renew                      solver
% 1.50/1.89  % --inst_lit_activity_flag              true
% 1.50/1.89  % --inst_out_proof                      true
% 1.50/1.89  
% 1.50/1.89  % ------ Resolution Options
% 1.50/1.89  
% 1.50/1.89  % --resolution_flag                     true
% 1.50/1.89  % --res_lit_sel                         kbo_max
% 1.50/1.89  % --res_to_prop_solver                  none
% 1.50/1.89  % --res_prop_simpl_new                  false
% 1.50/1.89  % --res_prop_simpl_given                false
% 1.50/1.89  % --res_passive_queue_type              priority_queues
% 1.50/1.89  % --res_passive_queues                  [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 1.50/1.89  % --res_passive_queues_freq             [15;5]
% 1.50/1.89  % --res_forward_subs                    full
% 1.50/1.89  % --res_backward_subs                   full
% 1.50/1.89  % --res_forward_subs_resolution         true
% 1.50/1.89  % --res_backward_subs_resolution        true
% 1.50/1.89  % --res_orphan_elimination              false
% 1.50/1.89  % --res_time_limit                      1000.
% 1.50/1.89  % --res_out_proof                       true
% 1.50/1.89  % --proof_out_file                      /export/starexec/sandbox2/tmp/iprover_proof_0b0016.s
% 1.50/1.89  % --modulo                              true
% 1.50/1.89  
% 1.50/1.89  % ------ Combination Options
% 1.50/1.89  
% 1.50/1.89  % --comb_res_mult                       1000
% 1.50/1.89  % --comb_inst_mult                      300
% 1.50/1.89  % ------ 
% 1.50/1.89  
% 1.50/1.89  
% 1.50/1.89  
% 1.50/1.89  % ------ Proving...
% 1.50/1.89  % 
% 1.50/1.89  
% 1.50/1.89  
% 1.50/1.89  %  Resolution empty clause
% 1.50/1.89  
% 1.50/1.89  % ------                             Statistics
% 1.50/1.89  
% 1.50/1.89  % ------ General
% 1.50/1.89  
% 1.50/1.89  % num_of_input_clauses:                 1596
% 1.50/1.89  % num_of_input_neg_conjectures:         1
% 1.50/1.89  % num_of_splits:                        0
% 1.50/1.89  % num_of_split_atoms:                   0
% 1.50/1.89  % num_of_sem_filtered_clauses:          0
% 1.50/1.89  % num_of_subtypes:                      0
% 1.50/1.89  % monotx_restored_types:                0
% 1.50/1.89  % sat_num_of_epr_types:                 0
% 1.50/1.89  % sat_num_of_non_cyclic_types:          0
% 1.50/1.89  % sat_guarded_non_collapsed_types:      0
% 1.50/1.89  % is_epr:                               0
% 1.50/1.89  % is_horn:                              0
% 1.50/1.89  % has_eq:                               1
% 1.50/1.89  % num_pure_diseq_elim:                  0
% 1.50/1.89  % simp_replaced_by:                     0
% 1.50/1.89  % res_preprocessed:                     2
% 1.50/1.89  % prep_upred:                           0
% 1.50/1.89  % prep_unflattend:                      0
% 1.50/1.89  % pred_elim_cands:                      0
% 1.50/1.89  % pred_elim:                            0
% 1.50/1.89  % pred_elim_cl:                         0
% 1.50/1.89  % pred_elim_cycles:                     0
% 1.50/1.89  % forced_gc_time:                       0
% 1.50/1.89  % gc_basic_clause_elim:                 0
% 1.50/1.89  % parsing_time:                         0.09
% 1.50/1.89  % sem_filter_time:                      0.
% 1.50/1.89  % pred_elim_time:                       0.
% 1.50/1.89  % out_proof_time:                       0.
% 1.50/1.89  % monotx_time:                          0.
% 1.50/1.89  % subtype_inf_time:                     0.
% 1.50/1.89  % unif_index_cands_time:                0.
% 1.50/1.89  % unif_index_add_time:                  0.
% 1.50/1.89  % total_time:                           1.378
% 1.50/1.89  % num_of_symbols:                       116
% 1.50/1.89  % num_of_terms:                         3043
% 1.50/1.89  
% 1.50/1.89  % ------ Propositional Solver
% 1.50/1.89  
% 1.50/1.89  % prop_solver_calls:                    1
% 1.50/1.89  % prop_fast_solver_calls:               3
% 1.50/1.89  % prop_num_of_clauses:                  1355
% 1.50/1.89  % prop_preprocess_simplified:           4861
% 1.50/1.89  % prop_fo_subsumed:                     0
% 1.50/1.89  % prop_solver_time:                     0.
% 1.50/1.89  % prop_fast_solver_time:                0.
% 1.50/1.89  % prop_unsat_core_time:                 0.
% 1.50/1.89  
% 1.50/1.89  % ------ QBF 
% 1.50/1.89  
% 1.50/1.89  % qbf_q_res:                            0
% 1.50/1.89  % qbf_num_tautologies:                  0
% 1.50/1.89  % qbf_prep_cycles:                      0
% 1.50/1.89  
% 1.50/1.89  % ------ BMC1
% 1.50/1.89  
% 1.50/1.89  % bmc1_current_bound:                   -1
% 1.50/1.89  % bmc1_last_solved_bound:               -1
% 1.50/1.89  % bmc1_unsat_core_size:                 -1
% 1.50/1.89  % bmc1_unsat_core_parents_size:         -1
% 1.50/1.90  % bmc1_merge_next_fun:                  0
% 1.50/1.90  % bmc1_unsat_core_clauses_time:         0.
% 1.50/1.90  
% 1.50/1.90  % ------ Instantiation
% 1.50/1.90  
% 1.50/1.90  % inst_num_of_clauses:                  1434
% 1.50/1.90  % inst_num_in_passive:                  0
% 1.50/1.90  % inst_num_in_active:                   0
% 1.50/1.90  % inst_num_in_unprocessed:              1596
% 1.50/1.90  % inst_num_of_loops:                    0
% 1.50/1.90  % inst_num_of_learning_restarts:        0
% 1.50/1.90  % inst_num_moves_active_passive:        0
% 1.50/1.90  % inst_lit_activity:                    0
% 1.50/1.90  % inst_lit_activity_moves:              0
% 1.50/1.90  % inst_num_tautologies:                 0
% 1.50/1.90  % inst_num_prop_implied:                0
% 1.50/1.90  % inst_num_existing_simplified:         0
% 1.50/1.90  % inst_num_eq_res_simplified:           0
% 1.50/1.90  % inst_num_child_elim:                  0
% 1.50/1.90  % inst_num_of_dismatching_blockings:    0
% 1.50/1.90  % inst_num_of_non_proper_insts:         0
% 1.50/1.90  % inst_num_of_duplicates:               0
% 1.50/1.90  % inst_inst_num_from_inst_to_res:       0
% 1.50/1.90  % inst_dismatching_checking_time:       0.
% 1.50/1.90  
% 1.50/1.90  % ------ Resolution
% 1.50/1.90  
% 1.50/1.90  % res_num_of_clauses:                   1654
% 1.50/1.90  % res_num_in_passive:                   2
% 1.50/1.90  % res_num_in_active:                    585
% 1.50/1.90  % res_num_of_loops:                     3
% 1.50/1.90  % res_forward_subset_subsumed:          975
% 1.50/1.90  % res_backward_subset_subsumed:         3
% 1.50/1.90  % res_forward_subsumed:                 0
% 1.50/1.90  % res_backward_subsumed:                0
% 1.50/1.90  % res_forward_subsumption_resolution:   1
% 1.50/1.90  % res_backward_subsumption_resolution:  1
% 1.50/1.90  % res_clause_to_clause_subsumption:     2
% 1.50/1.90  % res_orphan_elimination:               0
% 1.50/1.90  % res_tautology_del:                    0
% 1.50/1.90  % res_num_eq_res_simplified:            0
% 1.50/1.90  % res_num_sel_changes:                  0
% 1.50/1.90  % res_moves_from_active_to_pass:        0
% 1.50/1.90  
% 1.50/1.90  % Status Unsatisfiable
% 1.50/1.90  % SZS status Unsatisfiable
% 1.50/1.90  % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------